Two children on ice skates pull toward each other on a rope held taut between th

Question

Two children on ice skates pull toward each other on a rope held taut between them. The inertia of one child is 32kg, and the inertia of the other is 25kg.

Part A

If at one instant the 32kg child is accelerating at 1.5 m/s^2 to the left, what is the acceleration of the 25kg child at that instant?

Part B

What happens to each acceleration is the 25kg child stops pulling and just hangs on?

a) Both accelerations would decrease.

b)both accelerations would increase.

c)the acceleration of 32kg child would increase and the accelerqtion of 25kg child would decrease.

d)The acceleration of 32kg child would decrease and the acceleration of 25 kg child would increase.

a) Both accelerations would decrease.

b)both accelerations would increase.

c)the acceleration of 32kg child would increase and the accelerqtion of 25kg child would decrease.

d)The acceleration of 32kg child would decrease and the acceleration of 25 kg child would increase.

Explanation / Answer

the centre of mass remains constant so

32*1.5+25*a/32+25=0

a=-1.92m/s

acceleration is 1.92 m/s to right

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