A 90-kilogram physics student would weigh 2970 Newtons on the surface of planet X. What is the magnitude of the acceleration due to gravity on the surface of planet X?
M * g = 2970 N.
M = 90 kg
Solve for g.
To find the magnitude of the acceleration due to gravity on the surface of planet X, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by the acceleration it experiences.
In this case, the force acting on the physics student is the weight, which is given as 2970 Newtons. The mass of the student is given as 90 kilograms.
Using the formula F = m * a, we can rearrange it to solve for the acceleration:
a = F / m
Substituting the values given:
a = 2970 N / 90 kg
Calculating this, we find:
a ≈ 33 m/s²
Therefore, the magnitude of the acceleration due to gravity on the surface of planet X is approximately 33 m/s².