To find: The work done by a constant force in moving a lawn mower at a distance of 200ft along a horizontal path.
Answer to Problem 47E
The work done by a constant force in moving a lawn mower is 8660.25 ft-lb.
Explanation of Solution
Given:
The distance pushed is 200ft.
A constant force along a horizontal path is 50lb.
The angle formed between the handle of lawn mower and horizontal axis is
Formula used:
The work done (W) in moving an object along a
Calculation:
The lawn mower moves 200ft towards left along the x-axis and there is no change in y-axis. So, the x-component is 200ft and y-component is 0.
The displacement vector is,
The formula to calculate force with given length and direction in terms of components is,
Substitute 50 for
Substitute
Thus, the work done by a constant force in moving a lawn mower is 8660.25 ft-lb.
Chapter 9 Solutions
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