After scoring the game winning goal, a hockey player celebrates by dragging the

Question

After scoring the game winning goal, a hockey player celebrates by dragging the 55kg goal around the rink. The player drags the goal from rest to 7.0m/s uniformly over a period of 3.0s. (a) What is the force supplied by the player on the goal? (b) What is the amount of work done by the player on the goal in that 3.0s time? (c) What does impulse measure? (d) What is the impulse delivered to the goal by the player over the entire time t = 3.0s? (e) What is the instantaneous power due to the player at time t = 1.5s?

Explanation / Answer

here,

mass ,m = 55 kg

final speed ,v = 7 m/s

t = 3 s

a)

let the accelration be a

v = u + a * t

7 = 0 + a * 3

a = 2.33 m/s^2

the force applied , F = m*a = 128.3 N

b)

the work done , W = kinetic energy gained

W = 0.5 * m * v^2 - 0 = 0.5 * 55 * 7^2

W = 1347.5 J

c)

the impulse , I = change in momentum

I = m * v = 385 kg.m/s

d)

the impulse delivered to the goal by the player is 385 kg.m/s

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