Asolid sphere with a moment of inertia of 2.20 kgm2 is rolling along the ground (without slipping) with an angular velocity of 15.1 rad/s . find (a) its rotational kinetic energy and (b) its translational kinetic energy.

Explanation:

It is given that,

Moment of inertia of a solid sphere,

Angular velocity of the solid sphere,

(a) The rotational kinetic energy of the solid sphere is given by :

(b) The translational kinetic energy of the solid sphere is given by :

Moment of inertia of solid sphere is :

Hence, this is required solution.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.