Calculating Final Speed of Sled with Bobsledders Jumping In

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The problem involves calculating the final speed of a bobsled after four bobsledders, each weighing 63 kg, jump in while the sled, initially at 210 kg and moving at 3 m/s, is pushed over a frictionless surface. Each bobsledder runs forward at a speed 2 m/s faster than the sled's current speed at intervals of 2 seconds before jumping in. The conservation of momentum equation is applied, where the initial momentum of the system equals the final momentum after all bobsledders have entered the sled. The calculation requires determining the correct number of increments for the speed increase as each bobsledder jumps in. The final speed of the sled can be derived from the total momentum before and after the bobsledders enter.
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Homework Statement


Four 63kg bobsledders psuh their sled which has a mass of 210kg when empty. They start to push over a flat frictionless surface at an initial speed of 3m/s. At intervals of 2s, each bobsledder sprints forwards at a speed of 2m/s faster than the sled's current speed and then jumps in.

What is the sled's final speed once everyone is in?


Homework Equations


p'=p


The Attempt at a Solution


m1v1=v(mtotal)
m1 is sled's mass.
 
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V = 3 + 2 + 2 + 2 + 2 + 2 + 2

I wrote down too many twos, how many?
 
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