An object weighs 432 N on the surface of the earth.The earth has radius R.If the object is raised to a height of 3R above the earth's surface,what is its weight?
A)108 N
B)48.0 N
C)27.0 N
D)305 N
E)144 N

Question

Quizplus · Accepted Answer

The weight of an object above the surface of the earth can be calculated using the formula:

Weight = (mass x gravitational acceleration) / (distance from center of earth)^2

Since the mass of the object is unknown, it can be cancelled out by dividing the weight at the surface of the earth by the weight at the new height:

Weight ratio = Weight at 3R / Weight at surface
= [(mass x gravitational acceleration) / (4R^2)] / [(mass x gravitational acceleration) / R^2]
= 1 / 16

Therefore, Weight at 3R = Weight at surface x (1/16)
= 432 N x (1/16)
= 27.0 N

Hence, the answer is option C) 27.0 N.

An Object Weighs 432 N on the Surface of the Earth.The