An engineer is trying to determine the height from which she needs to release a 52kg wrecking ball
such that the wrecking ball will be traveling 12.3m/s when it strikes the building at the position
shown. Neglect drag.

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batolisis batolisis · Answer 1 · 2022-03-30T14:47:48+02:00

The height from which the engineer needs to release the ball is : 11.811 m

Given data:

Mass of wrecking ball = 52 kg

velocity of wrecking ball ( Vf ) = 12.3 m/s

Initial velocity of ball ( Vi ) = 0 m/s

final height ( hf ) = 4.1 m

Applying the principle of energy conservation

Initial energy = final energy

= 1/2 mV²i + mghi = 1/2 mV²f + mghf ----- ( 1 )

given that Vi = 0 also cancelling out m from both sides

Equation ( 1 ) becomes

= 0 + hi = V²f / 2g + hf

therefore : hi = ( 12.3 )² / 2 * 9.81 + 4.1

= 151.29 / 19.62 + 4.1

= 11.811 m

Hence we can conclude that The height from which the engineer needs to release the ball is : 11.811 m

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