Question

the weight of an object on the earths surface is 300N. when it is lifted to 3 times the height, its weight will become

Answer 1

The weight of the object when it is lifted to 3 times the height is 33.
`\overline 3` N

Step-by-step explanation:

The given parameters are;

The weight of the object on Earth, W = 300 N

The initial position of the object = On the surface of the Earth

Therefore;

The distance with which the weight is measured = The radius of the Earth, R

By Newton's Law of Gravitation, we have;

`W = G * (M * m)/(R^2)`

Where;

W = 200 N

G = The universal gravitational constant

M = The mass of the Earth

m = The mass of the object

When the height of the object = 3 × R, the weight of the object, W₂, is given as follows;

`W_2 = G * (M * m)/((3 * R)^2) = (1)/(9) * G * (M * m)/( R^2) = (1)/(9) * W = (1)/(9) * 300 N = 33.\overline 3 \ N`

Therefore, the weight of the object at 3 times the height, W₂ = 33.
`\overline 3` N