13. A stationary shell explodes into three pieces as shown in the figure. What is the speed of each of the 2.0-kg fragments if the speed of the 3.0-kg fragment is 10.0 m/s? a. 7.5 m/s b. 3.8 m/s c. 8.3 m/s d. 5.0 m/s 1.2 m/s 3kg 25 25 2kg 2kg Are u sure 8.3 is right, that answer does not make sense to me, can u please show step by step Thus, Option (c) ;- 8.3 m/s is correct Explanation: Solution: Given, masses, m = 3kg and initially, u = u = u3 = 0 m2 = m3 = 2kg final speed of 3 kg fragment, Vly = 10.0 S Let speed of each of the 2.0 kg is "v". By Conservation of momentum, or (in horizontal direction) mu+m2u2+ m3u3 = mV1x + m2v2cos 25+m3(-vcos 25) 0+0+0=0+0 [since m2 = m3 and V2 V3 = v] or 0 = 0 For vertical direction, or or or or or 0mvly+m2(-v2sin 25) + m3(-v3sin 25) 0 3 x 10-2 v0.906 2 x V x 0.906 0 30 3.624v = 3.624v = 30 30 v= 3.624 = 8.278 v = 8.3m S Thus, Option (c) 8.3 m/s is correct, ANSWER.