A child kicks a stone along the sidewalk with a force of 520 newtons. The stone travels 1.5 meters in .30 seconds. How powerful is the child's kick?

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Answer 1 · 2018-02-23T06:14:28

I got #2600 \ "W"=2.6 \ "kW"#.

Power is measured in watts, and is given by the equation,

#P=W/t#

But, first, we need to find the work done. Work is given by the equation

#W=F*d#

Here, we got #F=520 \ "N"#, #d=1.5 \ "m"#, and so

#W=520 \ "N"*1.5 \ "m"=780 \ "J"#

So, the work done is #780 \ "J"#.

Plugging that back in the power equation, we get

#P=(780 \ "J")/(0.3 \ "s")=2600 \ "W"=2.6 \ "kW"#