Four uniform spheres

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Four uniform spheres, with masses

m_A = 40\text{ kg}

m_B = 35\text{ kg}

m_C = 200\text{ kg}

, and

m_D = 50\text{ kg}

, have

(x, y)

coordinates

(0, 50\text{ cm})

(0, 0)

(-80\text{ cm}, 0)

and

(40\text{ cm}, 0)

respectively. In unit-vector notation, what is the net gravitational force on sphere B due to the other spheres? (A)

(2.6 \times 10^{-7}\text{ N})\hat{j}

(B)

(7.1 \times 10^{-7}\text{ N})\hat{j}

(C)

(3.7 \times 10^{-7}\text{ N})\hat{j}

(D)

(4.9 \times 10^{-7}\text{ N})\hat{j}