JEE PYQ: Gravitation Question 30
Question 30 - 2020 (07 Jan Shift 2)
A box weighs 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take $g = 10$ ms$^{-2}$ at the north pole and the radius of the earth $= 6400$ km):
(1) 195.66 N
(2) 194.32 N
(3) 194.66 N
(4) 195.32 N
Show Answer
Answer: (4)
Solution
$m = 19.6$ kg. At equator: $W = m(g - \omega^2 R) = 19.6\left(10 - \left(\frac{2\pi}{86400}\right)^2 \times 6.4 \times 10^6\right) = 19.6(10 - 0.034) \approx 195.33$ N.
BETA
