Question

The gravity on the moon is 1/6 as strong as that of earth.An object on earth weighs 1 Newton another object on the moon also weighs 1 Newton.Which of the two objects has the greater mass

Answer 1

The object on the moon has greater mass

Step-by-step explanation:

Given;

weight of the object on Earth, W₁ = 1 N

wight of the object on Moon, W₂ = 1 N

gravity on Earth, g₁ = 9.8 m/s²

gravity on the Moon, g₂ = g₁/6 = 1.633 m/s²

Apply Newton's second law of motion;

Weight of the object on Earth is given by;

W₁ = m₁g₁

m₁ = W₁/g₁

m₁ = 1 / 9.8

m₁ = 0.102 kg

Weight of the object on Moon is given by;

W₂ = m₂g₂

m₂ = W₂ / g₂

m₂ = 1 / 1.633

m₂ = 0.612 kg

Therefore, the object on the moon has greater mass.