Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted floor. You try pushing hard on one of the edges, but the box does not move. Suppose that you are pushing against the box from an angle 30.0∘ above horizontal with a force of magnitude 240 N. What is the magnitude of the friction force acting on the box?

Question

Physics

Marin Lindsey

8 September, 16:48

Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted floor. You try pushing hard on one of the edges, but the box does not move. Suppose that you are pushing against the box from an angle 30.0∘ above horizontal with a force of magnitude 240 N. What is the magnitude of the friction force acting on the box?

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Answers (1)

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Niko Beard · Answer 1

f = 207.85 N

Explanation:

given,

mass of box = 30 kg

angle made with the horizontal = 30.0∘

Horizontal force = 240 N

now calculating normal force

N = F_y + mg

N = F sin θ + mg

N = 240 sin 30.0∘ + 30 * 9.8

N = 414 N

Now

frictional force = F _x

f = F cos θ

f = 240 * cos 30.0∘

f = 207.85 N

frictional force acting on the box is 207.85 N