Question

An object of mass 100 kg falls from point A to B as shown in figure. The change in its weight, corrected to the nearest integer is ($R_E$ is the radius of the earth):

• A. 49 N
• B. 89 N
• C. 5 N
• D. 10 N

Answer 1

The Correct Option is A

\(Mg' = Mg \frac{R^2}{(R+h)^2}\)

\(Mg' = Mg \frac{R^2}{(R+2R)^2} = \frac{Mg}{9}\)

\(Mg' = Mg \frac{R^2}{(R+\frac{3}{2}R)^2} = \frac{Mg}{25}\)

\(Mg \left( \frac{4}{25} - \frac{1}{9} \right) = 49 \, \text{N}\)