A 28-kg beginning roller skater is standing in front of a wall. By pushing against the wall, she is propelled backward with a velocity of - 1.2 m/s. While pushing, her hands are in contact with the wall for 0.80 s. Ignoring frictional effects, find the magnitude and direction of the impulse acting on the skater.

Question

Physics

Cruz Alexander

29 February, 08:50

A 28-kg beginning roller skater is standing in front of a wall. By pushing against the wall, she is propelled backward with a velocity of - 1.2 m/s. While pushing, her hands are in contact with the wall for 0.80 s. Ignoring frictional effects, find the magnitude and direction of the impulse acting on the skater.

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Answers (1)

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Jovan Simmons · Answer 1

33.6 Ns backward.

Explanation:

Impulse: This can be defined as the product of force and time. The S. I unit of impulse is Ns.

From Newton's second law of motion,

Impulse = change in momentum

I = mΔv ... Equation 1

Where I = impulse, m = mass of the skater, Δv = change in velocity = final velocity - initial velocity.

Given: m = 28 kg, t = 0.8 s, Δv = - 1.2-0 = - 1.2 m/s (Note: the initial velocity of the skater = 0 m/s)

Substituting into equation 1

I = 28 (-1.2)

I = - 33.6 Ns

Thus the impulse = 33.6 Ns backward.