Question

A object weighs 80 N. Its weight at a distance 2R from the center of the Earth is:

a) 20 N
b) 40 N
c) 160 N
d) 320 N

Answer 1

The weight of the object at a distance 2R from the center of the Earth is 79.97 N.

Step-by-step explanation:

When an object weighs 80 N at a distance 2R from the center of the Earth, its weight can be calculated using the formula:

Weight = Mass x Gravitational Force

The gravitational force on Earth is 9.8 N/kg, so the weight of the object is:

Weight = Mass x 9.8 N/kg

Since we know the weight is 80 N, we can substitute it into the equation:

80 N = Mass x 9.8 N/kg

Solving for mass:

Mass = 80 N / 9.8 N/kg

Mass = 8.16 kg

Therefore, the weight of the object at a distance 2R from the center of the Earth is:

Weight = Mass x Gravitational Force

Weight = 8.16 kg x 9.8 N/kg

Weight = 79.97 N