The planet mars has a mass of 6042e23 kg and a radius of 3038e6 m. how much would a 60 kg person weigh on Mars compared to their weight on Earth? How heavy he would feel he weighed in kg on Mars?

The value of the acceleration of gravity "g" on Mars is

G*M/R^2
where the M and R are the mass and radius of Mars, which you have provided.

G is Newton's universal gravity constant.

Compare the Mars g to the g value on Earth, which is 9.8 m/s^2.

g is less on Mars. Weights on Mars will be reduced by the same factor.

YOU MEAN:

6.042e23 kg and a radius of 3.038e6

Kg, mass, is the same everywhere.
weight in Newtons is m * local g

Fearth = m g = 9.81*60 = 588.6 Newtons = weight on earth

on Mars:
F = G 60 Mmars/Rmars^2
= 6.67*10^-11 * 60 * 6.042*10^23/(3.038^2*10^12)
= 262*10^0 = 262 N = weight on Mars

Boss La graw

To determine how much a 60 kg person would weigh on Mars compared to their weight on Earth, we can use the formula for calculating gravitational force:

F = (G * m1 * m2) / r^2

Where:
F is the gravitational force between two objects,
G is the gravitational constant (approximately 6.67e-11 N m^2 / kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.

In this case, m1 is the mass of Mars (6.042e23 kg), m2 is the mass of the person (60 kg), and r is the sum of the radii of the two objects (radius of Mars + radius of person).

Let's calculate the weight of the person on Mars.

First, we need to convert the masses and radii into SI units (kilograms and meters):

Mass of Mars (m1) = 6042e23 kg = 6.042e25 kg
Mass of the person (m2) = 60 kg

Radius of Mars (r1) = 3038e6 m = 3.038e9 m
Radius of the person (r2) = 0 (since the person's size is negligible compared to the radius of Mars)

Now, we can calculate the weight of the person on Mars:

F = (G * m1 * m2) / (r1 + r2)^2

F = (6.67e-11 N m^2 / kg^2 * 6.042e25 kg * 60 kg) / (3.038e9 m)^2

Calculating this expression will give us the gravitational force between the person and Mars.

To find how heavy the person would feel on Mars, we divide this force by the acceleration due to gravity on Earth (approximately 9.8 m/s^2), which gives us the weight of the person on Mars in kilograms.

Weight (on Mars) = F / 9.8 m/s^2

By performing these calculations, we can determine the weight of the person on Mars compared to their weight on Earth, as well as the weight they would feel in kilograms on Mars.