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a .2 kg ball was released from a height of 12 meters. the ball hit the ground and rebounded to a height of 9 meters. (a) what was the vertical velocity of the ball just before it hit the ground? (b) what was the vertical velocity of the ball when it hit the ground? (c) the collision with the ground was inelastic because kinetic energy was lost. how much energy was lost to heat and sound in the collision with the ground?

2007-02-21 10:32:58 · 2 answers · asked by mandy 1 in Science & Mathematics Physics

2 answers

In this solution I will ignore air friction.

a) using conservation of energy
.5*m*v^2=m*g*d
v=sqrt(2*g*d)
d=12
g=9.81

v=15.3 m/s

b) since the collision was inelastic, the vertical velocity was zero during the collision (unless you assume it moved the Earth a smidgen). I assume that the energy was converted into potential energy in the compression of the ball and heat and sound.

c) the energy lost to the collision (again ignoring air friction) was
E=m*g*(12-9)
E=.2*9.81*3
=5.89 J

j

2007-02-22 04:41:06 · answer #1 · answered by odu83 7 · 0 0

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2017-01-03 03:56:02 · answer #2 · answered by ? 3 · 0 0

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