Work done on a body of mass 10 kg to lift it through a certain height is 490 J. Calculate the height through which the body is lifted.

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Solution

Step 1: Given data and assumptions
Mass of the body is, $m = 10 k g$
Work done to lift the body to a height is, $W = 490 J$
Assume the gravity is, $g = 9.8 m / s^{2}$ .
Step 2: Calculating the lifted height
We know, work done is given as,
$W = m g h$
where, $m$ is mass, $g$ is acceleration due to gravity and $h$ is height.
Substituting the known values in $W = m g h$ , we get,
$490 = 10 k g \times 9.8 m / s^{2} \times h h = \frac{490}{98} h = 5 m$
Therefore, the height through which the body is lifted is $5 m$ .

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