High School

A box of mass 4.0 kg is accelerated from rest by a force across a floor at a rate of 7.0 s. Find the net work done on the box.

A) 196 J
B) 392 J
C) 686 J
D) 980 J

Answer :

Final Answer:

The net work done on the box is 686 J, corresponding to option C.

Explanation:

To find the net work done on the box, we use the formula:

Work = Force × Distance

First, we need to find the force acting on the box. Using Newton's second law (F = ma), where m = 4.0 kg (mass of the box) and a is the acceleration, we get:

F = m × a

F = 4.0 kg × 1.5 m/s²/7.0 s

F = 0.857 N

Next, we calculate the distance traveled by the box using the equation of motion:

d = 1/2 at²

d = 1/2 × 1.5 m/s² × (7.0 s)²

d = 36.75 m

Now, we can find the work done:

Work = 0.857 N × 36.75 m

Work = 686 J

Therefore, the net work done on the box is 686 J, matching Option C).