The gravitational force on a body of mass 60 kg is 588 N If mass of earth is 6 - Science - Gravitation

Question

The gravitational force on a body of mass 60 kg is 588 N If mass
of earth is 6 x 1024 kg and radius of earth is 6 4 x
106m; find the value of G

Vijay Yadav · Accepted Answer

We know,

$F = \frac{GMm}{R^{2}}$

Given, F = 588 N

m = 60 kg

M = 6 × 10²⁴ kg

R = 6.4 × 10⁶ m

$∴ G = \frac{{F R}^{2}}{M· m} = \frac{(588) (6.4 \times 10^{6})^{2}}{6 \times 10^{24} \times 60} = 66.9 \times 10^{- 12} N - m^{2} - {kg}^{- 2} = 6.69 \times 10^{- 11} N - m^{2} {kg}^{- 2}$

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The gravitational force on a body of mass 60 kg is 588 N. If mass of earth is 6 x 1024 kg and radius of earth is 6.4 x 106m; find the value of G

The gravitational force on a body of mass 60 kg is 588 N. If mass of earth is 6 x 10²⁴ kg and radius of earth is 6.4 x 10⁶m; find the value of G