A 10-g projectile travels east at 20 m/s when it suddenly explodes into two piec

Question

A 10-g projectile travels east at 20 m/s when it suddenly explodes into two pieccs, fragment A 7 g, fragment B 3 g. Fragment A travels 30 degrees north of east at 10 m/s. The speed in m/s and direction of fragment B are, respectively 48, 14degrees S of E 60, 20degrees S of E 8,46degreeSofE 12,40degrees N of 48, 14degrees S of E 60, 20degrees S of E 8,46degreeSofE 12,40degrees N of E A ball that has mass m = 5 kg is twirled around in a circle at the end of a massless string of length 1 = 1. 5 m. While twirling it around, we pull on the string, shortening its length to 0. 5 m. The new rotational speed, in rev/s will be 3 6 9 18 A mass M is supported by a massless string that is wound a uniform cylinder of mass 2M and radius R. The - system is released from rest. The acceleration of the mass is g 2/3 g 1/2g depends on the radius, R

Explanation / Answer

mass = 5 kg

w1= 2 rev/s and r1 = 1.5 m

w2 = ??? and r2 = 0.5 m

Angular momentum is conserved, m r^2 w = constant

m1 r1^2 w1 = m2 r2^2 w2

(1.5)^2 * 2 = 0.5^2 * w2

w2= 18 rev/sec

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