Newton’s 3rd law task?

Two people (m1=60 kg, m2=90 kg) are standing in inflatable boats. They are holding the ends of a long, massless rope. The boats are initially resting on a lake at positions Xa=100 m and Xb=400 m. Now both begin pulling in the rope. State the location where both will collide. Friction is neglected, as is the size of the boats.

Does anyone have an idea? I know they exert the same force on each other, but the heavier person travels a shorter distance.

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Wechselfreund
2 years ago

s = 1/2 a t2 (if you apply constant force)

a1 = F/m1

a2 = F/m2

Form and shorten the quotients of s1 and s2.

Wechselfreund
2 years ago
Reply to  LisJo

The distance sections of the 300 m behave like the masses.

tunik123
2 years ago

Due to the pulse retention set, the common center of gravity of the boats does not move. The boats therefore meet in the center of gravity.

The distance of the boats is 300 m. The heavy boat has the distance 60/150 * 300 m = 120 m, the light 90/150 * 300 m = 180 m.

tunik123
2 years ago
Reply to  LisJo

Yes, if the light boat starts at 100 m and the heavy one at 400 m.