Question

A horizontal rope is tied to a 55.0 kg box on frictionless ice. What is the tension in the rope if:

Part A The box is at rest? Express your answer as an integer and include the appropriate units. Part B The box moves at a steady vx = 5.20 m/s ? Express your answer as an integer and include the appropriate units. Part C The box vx = 5.20 m/s and ax = 4.80 m/s2 ? Express your answer to three significant figures and include the appropriate units.

Answer 1

Part A

There is no pulling force acting on the box

So, the tension T = 0

​​​​​​Part B

Since the motion is uniform and frictionless, there is still no force acting on the box.

So, the tension in the rope, T = 0

Part C

Given, a_x = 4.80 m/s^2

There is a pulling force which causes the acceleration.

Tension in the rope, T

T = m*a

= 55 kg * 4.80 m/s^2

= 264 N