Question

Three boxes, labelled 1-3 from right to left, are being pulled by a force of 15.0 N, as shown in the image. What is the tension between boxes 1 and 2?

a. 2.25 N
b. 7.50 N
c. 12.5 N
d. 15.0 N

Answer 1

The tension between boxes 1 and 2 is 12.5 N (c).

Step-by-step explanation:

In this scenario, the tension between boxes 1 and 2 can be determined by considering the forces acting on box 1. Since the system is in equilibrium (not accelerating), the net force on each box is zero. Therefore, the tension between boxes 1 and 2 is equal to the force applied to box 1.

To calculate this tension, we sum up the forces acting on box 1. The applied force is 15.0 N to the right, and the tension between boxes 1 and 2 opposes this force, acting to the left. In a balanced system, these forces cancel each other out. Therefore, the tension between boxes 1 and 2 is 15.0 N.

In conclusion, the correct answer is 15.0 N. It's important to note that the tension is transmitted through the rope connecting the boxes, resulting in equal magnitudes of tension between adjacent boxes in a system at equilibrium. This concept is based on Newton's third law and the principle of equilibrium. The tension between boxes 1 and 2 is, therefore, 15.0 N, matching the force applied to box 1.