To determine the planet a person is standing on, we need to compare the person's weight to the acceleration due to gravity on each planet.
The weight of the person is given as 305 N.
Using the formula weight = mass * acceleration due to gravity, we can rearrange the formula to solve for acceleration due to gravity.
acceleration due to gravity = weight / mass
On Earth: acceleration due to gravity = 305 N / 85.0 kg = 3.59 m/s^2
On Mars: acceleration due to gravity = 23.1 N / 85.0 kg = 0.271 m/s^2
On Venus: acceleration due to gravity = 635 N / 85.0 kg = 7.47 m/s^2
On Mercury: acceleration due to gravity = 237 N / 85.0 kg = 2.79 m/s^2
Comparing the values, we can see that the person's weight matches closest to the acceleration due to gravity on Venus (7.47 m/s^2).
Therefore, the person is standing on c. Venus.
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 85.0 kg and weighs 305 N?
a. Earth
b. Mars
c. Venus
d. Mercury
1 answer
1 answer