Physics

Problem

A climber carries a

10\,\text{kg}

backpack to the top of a mountain

3\,\text{km}

above sea level. Take Earth’s radius

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

and

g=9.8\,\text{N kg}^{-1}

at sea level. a. (i) Calculate the gravitational field strength

g^{\prime}

at the mountain top. b. (ii) Hence determine the weight of the backpack at the summit.