Question

Q6
Q.6. Consider a heavenly body which has a mass twice that of the earth and a radius thrice that of the earth. What will be the weight of the body On this heavenly body?

Answer 1

Dear Student,

$$\begin{gathered} \frac{{\mathrm{W}}_{\mathrm{heavenly}\mathrm{body}}}{{\mathrm{W}}_{\mathrm{E}}}=\frac{{\mathrm{M}}_{\mathrm{heavenly}\mathrm{body}}}{{\mathrm{M}}_{\mathrm{E}}}\times {\left[\frac{{\mathrm{R}}_{\mathrm{E}}}{{\mathrm{R}}_{\mathrm{heavenly}\mathrm{body}}}\right]}^2 \\ \frac{{\displaystyle {\mathrm{W}}_{\mathrm{heavenly}\mathrm{body}}}}{{\displaystyle {\mathrm{W}}_{\mathrm{E}}}}=\frac{2{\mathrm{M}}_{\mathrm{E}}}{{\mathrm{M}}_{\mathrm{E}}}\times {\left[\frac{{\mathrm{R}}_{\mathrm{E}}}{3{\mathrm{R}}_{\mathrm{E}}}\right]}^2 \\ \frac{{\displaystyle {\mathrm{W}}_{\mathrm{heavenly}\mathrm{body}}}}{{\displaystyle {\mathrm{W}}_{\mathrm{E}}}}=\frac{2}{9} \end{gathered}$$