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Three identical masses of 340 kg each are placed on the xaxis. One mass is at x

ID: 1729564 • Letter: T

Question

Three identical masses of 340 kg each are placed on the xaxis. One mass is at x1=-12.0 cm, one is at the origin,and one is at x2=30.0 cm. A.) What is the magnitude of the net gravitational forceFgrav on the mass at the origin due to the other twomasses? (Take the gravitational constant to beG=6.67x10-11 Nm2/kg2) Express theanswer in Newtons. B.)Is the direction of the net gravitational force on the massat the origin due to the other two masses in the positive ornegative x direction. Three identical masses of 340 kg each are placed on the xaxis. One mass is at x1=-12.0 cm, one is at the origin,and one is at x2=30.0 cm. A.) What is the magnitude of the net gravitational forceFgrav on the mass at the origin due to the other twomasses? (Take the gravitational constant to beG=6.67x10-11 Nm2/kg2) Express theanswer in Newtons. B.)Is the direction of the net gravitational force on the massat the origin due to the other two masses in the positive ornegative x direction.

Explanation / Answer

A) force on the mass at the origin due to the mass at x=30cm is: F1=Gm1m2/r2=6.67*10-11*340*340/0.32=8.567*10-5N. force on the mass at the origin due to the mass at x=-12cm is: F2=Gm1m2/r2=6.67*10-11*340*340/0.122=53.54*10-5. net force on it is(8.567-53.54)*10-5=44.973*10-5N.            (as both the force are in opposite direction.) B) the direction of the net force is in -ve x axis.

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