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Please help! I got stuck on part \"b)\", and tried everything possible tofind th

ID: 1722986 • Letter: P

Question

Please help! I got stuck on part "b)", and tried everything possible tofind the velocity w/ no luck. Here is the problem: A 0.20 kg ballis dropped from a height of 1.0 m above the floor an d it bouncesback to 0.70m. a) what's the ball's speed just before hitting theground? b) what's the speed of the ball just as it leaves theground? c) how much energy was lost and where did it go? Thanks I got stuck on part "b)", and tried everything possible tofind the velocity w/ no luck. Here is the problem: A 0.20 kg ballis dropped from a height of 1.0 m above the floor an d it bouncesback to 0.70m. a) what's the ball's speed just before hitting theground? b) what's the speed of the ball just as it leaves theground? c) how much energy was lost and where did it go? Thanks

Explanation / Answer

    Mass , m = 0.2 kg     Height of dropping , h1 = 1 m     Rebound height, h2 = 0.7 m (a)     Speed of the ball just before hitting theground, V1 = ( 2 g h1 )                                                                                 = ( 2 * 9.8 * 1 )                                                                                 = 4.43 m/s (b)     Speed of the ball just as it leaves the ground,V2 = ( 2 g h2 )                                                                                 = ( 2 * 9.8 * 0.7 )                                                                                 = 3.70 m/s (c)     Loss of energy = m g ( h1 - h2 )                           = 0.2 * 9.8 * 0.3                           = 0.588 J     The loss of energy was converted into otherforms like heat and sound