At a certain depth below Earth’s surface the acceleration due to gravity equals the…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

At a certain depth

d

below Earth’s surface the acceleration due to gravity equals the value obtained at an altitude

h

above the surface. If

d=200\,\text{km}

, calculate the corresponding altitude

h

. (a) Write down the relation for acceleration due to gravity at a depth

d

. (b) Write the expression for acceleration due to gravity at an altitude

h

. (c) By equating the two, determine

h

. Use

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