The Moon has a mass of 7.36 1022 kg and a radius of 1.74 106 m.

(a) What is the acceleration due to gravity on the Moon?
b) How much would a 4.03 kg person weigh on this planet

To answer these questions, we need to use the formula for gravitational acceleration:

(a) The formula for gravitational acceleration is given by:
acceleration due to gravity (g) = G * (mass of the Moon) / (radius of the Moon)^2

Where G is the gravitational constant, which is approximately 6.67430 × 10^-11 N m^2/kg^2.

Plugging in the given values:
mass of the Moon = 7.36 × 10^22 kg
radius of the Moon = 1.74 × 10^6 m

We can now calculate the acceleration due to gravity on the Moon:
g = (6.67430 × 10^-11 N m^2/kg^2) * (7.36 × 10^22 kg) / (1.74 × 10^6 m)^2

(b) To find out how much a person would weigh on the Moon, we can use the formula:
weight = mass * acceleration due to gravity

Plugging in the given values:
mass = 4.03 kg

We can now calculate the weight of the person on the Moon:
weight = 4.03 kg * acceleration due to gravity on the Moon

Now, let's calculate the answers.

(a) Calculating the acceleration due to gravity on the Moon:
g = (6.67430 × 10^-11 N m^2/kg^2) * (7.36 × 10^22 kg) / (1.74 × 10^6 m)^2

(b) Calculating the weight of the person on the Moon:
weight = 4.03 kg * acceleration due to gravity on the Moon

By following these steps, we can find the answers to the questions.