To find out which planet a person is standing on, we need to compare the weight of the person on each planet to the given table of gravitational accelerations.
Weight is calculated using the equation:
weight = mass * acceleration due to gravity
For each planet, we can calculate the weight of the person using the given mass of 35.0 kg.
On Mercury:
weight = mass * acceleration due to gravity
weight = 35.0 kg * 3.59 m/s^2
weight ≈ 125.65 N
On Venus:
weight = mass * acceleration due to gravity
weight = 35.0 kg * 8.87 m/s^2
weight ≈ 310.45 N
On Earth:
weight = mass * acceleration due to gravity
weight = 35.0 kg * 9.81 m/s^2
weight = 343.35 N
On Mars:
weight = mass * acceleration due to gravity
weight = 35.0 kg * 3.77 m/s^2
weight ≈ 131.95 N
Comparing the calculated weights to the given weight of 343 N, we can see that the person is standing on Earth.
Therefore, the answer is c) 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?
mercury 3.59
venus 8.87
earth 9.81
mars 3.77
a
Mercury
b
Mars
c
Earth
d
Venus
1 answer