The magnetic field strength willl be 2 T. A force known as the Lorentz force acts on the charge when it is subject to an electric and magnetic field.
What is Lorentz force?Lorentz force is defined as the force acting on point charge when it is moving in an electric and magnetic field.
The given data in the problem is ;
B is the magnetic field strength =? T.
Current, I =?
L is the length of the wire
The magnetic force is found as;
F= BIL
15 N = B × 3 A × 2.5 m
B = 2 T
Hence, the magnetic field strength willl be 2 T.
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NEED ANSWER ASAP!!! Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.
a. Draw the free-body diagram for the glass when it is at the top of the circle.
b. What is the equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r?
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?
d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?
a. The free-body diagram for the glass when it is at the top of the circle is attached below.
b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N - mg x Vtop² /R =0
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.
d. The string will break if the tension on it is more than 100 N. The range of speeds can prevent the string from breaking is 3.83< Vtop<4.99 m/s
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.
a. The free body diagram of the bucket and glass is attached below.
b. Bucket will undergo centrifugal force
Fb = mVtop² /R
From the equilibrium of forces, we have
For bucket,
T +mb xg - N = mb x Vtop² /R..............(1)
For glass,
mg x g + N = mg x Vtop² /R..............(2)
Thus, this is the net force equation on the glass.
c. On adding both the equations. we have
T + (mb + mg) xg = (mb + mg) Vtop² /R
Substituting the values, T = 0 and from the question, we get
0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 3.83 m/s
Thus, the speed of spin to prevent glass from falling out is 3.83 m/s
d. The string will break if the tension on it is more than 100 N
100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 4.99 m/s
Thus, the range of velocity is 3.83< Vtop<4.99 m/s
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The actual mass of a sheet of copy paper is 4.5 g. What must be the actual mass of a 1 cm² plece of copy paper?
Show your calculations.
The mass of 1 cm² piece of copy paper is 0.0072 g.
What is the area of a piece of paper?Assuming the dimensions of a piece of paper is 21.0 x 29.7 cm
The area of the piece of paper = 21.0 * 29.7 = 623.7 cm²
Mass of 623.7 cm² = 4.5 g
Mass of 1 cm² piece of copy paper = 4.5/623.7 cm² = 0.0072 g
Therefore, the mass of 1 cm² piece of copy paper is 0.0072 g.
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this stationary wave is what we call the first harmonic of the first normal mode of the system. in units of l, the length of the wire, what is λ1, the wavelength of the first harmonic?
The wavelength of the first harmonic of the standing wave is 2L.
What is a standing wave?A standing wave is one in which the obvious points remain fixed as the vibration continues. A standing wave occurs in a wind instrument such as a trumpet, saxophone etc.
We know from the formula of the first harmonic that the wavelength of the first harmonic of the standing wave is 2L.
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A woman takes her dog rover for a walk on a leash. She pulls on the leash with a force of 30.0 N at an angle of 29° above the horizontal sidewalk. What force is tending to lift Rover vertically off the ground?
Please help I'm stuck.
19.8 N force is tending to lift Rover vertically off the ground.
What is horizontal and vertical component?The horizontal velocity component ([tex]v_{x}[/tex]) describes the influence of the velocity in displacing the projectile horizontally. The vertical velocity component ([tex]v_{y}[/tex]) describes the influence of the velocity in displacing the projectile vertically.
According to the question,
The women pulls the dog with a force of 30 N at an angle of 29° from the horizontal.
Horizontal component= 30cos(29°) = 22.2 N
Vertical component = 30sin(29°) = 19.8 N
Therefore,
The horizontal component would tend to make the dog move forward and the vertical component would tend lift it off the ground.
Hence,
19.8 N force is tending to lift Rover vertically off the ground.
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A car accelerates from a standstill to 60 km/hr in 10.0 seconds. What is its acceleration?
The acceleration of the car is 1.66 m per sec square.
How to calculate acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.
Initial velocity=0
Final velocity= 60km/hr
To convert it into m/sec
1 km=1000 m
1 hr=3600 sec
So= (60×1000)÷3600=16.66 m/sec
time=10 sec
We know that acceleration is the rate of change of velocity per unit of time.
acceleration=(final velocity-initial velocity)÷ time taken
= (16.66-0)÷10
= 1.66 m per sec square
So, Acceleration will be, 1.66 m per sec square
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Henry shot a down tennis ball and a cricket ball of the same size to window glass. Which one will have more impact? Justify.
Answer: The cricket ball bc of the material
Explanation:
A passenger is running inside a stationary train with some speed and looks at the person standing on the platform. Describe the motion of the person standing on the platform with respect to the running passenger.
Answer:
Doppler effect
Explanation:
this means that at one point when the person running is close to the observer it will appear to run fast but slower as he moves away from the observer
A passenger is running inside a stationary train at some speed and looks at the person standing on the platform, then the person standing on the platform seems to be moving backward relative to the person running inside the stationary train because of the concept of relative velocity.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
A passenger is going inside a stationary train at a certain pace when they look at the person standing on the platform, and because of the idea of relative velocity,
The person on the platform appears to be moving backward in relation to the passenger moving inside the stationary train.
By observing from the side of the person standing on the platform the person running inside the stationary train would appear to move in the forward direction because of the relative velocity.
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In which of the three states of matter do the particles transfer significant amounts of energy by both conduction and convection?
In the gaseous state, particles transfer significant amounts of energy by both conduction and convection.
What is convection?The term convection refers to a pattern of heat transfer in which there is the movement of a significant amount of matter. In convection, the particles of a fluid are moved from one point to another.
Thus, in the gaseous state, particles transfer significant amounts of energy by both conduction and convection.
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what is periscope ? where it is used?
Explanation:
The periscope is used in the submarines to see what is going on the water surface.
It is also used in some gun turrets and it is used in armed vehicles.
✨Hope it helps.✨
Pls help me i have to submit this due tomorrow :'D
[tex]\textsf {a) As there is no change in the initial and final positions, the displacement is}\\\textsf {equal to 0.}[/tex]
b) Finding total distance :
Distance travelled from 0 s to 5 s :
1/2 x 5 x 30 = 75 mDistance travelled from 5 s to 10 s :
5 x 30 = 150 mDistance travelled from 10 s to 15 s :
150 + 1/2 x 5 x 5150 + 12.5 = 162.5 mDistance travelled from 15 s to 20 s :
36 x 5 + 1/2 x 5 x 4180 + 10 = 190 mDistance travelled from 20 s to 25 s :
45 x 5 + 1/2 x 5 x 5225 + 12.5 = 237.5 mDistance travelled from 25 s to 30 s :
40 x 5 + 1/2 x 10 x 5200 + 25 = 225 mDistance travelled from 30 s to 35 s :
20 x 5 + 1/2 x 20 x 5100 + 50 = 150 mDistance travelled from 35 s to 40 s :
1/2 x 20 x 550 mTotal = 75 + 150 + 162.5 + 190 + 237.5 + 225 + 150 + 50
Total = 1240 m
c) velocity at t = 15 s
36/1512/52.4 m/sd) average velocity
0 m/s (as displacement is equal to 0)e) average speed
1240/4031 m/sf) Part d uses displacement whereas part e uses distance
Science question! helppppp
Let's take this problem step-by-step:
What does this problem want to solve:
⇒ find two pendulums that will swing back and forth in the least amount
of time
Therefore:
⇒ must find the equation that calculates that period or swing time of a
pendulum
Equation: [tex]T = 2\pi \sqrt{\frac{L}{g} }[/tex]
L: length of the pendulumg: gravitational accelerationBased on the equation:
⇒ the longer the string is ⇒ the greater the swing time
Thus:
⇒ pendulum Y and Z will have the least amount of swing time
Answer: (B)
Hope that helps!
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What does that mean about the densities of the phases of water?
The solid state is the most dense, followed by the liquid state, then the gas state.
The solid state is more dense than the liquid state.
The liquid state is more dense than the solid state.
The gas state is the most dense, followed by the liquid state, then the solid state
The correct option is 2. The solid state is more dense than the liquid state.
The solid form of most substances is denser than the liquid phase so a block of most solids will sink in the liquid but a block of ice floats in liquid water because ice is less dense. Upon freezing the density of water decreases by about 9%. This is due to cooling of intermolecular vibrations allowing the molecules to form steady hydrogen bonds and locking into positions of hexagonal packing upon freezing to ice. These bonds are shorter in the crystal than in the liquid.
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Who is responsible of refraction light 1/3 in eye
The cornea is responsible of refraction light 1/3 in eye.
What is the function of the cornea?In addition to the protective function, it plays a fundamental role in the formation of vision. Transparent, it works like a lens over the iris, focusing light from the pupil towards the retina.
Normally, the cornea and lens deflect (refract) incoming light rays, focusing them on the retina. The shape of the cornea is fixed, but the lens changes shape to focus on objects at different distances from the eye.
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You should switch your headlights from high beam to low beam when a vehicle approaching from the opposite direction gets no closer than____ feet away from you.
You should switch your headlights from high beam to low beam when a vehicle approaching from the opposite direction gets no closer than 492.126 feet away from you.
What is a low beam?Low beams, often known as dipped beams have a close-range focus. The most crucial and commonly utilized beam in an automobile is the low beam.
When a car coming from the other direction is no closer than 492.126 feet away from you, you should lower your headlights from high to low beam.
Hence, a vehicle approaching from the opposite direction gets no closer than 492.126 feet away from you.
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a cyclist applies a constant forward force of 20 N to maintain a velocity 2.5 m/s. how much power does the cyclist deliver?
The power exerted by the cyclist is determined as 50 W.
Average power exerted by the cyclist
The power exerted by the cyclist is calculated as follows;
P = FV
where;
F is the applied forceV is velocityP = 20 x 2.5
P = 50 W
Thus, the power exerted by the cyclist is determined as 50 W.
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4. T or F X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves.
5. What happens to the amplitude of water waves as you get farther from the disturbance that caused them? Why?
4. The X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves is a False.
5. The amplitude of water waves as you get farther from the disturbance that caused them decreases.
What is electromagnetic spectrum?The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves, visible light waves, ultraviolet rays and microwaves.
They possess high energy even to penetrate deep within the material. The electromagnetic spectrum has longer wavelength and less frequency.
4. The Earth's environment is thick an adequate number of that for all intents and purposes no X-beams can come through from space the entire way to the Earth's surface. This is great as far as we're concerned yet in addition terrible for stargazing. We need to put X-beam telescopes and identifiers on satellites.
Thus, X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of wave is a False statement.
5. The amplitude of the wave decreases as the time period increases. But when we get far from the disturbance, the amplitude increases.
Thus, the amplitude of water wave increases as we get farther from the disturbance.
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a A load of 1000 N can be lifted by applying
the force) effort of 250 N.If the load
arm is 25 cm, calculate the effort arm.
Answer:
Explanation:
[tex]\text{Since the fulcrum lies in between the load and effort, it is class I lever.}[/tex]
[tex]\text{Mechanical advantage (M.A.) of levers is given by,}[/tex]
[tex]\text{M.A.=effort armload arm=50cm,10cm}[/tex]
[tex]\text{Thus, mechanical advantage , M.A. = 5.}[/tex]
[tex]\text{Given, effort (E)=10N, Load(L)=?}[/tex]
∴ [tex]L=E \times M.A.[/tex]
[tex]=10\times5=50N[/tex]
Answer:
[tex]\fbox {100 cm}[/tex]
Explanation:
Finding Mechanical Advantage :
MA = Load / Effort
MA = 1000/250
MA = 4
Finding length of effort arm :
Load arm = Effort arm / 4
Effort arm = 25 cm x 4
Effort arm = 100 cm
What type of facility has a frequency of 108.15 MHz?
ILS is a type of facility that has a frequency of 108.15 Megahertz.
What is an ILS?ILS is an acronym for instrument landing system and it can be defined as a precision radio navigation system that is designed and developed to provide an aircraft (airplane) with short-range guidance, so as to enable it approach a runway during bad weather or at night.
Generally, ILS uses two main directional radio signals and these include:
The localizer: it uses a frequency of 108 to 112 MHz for horizontal guidance.The glideslope: it uses a frequency of 329.15 to 335 MHz for vertical guidance.Read more on instrument landing system here: https://brainly.com/question/19091395
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Find the maximum energy stored in the spring bumpers
The maximum energy stored in the spring bumpers is given as ¹/₂kx².
Maximum energy stored in a springThe maximum energy stored in a spring is given by the following equations;
E = ¹/₂kx²
where;
E is the energy stored in the springk is spring constantx is extension of the springThus, the maximum energy stored in the spring bumpers is given as ¹/₂kx².
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The ball is in contact with the bat for 0.001s use the equation in the box to caluclate the force exerted by the bat on the ball
Answer:
Force = 9600N
Explanation:
If this is the right question, there should have been a question before about the what the change in the momentum of the ball was. The answer to that was 9.6kg m/s. For this part, we divide this by the time taken which was 0.001s which give us the resultant force.
resultant force = change in momentum ÷ time
= 9.6kgm/s ÷ 0.001s
= 9600N
Newton's second law of motion states that Choose one: A. the force of gravity is proportional to the masses of the two objects and the inverse of the square of the distance. B. the acceleration of an object is proportional to the net force acting on it. C. objects have inertia. D. every action has an equal and opposite reaction.
Answer:
B
Explanation:
ons: READ each question below and ANSWER each part of the question.
Questions:
1. Ms. Woodard walks 1 m between each desk in her classroom. She walks
from desk 1 to desk 3, from desk 3 to desk 4, and finally from desk 4 back to
desk 2.
a. DRAW Ms. Woodard's path to all the desks here:
a.
a.
What DISTANCE has Ms. Woodard traveled? CONVERT (change) your answer to
millimeters.
What is Ms. Woodard's DISPLACEMENT?
Ms. Woodard has traveled a distance of 5 m.
Ms. Woodard's displacement is 1 m.
Why is it important to have a closed circuit?
A. It prevents a circuit from working.
B. It prevents components from overheating.
C. It increases the resistance in the circuit.
D. It allows an electric current in the circuit.
D. It allows the flow of an electric current in the circuit.
Why is it important to have a closed circuit?Closed circuit allows the flow of current in the circuit from the battery to the bulb. If the circuit is open then the current will not reach to the bulb or other appliances.
So we can conclude that It is important to have a closed circuit because it allows the flow of an electric current in the circuit.
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Calculate the mass of an object whose weight is 400n and accleration due to gravity is 10 m/ s
Answer:
40kg
Explanation:
w=m×
w=400n
g=10
m=?
400/10=m×10/10
m=40
Which statement about polymers is true?
Options below:
-Polymers are substances that have relatively large molecules.
-Oil and gas are the starting materials for making all polymers.
-Fabrics such as cotton and silk are synthetic polymers.
-All polymers are obtained from living organisms.
Answer:
a
Explanation:
Polymers are large molecules which form long chains
Answer: A. Polymers are substances that have relatively large molecules.
Explanation:
Select the correct answer.
Which statement about polymers is true?
A. Polymers are substances that have relatively large molecules.
B. Oil and gas are the starting materials for making all polymers.
C. Fabrics such as cotton and silk are synthetic polymers.
D. All polymers are obtained from living organisms.
This state that the work done on a body by a net force is equal to the change is kinetic energy of the body
Answer:
that's true The work-energy theorem states that
What is the change of state when magma crystallises to form igneous rock?
Answer:
liquid
Explanation:
due to high temperatures in the magma chamber all solids liquidify on reaching the surface with colder temperatures it now solidify to form igneous rock
You are trying to measure the mass of several different objects when you realize that there is a large wad of gum stuck to the underside of the balance pan. Removing the gum will improve the __________ of your measurements.
Answer:
accuracy
Explanation:
You are trying to measure the mass of several different objects when you realize that there is a large wad of gum stuck to the underside of the balance pan. Removing the gum will improve the accuracy of your measurements.
2. A kg of iron and a kilo of lead, both at 1000 degrees Celsius, are kept on ice. It is discovered after some time that the iron has melted more ice than the lead. Why? 2 A vonal containing un or in kont in on oron The tomis motor an hoot
The specific heat capacity of iron is greater than that of lead hence the iron will melt the ice more than the lead.
What is the specific heat capacity?
The specific heat capacity refers to the amount of heat that is required to raise the temperature of 1Kg of a body by 1 K.
We know that the specific heat capacity of iron is greater than that of lead hence the iron will melt the ice more than the lead.
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Against the park ranger's advice, a visitor at a national park throws a stone horizontally off the edge of a 83 m high cliff and it lands a distance of 93 m from the edge of the cliff, narrowly missing a visitor below.
What was the initial horizontal velocity of the rock, in m/s? You can round your answer to the hundredths place and use g ≈ 10 m/s2.
Answer:
20.37m/s
Explanation:
For this problem, we'll need a basic kinematic equation for both directions
Vertical direction:
[tex]y(t)=\frac{1}{2}a_{y}t^{2}+v_{o_y}t+y_{o}[/tex]
Knowing that the acceleration in the y-direction is due to gravity, and is constant near the surface of the Earth, where the rock is being thrown, we get [tex]a_{y}=g=-10m/s^{2}[/tex]. We're also given that the initial vertical height is 83m, so [tex]y_o=83m[/tex]. Additionally, we're given that the stone is thrown horizontally, and thus initially, it has no vertical velocity. Only velocity in the x-direction. Thus, [tex]v_{o_y}=0m/s[/tex]. Substituting known values into our equation:
[tex]y(t)=\frac{1}{2}(-10)t^{2}+(0)t+(83)[/tex]
[tex]y(t)=-5t^{2}+83[/tex]
This equation is true for all times until the acceleration changes (isn't constant... i.e. when it hits the ground).
What now?
We want to find the specific time when it does hit the ground. Why? Because this is the point in time where we know some extra information about what is happening in the x direction, and that will help us deal with the x-direction equation.
When the stone does hit the ground, the output of this function (measuring the height of the stone) is zero, which leaves only one unknown value, t... the time associated with that y: the time that it takes to hit the ground:
[tex]0=-5(t_{ground})^{2}+83\\-83=-5(t_{ground})^{2}\\\frac{-83}{-5}=(t_{ground})^{2}\\16.6=(t_{ground})^{2}\\\sqrt{16.6}=\sqrt{(t_{ground})^2}\\4.074309757seconds=t_{ground}[/tex]
Again, this is the time that the stone hits the ground. Knowing how special this time is, one might give it a special subscript to keep track of it.
[tex]t_{ground}=4.074309757seconds[/tex]
Horizontal direction
Reusing the basic kinematic equation for the horizontal direction:
[tex]x(t)=\frac{1}{2}a_{x}t^{2}+v_{o_x}t+x_{o}[/tex]
Note that in the horizontal direction, there is no acceleration (after the rock is released), so [tex]a_{x}=0[/tex]. Also, if we define the base of the cliff as our origin, then at the top of the cliff where the rock is released, the initial x-position is still zero, aka, [tex]x_{o}=0[/tex]
[tex]x(t)=\frac{1}{2}(0)t^{2}+v_{o_x}t+(0)\\x(t)=v_{o_x}t[/tex]
While we don't know the initial horizontal velocity, we do know an output of the function for one specific input... we know that when the stone hits the ground, that the stone's horizontal distance is 93m from the cliff. So, if we input [tex]t_{ground}[/tex] into this function, it will give an output of 93. The only remaining unknown is the initial velocity in the x direction. One equation, one unknown, we can solve this:
[tex]x(t_{ground})=v_{o_x}t_{ground}\\83=v_{o_x}(4.074309757)\\\frac{83}{4.074309757} =v_{o_x}\\20.37154879m/s =v_{o_x}\\[/tex]
If there were a component of initial velocity in the y direction, we would need to use the Pythagorean theorem to combine them. However, as the initial y component of velocity is zero, the initial velocity is simply the initial x velocity.
Paying attention to directions, round to the answer to the nearest hundredth:
[tex]20.37m/s =v_{o}\\[/tex]
