Kg m/s Change in Momentum of Trolley

AI Thread Summary
A 2.4kg cart moving at 2m/s experiences a change in momentum when a 1.5kg object is dropped onto it. The initial momentum of the cart is calculated as 4.8 kg·m/s, while the final momentum must consider the new mass and speed after the object lands. Momentum conservation principles indicate that the cart's speed will decrease due to the added mass, resulting in a negative change in momentum. The final calculations yield a change of -1.8 kg·m/s, which is correct as it reflects the cart slowing down. This highlights the importance of understanding momentum conservation during collisions.
dh743
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Homework Statement


A 2.4kg cart is moving with a constant speed of 2m/s along a smooth horizontal plane when a 1.5kg object is dropped vertically onto it. What is the change in momentum of the trolley?


Homework Equations


p=mv
\Deltap=p final - p initial


The Attempt at a Solution


\Deltap=p final - p initial
=7.8 - 4.8
=3
 
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So what is the problem with this one? Seems perfectly ok to me.
 
You need to find the momentum of the cart before and after the object drops onto it. You have the cart's speed before the collision, so you can find its initial momentum. But what is its speed after the collision?

Hint: What's conserved during any collision?
 
substance90 said:
So what is the problem with this one? Seems perfectly ok to me.
the answer I've got is 1.8
 
Doc Al said:
You need to find the momentum of the cart before and after the object drops onto it. You have the cart's speed before the collision, so you can find its initial momentum. But what is its speed after the collision?

Hint: What's conserved during any collision?

Thanks for your help but i ended up with the correct answer but negative (-1.8). Would this be correct in this situation? I would have thought an increase in mass (the object) would mean an increase in momentum.
 
dh743 said:
Thanks for your help but i ended up with the correct answer but negative (-1.8). Would this be correct in this situation?
That happens to be correct, but how did you arrive at this answer?

I would have thought an increase in mass (the object) would mean an increase in momentum.
Does the cart speed up or slow down?
 
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