A man weighs 772 N on Earth. What would he weigh on Jupiter, where the free-fall acceleration is 25.9 m/s2? The acceleration of gravity is 9.8 m/s2 . Answer in units of N
W = (25.9/9.8) * 772 = 2040.3N. on Jupiter.
To find the weight of a man on Jupiter, we can use the formula:
Weight = Mass × Acceleration due to gravity
The weight on Earth is given as 772 N and the acceleration due to gravity on Earth is 9.8 m/s². We can express the weight in terms of mass using the formula:
Weight = Mass × Acceleration due to gravity
772 N = Mass × 9.8 m/s²
To find the mass, we can rearrange the formula:
Mass = Weight / Acceleration due to gravity
Mass = 772 N / 9.8 m/s²
Now, we know the acceleration due to gravity on Jupiter is 25.9 m/s². We can use the same formula to find the weight on Jupiter:
Weight on Jupiter = Mass × Acceleration due to gravity on Jupiter
Weight on Jupiter = (772 N / 9.8 m/s²) × 25.9 m/s²
Calculating this expression will give us the weight on Jupiter in units of Newtons.