# 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 10 ^{24} kg,radius of Earth = 6371 km)**

**Solution: **

**Gravitational potential**: V_{gravity}= – GM/r = – (6.67 x 10^{-11} x **5.97 x 10 ^{24}** )/(6371000) = 62.5×10

^{6}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?**

**Sol**ution:

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**

Suggested: Similar Post on Numericals: Numericals on Gravitational force and Universal Law of gravitation – class 9