Considering the definition of work and power, 157.5 W of power was developed.
Power is defined as how fast work is done. That is, power is the amount of work done per unit of time:
[tex]P=\frac{work}{time}[/tex]
where:
On the other side, work is defined as the force that is applied on a body to move it from one point to another.
When a net force is applied to the body or a system and this produces displacement, then that force is said to perform mechanical work. This work can be positive if the system gains energy or negative if the system loses energy.
The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves.
In this case, the angle between the force and the displacement is 0 degrees. This is because the force and the displacement are in the same direction and sense, in the horizontal direction. So the cosine of 0 degrees will have a value of 1. Then work is equal to:
Work= force× distance
Being the force 105 N and the distance 15 meters, the work can be calculated as:
Work= 105 N× 15 meters
Solving:
Work= 1,575 J
Finally, being the time 10 seconds, the power can be calculated as:
[tex]Power=\frac{1,575 J}{10 s}[/tex]
Solving:
Power= 157.5 W
In summary, 157.5 W of power was developed.
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