A spring balance reads when a body is weighed at sea level and when the same body is…

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

A spring balance reads

98\,\text{N}

when a body is weighed at sea level and

90\,\text{N}

when the same body is weighed at an altitude

h

. Assume Earth’s radius

R_{\mathrm E}=6.4\times10^6\,\text{m}

and neglect Earth’s rotation. (i) Find the acceleration due to gravity

g^{\prime}

at altitude

h

. (ii) Calculate the altitude

h

(in km, correct to one decimal place).