A small metallic spherical ball is dropped from a height `h`. If it collides with the ground inelastically and rebounds, then

Options

A. The momentum of the ball just after the collision is same as that just before the collision
B. Force on the ball is same (in magnitude) as the force on the ground during the collision
C. Total momentum of ball and Earth system is conserved
D. Total kinetic energy of the ball and the earth remains the same

Explanation

To solve the problem, let's analyze the scenario step by step:

### Step 1: Understanding the Situation
A small metallic spherical ball is dropped from a height \( h \). When it hits the ground, it does so inelastically, meaning it does not retain all of its kinetic energy after the collision.

### Step 2: Analyze Momentum Before and After Collision
Before the collision, the ball has momentum given by:
\[
...