Question

I understand the basic concepts and have the formulas. I need your help with application… thank you in advance :)

20) A 50 kg person is standing on the Earth. What will be the approximate force on that person due to Mars when Mars and Earth are at their closest? The distance between Earth and Mars is 5.46 x 100 m and the mass of Mars is 6.39 x 10²3 kg.

A) 7.15 x 10 Newtons
B) 9.45 x 107 Newtons
C) 4.22 x 10° Newtons
D) 9.81 x 10-13 Newtons

Answer 1

B) 9.45 x 10^7 Newtons

Step-by-step explanation:

The force of gravity between two objects can be calculated using the formula F = G * (m1 * m2)/(r^2), where F is the force of gravity, m1 and m2 are the masses of the objects, r is the distance between the objects, and G is the gravitational constant (G = 6.67 x 10^-11 N*(m^2)/(kg^2)). Plugging in the numbers, we get:

F = 6.67 x 10^-11 * (50 kg) * (6.39 x 10^23 kg) / (5.46 x 10^11 m)^2

F = 9.45 x 10^7 N

So the force on the 50 kg person due to Mars at their closest approach would be approximately 9.45 x 10^7 Newtons.