Mohammed, who has a mass of 70 kg, has decided that he would like to lose some weight. a. How much does Mohammed weigh now? b. How much would Mohammed weigh on the moon? (The acceleration due to gravity is 1.62m/s^2) c. If Mohammed wants to lose weight by going to another planet and he wants to weigh 350 Newtons, what must the acceleration due to gravity on that planet be?
a. Mohammed weighs 70 kg.
b. Mohammad would weigh on the moon:
Weight on the moon = Mass x Acceleration due to gravity on the moon
Weight on the moon = 70 kg x 1.62 m/s^2
Weight on the moon = 113.4 Newtons
c. To find the acceleration due to gravity on the new planet where his weight would be 350 Newtons:
Weight on the new planet = Mass x Acceleration due to gravity on the new planet
350 N = 70 kg x Acceleration due to gravity on the new planet
Acceleration due to gravity on the new planet = 350 N / 70 kg
Acceleration due to gravity on the new planet = 5 m/s^2
Therefore, Mohammed would need to go to a planet where the acceleration due to gravity is 5 m/s^2 in order to weigh 350 Newtons.