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moving a force of 512 newtons through a distance of 25.0 meters requires how many joules of energy? if johnathan did this 10 times, how many joules of energy did he expend? one food calorie = 4186 joules. how many food calories of energy did he use?

2007-01-18 13:19:35 · 1 answers · asked by argentina_mandy20 1 in Science & Mathematics Physics

1 answers

The work (in terms of Energy) done by a force exerted over a distance is given as,
Work = Force * Distance
W = F * d

You are given the values for the force and the distance,
F = 512 Newtons
d = 25.0 meters
So just plug into the above formula,

W = (512 N) * (25.0 m)
W = 12800 Joules (= 12.8 kJ)

12800 Joules of energy are expended every time ‘Jonathan’ exerts his force of 512 N over the distance of 25.0 meters. If he does this 10 times, he exerts 10 times this amount of energy in the form of work.
If he does it 10 times, he does 128000 Joules of work (= 128 kJ).

One Calorie (notice the capital C) is one “food calorie” is the same as 1000 normal calories (notice the lower case c).
1 calorie = 4.186 Joules

So if Jonathan the work described above (10 times, exerted 512 N over 25.0 m, = 128 kJ), then he would have spent,
128000 Joules / 4.186 Joules per calorie = 30578 calories,
Converting this to Calories now just means dividing by 1000,
He exerted 30.6 Calories of energy.

2007-01-18 13:29:26 · answer #1 · answered by mrjeffy321 7 · 1 0

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