A particle of mass 10g is kept on the surface of a uniform sphere of mass 100kg and radius 10cm- Find the work done against the gravitational force between them to take the particle far away from the sphere-13-34times -10-10- J6-67times -10-10- J3-33times -10-10- J7-67times -10-10- J

Question

Toppr Admin · Accepted Answer

The work to be done against the gravitational force between the particle and the sphere so that they are separated by infinite distance is numerically equal to the gravitational potential energy $U$
Now, $U = - \frac{G M m}{R}$
$= \frac{6.67 \times 10^{- 11} \times 100 \times 10 \times 10^{- 3} \times 100}{10}$ J
Work done $= 6.67 \times 10^{- 10}$ J.

A particle of mass 10g is kept on the surface of a uniform sphere of mass 100kg and radius 10cm. Find the work done against the gravitational force between them to take the particle far away from the sphere.13.34×10−10 J6.67×10−10 J3.33×10−10 J7.67×10−10 J

The work to be done against the gravitational force between the particle and the sphere so that they are separated by infinite distance is numerically equal to the gravitational potential energy UNow, U=−GMmR=6.67×10−11×100×10×10−3×10010JWork done =6.67×10−10 J.