Question

Suppose your car was mired deeply in the mud and you wanted to use the method illustrated in Figure 4.37 to pull it out. (a) What force would you have to exert perpendicular to the center of the rope to produce a force of 12,000 N on the car if the angle is $2.00^\circ$? In this part, explicitly show how you follow the steps in the Problem-Solving Strategy for Newton’s laws of motion. (b) Real ropes stretch under such forces. What force would be exerted on the car if the angle increases to $7.00^\circ$ and you still apply the force found in part (a) to its center?

Question Image

**Figure 4.37**A car attached to a tree by a rope, with a force applied in the middle of the rope perpendicular to its length.

Final Answer

- $838 \textrm{ N}$
- $3.44\times 10^{3}\textrm{ N}$

Solution Video