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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).
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