Two bodies A and B are moving with same constant speed v in clockwise direction in a horizontal circle of radius R and are initially diagonally opposite. The particle B now achieves a tangential acceleration am/s2. Then:
A
they collide after time √πRa
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B
they collide after time √2πRa
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C
relative velocity just before collision is√πaR
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D
relative velocity just before collision is √2πaR
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Solution
The correct options are A relative velocity just before collision is √2πaR C they collide after time √2πRa
In order to collide,
πR+Distance travelled by A = Distance travelled by B or, πR+vt=vt+12at2 or, t=√2πRa Relative velocity just before collission: