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In the Cavendish balance apparatus shown in the figure below, suppose that m 1 =

ID: 1352894 • Letter: I

Question

In the Cavendish balance apparatus shown in the figure below, suppose that m1 = 1.15 kg, m2 = 24.9 kg, and the rod connecting the pairs is 29.4cm long.

(a) If, in each pair, m1 and m2 are 12.1 cm apart, find the net force.
N

(b) If, in each pair, m1 and m2 are 12.1 cm apart, find the net torque (about the rotation axis) on the rotating part of the apparatus.
N · m

(c) Does it seem that the torque in part (b) would be enough to easily rotate the rod?

Yes or No     


Suggest some ways to improve the sensitivity of this experiment.

Explanation / Answer


a. Net Force F = Gm1m2/r^2

F = 6.67 e -11 *1.15 * 24.9./(0.121* 0.121)

F = 1.304 e -7 N

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Torque T = F x r


T = 1.304 e -7 * ( 0.294/2)

T = 1.91 e -8 N m

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No torques is very less,