Find the force of gravity between a newborn baby (mass = 2.9 kg ) and planet Mars (mass = 6.4×1023kg) when Mars is at its closest to Earth (distance = 5.6×1010m ).

Respuesta :

Answer:

The force of gravity between the newborn baby and Mars is [tex]3.94x10^{-8}N[/tex]

Explanation:

The universal law of gravitation is defined as:

[tex]F = G\frac{m1m2}{r^{2}}[/tex] (1)

Where G is the gravitational constant, m1 and m2 are the masses of the two objects and r is the distance between them.

Since the newborn baby is at the Earth, it will be at a distance (r) of [tex]5.6x10^{10}m[/tex] from Mars.

Therefore, equation 1 can be used:

[tex]F = (6.67x10^{-11}kg.m/s^{2}.m^{2}/kg^{2})\frac{(2.9Kg)(6.4x10^{23}Kg)}{(5.6x10^{10}m)^{2}}[/tex]

[tex]F = 3.94x10^{-8}Kg.m/s^{2}[/tex]

[tex]F = 3.94x10^{-8}N[/tex]

Hence, the force of gravity between the newborn baby and Mars is [tex]3.94x10^{-8}N[/tex].