Question

Complete the chart below.

F(N)	M1(kg)	M2(kg)	D(m)
(a)	50	84	02
16 × 109	1.63 × 1022	(b)	34

Answer 1

We know, F = `"G"("M"_1"M"_2)/"D"^2`

Where G is the constant of proportionality and is called the universal gravitational constant, in SI units, its value is 6.673 × 10⁻¹¹ N m² kg⁻².

1. Given, M₁ = 50 kg, M₂ = 84 kg, D = 02 m
   Therefore, using the formula,
   F = `(6.673 xx 10^-11 xx 50 xx 84)/2^2`
   ⇒ F = 7 × 10⁻⁸ N
2. Given, F = 16 × 10⁹ N, M₁ = 1.63 × 10²² kg, D = 34 m
   To find, M₂ = ?
   Therefore, using the formula,
   16 × 10⁹ = `((1.63 xx 10^22 xx "M"_2 xx 6.673 xx 10^-11))/(34)^2`
   ⇒ M₂ = 17 kg
   So, the following table is as follows:

F(N)	M1(kg)	M2(kg)	D(m)
7 × 10−8	50	84	02
16 × 109	1.63 × 1022	17	34