This 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 85.0 kg and weighs 305 N mercury is 3.59 Venus 8.87 Earth 9.81 mars 3.77
A.mercury
B.Venus
C.earth
D. Mars
To determine the planet a person is standing on based on their weight and the acceleration due to gravity, we need to find the planet for which the weight of the person matches the gravitational force.
Weight of the person (in N) = Mass of the person (in kg) * Acceleration due to gravity (in m/s^2)
Given:
Mass of the person = 85.0 kg
Weight of the person = 305 N
Using the formula above, we can rearrange it to solve for the acceleration due to gravity on the unknown planet:
Acceleration due to gravity = Weight of the person / Mass of the person
For each planet, let's calculate the acceleration due to gravity and see which one matches the person's weight:
1. Mercury:
Acceleration due to gravity = 305 N / 85.0 kg = 3.59 m/s^2
2. Venus:
Acceleration due to gravity = 305 N / 85.0 kg = 3.59 m/s^2
3. Earth:
Acceleration due to gravity = 305 N / 85.0 kg = 3.59 m/s^2
4. Mars:
Acceleration due to gravity = 305 N / 85.0 kg = 3.59 m/s^2
From the calculations above, we can see that the acceleration due to gravity on each planet is different. None of the calculated values match the given acceleration due to gravity on their respective planets.
Therefore, based on the given information, we do not have enough information to determine which planet the person is standing on.