If a man weighs 600 N on the Earth, what would he weigh on Jupiter, where the free-fall acceleration is 25.9 m/s2?

his weight is proportional to the acceleration

w / 600 N = 25.9 / 9.81

To find the weight of the man on Jupiter, we can use the formula:

Weight = Mass * Acceleration due to gravity

First, let's find the mass of the man on Earth using the formula:

Weight = Mass * Acceleration due to gravity

600 N = Mass * 9.8 m/s^2

Mass = 600 N / 9.8 m/s^2
Mass = 61.22 kg

Now we can find the weight of the man on Jupiter using the formula:

Weight on Jupiter = Mass * Acceleration due to gravity on Jupiter

Weight on Jupiter = 61.22 kg * 25.9 m/s^2
Weight on Jupiter ≈ 1584.70 N

Therefore, the man would weigh approximately 1584.70 N on Jupiter.

To find the weight of the man on Jupiter, we can use the formula:

Weight = Mass × Acceleration due to gravity

The weight of an object is calculated by multiplying its mass by the acceleration due to gravity. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2. However, on Jupiter, the acceleration due to gravity is 25.9 m/s^2.

Given that the man weighs 600 N on Earth, we can calculate his mass using the formula:

Weight = Mass × Acceleration due to gravity

600 N = Mass × 9.8 m/s^2

Dividing both sides of the equation by 9.8 m/s^2, we can find the mass:

Mass = 600 N / 9.8 m/s^2 ≈ 61.22 kg

Now, we can calculate the weight on Jupiter using the same formula, but with the acceleration due to gravity on Jupiter:

Weight on Jupiter = Mass × Acceleration due to gravity on Jupiter
= 61.22 kg × 25.9 m/s^2
≈ 1586.60 N

Therefore, the man would weigh approximately 1586.60 N on Jupiter, where the free-fall acceleration is 25.9 m/s^2.