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

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