Please help. 18.An empty sled of mass M moves without friction across a frozen pond at speed vo. Twoobjects are dropped vertically into the sled one at a time: first an object of mass m andthen an object of mass 2m. Afterward the sled moves with speed vf. What would be thefinal speed of the sled if the objects were dropped into it in reverse order?A. 2vfB. 3vfC. vf/2D. Vf

Name: Please help. 18.An empty sled of mass M moves without friction across
Uploaded: 2024-03-20T06:57:37.000Z
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Description: Please help. 18.An empty sled of mass M moves without friction across a frozen pond at speed vo. Twoobjects are dropped vertically into the sled one at a time: first an object of mass m andthen an object of mass 2m. Afterward the sled moves with spee

Given:- An empty sled of mass M move with the speed of v0. The first object of mass m and the second object of mass 2m. these two objects drop the sled one at a time. first, drop an object of mass m and then drop the object of mass 2m and due to this, we get the final speed of the sled is vf. Find:- If we drop the object in the reverse order what is the final speed of the sled? A) 2vfB) 3vfC) vf2D) vfSolution:- We know that the law of conservation of momentum is given as Initial momentum = Final momentum We know the formula of momentum. p = mv where p is the momentum. m is the mass and v is the velocity. it means the momentum of the object depends on the mass and velocity of the object. it does not depend on the order of mass, it only depends on the total mass and velocity. We know that an empty sled of mass M move with the velocity v0.The initial momentum is given as pinitial = Mv0 Now We add a mass of empty sled of m and 2m and then the speed of the sled becomes vf after dropping the mass m and 2 m the final mass of the sled is M' as M' = 2m+m+MM' = 3m+M So final momentum is given as pfinal = 3m+Mvf if change the order of dropping the mass we first drop the mass 3m and then m, the final mass of the sled is the same, so the final velocity of the sled must be the same as the previous [vf]. it is not going to change. The final velocity of the sled is the same in both cases.The answer to this question is option D) "vf"