A weight lifter lifts a weight off the ground and holds is up, then

Options

A. work is done in lifting as well as holding the weight.
B. no work is done in both lifting and holding the weight.
C. work is done in lifting the weight but no work is required to done in holding it up.
D. no work is done in lifting the weight but work is required to be done in holding it up.

Explanation

To solve the question about the work done by a weight lifter when lifting and holding a weight, we can break it down into clear steps:

### Step-by-Step Solution:

1. **Understanding Work Done**:
Work is defined as the product of force and the displacement in the direction of that force. Mathematically, it is given by:
\[ W = F \cdot d \cdot \cos(\theta) \]
where \( W \) is work, \( F \) is the force applied, \( d \) is the displacement, and \( \theta \) is the angle between the force and the displacement.

2. **Lifting the Weight**:
When the weight lifter lifts the weight from the ground to a height \( H \), they are applying an upward force equal to the weight of the object (which is the gravitational force acting downward).
- The displacement \( d \) is equal to \( H \) (the height lifted).
- The angle \( \theta \) is 0 degrees since the force and displacement are in the same direction (upward).
- Therefore, the work done in lifting the weight is:
\[ W_{\text{lifting}} = F \cdot H \cdot \cos(0) = F \cdot H \]
where \( F = mg \) (mass times gravitational acceleration).

3. **Holding the Weight**:
Once the weight is lifted to height \( H \), if the weight lifter holds it in that position, the height does not change.
- Since there is no displacement (the weight is not moving), the work done while holding the weight is:
\[ W_{\text{holding}} = F \cdot 0 \cdot \cos(0) = 0 \]
Thus, no work is done in holding the weight because the displacement is zero.

4. **Conclusion**:
From the analysis, we conclude that:
- Work is done while lifting the weight (against gravity).
- No work is done while holding the weight (since there is no displacement).
Therefore, the correct answer is that work is done in lifting the weight but no work is done in holding it up.

### Final Answer:
The correct option is **C**: Work is done in lifting the weight but no work is required to be done in holding it up.