The mass of mars is 6.42 x 10^23 kg and its radius is 3.38 x 10^6m, What is the weight of a 70.0 kg student on this planet?
I know weight equals (m)(a) but im not sure how to relate it to the information given
Forceg=GMm/r^2 M mass of Mars, m mass of student, r=distance apart, or the radius of the Planet.
To calculate the weight of the student on Mars, you can use the equation:
Weight = mass × gravitational acceleration
Here are the steps to calculate it:
Step 1: Find the gravitational acceleration on Mars.
The gravitational acceleration on Mars is approximately 3.71 m/s^2.
Step 2: Calculate the weight using the formula.
Weight = mass × gravitational acceleration
Weight = 70.0 kg × 3.71 m/s^2
Step 3: Calculate the weight.
Weight = 259.7 N
Therefore, the weight of a 70.0 kg student on Mars would be approximately 259.7 Newtons.
To determine the weight of the student on Mars, we need to first calculate the acceleration due to gravity on Mars using the given information.
The acceleration due to gravity (g) on a planet is calculated using the formula:
g = G * (M / R^2)
Where:
- G is the universal gravitational constant equal to 6.67430 × 10^-11 N(m/kg)^2
- M is the mass of the planet
- R is the radius of the planet
Substituting the given values:
M (mass of Mars) = 6.42 x 10^23 kg
R (radius of Mars) = 3.38 x 10^6 m
G (universal gravitational constant) = 6.67430 × 10^-11 N(m/kg)^2
g = (6.67430 × 10^-11 N(m/kg)^2) * (6.42 x 10^23 kg) / (3.38 x 10^6 m)^2
Now we can calculate g.
g ≈ (6.67430 × 10^-11 N(m/kg)^2) * (6.42 x 10^23 kg) / (3.38 x 10^6 m)^2
g ≈ 3.71 m/s^2
Now that we have calculated the acceleration due to gravity on Mars, we can find the weight of the student using the formula:
Weight = mass * acceleration due to gravity
Weight = 70.0 kg * 3.71 m/s^2
Weight ≈ 259.7 N
Therefore, the weight of a 70.0 kg student on Mars would be approximately 259.7 Newtons.