If a person weighs 900 N on Earth, then that same person is recorded to weigh 2125 N on Planet X, what is the acceleration due to gravity of Planet X? 40.98 m/s^2

5.78 m/s^2

23.16 m/s^2

33.09 m/s^2

The acceleration due to gravity of Planet X is 23.16 m/s² ⇒ 3rd answer

Explanation:

A person weighs 900 N on Earth

Same person is recorded to weigh 2125 N on Planet X

The mass of the person is the same on Earth and on the Planet X

The weight is the product of the mass and acceleration

We know the acceleration of gravity on Earth is 9.81 m/s², then we can

find the mass of the person

→ Weight = mass * acceleration

→ The weight of the person on Earth = 900 Newtons

→ The acceleration of gravity on Earth = 9.81 m/s²

Substitute these values in the rule above

→ 900 = mass * 9.81

Divide both sides by 9.81

→ mass = 91.74 kilograms

The mass of the person is 91.74 kilograms

Now lets find the acceleration on Planet X

→ Weight = mass * acceleration

→ The weight of the person on Planet X = 2125 Newtons

→ The mass of the person = 91.74 kilograms

Substitute these values in the rule above

→ 2125 = 91.74 * acceleration

Divide both sides by 91.74

→ acceleration = 23.16 m/s²

The acceleration due to gravity of Planet X is 23.16 m/s²