A 19.0-kg cannonball is fired from a cannon with muzzle speed of 850 m/s at an a

Question

A 19.0-kg cannonball is fired from a cannon with muzzle speed of 850 m/s at an angle of 38.0 degree with the horizontal. A second ball is fired with the same initial speed at an angle of 90.0 degree. Let y = 0 at the cannon. (a) Use the isolated system model to find the maximum height reached by each ball. h_first ball = m h_second ball = m (b) Use the isolated system model to find the total mechanical energy of the ball-Earth system at the maximum height for each ball. E_first ball = J E_second ball = J

Explanation / Answer

a)

first ball

Hmax = (850 sin38 )^2 / 2g

Hmax = 13972.23 m

second ball

Hmax = 850^2/2g

Hmax = 36862.2449m

b)

For both balls energy will be same as they are projected with same speed

Energy = 0.5 m V^2 = 6863750 J

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