a) p₀ = 1.2 kg m / s
b) p_f = 1.2 kg m / s
c) [tex]v_{2f}[/tex] = 1.278 m/s
d)1.2482 =[tex]v_{2f}[/tex] cos θ
e) 0.2736 =[tex]v_{2f}[/tex]sin θ
g) θ = 12.36
What is momentum?
Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.
According to the question,
We define a system formed by the two balls, which are isolated and the forces during the collision are internal.
Hence , the momentum is conserved
a) The momentum of the system before the collision:
[tex]p_o = m v_1_0 + 0 p_o= 0.6 2 p_o = 1.2 kg m / s[/tex]
b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so
[tex]p_f = 1.2 kg m / s[/tex]
d. On X axis
[tex]p_ox[/tex] = 1.2 kg m / s
[tex]p_{fx}[/tex]= m v1f cos 20 + m v2f cos θ
[tex]p_o = p_f[/tex]
1.2 = 0.6 (-0.8) cos 20+ 0.6[tex]v_{2f}[/tex] cos θ
1.2482 =[tex]v_{2f}[/tex] cos θ
e. On Y axis
[tex]p_{oy} = 0[/tex]
[tex]p_{fy}[/tex]= m[tex]v_{1f}[/tex]sin 20 + m[tex]v_{2f}[/tex]cos θ
0 = 0.6 (-0.8) sin 20 + 0.6 [tex]v_{2f}[/tex] sin θ
0.2736 =[tex]v_{2f}[/tex]sin θ
Here,
g. we write our system of equations
0.2736 =[tex]v_{2f}[/tex] sin θ
1.2482 = [tex]v_{2f}[/tex] cos θ
0.219 = tan θ (divide)
θ = tan⁻¹ 0.21919
θ = 12.36
c. Now To find the velocity
0.2736 = [tex]v_{2f}[/tex] sin θ
[tex]v_{2f}[/tex]= 0.2736 / sin 12.36
[tex]v_{2f}[/tex] = 1.278 m / s
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If a star is moving away from you at constant speed, the absorption lines in its spectrum will.
Answer:
The absorption lines will shift to the red (become longer).
This is because of the extra distance that a wavelength λ must travel between the vibrations of the source producing the spectrum.
Note that the Doppler effect of the source is slightly different for light waves than it is for sound waves because sound waves require a medium in which to travel while light waves do not require such a medium (example air).
Which of the following is a disadvantage of using geothermal energy?
A. It is abundant.
B. It can reduce greenhouse emissions.
C. It is renewable.
D. It can cause air and groundwater pollution.
The disadvantage of using geothermal energy is "It can cause air and groundwater pollution." The correct option is D.
What is geothermal energy?Geothermal energy is a type of renewable energy that comes from the heat within the Earth's core.
The Earth's core is extremely hot, and this heat energy can be harnessed and used to generate electricity. Geothermal energy is often found in areas where the Earth's crust is thin or where there are active volcanoes and geysers.
There are two main types of geothermal energy: direct use and electricity generation.
Direct use involves using geothermal heat directly for heating buildings, greenhouses, or industrial processes such as drying crops or pasteurizing milk. Electricity generation involves using geothermal heat to generate electricity, typically by pumping water into underground reservoirs to create steam that drives turbines connected to generators.
Geothermal energy is considered a renewable energy source because the heat within the Earth's core is continually replenished by radioactive decay. Additionally, geothermal energy is a relatively clean energy source, producing fewer greenhouse gas emissions than fossil fuels.
Here in the question,
Although geothermal energy has many advantages, such as being renewable and reducing greenhouse gas emissions, one of the main disadvantages is that it can cause air and groundwater pollution.
This is because geothermal power plants often release gases and fluids from underground reservoirs that can contain pollutants such as hydrogen sulfide, ammonia, and boron. Additionally, the drilling process used to extract geothermal energy can also release pollutants into the air and water. However, with proper management and regulation, these negative impacts can be minimized.
Therefore, Option D is correct i.e It can cause air and groundwater pollution is a disadvantage of using geothermal energy.
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What is the peak value of a sine wave whose VAV value is 15V?
The peak value of a sine wave whose VAV value is 15V is 21. 21
What is a peak value?A peak value is simply known as the highest or maximum value reached in one cycle by an alternating quantity.
The formula for peak value is given as;
peak value = Voltage * √2
Voltage = 15V
Peak value = 15 * √ 2 = 15 * 1. 4142 = 21. 21
Thus, the peak value is 21. 21
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Describe how a star is formed?
____________________________
Answer:
Star Formation
Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.
hy XD ~
which process produces the energy that powers a solar calculater
Nuclear fusion is the process which produces the energy that powers a solar calculator.
What is Nuclear fusion?
This process involves the fusion of hydrogen atoms to form helium with accompanying release of heat energy.
The heat energy is what powers the solar calculator thereby making it the most appropriate choice.
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which cooks food faster, an aluminium pot or a copper one?
Answer:
copper cooks it faster because it heats up quicker
Copper
Copper is a good heat conductor and food would be cooked faster in it.
Hope this helps!!
>Rijja<
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A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.
More stopping force is required when the car has to stop in a shorter distance.
What is the relationship between force and acceleration?Force is directly proportional to acceleration according to Newton's second law of motion.
This means that acceleration increases when force increases.
Stopping of a moving car is negative acceleration.
Therefore, more stopping force is required when the car has to stop in a shorter distance.
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How many groups are in the modern periodic table?
Answer:
18 groups are in the modern periodic table
Answer:
There's 18 groups I'm pretty sure
A cube of metal of side 10cm is fully immersed in a liquid of relative density 0.8.Calculate the upthrust experienced by the body. Take density of water=1000kgm3 and g=10ms-1
The upthrust experienced by the cube of metal is determined as 7.84 N.
Upthrust experienced by the body
The upthrust experienced by the body is calculated as follows;
Fu = ρVg
where;
ρ is density of the bodyV is volume of the bodyg is acceleration due to gravityDensity of the bodyS.G = density of the body / density of water
density of the body = S.G x density of water
ρ = 0.8 x 1000 kg/m³
ρ = 800 kg/m³
Volume of the bodyV = L³
V = (0.1)³
V = 0.001 m³
Upthrust = ρVg
Upthrust = 800 x 0.001 x 9.8
Upthrust = 7.84 N
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what would happened if there is no invented of machine?
if there were no invention of machines then life would have been more difficult and simple works could be hard to do. Even now we are using our phones, sitting in a AC room interacting to eachother from different places. without the invention of machines simple things like transportation would have been difficult. There would be horses and donkey for the transportation. There would be no electricity,no internet, no transportation, not even c computers or mobile etc. The market for business will be smaller, the knowledge and news about world would be less.
so the problem would have been bigger than we can imagine. But one thing is that nature could survive lot more compared to what we have done till now by destroying nature.
A train travels 8.81 m/s in a -51.0° direction. The train accelerated for 2.23 s, changing its velocity to 9.66 m/s in a 37.0° direction. What is (delta)x?
The value of the [tex]\rm \triangle x[/tex] will be 29.14 m. Delta represent the change.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The velocity in the part 1;
V₁ = 8.81
The velocity in the part 2;
V₂ = 9.66 m/sec
The resultant of the two vectors of velocity gives the velocity for the connecting path.
[tex]\rm V = \sqrt{8.81 ^2 + 9.66^2 } \\\\ V= 13.07 \ m/sec[/tex]
The time period for the train accelerates;
[tex]\rm \triangle x = v \times t \\\\ \triangle x = 13.07 \ m/sec \times 2.23 \ sec \\\\ \triangle x = 29.14 \ m[/tex]
Hence the value of the [tex]\rm \triangle x[/tex] will be 29.14 m.
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Answer:
the answer is 14.77 for ∆x
the answer for ∆y is 1.16
A boy threw a ball upward and it took 3 sec to reach the highest point. Determine the initial velocity of the ball.
Answer:
V initial = 29.4 m.s²
Explanation:
( Using the laws of motion)
V final = V initial + Acceleration × time
0 = V initial + ( -9.8)(3)
29.4 = V initial
* I took upward as positive that's why I substituted -9.8 *
* for V final we know that at maximum height the ball is not moving thats why is = 0 *
Which statement is TRUE about forces?
A. Forces do not have a specific direction.
B. Forces do not have specific strength.
C. Forces always act in pairs, a push and a pull.
Answer:
Forces do not have a specific direction.
One point charge has a magnitude 5.4x10-7 C. A second charge 0.25 meters away has a magnitude of 1.1x10-17 C. What is the electric force magnitude of one charge on the other?
The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.
Formula for electrostatic force is F = ( K q1 q2 )/ r²
where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.
In question we have given
value of q1 = 5.4 x 10⁻⁷ C
value of q2 = 1.1 x 10⁻¹⁷ C
distance between the (r) = 0.25 m
Applying the formula
F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²
F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²
F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )
F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )
F = 8.5536 × 10⁻¹³ Newton
Electrostatic force = 8.5536 × 10⁻¹³ Newton
So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.
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What do comets and asteroids have in common?
Answer:
Asteroids and comets have a few things in common. They are both celestial bodies orbiting our Sun, and they both can have unusual orbits, sometimes straying close to Earth or the other planets. They are both “leftovers” — made from materials from the formation of our Solar System 4.5 billion years ago. But there are a few notable differences between these two objects, as well. The biggest difference between comets and asteroids, however, is what they are made of.
While asteroids consist of metals and rocky material, comets are made up of ice, dust, rocky materials and organic compounds. When comets get closer to the Sun, they lose material with each orbit because some of their ice melts and vaporizes. Asteroids typically remain solid, even when near the Sun.
Right now, the majority of asteroids reside in the asteroid belt, a region between the orbits of Mars and Jupiter which may hold millions of space rocks of varying sizes. On the other hand, the majority of comets are in the farthest reaches of our Solar System: either 1. in the Kuiper Belt — a region just outside the orbit of the dwarf planet Pluto that may have millions of icy comets (as well as many icy dwarf planets like Pluto and Eris); or 2. the Oort Cloud, a region where trillions of comets may circle the Sun at huge distances of up to 20 trillion kilometers (13 trillion miles).
Answer:
they are both leftovers materials
Explanation:
think about how the solar system is made the comets and asteroids are both rocks and remains of the solar system
look at picture below !! please <3
Answer:
C
Explanation:
compound is a substance made from two or more different elements that have been chemically joined
Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms. please select the best answer from the choices provided t f
The statement "Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms" is absolutely false.
What is monsoon?Monsoon may be characterized as a seasonal transformation in the direction of the predominant, most potent, currents of a region. It blows from cold to warmer regions of the geographical locations.
Thunderstorms basically originated identically with monsoons more frequently. Monsoon involves sudden and gradual rainfall, extreme wind, and a drop-down in temperature.
The occurrence of monsoon is fixed at different geographical locations, but the occurrence of thunderstorms will not be definite or predominantly known.
Thus, the statement "Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms" is absolutely false.
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Answer:
False
Explanation:
If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.
The energy input would it take to climb a ladder will be 20000 J.
What is the mechanical advantage?Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.
Mechanical advantage is a measure of how much a machine multiplies the input force.
The complete question is;
"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"
The formula for the efficiency is;
[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]
Hence, the energy input would it take to climb a ladder will be 20000 J.
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What is the total amount of charge and energy, respectively, that the capacitor will store if it is connected to the battery on the railcar?.
The total amount of charge and energy will be 1.20 C and 7.20 J respectively
What is a capacitor?A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
Given data;
Voltage,V= 12V
Capicitance,C=100mF = 100 × 10⁻³ F
The total amount of charge is;
Q=CV
Q=100 × 10⁻³ × 12 V
Q=1.20 C
The energy stored by the capacitor;
[tex]\rm U = \frac{1}{2}CV^2 \\\\ \rm U = \frac{1}{2}\times 100 \times 10^{-3} \times (12 \ V)^2 \\\\ U= 7.20 \ J[/tex]
The energy stored by a capacitor will be 7.20 J.
Hence, the total amount of charge and energy will be 1.20 C and 7.20 J respectively
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what is the total current for the parallel circuit?
Answer:
[tex]\huge\boxed{\sf Current = 6\ Ampere}[/tex]
Explanation:
In a parallel circuit, Total resistance is:
[tex]\displaystyle \frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]
Where [tex]R_1[/tex] = 6Ω and [tex]R_2[/tex] = 12Ω
Finding [tex]R_T\\[/tex]:[tex]\displaystyle \frac{1}{R_T} =\frac{1}{6} +\frac{1}{12} \\\\\frac{1}{R_T} =\frac{1 \times 2+1}{12} \\\\\frac{1}{R_T} =\frac{3}{12} \\\\\frac{R_T}{1} = \frac{12}{3} \\\\\boxed{R_T=4 \ Ohm}[/tex]
Finding current:We know that:
V = IR (Ohm's Law)V = 24 V, R = 4 Ω (V given, R found)
24 = I(4)
Divide 4 to both sides
6 A = I
Current = 6 Ampere
[tex]\rule[225]{225}{2}[/tex]
A chain of length L has a mass of m which is uniformly distributed. When it is placed on a smooth horizontal table, 1/4 of its length hangs over the edge of the table (as shown in the figure). Then the chain slides away from the table freely, how much gravitational potential energy has changed from the beginning to the chain just sliding away from the table? (The height of the table from the ground is much greater than L)
Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
What is gravitational potential energy?The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.
Length of hanging part, L/4
The gravitational potential energy is;
Work = Gravitational potential energy
Work done =force×displacement
[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]
Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
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PLEASE HELPP
just do the diagram
Answer:the line away from the spacecraft should be straight down (perpendicular to it). Label this M. This is the force of the moon on the spacecraft. A minuscule line upward from the moon towards the spacecraft shows the force of the spacecraft on the moon. Should be directly below the spacecraft and pointed straight up at it.
Explanation:
The force exerted on the tires of a car that directly accelerate it along a road is exerted by the
The force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.
What is force?Force is defined as the product of mass and acceleration of an object.
Friction is defined as the force that resists the movement of an object over another.
Therefore, the force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.
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why aren't there lunar and solar eclipses every month?
The moon's orbital plane is different from that of the earth's orbit around the sun due to which lunar and solar eclipses do not occur every month.
What is a solar eclipse?When the moon passes in front of Earth and the sun, it creates a solar eclipse and casts a shadow across the globe.
Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.
Due to the moon's orbit being five degrees off-center from Earth's orbit around the Sun, lunar eclipses do not happen every month and the Moon often passes above or below the shadow.
Lunar eclipses would happen every month if there were no tilt. Eclipses of the sun and the moon happen equally often.
Hence lunar and solar eclipses aren't coming every month.
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The reason why lunar and solar eclipses do not occur every month is because; the plane of orbit of the moon around the earth is not same as that of earth around the sun.
Why don't lunar and solar eclipses occur every month?When the Moon passes between Earth and the Sun, there's solar eclipse while when the earth passes between the Sun and the Moon, casting a shadow on the Moon, there's lunar eclipse.
Hence, because the plane of orbit of the moon around the earth is not same as that of earth around the sun, we do not have lunar and solar eclipses every month.
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A results force of 25newtons acts on a mass of 0.50kilogram starting from rest .find acceleretion in m/s2 , the final velocity after 20seconds, the distance moved in m
Answer: See below
Explanation:
a) Using Newton's 2nd Law, rearranging and solving for acceleration
[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]
b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:
[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]
c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:
[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]
If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will
If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.
What is Buoyancy?Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.
All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.
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What is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6 cm^3?
Answer:
1.708 g/cm^3
Explanation:
Density = mass/volume
= 84.7 g / 49.6 cm^3 = 1.708 g/cm^3
Which observations correctly describe the second law of thermodynamics? check all that apply.
thermal energy that is not used to do work is often released to the surroundings.
thermal energy flows from a cooler object to a warmer object.
thermal energy flows from a warmer object to a cooler object.
thermal energy is released as unusable energy by a heat engine, which is never 100 percent efficient.
thermal energy flows when two objects in contact have a temperature difference.
answers: 1,3,4,5
Answer:
I would agree with the answers 1, 3, 4, 5
Obviously energy will not spontaneously flow from a cooler object to a warmer object
Answer:
A. Thermal energy that is not used to do work is often released to the surroundings.
C. Thermal energy flows from a warmer object to a cooler object.
D. Thermal energy is released as unusable energy by a heat engine, which is never 100 percent efficient.
E. Thermal energy flows when two objects in contact have a temperature difference.
Explanation:
Got it right on edge 23
One exciting fairground ride acts like a giant catapult. The capsule which the ‘rider’ is strapped in is fired high into the sky by rubber straps. Explain the energy changes taking place on the ride.
Answer:
- elastic energy of rubber straps → KE of capsule
- KE → GPE as capsule
Explanation:
how can you determine the relative ages of the moon's maria and highlands? (select all that apply.)
The relative ages of the moon's maria and highlands can be determined through the following:
Radioactive datingCrater densityLava flows.What is a Moon maria?This is referred to as the early geologic units of the moon which arose from asteroid impact and subsequent volcanic activity.
The ages can be measured using techniques such as radioactive dating and crater density.
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