Q. The mass of a planet is $\frac{1}{10}$ th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is :
A) $4.9\,ms^{-2}$
B) $3.92\,ms^{-2}$
C) $19.6\,ms^{-2}$
D) $9.8\,ms^{-2}$
Explanation
[Solution by Claude - not from source] $g'=g\frac{M'}{M}\left(\frac{R}{R'}\right)^2=9.8\times\frac1{10}\times4=3.92$ m/s$^2$. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.