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?
a
Venus
b
Mars
c
Mercury
d
Earth
The weight of a person is given by the formula:
Weight = Mass × Acceleration due to gravity
In this case, the weight is given as 343 N and the person's mass is 35.0 kg. To find the planet the person is standing on, we need to match the weight to the corresponding acceleration due to gravity.
Let's calculate the weight on each planet using the formula above:
On Venus: Weight = Mass × Acceleration due to gravity on Venus = 35.0 kg × 8.87 m/s²
On Mars: Weight = Mass × Acceleration due to gravity on Mars = 35.0 kg × 3.71 m/s²
On Mercury: Weight = Mass × Acceleration due to gravity on Mercury = 35.0 kg × 3.70 m/s²
On Earth: Weight = Mass × Acceleration due to gravity on Earth = 35.0 kg × 9.81 m/s²
Comparing the given weight of 343 N to the weight calculated on each planet, we find that the weight matches the weight on Earth. Therefore, the person is standing on Earth (option d).