Here we will solve a bunch of numerical problems from the Gravitation chapter of high school Physics, covering gravitational force and gravitational constant. This is a well crafted *numerical problem worksheet *that you should try.

The solutions of the numerical problems are also provided at the end of this worksheet.

This worksheet is appropriate for high school students of IGCSE, ICSE, CBSE, State Boards, and good for competitive exams as well.

**Numerical problems worksheet on Gravitation and gravitational force**

**1 ] Find the gravitational force of attraction between a body of unit mass and the Moon.**

Mass of the moon = 7.4 x 10^22 kg

radius of the moon = 1.74 x 10^6 m

G = 6.67 x 10^(-11) N-m^2/kg^2

**2 ] What is the gravitational force between the Sun and the Earth? **

(take, the mass of the Sun = 1.99 x 10^30 Kg.

mass of the Earth = 6 x 10^24 Kg

G = 6.67 x 10^(-11) N-m^2/kg^2

and distance between the Sun and the Earth=1.49 x 10^11 m)

**3 ] Find the acceleration due to gravity on the surface of Jupiter using the data given below;**

(Mass of Jupiter: M = 1.9 x 10^27 kg,

the radius of Jupiter = R = 7 x 10^7 m

**4 ] A body weighs 25 kg on the surface of the earth. if the mass of the earth is 6 x 10^24 kg, the radius of the earth is 6.4 x 10^6 m, and the gravitational constant =6.67 x 10^(-11) N-m^2/kg^2. ****Calculate (a) the acceleration produced in the body ****(b) the acceleration produced in the earth.**

**5 ] Estimate the gravitational force between 2 protons separated by a distance of 1 angstrom.**

**mass of proton = 1.6 x 10^(-27) kg**

**6 ] Two bodies A and B of masses m and 2m respectively are kept at a distance d apart. Where should a small particle be placed, so that the net gravitational force on it due to the bodies A and B is zero?**

**7 ] Consider a heavenly body whose mass is half that of the earth and its radius is also half that of the earth. What is the acceleration due to gravity at the surface of this heavenly body? (Take acceleration due to gravity at the surface of the earth = 10 m/s^2)**

**Solution**

**1] **Solution of Gravitation numerical problem worksheet – Q1

**2] Solution of Gravitation numerical problem worksheet – Q2**

**Sol**

**3 ] Solution of Q3**

**4 ] Solution of Q4**

**5 ] Solution of Q5**

**6 ] Solution of Q6**

The particle must be placed between A and B bodies, on the line AB, to cancel out the gravitational forces on the particle. Suppose it’s at a distance x from A. So it will be at a distance (d-x) from B. Let its mass is m* ^{I}* .

**7 ] Solution of Q7**

**g= GM / R ^{2} = [G (M_{e}/2)]/(R_{e}/2)^{2} = 2 (G M_{e}/R_{e}^{2} ) = 2 g_{ earth} = 2 x 10 m/s^{2} = 20 m/s^{2}**

**Reference**: **Newton’s Law of Gravitation**