ION CAPA Explosion × 0 Chegg Study Guded Sola + v 0 Connor J Willson (Student -s

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ION CAPA Explosion × 0 Chegg Study Guded Sola + v 0 Connor J Willson (Student -section: 1 1515) 181 PHYS 0174 Basic Physics for Science and Engineering, CRN 11436 ages Courses Help Log Course Contents...HW6 Explosion Timer Notes Evaluate @Feed ackPrint eh body is traveling at 6.00 m/'s along the positive direction of an x-axis. No net force acts on the body. An internal explosion separates the body into two parts, each of 4.00 kg, and increases the otal kinetic energy by 17 J. The forward part continues to move in the original direction of motion, What is the speed of the rear part? 6 34m/s Submit Answer Incor hat is the speed of the forward part? Irect. Tries 2/20 Previous Tries 6 34m/s Submit Answer Tries 2/20 Previous Tries Send Fe Post Discussion

Explanation / Answer

Given, M = 8 Kg

m1 = m2 = 4 Kg

Initial speed of M, u = 6 m/s

Let v1,v2 are the velocities of m1,m2 respectively.

According to law of conservation of momentum

                          Mu = m1v1 + m2v2

(8 x 6) = 4 x v1 + 4 x v2

v1 + v2 = 12

                             v2 = 12 - v1       ---------------------(1)

                (1/2)Mu2 + addtional energy = (1/2)m1 v12 + (1/2)m2 v22

144 + 17 = 2 v12 + 2 v22

              v12 + v22 = 161

              v12 + (12 - v1)2= 161

              v12+ 144 + v12 - 24v1 = 161

               2 v12 - 24 v1 - 17= 0

On solving, v1 = 12.67 m/s and v2 = -0.67 m/s

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