A 16.0-kg cannonball is fired from a cannon with muzzle speed of 800 m/s at an a

Question

A 16.0-kg cannonball is fired from a cannon with muzzle speed of 800 m/s at an angle of 32.0 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. Use the isolated system model to find the maximum height reached by each ball. = 12918.87 h_first ball Do not try to use equations involving projectile motion. This problem is much more straightforward to solve using energy conservation, m h_second ball = ____ m 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

m = 16kg, v = 800 m/s,

(a) h = (vsin(theta))^2/2g

hfirst ball = (800*sin(32))^2/(2*9.8)

hfirst ball = 9169 m

hsecond ball = (800*sin(90))^2/(2*9.8)

hsecond ball = 32653 m

(b) Efirst ball = mgh

E = 16*9.8*9169

Efirst ball = 1437699 J

Esecond ball = 16*9.8*32653

Esecond ball = 5119990 J

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