A man has a mass of 70 kg.
A) What would his weight be on Jupiter which as an acceleration of gravity of 25m/s^2?
B) What would the mass of a person have to be in order for him to weigh that amount on earth?
A) To find the man's weight on Jupiter, we can use the formula:
Weight = mass × acceleration due to gravity
Given:
Mass = 70 kg
Acceleration due to gravity on Jupiter = 25 m/s²
Weight = 70 kg × 25 m/s² = 1750 N
Therefore, the man's weight on Jupiter would be 1750 Newtons.
B) To find the mass of a person required to weigh the same amount on Earth, we need to know the acceleration due to gravity on Earth, which is approximately 9.8 m/s².
Weight = mass × acceleration due to gravity
Given:
Weight on Earth = 1750 N
Acceleration due to gravity on Earth = 9.8 m/s²
1750 N = mass × 9.8 m/s²
To solve for the mass, we divide both sides of the equation by 9.8 m/s²:
mass = 1750 N / 9.8 m/s²
mass ≈ 178.57 kg
Therefore, the mass of a person would have to be approximately 178.57 kg for them to weigh the same amount on Earth as the man weighs on Jupiter.