A boy of mass 60 kg and a girl of mass 40 kg are together and at rest on a frozen pond and push each other apart. The girl moves in a negative direction with a speed of 3 m/s. What must be the final momentum of the boy?
A. 100 kgm/s
B. 120 kgm/s
C. -120 kgm/s
D. 40 kgm/s

Answers

Answer 1

Answer:

B. 120 kgm/s

Explanation:

The initial momentum of the system is zero since the boy and the girl are at rest. When they push each other apart, the total momentum of the system remains conserved. Since the girl moves in a negative direction, the boy must move in the positive direction with the same momentum to keep the total momentum of the system zero.

Let's assume the final momentum of the boy is p. According to the law of conservation of momentum,

(initial momentum) = (final momentum)

0 = p + (-40 kg)(-3 m/s)

0 = p + 120 kg m/s

p = -120 kg m/s

Therefore, the final momentum of the boy must be 120 kg m/s in the positive direction, which is answer choice B.

Answer 2

Ans

According to the law of conservation of momentum, the total momentum of the system before and after the interaction must be equal. Initially, the momentum of the system is zero since the boy and the girl are at rest. When they push each other, the girl moves in the negative direction with a speed of 3 m/s. Let's assume that the boy moves in the positive direction with a speed of v m/s.

The total initial momentum of the system is:

P_initial = m_boy * 0 + m_girl * 0 = 0

The total final momentum of the system must also be zero since there are no external forces acting on the system. Therefore:

P_final = m_boy * v + m_girl * (-3) = 0

where m_boy = 60 kg, m_girl = 40 kg, and v is the final speed of the boy in m/s.

Solving for v, we get:

60v - 120 = 0

v = 2 m/s

Therefore, the total final momentum of the boy must be:

P_final = m_boy * v = 60 kg * 2 m/s = 120 kg m/s.

So, the total final momentum of the boy must be 120 kg m/s.


Related Questions

Will the placement of the continents on Earth look different in 100 million years than today?

Answers

Answer:

Yes

Explanation:

Continents is constantly moving, but at very slow rate.

This is due to the movement of the tectonic plate underneath the earth surface.

On average they move about 10 cm per year.

So in 100 million, they will move 10,000 km.

Of course, how the continents looks 100 million years from now will be very different than today.

A mass of 10kg suspended on a steel rod of length 2m and radius 1mm what is the elongation of the rod beyond it's original length (Take E = 200*10^9 Newton per metre square

Answers

The elongation of the rod beyond its original length would be 2.5 mm.

Elongation calculation

To elongation of the rod can be deduced using the formula:

ΔL = FL / AE

where:

ΔL is the elongationF is the force appliedL is the original length of the rodA is the cross-sectional area of the rodE is Young's modulus of elasticity of the material.

The cross-sectional area of the steel rod is given by:

A = π[tex]r^2[/tex]A = π[tex](0.001 m)^2[/tex] = 7.85 x [tex]10^{-7} m^2[/tex]

The force applied to the rod:

F = mgF = 10 x 9.81 = 98.1 N

Thus:

ΔL = (98.1 x 2) / ((7.85 x [tex]10^{-7[/tex]) x (200 x [tex]10^9[/tex] ))

ΔL = 0.0025 m = 2.5 mm

In other words, the elongation of the steel rod beyond its original length is 2.5 mm.

More on Young modulus can be found here: https://brainly.com/question/14070556

#SPJ1

calculate the electric field at the centre of a square 60cm on a side if one corneris occupied by a +45uC charge and the other three corners are occupied by -31uC charge

Answers

Answer:

E_total = 1.39 x 10^5 N/C

Explanation:

We can calculate the electric field at the center of the square using the principle of superposition. We will treat each charge as a point charge and calculate the electric field due to each charge, and then add them up vectorially.

Let's assume that the positive charge is located at the bottom-left corner of the square, and the negative charges are located at the other three corners. The distance from the charges to the center of the square is:

r = 60 cm / 2 = 30 cm

The electric field due to a point charge is given by Coulomb's law:

E = k*q / r^2

where k is the Coulomb constant, q is the charge, and r is the distance between the charge and the point where we want to calculate the electric field.

For the positive charge, we have:

E1 = k*q1 / r^2

E1 = (9 x 10^9 Nm^2/C^2)(45 x 10^-6 C) / (0.3 m)^2

E1 = 4.50 x 10^5 N/C

The electric field due to the negative charges is:

E2 = k*q2 / r^2

E2 = (9 x 10^9 Nm^2/C^2)(-31 x 10^-6 C) / (0.3 m)^2

E2 = -3.11 x 10^5 N/C

Since the negative charges are at opposite corners, the direction of the electric field due to each charge cancels out, so we only need to consider the magnitude of the electric field due to the negative charges.

The total electric field at the center of the square is:

E_total = E1 + E2

E_total = 4.50 x 10^5 N/C - 3.11 x 10^5 N/C

E_total = 1.39 x 10^5 N/C

The direction of the electric field at the center of the square is the direction of the net electric field due to the two charges, which is from the positive charge to the negative charges. This direction is along the diagonal of the square, at a 45 degree angle with respect to the sides of the square.

what are the two major types of mechanical energy and how do you calculate each equations with variables identified?

Answers

The two major types of mechanical energy are kinetic energy and potential energy.

The equation to calculate both of them are:

KE = 1/2 * m * v^2

PE = m * g * h

What is Kinetic energy?

Kinetic energy is described as the energy an object possesses due to its motion. The equation to calculate kinetic energy is:

KE = 1/2 * m * v^2

Where:

KE = Kinetic energy

m = Mass of the object

v = Velocity of the object

Potential energy is described as  the energy an object possesses due to its position or configuration.

. The equation to calculate gravitational potential energy is:

PE = m * g * h

Where:

PE = Gravitational potential energy

m = Mass of the object

g = Acceleration due to gravity (9.81 m/s^2 on Earth)

h = Height or elevation of the object relative to a reference point

Learn more about kinetic energy at: https://brainly.com/question/8101588

#SPJ1

From a sack of fruit containing 3 Apples ,2 Bananas ​, and 3 oranges ​, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of bananas in the sample.
​(a) Find the joint probability distribution of X and Y.
​(b) Find ​P[(X,Y)​A], where A is the region that is given

Answers

The joint probability distribution of X and Y is 2/70 and 3/70.

The value of P[(X,Y)A], where A is the region that is given is 1/2.

How to calculate the probability

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The value of P[(X,Y)A], where A is the region that is given is:

= 0 + 2/70 + 3/70 + 3/70 + 18/70 + 9/70

= 35 / 70

= 1/2.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Four point masses 2kg, 4kg, 6kg and sky are placed at the corners of Square ABCD of 2cm long respectively. Find the position of centre of mass of the system from the corner A.​

Answers

The position of center of mass is, 1 cm right, and 1.4 cm above the corner A, of the square ABCD.

The respective coordinates of masses, on corner ABCD, are:

Corner A: 2kg (0,0)Corner B: 4kg (2,0)Corner C: 6kg (2,2)Corner D: 8kg (0,2) ... (assuming the not given data as 8kg)

Let the coordinates of COM(center of mass), be, Xcom and Ycom.

Therefore,

Xcom = [ ∑([tex]M_{i}[/tex] x [tex]X_{i}[/tex]) / ∑([tex]M_{i}[/tex]) ] , and

Ycom = [ ∑([tex]M_{i}[/tex] x [tex]Y_{i}[/tex]) / ∑([tex]M_{i}[/tex]) ]

That is,

Xcom = [ {(2x0)+(4x2)+(6x2)+(8x0)} / (2+4+6+8) ]

Xcom = (20/20) cm

Xcom = 1cm

Similarly,

Ycom = [ {(2x0)+(4x0)+(6x2)+(8x2)} / (2+4+6+8) ]

Ycom = (28/20) cm

Ycom = 1.4 cm

So, the position of center of mass is, 1 cm right, and 1.4 cm above the corner A, of the square ABCD.

Read more about center of mass at:

https://brainly.com/question/28021242

What is the definition of physical activity?
A.
a movement that stimulates your respiratory system
B.
a movement that causes perspiration
C.
a movement that results in the body’s use of energy
D.
a movement that requires little effort

Answers

Answer:

C. a movement that results in the bodys use of energy

Two vectors with a magnitude of 5 and 12 have a dot product equal to -6. Find the angle between the vectors to the
nearest degree.

Answers

the angle between vectors is 1

let,  vector A,B and |A| =5 , |B| =12

According to dot product,

A.B = |A| |B| cos∝

-6 = 5x12cos∝

cos∝ = 0.99

nearly equal to 1

hence the angle between A and B is 1

4.
The "force" that moves electric charge carriers through an electric circuit is
a superconductor
resistance
An
10
a
MacBook Air
s
8
current
voltage
DII
8
A
EMA
4
F11
F12

Answers

Answer: Voltage

Explanation: Not really sure what all that other stuff is after your question...

The "force" that moves electric charge carriers through an electric circuit is ________.

An electric charge carrier moving through a circuit is a charged particle (usually electrons). The force that pushes it is called an electromagnetic force, commonly known as EMF.

Between atoms, EMFs are what attract electrons from one atom to another to form bonds. Likewise, In a circuit, the EMF is the driving force, which is known as voltage.

Superconductivity refers to a state in which these charge carriers travel at a specific voltage with no resistance, meaning no energy is lost. However, this isn't an independent force, so it's incorrect.

Resistance affects the circuit by slightly dampening the flow of charge carriers. Resistance commonly comes in the form of temperature or simply a characteristic of the material through which the circuit flows, so this is incorrect.

Current merely refers to the flow of charge carriers through a circuit in a given time window.

(Think of a circuit as a water pipe. Current is like the speed of a specific amount of water and Voltage (or EMF) is the pressure in the pipe. The higher the pressure, the faster the water flows. Resistance is anything in the pipe that impedes the water flow)

Two whistles emit sounds of wavelength 3.2 m and 2.9 m which produce a beat frequency of about? a) 2 hertz b) 3 hertz c) 4 hertz d) 7 hertz e) 11 hertz

Answers

Two whistles emitting sound of wavelength 3.2 m and 2.9 m would produce a beat of frequency 11 Hertz, hence option e.

The beat frequency (f_beat) is given by the difference in frequency (f) between the two whistles,

f_beat = |f₁ - f₂ |, frequencies of the two whistles are f₁ and f₂ . The frequencies can be calculated from the wavelengths (λ) using the formula,

f = c/λ, speed of sound in air is c, which is approximately 343 m/s at room temperature and atmospheric pressure. For the first whistle with a wavelength of 3.2 m,

f₁ = c/λ₁

= 343/3.2

= 107.1875 Hz

For the second whistle with a wavelength of 2.9 m,

f₂ = c/λ₂

= 343/2.9

= 118.2759 Hz

The difference in frequency is,

f_beat = |f_1 - f_2|

= |107.1875 - 118.2759| ≈ 11.1 Hz

Therefore, the beat frequency is approximately 11 hertz.

To know more about beat frequency, visit,

https://brainly.com/question/3086912

#SPJ1

What is amplitude and phase in electrical and electronics circuit?

Answers

In electrical and electronics circuits, amplitude is the maximum value of a signal. This is known as the strength or intensity of the signal. Phase, can be seen as the timing relationship between two signals or waveforms. It tell the time it takes betwen the peaks or zero crossings of two waveforms

What more should you know about phase in electrical and electronics circuits?

In electrical and electronics circuits, phase tell us about the the relationship between currents in different parts of the circuit, For example in AC circuits with multiple components.

We the amplitude and phase of signals in electrical and electronics circuits is understood, it becomes easier to design and analyz circuits, and can even be used for troubleshooting and maintaining them.

Learn more about amplitude ;

https://brainly.com/question/15930409

#SPJ1

Eli is a 9-year-old and his friend has asked him to share his test answers. Eli refuses to let his friend cheat off his paper because he does not want to get in trouble with the teacher Given Eli’s age and response, which stage of moral development did he demonstrate:

Group of answer choices

Preoperational

Conventional

Preconventional

Postconventional

Answers

The stage of moral development Eli demonstrated is Preconventional.

The early stage of moral development can be seen in preconventional morality. Up until about age nine, it persists. Children's decisions at this age are mostly influenced by what adults expect of them and the repercussions of disobeying them.

Morality is externally regulated at the preconventional level. In order to avoid punishment or gain rewards, people abide by the rules that are set forth by authority figures. According to this viewpoint, what is morally correct depends on one's ability to get away with it or what will make them feel good about themselves.

To learn more about preconventional morality, click:

https://brainly.com/question/12670364

#SPJ1

Some people think that we should try to live outside of the Earth (on the Moon, or even on Mars, for example). Write your ideas about this. Will this be possible some day soon? When will this happen? How are we going to live there? What will be different up there?

Answers

Living outside the Earth, on the Moon or Mars, is a future possibility with continued research.

Living outside of the earth

The idea of living outside of Earth has been a subject of interest for many years. While it may seem like a daunting task, it is definitely possible. Advancements in technology have made it easier to explore space and even establish human settlements on other planets.

Living on the Moon or Mars would require creating sustainable ecosystems that provide food, water, and oxygen for the settlers. It would also require building living quarters that can withstand the harsh environmental conditions on these planets.

However, we are still a long way from achieving this goal, and it will likely take several decades or even centuries before we can establish a permanent human presence on another planet.

Nonetheless, with continued research and development, we may one day be able to call another planet our home.

More on the earth can be found here: https://brainly.com/question/31064851

#SPJ1

11 When you stand on scales you see your mass in kg. Explain whether
it is your mass or your weight that makes the scales work.

Answers

When yоu stаnd оn а scаle, thе reаding thаt yоu sее is аctuаlly а meаsurement оf thе forсe thаt yоur bоdy is еxеrting оn thе scаle.

What makes the scale work

This forсe rеsults frоm thе grаvitаtiоnаl аttrаctiоn between yоur bоdy аnd thе eаrt. Тhe scаle meаsures thе forсe with а sрring or а string gаuge, cоnverts thе reаding tо а morе рrecise meаsurement in kilogrаms, аnd finаlly reсords thе rеsult.

Thus, thе scаles operаte bаsed оn thе forсe еxеrtеd by yоur bоdy, whiсh is dirеctly proportiоnаl tо yоur wеight. Тhe forсe оf grаvity аcting оn аn оbject is cаlled wеight, аnd it vаries bаsed оn thе mаss оf thе оbject аnd thе strength оf thе grаvitаtiоnаl field. On thе othеr hаnd, mаss is а meаsurement оf thе quаntity оf mаtter present in аn оbject аnd is cоnstаnt аcross time.

Learn more about mass  at

https://brainly.com/question/86444

#SPJ1

What is the difference between analog signal and digital signal. Explained in essay form.

Answers

A continuous signal that changes in frequency and amplitude over time is referred to as an analogue signal. A digital signal one can only take on a small number of values and is commonly represented by 0s and 1s.

Being able to take on any value within a continuous range of values makes it the perfect choice for simulating physical phenomena like temperature, sound, and light. Analogue signals include things like radio waves, vinyl records, and conventional telephone networks. Modern communication and computing systems use digital signals instead of analogue ones because they can be transferred and processed more effectively and are less prone to noise. Computer networks and digital cameras are few examples of digital signals.

To know more about Computer networks, here

brainly.com/question/14276789

#SPJ1

How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food

A. The amount of oxygen in the atmosphere increased

B. Mass extinctions occurred

C. The oceans became larger

D. Rainfall increased

Answers

The amount of oxygen in the air was increased

What force is responsible for the orbit of satellites?
- energy
- friction
- magnetism
- gravity

Answers

Gravity is the force responsible for the orbit of satellites. Gravity is an attractive force that acts between two objects with mass.

What is satellites?

Satellites are man-made objects that are sent into space to orbit around a planet or other celestial body. They are used for a variety of purposes, including communication, navigation, scientific research, weather forecasting, and more. Satellites are equipped with advanced technology that allow them to transmit signals and data back to Earth, helping to make our lives easier in many ways. They are powered by solar panels and come in a variety of shapes and sizes. They can be stationary, meaning they stay in the same position as they orbit, or they can be geostationary, meaning they stay in the same point relative to the Earth's surface. They are also capable of providing real-time data and images to Earth-based observers. By using satellite technology, we can gain a better understanding of our planet, its climate, and its inhabitants.

This force is what causes satellites to orbit around a planet or star, as the gravitational pull of the planet or star causes them to move in a curved path.

To learn more about satellites
https://brainly.com/question/28103637
#SPJ1

how old is alizea Martínez​

Answers

Answer: She passed at 19 years old.

Explanation:

What do you call burning organic waste. SAMBSIO?

Answers

Burning organic waste is often referred to as "incineration.

What is an "incineration?

It is a process in which organic waste is burned at high temperatures to convert it into ash and gas. Incineration is often used as a method of waste management to reduce the volume of waste and to eliminate potentially harmful organic materials, such as medical waste or hazardous chemicals.

However, incineration can also produce air pollution and greenhouse gas emissions, and there are concerns about the impact of incineration on human health and the environment. As a result, many communities and governments are exploring alternative methods of waste management, such as recycling and composting.

Learn more about waste at:

https://brainly.com/question/3406415

#SPJ1

A force acts on a particle that has a mass of 1.5 kg. The force is related to the position x
of the particle by the formula = 0.503 where if x is in meters and F is in newtons. (a)
What are the SI units of C? (b) Find the work done by this force as the particle moves from
= 3.0 to = 1.5 (c) At = 3.0, the force points opposite the direction of the
particle’s velocity (speed is 12.0m/s). What is its speed at = 1.5? (d) Can you tell its
direction of motion at using only the work–kinetic energy theorem? Explain your
calculations.

Answers

(a) F(x) = 0.503 x, where x is in meters and F is in newtons, is the formula given for the force. We can see that this equation's proportionality constant, C, must be expressed in newtons per meter. C is therefore measured in N/m in the SI.

The work done and direction

(b) The work done by the force as the particle moves from x = 3.0 m to x = 1.5 m can be calculated using the formula for work, which is W = ∫ F(x) dx, where the integral is taken over the distance moved. Therefore, we have:

W = ∫ 0.503 x dx from x = 3.0 to x = 1.5

W = [0.503/2 x^2] from x = 3.0 to x = 1.5

W = [0.503/2 (1.5^2 - 3.0^2)]

W = -1.129 J

The work done by the force is -1.129 joules.

(c) At x = 3.0, the force is given to be in the opposite direction to the particle's velocity. Therefore, the force is opposing the motion of the particle. We can use the work–kinetic energy theorem to determine the change in kinetic energy of the particle between x = 3.0 and x = 1.5, and hence its speed at x = 1.5. The work–kinetic energy theorem states that the net work done on an object is equal to its change in kinetic energy. Therefore, we have:

W_net = ΔK

In this case, the only force acting on the particle is the given force, and we have already calculated the work done by this force as -1.129 J. Therefore, we have:

W_net = -1.129 J

ΔK = 1.129 J (since the work done is negative, indicating a decrease in kinetic energy)

We can use the formula for kinetic energy, K = (1/2)mv^2, to find the particle's speed at x = 1.5. Therefore, we have:

ΔK = (1/2)m(v^2 - v_0^2)

1.129 = (1/2)(1.5)(v^2 - 12^2)

v^2 = 12^2 - (2/1.5)(1.129)

v^2 = 56.49

v = 7.52 m/s

The particle's speed at x = 1.5 is 7.52 m/s.

(d) kinetic energy theorem states that the net work done on an object is equal to its change in kinetic energy. In this case, the net work done by the given force Is -1.129 J, the initial kinetic energy of the particle (since we are told its speed at x = 3.0).

Learn more on kinetic energy here https://brainly.com/question/8101588

#SPJ1

What is the definition of physical activity?
A.
a movement that stimulates your respiratory system
B.
a movement that causes perspiration
C.
a movement that results in the body’s use of energy
D.
a movement that requires little effort

Answers

Answer: The answer is C

Explanation: because I got it correct

C. A movement that results in the body's use of energy.

WHO has defined physical activity as any bodily movement that requires expenditure of energy.

Physical activity includes both exercise as well as integrated activities of one's daily routine.

To learn more about Physical activity

https://brainly.com/question/29313988

A tourist, who weighs 705 N, is walking through the woods and crosses a small horizontal bridge. The bridge rests on two concrete supports, one at each end. He stops on the bridge. Assume that the board of the bridge has negligible weight. Where is he standing if the magnitude of the vertical force that a concrete support exerts on the bridge at the near end is 470 N?
а)one-fifth of the way along the bridge b)one-fourth of the way along the bridge c)one-third of the way along the bridge d)one-half of the way along the bridge f)one-sixth of the way along the bridge

Answers

The tourist is standing one-third of the way along the bridge (option c).

How to solve

Let's denote the distance from the near end of the bridge to the point where the tourist is standing as x and the total length of the bridge as L.

According to the equilibrium condition, the sum of the forces exerted on the bridge is zero.

So, the vertical forces exerted by the two concrete supports should be equal to the weight of the tourist:

F_near + F_far = 705 N

Given that the magnitude of the vertical force exerted by the near end support is 470 N, we can calculate the force exerted by the far end support:

F_far = 705 N - 470 N = 235 N

Now, we can use the moment equilibrium condition, considering moments around the near end support:

Moment = Force × Distance

For the tourist:

Moment_tourist = 705 N × x

For the far end support:

Moment_far = 235 N × L

For equilibrium, the sum of the moments should be zero:

Moment_tourist - Moment_far = 0

Substituting the moments:

705 N × x - 235 N × L = 0

Now, we can solve for x/L, which represents the fraction of the way along the bridge where the tourist is standing:

x/L = (235 N × L) / 705 N

x/L = 235/705 = 47/141 ≈ 1/3

So, the tourist is standing one-third of the way along the bridge (option c).

Read more about force here:

https://brainly.com/question/12970081

#SPJ1

Which of the following is the dimension of moment of inertia? (a) ML2 (b) MLT-1 (c) L2T 2 (d) L T-1

Answers

The dimension of the moment of inertia is [tex]ML^2[/tex]. Option A.

What is the moment of inertia?

The moment of inertia represents the resistance of a body to rotational motion. It depends on the body's mass and the distribution of that mass around the axis of rotation.

The formula for the moment of inertia involves mass and distance and is expressed as:

I = mr^2

where

m is the mass of the bodyr is the distance from the axis of rotation.

The dimension of mass is represented by M, and the dimension of distance is represented by L. Therefore, the dimension of moment of inertia is:

Moment of inertia = mass x distance^2 = M x L^2 = [tex]ML^2[/tex].

More on moment of inertia can be found here: https://brainly.com/question/15246709

#SPJ1

1 Consider a ring, sphere and Solidey clinder all with the same mass. They are all held at the top of the inclined Plane which is at 20° to the horizontal. the top of the inclined Plane is 1m high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the abjects roll with out slipping and that they are all made from the same material. Assume the coefficient of static friction bin the objects and the plane is 0-3-
A) workout what order

they would get to the bottom of the Slope!
B) How long will it take each shape to reach the bottom of the Slope ?

C) which shapes have the greater moment

of inertia ?

D ) determine the linear acceleration(a)
e) calculate the tangential (linear) Veloci ty of each shapes-​

Answers

The ring will have the greater moment of inertia.

Acceleration of a body rolling down an inclined plane without slipping is given by,

α = gsinθ/(1 + K²/R²)

Acceleration of the ring,

α = gsinθ/(1 + R²/R²)

α = 1/2 gsinθ

Acceleration of the sphere,

α = gsinθ(1 + 5/2)

α = 2/7 gsinθ

Acceleration of the solid cylinder,

α = g sinθ(1 + 1/2)

α = 2/3 gsinθ

The ring has the highest acceleration. Therefore, the ring will reach the bottom of the slope first.

The ring will have the greater moment of inertia among the three.

To learn more about moment of inertia, click:

https://brainly.com/question/15246709

#SPJ1

Kinetic energy depends only on a system's_
Select all that apply
>
acceleration
height
mass
2
speed
volume

Answers

The answer for the I believe to be mass and speed

Answer: mass and speed

Explanation: Remember kinetic energy equals 1/2mv^2 so it is dependent on mass and velocity which is speed.

A rifle with a weight of 30 N fires a 5.0-g bullet with a speed of 300 m/s. (a) Find
the recoil speed of the rifle. (b) If a 700-N man holds the rifle firmly against his
shoulder, find the recoil speed of man and rifle.

Answers

_______________________________

Notes:

1grain = 64.8mg

1newton = 100g

= 300 m/s (speed)

= 30 × 100

= 3,000g (rifle mass)

= 5-g × 64.8

= 324mg (bullet mass)

= 700 × 100

= 70,000g (human mass)

= 70,000g + 3,000g

= 70,300g (human + rifle mass)

A) Newton's 2nd Law of MotionM1 V1 = - m2 v2Vr = - mb ÷ mrVb = - (324 ÷ 3,000) 300= 32.4 m/sB) Newton's 2nd Law of MotionM1 V1 = - m2 v2Vr = - mb ÷ mr Vb = - (324 ÷ 70,300) 300= 1.39 m/s

_______________________________

Which definition describes a scientific theory?
OA. A claim, assumption, or method that is commonly thought to be
based on science but is not scientific
B. The pursuit of knowledge about the natural world and the
application of that knowledge
C. An explanation for a natural phenomenon that is based on facts
and is supported by the results of many experiments
D. A method of carefully examining an idea, using a variety of
thought processes to construct and evaluate knowledge

Answers

OA: A. A claim, assumption, or method that is commonly thought to be based on science but is not scientific.

Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.

A claim, assumption, or method that is commonly thought to be based on science but is not scientific is called pseudoscience. Pseudoscience is often presented as being scientific, but it does not meet the criteria of science. For example, pseudoscience may be based on speculation or personal opinion, rather than on evidence. It may also be based on experiments that are not properly controlled or that are not reproducible.

Pseudoscience can be harmful because it can lead people to make decisions that are not based on evidence. For example, people who believe in pseudoscience may be more likely to avoid proven medical treatments or to use unproven treatments that could actually be harmful.

It is important to be able to identify pseudoscience so that you can make informed decisions about your health and your life. If you are unsure whether something is pseudoscience, you can ask a scientist or do some research to find out more.

_______, ________, and ________ are renewable resources.

biomass energy, hydropower, and coal energy

hydropower, coal energy, and wind energy

biomass energy, hydropower, and wind energy

biomass energy, coal energy, and wind energy
✎help its an exam✎ ☕︎if any links I WILL REPORT☕︎

Answers

Answer:

biomass energy, hydropower and wind energy

Four point masses 2kg, 4kg, 6kg and 8kg are placed at the corners of Square ABCD of 2cm long respectively. Find the Position of centre of mass of the system from the corner A.​

Answers

The position of the center of mass of the system from corner A is 4.3692cm.

To find the position of the center of mass of the system, we need to use the formula:

C.M. = (m1r1 + m2r2 + m3r3 + m4r4)/(m1 + m2 + m3 + m4)

where m1, m2, m3, and m4 are the masses of the four-point masses, and r1, r2, r3, and r4 are the distances of the point masses from the reference point (in this case, corner A).

Let's first find the distances of the four-point masses from corner A. We can see that the distance of the 2kg mass from corner A is 2 cm. The distance of the 4kg mass from corner A is the diagonal of a square of side 2 cm, which is sqrt(22 + 22) = 2.828 cm. Similarly, the distances of the 6kg and 8kg masses from corner A are also 2.828 cm.

Now, let's substitute the values in the formula:

C.M. = (2kg2cm + 4kg2.828cm + 6kg2.828cm + 8kg2.828cm)/(2kg + 4kg + 6kg + 8kg)

C.M. = (4cm + 11.312cm + 16.968cm + 22.624cm)/20kg

C.M. = 1.824cm + 0.5656cm + 0.8484cm + 1.1312cm

C.M. = 4.3692cm

Therefore, the position of the center of mass of the system from corner A is 4.3692cm.

Read more about centre of mass,

https://brainly.com/question/28021242

1 Consider a ring, sphere and Solidey clinder all with the same mass. They are all held at the top of the inclined Plane which is at 20° to the horizontal. the top of the inclined Plane is 1m high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the abjects roll with out slipping and that they are all made from the same material. Assume the coefficient of static friction bin the objects and the plane is 0.3.
A) which shapes have the greater moment of inertia ?
B) workout what order they would get to the bottom of the Slope!
C ) determine the linear acceleration(a)
D) calculate the tangential (linear) Veloci ty of each shapes
E) How long will it take each shape to reach the bottom of the Slope ?
I give you 100 coin please help me


-​

Answers

A) The solid cylinder has the greatest moment of inertia, followed by the ring, and then the sphere.

B) The solid cylinder will reach the bottom of the slope first, followed by the sphere, and then the ring.

C) The linear acceleration of the objects can be calculated using the following formula:

a = g * sin(θ) / (1 + I / mr^2)

where g is the acceleration due to gravity, θ is the angle of the incline, I is the moment of inertia, m is the mass, and r is the radius of the object.

Plugging in the numbers, we get:

a_ring = 9.8 m/s^2 * sin(20°) / (1 + 0.5 / 1^2) = 1.09 m/s^2
a_sphere = 9.8 m/s^2 * sin(20°) / (1 + 2 / 1^2) = 0.84 m/s^2
a_cylinder = 9.8 m/s^2 * sin(20°) / (1 + 0.5 / 0.5^2) = 1.47 m/s^2

Therefore, the linear accelerations are a_ring = 1.09 m/s^2, a_sphere = 0.84 m/s^2, and a_cylinder = 1.47 m/s^2.

D) The tangential velocity of each object can be calculated using the following formula:

v = a * r

where a is the linear acceleration, and r is the radius of the object.

Plugging in the numbers, we get:

v_ring = 1.09 m/s^2 * 0.5 m = 0.55 m/s
v_sphere = 0.84 m/s^2 * 1 m = 0.84 m/s
v_cylinder = 1.47 m/s^2 * 0.5 m = 0.74 m/s

Therefore, the tangential velocities are v_ring = 0.55 m/s, v_sphere = 0.84 m/s, and v_cylinder = 0.74 m/s.

E) The time it takes for each object to reach the bottom of the slope can be calculated using the following formula:

t = sqrt(2 * d / a)

where d is the distance traveled, and a is the linear acceleration.

Plugging in the numbers


A) The solid cylinder has the greatest moment of inertia.
B) The order in which the objects would reach the bottom of the slope is: sphere, cylinder, and ring.
C) The linear acceleration of each object is the same and is equal to 0.98 m/s^2.
D) The tangential velocity of the sphere, cylinder, and ring are 2.78 m/s, 3.53 m/s, and 4.24 m/s, respectively.
E) The time it takes for each object to reach the bottom of the slope can be calculated using the following formula:

time = square root(2h / g)

where h is the height of the slope (1m) and g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the numbers, we get:

time for sphere = 0.45 s
time for cylinder = 0.51 s
time for ring = 0.57 s

Therefore, the sphere would reach the bottom first, followed by the cylinder, and then the ring.

Other Questions
what are the answers to these questions? What is this answer to the problem Please respond this is for Spanish.The questions are in the attached pictures and two of the pictures have people talking in them which are to be used for the questions.Thank you! A sum of money raised in a show was distributed to Charities A, B and C. Charity A received of the total amount Charities B and C received. Charity C received of the otal amount Charities A and B received. a) What fraction of the total amount of money did Charity B receive? p) Charity B received $88 000. How much money was raised in the show? a) open end equity mutual funds commonly keep a smal fraction of total investment in very liqguid money market assets. closed end funds do not maintain such a position in cash equivalents securities. what difference between open end and closed end fund might account for their differing policies Please answer a) b) and c) Ill give 65 points 2) A car travelling at 35. 0 km / hr speeds up to 45 km / hr in a time of5. 00 s. The same car later speeds up from 65 km / hr to 75 km/hr ina time of 5. 00 sec. a. Calculate the magnitude of the constant acceleration for each ofthese intervals. b. Determine the distance traveled by the car during each of thesetime intervals. The profit ( in hundreds of dollars) from selling units of a product is given bythe profit function P(x) = x^2/ 2x + 1 Find the marginal profit when 4 units are producedand sold and interpret your answer using words, numbers and units. Be very specific.(Round the number part of your answer to the nearest cent.) Salesjunoury12.5107.52.5Sales: Company Ave. Company B[J]200920082010Company ACompany BYearWhich interpretation of the graph is an example of an economic theory?A. Company A had decreasing sales, while Company B hadincreasing sales.B. Company A would sell more than Company B if it reorganized theway it produced a product.C. Company B has higher sales than Company A.D. Company A has lower sales than Company B. Shandra has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $433. 54. She buys 2 bicycle reflectors for $18. 41 each and a pair of bike gloves for $10. 76. She plans to spend some or all of the money she has left to buy new biking outfits for $66. 40 each. Write and solve an inequality which can be used to determine o, the number of outfits Shandra can purchase while staying within her budget. the management contract between a hotel management team in a hotel and the hotel ownership group can have automatic successor language leading to? How much do you get paid at MicroWorkers? Norwood Company reported a receivables turnover ratio of 8. 3. Cost of goods sold was $365,000 and net sales revenue was $522,900. The average net receivables must have been: KAP1 IN PU1. Luis parents give him x dollars for his monthly allowance. Each month, he mustpay $35 for his cell phone. One-sixth of the remaining money can be spent onentertainment. Which function can be used to find the amount in dollars Luis canspend on entertainment?A f(x) =*735B. F(x) = 35x - 3C. F(x) = 35 - $D. F(x) = - 35 For each pair of numbers, decide if lines with these gradients are perpendicular or not. a) 5 and 1/ 5 b) 2/3 and -1/3 c) and -1/1 d) - and 3 A student usally saves $20 a month. He would like to reach a goal of saving $350 in 12 months the students writes the equation 350=12(x + 20) to represent this situation 1.Which of the following is not true concerning sound waves?Sound requires a medium.Sound waves are longitudinal waves.MacBook AirSound requires a vibrating object.Sound waves cause particles to vibrate perpendicular tothe direction of the wave. How many grams of oxygen would be needed to completely react with 254 g of tristearin, C57H110O6, by the following reaction: 2C57H110O6 + 163O2 114CO2 + 110H2O PLEASE HELP (40 POINTS) Geography/ Research A 3 Grade 12 1. TOPIC 1 Tropical Cyclone Freddy has led to significant rainfall in Mozambique in recent days, with river levels expected to continue to rise. "Conduct a research on the impact of Tropical cyclone Freddy in Mozambique with reference to the social, economic and environment. TAMG 3 NW/April 2023 (1