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3) Three identical very dense masses of 3700 kg each are placed on the x axis....

3) Three identical very dense masses of 3700 kg each are placed on the x axis. One mass is at x1 = -100 cm , one is at the origin, and one is at x2 = 340 cm .

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 = 6.67×10−11 N⋅m2/kg2 .

Express your answer in newtons to three significant figures.

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Answer #1

Mass of each object = m = 3700 kg

Distance of object 1 from the mass at origin = d1 = 100 cm = 1 m

Distance of object 2 from the mass at origin = d2 = 340 cm = 3.4 m

Gravitational constant = G = 6.67 x 10-11 N.m2/kg2

Gravitational force due to object 1 on mass at origin = F1

Gravitational force due to object 2 on mass at origin = F2

Net force on the mass at origin = F

F = 8.341 x 10-4 N

Magnitude of net gravitational force on the mass at origin due to the other two masses = 8.341 x 10-4 N

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