Two particles of masses 2   kg and 3   kg are projected horizontally in opposite directions from…

Two particles of masses 2 kg and 3 kg are projected horizontally in opposite directions from the top of a tower of height 39.2 m with velocities 5 m s-1 and 10 m s-1 respectively. The horizontal range of the centre of mass of two particles is [g=9.8 m s-2]
  1. 82 m in the direction of 2 kg
  2. 82 m in the direction of 3 kg
  3. 8 m in the direction of 2 kg
  4. 8 m in the direction of 3 kg

Solution

Range of C.M =Vcm2hg

Vcm=m1v1+m2v2m1+m2

V com = −2×5+3×10 2+3 =4m/s

Range =4 2×39.2 9.8 =8 2

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