A ball of mass `m` moves with speed `v` and stricks a wall having infinite mass and it returns with same speed then the work done by the ball on the wall is

Options

A. Zero
B. mv J
C. m/v J
D. v/m J

Answer

To solve the problem of the work done by a ball of mass `m` moving with speed `v` when it strikes a wall of infinite mass and returns with the same speed, we can follow these steps:

### Step 1: Understand the scenario
The ball is moving towards a wall and collides with it. The wall is considered to have infinite mass, which means it does not move or change its velocity when the ball strikes it. After the collision, the ball returns with the same speed `v`.

### Step 2: Calculate the initial kinetic energy of the ball
The initial kinetic energy (KE_initial) of the ball before it strikes the wall can be calculated using the formula:
\[ KE_{\text{initial}} = \frac{1}{2} mv^2 \]

### Step 3: Calculate the final kinetic energy of the ball
After the collision, the ball returns with the same speed `v`. Therefore, the final kinetic energy (KE_final) of the ball is:
\[ KE_{\text{final}} = \frac{1}{2} mv^2 \]

### Step 4: Determine the work done by the ball on the wall
The work done (W) by the ball on the wall can be calculated using the change in kinetic energy:
\[ W = KE_{\text{final}} - KE_{\text{initial}} \]
Substituting the values from steps 2 and 3:
\[ W = \frac{1}{2} mv^2 - \frac{1}{2} mv^2 = 0 \]

### Conclusion
The work done by the ball on the wall is zero. Thus, the answer is:
\[ \text{Work done} = 0 \]