Choose the correct option for each question. There is only correct response for each question.
If you are pushing a box toward your friend with a force of 20N, and your friend is pushing the box toward you with a force of 30N, what will happen to the box?

Options

A. The box will move toward your friend with a force of 50N
B. The box will move toward you with a force of 10N
C. The box will move toward you friend with a force of 10N
D. The box will move toward you with a force of 50N

Answer

To solve the problem, we need to analyze the forces acting on the box and determine the net force and direction of motion.

### Step-by-Step Solution:

1. **Identify the Forces**:
- You are pushing the box with a force of 20 Newtons (N) towards your friend.
- Your friend is pushing the box with a force of 30 Newtons (N) towards you.

2. **Determine the Direction of Forces**:
- Let's assume you are on the left side of the box and your friend is on the right side.
- The force you apply (20 N) is directed to the right (toward your friend).
- The force your friend applies (30 N) is directed to the left (toward you).

3. **Calculate the Net Force**:
- To find the net force acting on the box, we subtract the smaller force from the larger force.
- Net Force (F_net) = Force by friend - Force by you
- F_net = 30 N (friend) - 20 N (you) = 10 N

4. **Determine the Direction of Motion**:
- Since the net force is positive (10 N) and directed towards your friend, the box will move in that direction.

5. **Conclusion**:
- The box will move towards you (the direction of your friend's force) with a net force of 10 N.

### Final Answer:
The box will move towards you with a force of 10 N.

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