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tekilochka [14]
2 years ago
13

Using a horizontal force of 60 N, a wagon is pushed horizontally across the floor a distance of 12 meters at a constant speed of

2.3 m/s
a) What is the work done by the force?
b) What is the power supplied by the force?
Physics
1 answer:
RideAnS [48]2 years ago
3 0

Answer:

a) The work done by the force is 720 joules, b) The power supplied by the force is 138 watts.

Explanation:

a) Since force is uniform and parallel to the direction of motion, the work (W), in joules, done by the force (F), in newtons, is defined by this formula:

W = F\cdot s (1)

Where s is the travelled distance, in meters.

If we know that F = 60\,N and s = 12\,m, then the work done by the force is:

W = F\cdot s

W = (60\,N)\cdot (12\,m)

W = 720\,J

The work done by the force is 720 joules.

b) And an expression for the power supplied by the force (\dot W), in watts, is concieved by differentiating (1) in time:

\dot W = F\cdot \dot s

Where \dot s is the speed of the wagon, in meters per second.

If we know that F = 60\,N and \dot s = 2.3\,\frac{m}{s}, then the power supplied by the force is:

\dot W = F\cdot \dot s

\dot W = (60\,N)\cdot \left(2.3\,\frac{m}{s} \right)

\dot W = 138\,W

The power supplied by the force is 138 watts.

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tje bold indicate vectors. As it indicates that the variation of the field is linear, we can approximate the derivatives

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