A 2.0-kg cart and an 8.0-kg cart are connected by a relaxed, horizontal spring o

Question

A 2.0-kg cart and an 8.0-kg cart are connected by a relaxed, horizontal spring of spring constant300 N/m. You pull the 8.0-kg cart with some constant horizontal force. The separation between the carts increases for a short time interval, then remains constant as you continue to pull and the spring is stretched by 0.100 m.

Part A

What pulling force did you exert? Assume that the direction of your pull is the positive direction.

Part B

If you instead pull the 2.0-kg cart, what force must you exert to get the same stretch in the spring? Assume that the direction of your pull is the positive direction.

Explanation / Answer

a)Let the force be F and the tension in the spring be T

T=kx=300*0.1=30N

a=30/2=15m/s^2

F=(m+M)a=10*15=150N

b)T=30N

a=30/8=3.75m/s^2

F=3.75*10=37.5N

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