The figure below shows an overhead view of three particles on which external for

Question

The figure below shows an overhead view of three particles on which external forces act. The magnitudes and directions of the forces on two of the particles are indicated 4I 5 N 2 3N (a) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is stationary? 2 N, rightward O 2 N, leftward O 8 N, rightward O 8 N, leftward (b) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-partidle system is moving at a constant velocity rightward? O 2 N, rightward O 2 N, leftward 8 N, rightward 8 N, leftward (c) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is accelerating rightward? O less than 2 N, rightward O less than 2 N, leftward O greater than 2 N, rightward O greater than 2 N, leftward

Explanation / Answer

Fnet = 0 for to be stationary.

Fnet = 3 + (-5) + F3 = 0

F3 = 2 N

Ans: 2 N right ward  

(b) center of mass moving with constant velocity means a = 0

Fnet = m a = 0

Ans: 2 N rightward

(c) Fnet = m a > 0

so 3 + (-5) + F3 > 0

F3 > 2

Ans: greater than 2N, rightward

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