To find the planet the person is standing on, we need to use the formula:
weight = mass * acceleration due to gravity
Let's calculate the weight of the person on each planet:
1. On Mercury:
weight = 35.0 kg * 3.59 m/s^2 = 125.65 N
2. On Venus:
weight = 35.0 kg * 8.87 m/s^2 = 310.45 N
3. On Earth:
weight = 35.0 kg * 9.81 m/s^2 = 343.35 N
4. On Mars:
weight = 35.0 kg * 3.77 m/s^2 = 131.95 N
Based on the calculations, the person has a weight of 343 N, which is the same as on Earth. Therefore, the person is standing on Earth.
The table shows the acceleration due to gravity on four different planets. What planet is a person standing on if the person has a mass of 35.0 kg and weighs 343 N?
Location Acceleration due to gravity (m/s^2)
Mercury 3.59
Venus 8.87
Earth 9.81
Mars 3.77
1 answer