QUESTION 5 An observer on the ground notices that a rocket of mass M is moving with a velocity V at a given instant. In a very small time dt, the rocket burns a small mass of fuel dm and ejects it backwards relative to the rocket at a speed ve. As a consequence, the mass of the rocket decreases and the velocity of the rocket changes by an amount dV. The increase in the forward momentum of the rocket is balanced exactly by the negative momentum carried by the exhaust gases so the observer on the ground does not see the momentum of the rocket-fuel system changing. What is the new momentum of the rocket (minus the ejected hot gases) relative to the observer on the ground? O dm (V- Ve) O (Ve Xdm) O M(Ve- V) O (M- dm)(V+ dV)

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Chapter1: Units, Trigonometry. And Vectors
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QUESTION 5
An observer on the ground notices that a rocket of mass M is moving with a
velocity V at a given instant. In a very small time dt, the rocket burns a small mass
of fuel dm and ejects it backwards relative to the rocket at a speed ve. As a
consequence, the mass of the rocket decreases and the velocity of the rocket
changes by an amount dV. The increase in the forward momentum of the rocket is
balanced exactly by the negative momentum carried by the exhaust gases so the
observer on the ground does not see the momentum of the rocket-fuel system
changing. What is the new momentum of the rocket (minus the ejected hot gases)
relative to the observer on the ground?
dm (V- Ve)
(Ve )(dm)
M(Ve-V)
O(M-dm)(V+ dV)
Transcribed Image Text:QUESTION 5 An observer on the ground notices that a rocket of mass M is moving with a velocity V at a given instant. In a very small time dt, the rocket burns a small mass of fuel dm and ejects it backwards relative to the rocket at a speed ve. As a consequence, the mass of the rocket decreases and the velocity of the rocket changes by an amount dV. The increase in the forward momentum of the rocket is balanced exactly by the negative momentum carried by the exhaust gases so the observer on the ground does not see the momentum of the rocket-fuel system changing. What is the new momentum of the rocket (minus the ejected hot gases) relative to the observer on the ground? dm (V- Ve) (Ve )(dm) M(Ve-V) O(M-dm)(V+ dV)
QUESTION 7
Object 1 of mass m and initial velocity vi1 = î vx bounces off a wall with a velocity
%3D
Ve1 = - î Vx. Object 2, also of mass m and the same initial velocity as object 1 strikes
the wall but sticks to it so its final velocity 0. Which statement below is correct?
O Object 2 has a larger change in momentum than object 1.
OImpulse felt by object 1 is more than the impulse felt by object 2.
Both objects have the same change in momentum.
Both particles have undergone an inelastic collision with the wall.
Transcribed Image Text:QUESTION 7 Object 1 of mass m and initial velocity vi1 = î vx bounces off a wall with a velocity %3D Ve1 = - î Vx. Object 2, also of mass m and the same initial velocity as object 1 strikes the wall but sticks to it so its final velocity 0. Which statement below is correct? O Object 2 has a larger change in momentum than object 1. OImpulse felt by object 1 is more than the impulse felt by object 2. Both objects have the same change in momentum. Both particles have undergone an inelastic collision with the wall.
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