Universal Gravitation - Example Problem 1.4-4

 

A 75-kg astronaut standing on a scale on the moon's surface determines that she weighs 123 N. If the moon is known to have a mass of 7.347 x 10²² kg, determine the moon's radius at the astronaut's current location.

 

Given:

• m = 75 kg
• W_moon = 123 N
• m_moon = 7.347 x 10²² kg

 

 

Find: r_moon

 

Use the law of universal gravitation to determine the radius of the moon. G can be found in Appendix C.

 

r_moon =  km