Calculating Final Speed of Sled with Bobsledders Jumping In

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SUMMARY

The final speed of the sled with four bobsledders jumping in can be calculated using the principle of conservation of momentum. The initial mass of the sled is 210 kg, and each bobsledder weighs 63 kg, resulting in a total mass of 210 kg + (4 * 63 kg) = 462 kg. The initial speed of the sled is 3 m/s, and each bobsledder increases their speed by 2 m/s relative to the sled's current speed at intervals of 2 seconds. The final speed of the sled, once all bobsledders are in, is determined to be 5 m/s.

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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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