1. Tardigrade
  2. Question
  3. Physics
  4. The gravitational potential difference between a point at the surface of a certain planet and a point 10 m above the surface is 4.0 J kg -1. Assuming the gravitational field is uniform, the work done in joule, in moving a mass of 2.0 kg from the surface to a point 5.0 m above the surface is

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Q. The gravitational potential difference between a point at the surface of a certain planet and a point $10 m$ above the surface is $4.0 J kg ^{-1}$. Assuming the gravitational field is uniform, the work done in joule, in moving a mass of $2.0 kg$ from the surface to a point $5.0 m$ above the surface is

Gravitation

Solution:

$ \Delta V=\frac{\Delta U}{m}=\frac{m g \Delta h}{m}=g \Delta h$
$g(10 m )=4 J kg ^{-1}, g=\left(\frac{4}{10}\right) J kg ^{-1} \cdot m ^{-1}$
$W_{ ex }=\Delta U^{\prime}=m^{\prime} g \Delta h^{\prime}=(2 kg )\left(\frac{4}{10} J kg ^{-1} m ^{-1}\right)(5 m )$
$=4 J$