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Two balls are rolling on a flat surface....

Two balls are rolling on a flat surface. One has velocity components ` m//s` and `sqrt(3) m//s` along the rectangular axes `x` and `y`, respectively and the other has component `2 m//s` and `2 m//s`, respectively. If both the balls start moving from the same point, the angle between their directions of motion is

A

`15^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A


`tan theta_(1) = (sqrt(3))/(1) rArr theta_(1) = 60^(@)`
`tan theta_(2) = (2)/(1) rArr theta_(2) = 45^(@)`
`theta_(1) - theta_(2) =15^(@)`
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Knowledge Check

  • Two balls are rolling on a flat smooth table. One ball has velocity components sqrt(3) hat(j) and hat(i) while the other has components 2 hat(i) and 2 hat(j) . If both start moving simultaneously from the same point, the angle between their paths is-

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