A ball of mass 2.5 kg rolls from the top of a hill to the bottom and falls through a height of 5 m. Calculate the ball’s speed at the bottom of the hill. (g = 10 N/kg)
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GPEtop = KEbottom
m = 0.4 kg
g = 10 N/kg
h = 2.5 m
(mgh)top = (
1
2
mv2)bottom
0.4 kg x 10 N/kg x 2.5 m =
1
2
x 0.4kg x v2
10 = 0.2 v2
v2 =
10
0.2
v2 = 50
v =
50
v = 7.1 m/s
The ball returns to the ground with a speed of 7.1 m/s.
m = 0.4 kg
g = 10 N/kg
h = 2.5 m
(mgh)top = (
1
2
mv2)bottom
0.4 kg x 10 N/kg x 2.5 m =
1
2
x 0.4kg x v2
10 = 0.2 v2
v2 =
10
0.2
v2 = 50
v =
50
v = 7.1 m/s
The ball returns to the ground with a speed of 7.1 m/s.
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