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Murrr4er [49]
4 years ago
14

A 13kg box slides 4.0m down the frictionless ramp shown in the figure , then collides with a spring whose spring constant is 170

N/m.
What is the maximum compression of the spring?
At what compression of the spring does the box have its maximum speed?

Physics
1 answer:
Svetradugi [14.3K]4 years ago
7 0
The force on the box is:
F = mgsin∅
If we multiply by this with the distance it traveled, we will know the work done by the box. 
W = dmgsin∅

This work will be converted to elastic potential energy in the spring which is:
1/2 kx². Equating these and substituting values:
1/2 * 170 * x² = 4 * 13 * 9.81 * sin(30)
x = 1.73 m

The box's maximum speed will at the point right before contact with the spring, when the compression is 0.
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an electric device is plugged into a 110v wall socket. if the device consumes 500 w of power, what is the resistance of the devi
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P=V.i

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The resistance of the system is:

P=\frac{V^{2}}{R}

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4 0
3 years ago
A constant horizontal F force began to act on the initially immovable body placed on a horizontal surface. After t time the forc
mel-nik [20]

Answer:

The coefficient of friction is (F/(19.6·m)

Explanation:

The given parameters are;

The force applied to the immovable body = F

The time duration the force acts = t

The time the body spends in motion = 3·t

The acceleration due to gravity, g = 9.8 m/s²

From Newton's second law of motion, we have;

The impulse of the force = F × t = m × Δv₁

Where;

Δv₁ = v₁ - 0 = v₁

The impulse applied by the force of friction, F_f is F_f × (3·t - t) =  F_f × (2·t)

Given that the motion of the object is stopped by the frictional force, we have;

The impulse due to the frictional force = Momentum change = m × Δv₂ = F_f × (2·t)

Where;

Δv₂ = v₂ - 0 = v₂

Given that the velocity, v₂, at the start of the deceleration = The velocity at the point the force ceased to  act, v₁, we have;

m × Δv₂ = F_f × (2·t) = m × Δv₁ = F × t

∴ F_f × (2·t) = F × t

F_f = F × t/(2·t) = F/2

The coefficient of dynamic friction, \mu _k = Frictional force/(The weight of the body) = (F/2)/(9.8 × m)

\mu _k = (F/(19.6·m)

The coefficient of friction, \mu _k = (F/(19.6·m)

5 0
3 years ago
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Answer:

3 kg

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m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

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m = 3 kg

8 0
4 years ago
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