Monday

April 21, 2014

April 21, 2014

Posted by **Kyle** on Monday, November 3, 2008 at 9:32am.

Do you use the equation for total mechanical energy and if so how do you get the mass and radius?

- Physics -
**Count Iblis**, Monday, November 3, 2008 at 10:20amWhat happens is that in the answer the mass and the radius drops out.

The total kinetic energy is:

Ekin = 1/2 m v^2 + 1/2 I omega^2

If the ball rolls without slipping, then:

omega = v/R

The moment of intertial of the ball is:

I = 2/5 m R^2

So, the kinetic energy is:

Ekin = 1/2 m v^2 + 1/5 m v^2 =

7/10 m v^2

The potential energy is mgh, so the total energy of the ball is at height h and velocity v is

E(h,v) = m g h + 7/10 m v^2 =

m [g h + 7/10 v^2]

The total energy is conserved, so you can find the velocity at the top by solving:

E(h=0.76 meter, v ) = E(0, v = 5.40 m/)

The unknown mass m drops out.

**Related Questions**

Physics - A bowling ball encounters a 0.76m vertical rise on the way back to ...

Physics - Equate the increase in potential energy at the higher elevation, M g H...

physics - A bowling ball encounters a 0.76m vertical rise on the way back to ...

Physics please check - A bowling ball encounters a 0.76 m vertical rise on the ...

Physics - You decide to make a simple pendulum by attaching a bowling ball to a ...

physics - After you pick up a spare, your bowling ball rolls without slipping ...

Physics - After you pick up a spare, your bowling ball rolls without slipping ...

Physics for engineers - A bowling ball weighing 71.3 is attached to the ceiling ...

physics - In order to convert a tough split in bowling, it is necessary to ...

physics - A bowling ball weighing 71.8 N is attached to the ceiling by a rope of...