Question

A space task force has found a planet that can be inhabited by humans! An astronaut that weighs 1407.0 N on Earth. Planet X has an acceleration due to gravity of ___ m/s². What is the astronaut's weight on Planet X?

Answer 1

The weight of an astronaut on Planet X is determined by multiplying the astronaut's mass by the acceleration due to gravity on that planet. We first calculate the astronaut's mass using Earth's gravity, then apply that mass to determine the weight on Planet X with the unknown gravity value.

Step-by-step explanation:

The weight of an astronaut on Planet X can be calculated using the formula W = mg, where m is the mass of the astronaut and g is the acceleration due to gravity on Planet X.

Firstly, we determine the mass of the astronaut on Earth using their given weight and Earth's known gravity (approximately 9.80 m/s²).
Weight on Earth = Mass × Gravity on Earth
1,407.0 N = Mass × 9.80 m/s²
Mass = 1407.0 N / 9.80 m/s²

We can use this same mass to determine the astronaut's weight on Planet X:
Weight on Planet X = Mass × Gravity on Planet X
To find the astronaut's weight on Planet X, we would need to know the value of g (acceleration due to gravity on Planet X).