Gravitational Potential Numericals – solved worksheet (numerical)

Last updated on December 3rd, 2022 at 05:35 pm

In this post, find Gravitational Potential Numericals in a solved worksheet (numerical). And, we will solve a bunch of numerical problems (Questions and answers) with the help of the concept and formula of Gravitational Potential, gravitational potential energy, & gravitational force.

Also solve: Numericals on Gravitational force and Universal Law of gravitation – class 9

Gravitational Potential Numericals – numerical worksheet with Questions, answers & solution

1 ) What is the gravitational potential at the Earth’s surface? (mass of Earth = 5.97 x 10²⁴ kg,radius of Earth = 6371 km)

Solution:

Gravitational potential: V_gravity= – GM/r = – (6.67 x 10^-11 x 5.97 x 10²⁴ )/(6371000) = 62.5×10⁶ Joule/kg = 62.5 MegaJoule/kg

2 ) Taking the Earth’s surface as V_grav = 0, what is the gravitational potential 2m above the ground?

Solution:

3 ) A 0.2 kg firework reaches a gravitational potential relative to the ground of 500 Jkg−1. If the firework is 30% efficient, how much energy was expended to get there?

Solution:

However, this is only 30% of the energy expended, so:

Efficiency = output/input

30/100 = 100/input

=> 0.3 = 100/input

=> input = 100/0.3 = 333.33 J

4 ) Express gravitational potential in terms of gravitational force.

Solution:

V_grav = E_grav/m
=> V_grav = (F_grav x r) / m

or

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