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Three uniform spheres are fixed at the positions shown in

Chapter 13, Problem 43P

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QUESTION:

Three uniform spheres are fixed at the positions shown in Fig. P13.43. (a) What are the magnitude and direction of the force on a 0.0150-kg particle placed at P? (b) If the spheres are in deep outer space and a 0.0150-kg particle is released from rest 300 m from the origin along a line 45o below the – x-axis, what will the particle’s speed be when it reaches the origin?

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QUESTION:

Three uniform spheres are fixed at the positions shown in Fig. P13.43. (a) What are the magnitude and direction of the force on a 0.0150-kg particle placed at P? (b) If the spheres are in deep outer space and a 0.0150-kg particle is released from rest 300 m from the origin along a line 45o below the – x-axis, what will the particle’s speed be when it reaches the origin?

ANSWER:

Step 1 of 2 a) The net gravitational force will be in the direction 45 from the x axis directing, with magnitude F = 6.67 × 10 11N.m /kg × 0.0150 kg[ 2 kg + 2 1 kg sin 45 ] 2×(0.50 m) (0.50 m) 12 = 9.67 × 10 N

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