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

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

explanation:

the masses of the objects and the distance between them

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.