A group of particles of total mass 36 kg has a total kinetic energy of 398 J. The kinetic energy relative to the center of mass is 80 J. What is the speed of the center of mass

4.203 m/s

Explanation:

First, we solve for the translational kinetic energy ( ) in the definition of the total kinetic energy . We also have an equation for the definition of (third line). From these two equations we can solve for the speed of the center of mass

1= 26.17

2= 1.17

3=30.86

4=5.86

just took the assigment on edge

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be