How much work is done when you hold a 10 N object 10 m above the ground?100 J1000 JMore information is needed 0 J - no work is done50 J

Break Down the Problem

1. We need to determine how much work is done while holding a 10 N object at a height of 10 m above the ground.

Relevant Concepts

2. The work done $W$ can be calculated using the formula: $W = F \cdot d \cdot \cos(\theta)$ where:
   • $W$ = work done,
   • $F$ = force applied,
   • $d$ = distance moved,
   • $\theta$ = angle between the force and the direction of movement.

Analysis and Detail

3. In this scenario:

   • The force $F = 10 \, \text{N}$,
   • The distance $d = 0 \, \text{m}$ (since you are holding the object and not moving it vertically),
   • The angle $\theta = 0^\circ$ if we were moving, but since the object is not raised or lowered, this does not apply here.

   Since the object is held stationary, no displacement occurs in the direction of the applied force. Therefore, the distance $d$ is 0.

Verify and Summarize

4. Now using the work formula: $W = 10 \, \text{N} \cdot 0 \, \text{m} \cdot \cos(0)$ simplifies to: $W = 10 \, \text{N} \cdot 0 = 0 \, \text{J}$

Final Answer

Thus, the work done when holding the object is 0 J.