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?
I will be happy to critique your work.
A) To calculate the weight of the man on Jupiter, we can use the formula:
Weight = Mass × Acceleration due to gravity
Weight = 70 kg × 25 m/s^2
Weight = 1750 N
Therefore, the man would weigh 1750 Newtons on Jupiter.
B) To determine the mass of a person required to weigh the same amount on Earth, we can divide the weight by the acceleration due to gravity on Earth, which is approximately 9.8 m/s^2:
Mass = Weight / Acceleration due to gravity
Mass = 1750 N / 9.8 m/s^2
Mass ≈ 178.57 kg
Therefore, to weigh the same amount on Earth, the person would need to have a mass of approximately 178.57 kg.
To find the weight of a person on Jupiter, we can use the formula:
Weight = Mass × Acceleration due to Gravity
A) To find the weight of the man on Jupiter:
Weight (on Jupiter) = Mass (of the man) × Acceleration due to Gravity (on Jupiter)
Weight (on Jupiter) = 70 kg × 25 m/s^2
Just multiply the mass of the man (70 kg) by the acceleration due to gravity on Jupiter (25 m/s^2):
Weight (on Jupiter) = 1,750 Newtons (N)
So the man's weight on Jupiter would be 1,750 Newtons.
B) To find the mass of a person needed to weigh the same amount on Earth, we need to use the formula:
Weight = Mass × Acceleration due to Gravity
We need the weight of the man on Earth (which we assumed to be the same as his weight on Jupiter) and the acceleration due to gravity on Earth, which is approximately 9.8 m/s^2.
Weight (on Earth) = Mass (of the person) × Acceleration due to Gravity (on Earth)
Weight (on Earth) = 1,750 N × 9.8 m/s^2
Now, we can solve for the mass of the person:
Mass (of the person) = Weight (on Earth) / Acceleration due to Gravity (on Earth)
Mass (of the person) = 1,750 N / 9.8 m/s^2
Mass (of the person) ≈ 178.57 kg (rounded to two decimal places)
Therefore, a person would need to have a mass of approximately 178.57 kg to weigh the same on Earth as the man weighs on Jupiter.
So far for:
A) w=mg
=(70 kg)(25m/s^2)
= 1750 N
B) m=wg
=(1750 N)(9.8 m/s^2)
=1666
(I don't know what the units would be for this or if it even right) If you can help, it would be greatly appreciated!