A 24.0-kg cannonball is fired from a cannon with muzzle speed of 950 m/s at an a

Question

A 24.0-kg cannonball is fired from a cannon with muzzle speed of 950 m/s at an angle of 40.0° with the horizontal. A second ball is fired with the same initial speed at an angle of 90.0°. Let y = 0 at the cannon.

Use the isolated system model to find the maximum height reached by each ball.

H second ball = ? m

(b) Use the isolated system model to find the total mechanical energy of the ball

H second ball = ? m

(b) Use the isolated system model to find the total mechanical energy of the ball

Explanation / Answer

maximum height,

for first ball; vertical component of speed = 950sin(40) , [ because only the vertical component of speed will contribute in attaining height]

height for first ball=(950sin40)2/(2*9.81) = 19005.7 m

for second ball, vertcal component of speed = 950 m/s

height for first ball=(950)2/(2*9.81) = 45998.9 m

2) tota mechanical enegy for both balls at maximum height is sameat the total initial machenical energy

total machenical energy of first ball = 0.5*m1*speed12= 10830000 J

total machenical energy of second = 0.5*m1*speed12= 10830000 J

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