Lets Say I drop A ball.?

Question

Hi Im writing a program but don't worry about the coding in you answer: lets say I drop a ball in a perfect vacuum how would you determine the following (in order of importance too):
The bounce back velocity (and how it looses energy as it travels against the force of gravity)

The energy lost to friction (theres some kinetic energy equation I was pretty sure. thank you!

Answer 1

You need to know the coefficient of restitution of your ball to determine the bounce back velocity. See link below.

There will be no frictional losses as the ball drops. There will be losses due to internal friction, however, as the ball collides with the floor. Rearrangements of atomic bonds and plastic deformation tend to lower the coefficient of restitution and decrease the bounce back velocity.

Let's say your ball has a coefficient of restitution C. As the ball falls, it loses potential energy and gains kinetic energy. Right before contact with the floor, it will have maximum kinetic energy, and minimum potential energy. The velocity right before impact is equal to the square root of (2gH), where H is the height that you dropped the ball from. Your bounce-back velocity will be equal to C*sqrt(2gH). The energy lost to friction will be mgH(1 - C^2).

Answer 2

KE=0.5*M1V2

basically
kinetic energy equals half times mass times velocity squared

though you don't need to worry about that, in a perfect vacum it will keep accelerating so you need to think about

A=delta V/ Delta time

or acceleration is equal to change in velocity divided by time taken for change it gives you the answer in ms2 metres per second per second or what ever measure of speed you use

in a vacuum no energy is lost to friction an object will only reach its terminal velocity (maxium speed when it can no longer go any faster) when the force applied is equal to that of any opposing force, in a vacum with a dropped ball there is no air resistance hence the object will carry on accelreating

though thinking about it, in a vacum there is no oppersite force, so a feather and a hammer would hit the floor at the same time, they did it on the moon so the mass of the ball does not matter

the only thing that determines the terminal velocity of something is its equal and oppersite force to the force applied

Answer 3

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