Q7. A machine gun fires 240 bullets per minute with a velocity of 500 m/s. If the mass of each of the bullet is 5 x ten to the power seven kg, find the power of the gun.

 

Asked by sbidipak | 5th Jul, 2017, 07:31: PM

Expert Answer:

begin mathsize 12px style Power space of space the space machine space gun space is space the space rate space at space which space it space delivers space energy. space
Now comma space the space KE space of space the space bullets space is space the space energy space delivered.
Let space the space KE space of space each space bullet space be space apostrophe straight E subscript straight o apostrophe space
Rate space at space which space the space bullets space are space fired space from space the space gun space equals space dn over dt space equals space 240 space bullets divided by min space
On space converting space it space to space bullets space per space seconds space we space get space dn over dt space equals space 4 space bullets divided by second space
Thus comma space
Power space equals space straight E subscript straight o space dn over dt
We space know space that space straight E subscript straight o space equals space 1 half mv squared
Substituting space the space values space and space on space calculatein comma space we space get
straight E subscript straight o space equals space 6250 space straight J
therefore Power space equals space 6250 space straight J space cross times space 4 space equals space 25000 space straight W space equals space 25 space KW
end style

Answered by Yashvanti Jain | 6th Jul, 2017, 10:56: AM