To stay in practice, the Los Angeles Dodges pitcher Clayton Kershaw always throw

Question

To stay in practice, the Los Angeles Dodges pitcher Clayton Kershaw always throws globs of putty shaped liked baseballs to open doors. He keeps all the doors around his house unlatched. A baseball weighs about 150 g and Clayton throws the globs at 30 m/s. His doors are 1 m wide and 15 kg.

Assuming he always hits the edge of the door farthest from the hinge, how long does it take the door to open fully (90 degrees) (Assume the door acts like a rod rotating around it's hinge (I=1/2ml^2)

Please have explanantion

Explanation / Answer

conservation of angular momentum

m v r = (I + mr^2) w

.15*30*1 = (1/2*15*1^2 + .15*1^2)*w

w=0.588 rad/s

so w = theta/t

t = (pi/2)/0.588= 2.67 s

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