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
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.