Two friends are standing on opposite ends of a canoe that is initially at rest with respect to a frictionless lake. the person in the front throws a very massive ball toward the back, and the person in the back catches it. after the ball is caught the canoe is

Here we can say that the momentum of the system will remain conserved

As here we can see that there is no external force in horizontal direction

so here we can say that

As the person in front throw the ball towards back the canoe will start moving forward direction so that momentum of the system will remain conserved

now after this we can say momentum of ball + canoe + two friends = 0 always

now when the person at the back of the canoe will catch the ball then again due to the concept of momentum conservation we can say that the whole system will again comes to rest

so the canoe will become at rest after the person at the back will catch the ball

ill do it for 100, also this isnt 80 its 40

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.