a man pulls a 54.0 kg box horizontally from rest while exerting a constant horiz

Question

a man pulls a 54.0 kg box horizontally from rest while exerting a constant horizontal force, displacing the box 2.60 m PRACTICE IT Use the worked example above to help you solve this problem. The combined weight of the crate and dolly as shown in the figure is 2.50 × 102 N. If the man pulls on the rope with a constant force of 22.0 N, what is the acceleration of the system (crate plus dolly), and how far will it move in 2.00 s? Assume that the system starts from rest and that there are no friction forces opposing the motion. acceleration m/s2 displacement EXERCISE HINTS: GETTING STARTED IPM STUCK A man pulls a 54.0 kg box horizontally from rest while exerting a constant horizontal force, displacing the box 2.60 meters in 2.00 seconds. Find the force the man exerts on the box. (Ignore friction.) Need Help? Read t

Explanation / Answer

here,

displacement , s = 2.6 m

time , t = 2 s

let the accelration be a

s = 0 + 0.5 * a * t^2

2.6 = 0 + 0.5 * a * 2^2

solving for a

a = 1.3 m/s^2

the force required , F = m * a

F = 54 * 1.3 = 70.2 N

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