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Question: A 0.15 kg glider moving to its right with 0.8ms<sup>-1</sup> collide head on with another glider of ...

A 0.15 kg glider moving to its right with 0.8ms-1 collide head on with another glider of mass 0.3 kg moving with a speed 2.2 ms-1to left. Find the velocity of 0.15kg glider after collision. Assume collision is elastic.

A

2.2 ms-1

B

3.2 ms-1

C

2.96 ms-1 to right

D

2.96 ms-1 due left

Answer

3.2 ms-1

Explanation

Solution

v1 = (m1m2m1+m2)u1+2m2m1+m2u2\left( \frac{m_{1} - m_{2}}{m_{1} + m_{2}} \right)u_{1} + \frac{2m_{2}}{m_{1} + m_{2}}u_{2}v2

= 0.150.45(0.8)+2×0.30.45(2.2)\frac{- 0.15}{0.45}(0.8) + \frac{2 \times 0.3}{0.45}( - 2.2) = -3.2 ms-1