One day a human being will land on Mars. Mars has a diameter of 6786 km and a mass of 6.42 * 10²³kg. If you weighed 834 N on Earth, how much would you weigh on Mars? A) 1270 N B) 316 N C) 224 N D) 834 N E) 2200 N

Question

Quizplus · Accepted Answer

We can use the formula for gravitational force:
F = (G*m1*m2)/r^2
where G is the gravitational constant (6.67 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between them.
First, we need to find the gravitational acceleration on Mars, which is:
g = (G*mass of Mars)/radius of Mars^2
g = (6.67 x 10^-11 * 6.42 x 10^23)/(3.393 x 10^7)^2
g = 3.71 m/s^2
Next, we can find the weight on Mars using the formula:
weight = mass * g
weight on Mars = (834 N)/(9.81 m/s^2)*3.71 m/s^2
weight on Mars = 316 N
Therefore, the answer is B.

One Day a Human Being Will Land on Mars