Problem 6.22 In the figure below each mass is 2.00 kg (Figure 1) Part A Find the

Question

Problem 6.22 In the figure below each mass is 2.00 kg (Figure 1) Part A Find the magnitude of the net gravitational force on mass A due to masses B and C in diagram (a) of the figure. Express your answer in newton?s to two significant figures. Part B Find the direction of the net gravitational force on mass A due to masses B and C in diagram (a) of the figure. To the left To the right Part C Find the magnitude of the net gravitational force on mass A due to masses B and C in diagram (b) of the figure.

Explanation / Answer

rac = distance between A and C = 10 cm = 0.10 m

rab = distance between A and B = 50 cm = 0.50 m

Force on A by C is given as ::

Fac = G ma mb / (rac )2

Fac = (6.67 x 10-11) (2) (2) / (0.1)2

Fac = 2.668 x 10-8 N    towards right

Force on A by B is given as ::

Fab = G ma mb / (rab )2

Fab = (6.67 x 10-11) (2) (2) / (0.5)2

Fab = 0.107 x 10-8 N    towards right

net force on A

Fab + Fac = 2.668 x 10-8 + 0.107 x 10-8 = 2.775 x 10-8 N

Part B :

Towards right

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