Question

You are using a rope to pull a box across a hardwood floor at constant speed....

You are using a rope to pull a box across a hardwood floor at constant speed.

a) Is the box in mechanical equilibrium? Explain.

b) Is the box accelerating? How do you know?

c) The mass of the box is 14 kg. The normal force exerted on the box by the ground is 120 N, and the friction force between the box and the floor is 20 N. What is the tension in the rope?

d) Sketch a force diagram for the box with all the forces labeled. Be careful about the relative sizes and directions of the force vectors in your diagram.

Homework Answers

Answer #1

(a) Yes, the box is in mechanical equilibrium. In classical mechanics a body is said to be in mechanical equilibrium if the net force acting on it is zero. Since the body is moving with constant speed, the net force acting on it is 0, therefore it is in mechanical equilibrium.

(b) No, the box is not accelerating. Acceleration is chang in velocity per unit time. Since the box is being pulled at a constant speed, there is no change in velocity, therefore it is not accelerating.

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