Answer:
The acceleration due to gravity of Planet X is 23.16 m/s² ⇒ 3rd answer
Step-by-step 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