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Zinaida [17]
3 years ago
5

A cart with mass m rolls along a track to the right with a speed vo. It strikes a bumper and rebounds with speed of vo/2. a) Use

the impulse-momentum to write an equation for the
system which is the cart only. b) If the time during which the bumper exerts a force on the cart is t, write an expression for the force F exerted on the cart in terms of the given variables.
Physics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

a. I =  -3mv₀/2 b. F = -3mv₀/2t

Explanation:

a. Use the impulse-momentum to write an equation for the  system which is the cart only.

We know Impulse , I = Δp where Δp = change in momentum.

Now, Δp = m(v - u) where m = mass of cart, u = initial velocity of cart = v₀ and v = rebound velocity of cart = -v₀/2 (negative since it moves in the opposite direction to u)

So, I =  Δp = m(v - u)

Substituting the values of the variables into the equation, we have

I = m(-v₀/2 - v₀) = -3mv₀/2

So, I =  -3mv₀/2

b. If the time during which the bumper exerts a force on the cart is t, write an expression for the force F exerted on the cart in terms of the given variables.

We know impulse I = Ft where F = force exerted on the cart and t = time force acts

Also, I = -3mv₀/2

So, Ft = -3mv₀/2

F = -3mv₀/2t

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7 0
3 years ago
A 72 kg skydiver is descending on a parachute. His speed is still increasing at 1.2 m/s2. What are the magnitude and direction o
frozen [14]

Answer:

86.4 N downward

Explanation:

Force: This can be defined as the product of mass and acceleration of a body.

The S.I unit of Force is Newton(N).

The Expression of force is given as,

F = ma ................ Equation 1

Where F = force of the parachute harness, m = mass of the skydiver, a = acceleration of the skydiver.

Given: m = 72 kg, a = 1.2 m/s²

Substitute into equation 1

F = 72(1.2)

F = 86.4 N down ward.

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8 0
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A coil of wire with 50 turns lies in the plane of the page and has an initial area of 0.140 m2. The coil is now stretched to hav
DENIUS [597]

Answer:

Magnitude of induced emf will be 87.5 volt

Direction of induced emf will be clockwise  

Explanation:

We have given number of turns in the coil N = 50

Initial area A=0.140m^2

Time is given dt = 0.1 sec

Magnetic field B = 1.25 T

From Faraday's law of electromagnetic induction

ne=-N\frac{d\Phi }{dt}=-NA\frac{dB}{dt}

e=-50\times 0.140\times \frac{1.25}{0.1}=-87.5volt

So magnitude of induced emf is 87.5 volt

Direction of induced emf will be clockwise

7 0
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What are some methods that astronomers use to study interstellar dust?
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Answer:

is to observe through the telescope, study stars inside of the nebula and sometime enhance he pcture to see the real color of the nebula. hopes this helps.

6 0
3 years ago
What is the melting point of substance A?
Misha Larkins [42]

Answer:

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To change the temperature of a solid, heat energy must be added. The amount of heat energy that changes

the temperature of 1.0 g of a solid by 1.0°C is called its specific heat (c). Each substance has its own

specific heat. The specific heat of ice is 2.1 Joules/g°C. In other words we must supply 1.0 gram of ice

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The general equation for calculating heat energy to change the temperature of a solid is:

Heat = Mass x Specific Heat (solid) x Temperature Change

Q = m c DT

10 g 10 g 10 g 10 g 10 g 10 g

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If you continue to add heat energy once the temperature of the ice reaches 0°C , the heat absorbed is called

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increasing the potential energy of the molecules of the solid. No temperature change takes place. Each

substance has its own heat of fusion. The heat of fusion for ice is 340 Joules/g. Exactly the same amount

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The general equation for calculating heat energy to change a solid to a liquid is:

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