- #1

songoku

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- 331

- Homework Statement
- A trolley has cylinder on top of it and inside the cylinder there is oxygen gas. The trolley and cylinder has mass of 0.68 kg and the initial mass of oxygen is 12 g. Calculate the average ejection speed of the oxygen gas if the maximum speed of trolley + cylinder is 2.7 m/s

- Relevant Equations
- Conservation of momentum

I assume the system starts from rest so the total initial momentum is zero.

Let:

M = mass of trolley + cylinder

m = initial mass of oxygen

Δm = mass of ejected oxygen

u = speed of ejected oxygen

Conservation of momentum:

0 = (M + m - Δm) . v

1) Is my equation correct?

2) I suppose I need to assume u is constant?

3) Do I need to know u to answer this question?

4) Is it correct that the question asking to find ##\frac{\Delta m}{\Delta t}##

Thanks

Let:

M = mass of trolley + cylinder

m = initial mass of oxygen

Δm = mass of ejected oxygen

u = speed of ejected oxygen

Conservation of momentum:

0 = (M + m - Δm) . v

_{max}- u . Δm1) Is my equation correct?

2) I suppose I need to assume u is constant?

3) Do I need to know u to answer this question?

4) Is it correct that the question asking to find ##\frac{\Delta m}{\Delta t}##

Thanks