The mass of a hypothetical planet is 1/100 that of earth and its radius is 1/4 that of earth. if a person weighs 600 n on earth, what would he weigh on this planet ?

To solve this problem we will apply the Newtonian concept of gravitational acceleration produced by a planet. This relationship is given by:

Where,

G = Gravitational Universal Constant

M = Mass of Earth

r = Radius

The values given are based on the constants of the earth, so they can be expressed as

The relationship of gravity would then be given:

The relationship with the new planet, from the gravity of the earth would be given

The relationship with the weight of the earth would be given as:

Therefore the weigh on this planet would be 96N

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s