A skater embeds a firecracker in large snowball and pushes it across a frozen po

Question

 A skater embeds a firecracker in large snowball and pushes it across a frozen pond at 7.6 m/s. The firecracker explodes, breaking the snowball into two equal-mass chunks. One chunk moves off at 9.3 m/s at 19

Explanation / Answer

Let mass of snow ball = m After the explosion mass of chunks = m/2 According to conservation of momentum we have           m u = (m /2) v1 cos1 + (m / 2) v2cos2 ==> v2 cos2 = 2 * 7.6 -9.3 * cos19 ==> v2 cos2 = 15.2 -8.793 = 6.406        .....1 and              (m/2)v1 sin1 = (m/2) v2sin2               ==> v2 sin2 = 9.3 * sin19 = 3.027 ...2 from eq 1 and 2 we have           tan2 = 0.4726       ==> 2 = 25.29o from 1 we have              v2 = 6.406 / cos25.29 = 7.0855m/s

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