If a long distance runner with a weight of 596.82 newtons does 35,674.7 joules of work during a portion of a race, what distance will she cover during that portion?

Explanation:

Work is equal to the product of force and distance.

We are solving for the distance, d. We know the force is 596.82 Newtons and the work is 35,674.7 Joules.

Substitute the values into the formula.

We want to solve for the distance, so we must isolate d on one side of the equation.

d is being multiplied by 596.82 Newtons. The inverse of multiplication is division. Divide both sides of the equation by 596.82 N

The Newtons will cancel, hence the prior unit conversion.

Let's round to the nearest hundredth, so the answer is concise. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.

The distance covered during the portion of the race is about 59.77 meters.

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