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A 21.5 kg cannon ball is fired from a cannon with muzzle speed of 910 m/s at an

ID: 1365862 • Letter: A

Question

A 21.5 kg cannon ball is fired from a cannon with muzzle speed of 910 m/s at an angle of 25° with the horizontal. Use 10 N/kg for g.

a) With what kinetic energy in Joules does the cannon ball leave the cannon?

b) What is in m/s the horizontal component of the velocity of the cannon ball as it leaves the cannon?

c) What is in Joules, the kinetic energy of the ball when it is at its top most position?

d) What is in Joules, the mechanical energy of the ball when it is at its top most position?

e) Use conservation of mechanical energy to find the maximum height in meters reached by the cannon ball.

Explanation / Answer

a) 8902075 Joule
b) V*Cos(25)= 824.74 m/sec
c) 7312109.255 Joule
d) 1589965.745 Joule
e) 7538.419 meter

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