8. A ball is dropped from a height 2.50 m above the
floor. (a) Find the speed v with which it reaches the
floor. (b) The ball now rebounds. The speed of the
ball is decreased to 30 / 4 due to this collision. How
high will the ball rise?
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the Ball is dropped from
h=2.5m
initial velocity (u)=0
acc due to gravity = - 9.8m/s²
(a)
As per the formula,
v²=u² +2as
v² =0 - 2 ×9.8×2.5
v²= -49
v= 7 m/s
(b)The speed of the
The speed of theball is decreased to 3v / 4 due to this collision.
u '= 3×7/4=5.25m/s
v=0(at the highest point final velocity is always 0)
v² =u² +2ah
0 =u² -2 g h
u²=2 gh
h=5.25×5.25/2×9.8
h=27.56/19.6
h=1.4m
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