1)A rocket expels gas at high speed for a short period of time. We are going to treat the rocket as being far away from any gravitational objects.a)Draw a momentum chart for the rocket expelling gas in space.Take the initial time before expelling gas and the final time after the rocket has finished expelling gas. The rocket has an initial constant speed.Put the rocket and the expelled gas on separate rows.b)Use your chart to explainhow the speed of the rocket changes. c)Does the rocket have to keep expelling gas to stay at a constant speed

b) The speed of the rocket changes because Momentum is conserved because with the law of conservation in mind mass is reduced thereby causing increase in speed

c) The rocket does NOT have to keep expelling gas to stay at a constant speed because On the account of maintaining speed the Rocket need not expel gas as that will only increase speed and not maintain it

a)

Let

Mass =m

Time t

Generally, the equation for mass ejection constant is mathematically given by

[tex]\phi=\frac{d_m}{d_t}[/tex]

Therefore

[tex]m=m_0-\phi t[/tex]

where

[tex]m_0=initial\ mass[/tex]

Apply the law of conservation of momentum which states that

Conservation of momentum, states that momentum can neither be lost nor gained in an isolated system

[tex]m_o\mu=mv[/tex]

[tex]v=\frac{m_0u}{m_0-dt}[/tex]

b)

Momentum is conserved because with the law of conservation in mind mass is reduced thereby causing increase in speed

c)

On the account of maintaining speed the Rocket need not expel gas as that will only increase speed and not maintain it.Therefore the answer is NO

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