question_answer

Two bodies of same mass posses the same potential energy, when they are at a height of 'h' and '4h' on the surface of earth and an unknown planet respectively. What will be weight of a body on the unknown planet, if its weight of earth is 600 N.

Answer:

Earth Unknown planet

\[{{h}_{1}}=h\]	\[{{h}_{2}}=4h\]
\[P{{E}_{1}}=P{{E}_{2}}\]	\[{{W}_{1}}=600N\]
\[{{W}_{2}}=?\]	\[PE=mgh\]

\[=wh(\because w=mg)\Rightarrow {{w}_{1}}{{h}_{1}}={{w}_{2}}{{h}_{2}}\] \[{{w}_{2}}=\frac{{{w}_{1}}{{h}_{1}}}{{{w}_{2}}}=\frac{600\times h}{4h}=150N\] Weight of the body on the unknown planet is 150 N.