A point mass is located at the origin

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A point mass

m

is located at the origin. Two other fixed masses are positioned at

(0,\,d)

with mass

4m

and at

(d,\,0)

with mass

3m

. What is the magnitude of the net gravitational force on the mass at the origin in terms of

G

m

, and

d

? (a)

\dfrac{7Gm^{2}}{d^{2}}

(b)

\dfrac{5Gm^{2}}{d^{2}}

(c)

\dfrac{7Gm^{2}}{2d^{2}}

(d)

\dfrac{25Gm^{2}}{d^{2}}