Question

The mass of hypothetical planet is 1/100 that of earth and its radius is 1/4 that of earth. If a person weights 600N on earth, what would he weigh on this planet​

Answer 1

Answer:

150N

Explanation:

Answer 2

The weight of a person on the hypothetical planet is, w = 96 N

Explanation:

Given data,

Let the mass of the Earth be, M

The mass of the hypothetical planet is, M/100

Let the radius of Earth be, R

The radius of the hypothetical planet is, R/4

The weight of the person on earth, W = 600 N

According to Newton's law of gravitation, the force acting on the person is given by,

                          F = GMm/R²         ( m - mass of the person)

                          mg = GMm/R²  

The force acting on the person on the hypothetical planet,

                          $f=\frac{G\frac{M}{100}m}{(\frac{R}{4})^{2}}}$

                          $f=w=\frac{16GMm}{100R^{2}}$

                                     =  $\frac{16}{100}mg$

                                     = $\frac{16}{100}600N$

                                   w = 96 N

Hence, the weight of a person on the hypothetical planet is, w = 96 N