Whats the bounce height of a ping pong ball falling from a height of 20cm -270cm?

Question

try to include all the input variables and out put variables and terminal velocity, the floor is tiled and indoors

Answer 1

A ping pong ball is relatively low mass for it's volume. It does bounce off hard surfaces as if almost a perfectly elastic collision.

If you know the drag on the ball due to air resistance, you can set up the following equation:

h=height dropped.
h'= the bounce height
s=factor of air resistance
m=mass of the ball
g= gravity

m*g*h=m*g*h'-work done due to air resistance
instantaneous force due to air resistance is:
F(t)= s*v(t)
For the descent
work = integral(s*v(t)*dt)from h to zero

for the bounce
work=integral(s*v(t)*dt) from zero to h'
set up the equations and integrate and you will have your answer.

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