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Force and Free Body Diagrams

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A person pushes a 13.0 kg lawn mower at constant speed with a force of 75.0 N directed along the handle, which is at an angle of = 48.0° to the horizontal (Fig. 4-38).

Fig. 4-38.
(a) Draw the free-body diagram showing all forces acting on the mower

(b) Calculate the horizontal retarding force on the mower (N)

(c) Calculate the normal force exerted vertically upward on the mower by the ground. (N)

(d) Calculate the force the person must exert on the lawn mower to accelerate it from rest to 1.0 m/s in 2.0 seconds (assuming the same retarding force). (N)

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Solution Summary

The force and free body diagrams are examined. The constant speed angles are determined.

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Free Body Diagram & Minimal Force for a Block

See attached file.
Provide a stepwise solution.

a) Draw the free body diagram for the block.

b) What is the minimum Force with which you can push the block and have it move?


c) You push the block with the Force determined in part (b) and it begins to move. What will the acceleration of the block be?


d) (5pts) You apply this Force for 10s. What is the net work done on the block over this time?


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