Abattleship that is 6.00×107kg and is originally at rest fires a 1100-kg artillery shell horizontally with a velocity of 575 m/s. (a) if the shell is fired straight aft (toward the rear of the ship), there will be negligible friction opposing the ship’s recoil. calculate its recoil velocity. (b) calculate the increase in internal kinetic energy (that is, for the ship and the shell). this energy is less than the energy released by the gun powder—significant heat transfer occurs.

Part a)

v = 0.0105 m/s

Part b)

Explanation:

As per momentum conservation we know that

here we know

Part a)

now from above expression we can say

Part b)

Now increase in the internal energy of the system

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach