If a man weighs 853.0 N on Earth, what would he weigh on Jupiter where the acceleration due to gravity is 25.4 m/s2?
To find out how much the man would weigh on Jupiter, where the acceleration due to gravity is 25.4 m/s², you can use the formula:
Weight = Mass × Acceleration due to gravity
First, we need to calculate the mass of the man. The weight of an object is the force it exerts due to gravity, and the formula to calculate weight is:
Weight = mass × gravitational acceleration
Rearranging the formula to solve for mass:
Mass = Weight ÷ gravitational acceleration
Given that the man's weight on Earth is 853.0 N and the acceleration due to gravity on Earth is approximately 9.8 m/s², we can find the mass:
Mass = 853.0 N ÷ 9.8 m/s²
Mass ≈ 87.24 kg
Now that we know the man's mass, we can calculate his weight on Jupiter using the same formula. The acceleration due to gravity on Jupiter is 25.4 m/s²:
Weight on Jupiter = Mass × Acceleration due to gravity on Jupiter
Weight on Jupiter = 87.24 kg × 25.4 m/s²
Weight on Jupiter ≈ 2214.9 N
Therefore, the man would weigh approximately 2214.9 N on Jupiter, where the acceleration due to gravity is 25.4 m/s².