A box with a mass of 4.50 kg is initially at rest on a horizontal frictionless s

Question

A box with a mass of 4.50 kg is initially at rest on a horizontal frictionless surface. You then pull on a string attached to the box, exerting a constant force F at an angle of 45° above the horizontal. This pull causes the box to travel 4.00 m horizontally in 2.00 s. Use g = 9.80 m/s2.
(a) First, find the box’s acceleration by treating this as a one-dimensional constant-acceleration problem.

1 m/s2
(b) Find the magnitude of the force F.

2 N
(c) Find the magnitude of the normal force acting on the box.

3 N

Explanation / Answer

a. d=.5at^2 4=.5a(2^2) a=2 m/s^2 b. Fcos(theta) = ma Fcos(45) = 4.5(2) F= 12.7279 N c. Fn = Fg - Fsin(theta) = 4.5(9.8) - 12.7279sin(45) = 35.1N

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