Because the Earth rotates about its axis, a point on the equator experiences a c

Question

Because the Earth rotates about its axis, a point on the equator experiences a centripetal acceleration of 0.033 7 m/s2, whereas a point at the poles experiences no centripetal acceleration. Assume the Earth is a uniform sphere and take g = 9.800 m/s2. a) If a person at the equator has a mass of 70.0 kg, calculate the gravitational force (true weight) on the person. (Give your answer to four significant figures.) (b) Calculate the normal force (apparent weight) on the person. (Give your answer to four significant figures.)

Explanation / Answer

a) m g = 70 * 9.8 = 686 N --------------------------------------------------------------------------------------------------------------------------------------------------------------------- b) N = m g - m a = 70 * 9.8 - 70 * 0.0337 = 684 N

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