An initially stationary railroad gun of mass M fires a shell of mass m at an ang
ID: 3307446 • Letter: A
Question
An initially stationary railroad gun of mass M fires a shell of mass m at an angle. After the firing is complete, the final speed of the shell measured relative to the gun and to the ground is as follows Relative to the gun: the speed of the shell (muzzle velocity) is to and it makes an angle of with respect to the horizontal. Relative to the ground (shown in the figure below): the speed of the shell is vp and it makes an angle with respect to the horizontal. The gun recoils with speed vr V. What are ur and tan ? Write your answers using some or all of the following: v-0 for vo-theta for , M, and m. Do not write your answer in terms of vp tan =Explanation / Answer
Just use the formula:
Recoil Velocity of a gun Vr = m Vo cos (M + m)
where m is the mass of the shell, v0 is the velocity of the shell, and M is the mass of the gun.
After inputting the parameters given in the question, the recoil velocity Vr can easily be calculated.
Similarly,
tan = [ (M+m) VoSin / MVo Cos ]
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