A person weighs 900 N on Earth. What would he weigh on another planet, where the free-fall acceleration is 26.4 m/s2? Answer in units of N.
Weight=GravitationalField*mass
on Earth, gravitational field g=9.8N/kg
Here, on this planet it is g=26.4N/kg
Weight=mass*g= 900/9.8 * 26.2 N
thank you bob, you have been very helpful! :)
To find the weight of a person on another planet, we can use the formula:
Weight = Mass x Acceleration due to gravity
On Earth, the acceleration due to gravity is approximately 9.8 m/s^2. We are given the weight on Earth as 900 N, and we need to find the weight on the other planet with an acceleration due to gravity of 26.4 m/s^2.
Let's use the formula and solve for the weight on the other planet:
Weight = Mass x Acceleration due to gravity
900 N = Mass x 9.8 m/s^2
To find the mass, we can rearrange the formula:
Mass = Weight / Acceleration due to gravity
Mass = 900 N / 9.8 m/s^2
Mass ≈ 91.83 kg
Now that we know the mass, we can find the weight on the other planet using the same formula:
Weight = Mass x Acceleration due to gravity
Weight = 91.83 kg x 26.4 m/s^2
Weight ≈ 2419.51 N
Therefore, the person would weigh approximately 2419.51 N on the other planet.