Question

the mass of mars is 1/9 times that of the earth and radius is 1/2 times that of the earth . what is the weight of a body having mass of 1000kg on the surface​

Answer 1

Thus, the weight of body on the surface of Mars is 4356 N.

Step by step explanation:

mass of mars, Mm = Mass of earth / 9 = Me/9

radius of Mars, Rm = Radius of earth / 2 = Re/2

mass of body, m = 1000 kg

The value of acceleration due to gravity is given by

$g = \frac{GM}{R^2}$

Where, G is the universal gravitational constant.

For Earth

$g_{e} = \frac{GM_{e}}{R_{e}^2}$.... (1)

For Mars

$g_{m} = \frac{GM_{m}}{R_{m}^2}$

$g_{m} = \frac{4GM_{2}}{9R_{e}^2}$.... (2)

Divide equation (2) by equation (1), we get

gm = 4/9 ge

gm = 4 / 9 x 9.8 = 4.356 m/s^2

Weight on Mars, W = mass x gm = 1000 x 4.356 = 4356 N

Thus, the weight of body on the surface of Mars is 4356 N.