Recall that weight is a force and is equal to m*g, where g is the acceleration due to gravity exerted by the Earth near the Earth's surface. The acceleration due to gravity exerted by the moon near the moon's surface is 16.6% that of Earth. What is the weight (in N) of a person with a mass of 76.5 kg on the moon

Respuesta :

Answer:

W of the person in moon  ≈ 124.70 N

Explanation:

Weight: Weight of a body can be defined as the product of mass and the gravitational acceleration of the body. The S.I unit of weight is  Newton (N). It can be expressed mathematically as

W = mg

Where W = weight of the body, m = mass of the body (kg) and a = acceleration of the body (m/s²)

Weight(W) = Mass (m) × Acceleration due to gravity (g)

∴ W = m × g.

If the person is on the moon,

Mass = 76.5 kg.

g (moon) = 16.6% of g ( earth)

But g(earth) = 9.80 m/s².

∴ g (moon) = 9.80 × (16.6/100)

 g (moon) = 1.63 m/s², m = 76.5 Kg

∴ Weight of the person in moon = 76.5 × 1.63 =124.695 N

   W of the person in moon  ≈ 124.70 N