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
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.