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Question

A home-owner pushes a lawn mower across a horizontal patch of grass with a constant speed by applying a force P. The arrows in the diagram correctly indicate the directions but not necessarily the magnitudes of the various forces on the lawn mower. Which of the following relations among the various force magnitudes, W, f, N, P is correct?
133681_560a93b054d64450958ba5e371845a09.png

A
P > f and N > W
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B
P < f and N = W
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C
P > f and N < W
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D
P = f and N > W
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Solution

The correct option is A P > f and N > W
The lawn mower will move forward if the applied force by the man is greater than the friction force f. i.e P>f because horizontal component of applied force should be grater than frictional force.
. The grass will cut if N>W because vertical component of applied force is also in the direction of W.

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