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QJEEM19Ph59be: JEE Main 2019 Physics - Class 11 JEEM19Ph59be Solution: Two particles, of masses M and 2M, moving, as shown, with…

Two particles, of masses M and 2M, moving, as shown, with speeds of 10 m/s and 5 m/s, collide elastically at the origin. After the collision, they move along the indicated directions with speeds u1 and u2, respectively. The values of u1 and u2 are nearly : JEE Main 2019 (Online) 10th April Morning Slot Physics - Center of Mass and Collision Question 84 English

Multiple Choice Options

  • A 6.5 m/s and 3.2 m/s
  • B 6.5 m/s and 6.3 m/s
  • C 3.2 m/s and 6.3 m/s
  • D 3.2 m/s and 12.6 m/s

Step-by-Step Verified Solution

2MV, cos 30° + Mv2 cos 45° = 10 M cos 30° + 10 cos 45°

⇒v13+v22=53+52   ...(i)

2MV, sin 30° – MV2 sin 45° = –10 M sin 30° + 10 M sin 45°

V1−V22=−5+52   ...(ii)

V1=5(3−1)+1023+1=17.52.7=6.5m/s

V2 = 6.3 m/s

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