Question

A 91 kg man weighs himself at the north pole and
at the equator. Assume the Earth is a perfectly
spherical. Which scale reading is higher? By how much?

Answer 1

Answer:

The scale at the North Pole is higher by 3.1 N.

Explanation:

The scale at the equator has a centripetal acceleration unlike the North Pole. So, finding acceleration at the equator from centripetal force,

(mv^2)/r = mg

v^2/r=g

463 m/s ^2 / 6378100 m = g

g = 0.0336

then multiply by the mass, 91 kg,

you'll get the difference of 3.06 or 3.1 rounded.