The figure below shows a World War I cannon mounted on a railcar and set so that

Question

The figure below shows a World War I cannon mounted on a railcar and set so that it will project a shell at an angle of 29° above the horizontal. With the car initially at rest on a horizontal frictionless track, the cannon fires a 184-kg projectile at 136 m/s. (All values are for the frame of reference of the track.).

b) If the mass of the railcar plus cannon is 5200 kg, what will be the recoil velocity of the car along the track after the firing?
c) The shell is observed to rise to a maximum height of 209 m as it moves through its trajectory. At this point, its speed is 95.9 m/s. On the basis of this information, calculate the amount of thermal energy produced by air friction on the shell from the cannon's mouth to this maximum height.

Explanation / Answer

b) conservation of energy. 136*184*cos29=5200*v. so v=4.2(m/s) c_. conservation of energy Let A be energy that is reduced by friction. 184*136^2/2=A+184*95.9^2/2+184*9.8*209 so A=478656(J)

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