Alarge wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass of 120 kg. the turntable is initially rotating at 3.00 rad> s about a vertical axis through its center. suddenly, a 70.0-kg parachutist makes a soft landing on the turntable at a point near the outer edge. (a) find the angular speed of the turntable after the parachutist lands. (assume that you can treat the parachutist as a particle.) (b) compute the kinetic energy of the system before and after the parachutist lands. why are these kinetic energies not equal

a)1.385  rad/s

b) Before: 1080 J. After 498.46 J

Explanation:

The moments of inertia of the turn table, with the shape of uniform disk is:

The angular momentum of the turn table before the impact is

The moments of inertia of the system after the impact is (treating the parachute man is a point particle)

According to angular momentum conservation law:

(b) Before the impact:

After the impct

The kinetic energies are not equal because the impact is causing the turn table to lose energy.

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

grav force prop 1/r squared 2r all squared is 4rsquared 1/4rsquared quartered