You drop a 16-g ball from a height of 1.5 m and it only bounces back to a height

Question

You drop a 16-g ball from a height of 1.5 m and it only bounces back to a height of 0.82 m .

Part A

What was the total impulse on the ball when it hit the floor? (Ignore air resistance.)

Express your answer to two significant figures and include the appropriate units. Enter positive value if the impulse is upward and negative value if the impulse is downward.

You drop a 16-g ball from a height of 1.5 m and it only bounces back to a height of 0.82 m .

Part A

What was the total impulse on the ball when it hit the floor? (Ignore air resistance.)

Express your answer to two significant figures and include the appropriate units. Enter positive value if the impulse is upward and negative value if the impulse is downward.

Explanation / Answer

initial speed just before the impact u = - sqrt(2gh_1) = sqrt(2 * 10 * 1.5) = -5.48 m/s

final speed just after the impact v= sqrt(2gh_2 ) = sqrt (2 * 10 * 0.82) = 4.05 m/s

impulse = change in momentum = final - initial = m(u - v) = 0.016 * (4.05 +5.48) = 0.15248 kg m/s

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