A mass weighs at some depth below Earth’s surface

PHYSICS · Single correct · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

5\,\text{kg}

mass weighs

46.55\,\text{N}

at some depth below Earth’s surface. Assuming

g = 9.8\,\text{m\,s}^{-2}

at the surface and

R = 6400\,\text{km}

, the depth is closest to (a)

160\,\text{km}

(b)

640\,\text{km}

(c)

320\,\text{km}

(d)

1280\,\text{km}