Three identical very dense masses of 7100 kgeach are placed on the x axis. One m

Question

Three identical very dense masses of 7100 kgeach are placed on the x axis. One mass is at x1= -100 cm , one is at the origin, and one is at x2 = 390 cm .

Part A

What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses?

Take the gravitational constant to be G = 6.67×1011 Nm2/kg2 .

Express your answer in Newtons.

Part B

What is the direction of the net gravitational force on the mass at the origin due to the other two masses?

+x direction or -x direction?

Explanation / Answer

here,

mass , m = 7100 kg

x1 = - 100 cm

x1 = -1 m

x2 = 390 cm

x2 = 3.9 m

A)

the magnitude of the net gravitational force , F = G*m*m/x1^2 - G*m*m/x2^2

F = 6.67*10^-11 * 7100^2 * ( 1/1^2 - 1/3.9^2)

F = 3.14 * 10^-3 N

the magnitude of the net gravitational force on the mass at origin is 3.14 * 10^-3 N

(b)

the direction of the net gravitational force on the mass at the origin due to the other two masses is towards - x direction

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