Question

John and Haven move a large bookcase from the bedroom to the living room. The bookcase has a mass of 45 kg. They apply a force of 300 N to move the bookcase 8 m. It takes them 20 seconds to move the bookcase.

a. How much work do they do to move the bookcase?

b. What is their power?

Answer 1

The work done by John and Haven to move the bookcase is 2400 Joules, and their power output during this task is 120 Watts.

Step-by-step explanation:

To determine the work done to move the bookcase, we use the formula W = F × d, where W is the work, F is the force applied, and d is the distance over which the force is applied. In this case, John and Haven apply a force of 300 N to move the bookcase 8 m, so the work done is:

W = 300 N × 8 m = 2400 J (Joules).

To calculate their power, we use the formula P = W / t, where P is the power, W is the work done, and t is the time taken. They took 20 seconds to move the bookcase, so their power is:

P = 2400 J / 20 s = 120 W (Watts).