JEE Mains · Physics · STD 11 - 7. gravitation
A body weights \(49\,N\) on a spring balance at the north pole. ..... \(N\) will be its weight recorded on the same weighing machine, if it is shifted to the equator? (Use \(g=\frac{G M}{R^{2}}=9.8 \,ms ^{-2}\) and radius of earth, \(R =6400\, km .]\)
- A \(49\)
- B \(48.83\)
- C \(49.83\)
- D \(49.17\)
Answer & Solution
Correct Answer
(B) \(48.83\)
Step-by-step Solution
Detailed explanation
Weight of pole \(= mg =49 \,N\) At equator due to rotation \(= g _{ e }= g - R \omega^{2}\) so \(W = mg _{ e }= m \left( g - R \omega^{2}\right)\) \(\therefore W _{ P } > W _{ e } \quad W _{ P }=49 \,N\) So, \(W _{ e }=48.83\, N . \quad W _{ e }<49 \,N\)
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