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Question

# Two particles A and B start at the origin O and travel in opposite directions along the circular path at constant speeds VA=0.7 m/s and VB=1.5 m/s respectively. Determine the time when they collide and the magnitude of the acceleration of B just before the collision happens.

A
Time when they collide is 14.3 s.
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B
Time when they collide is 13.4 s.
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C
Acceleration of B is 0.45 m/s2.
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D
Acceleration of A is 9.8 m/s2.
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Solution

## The correct options are A Time when they collide is 14.3 s. C Acceleration of B is 0.45 m/s2. tA=θωA=θRVAtB=2π−θωB=(2π−θ)RVB θRVA=(2π−θ)RVB θ0.7=2π−θ1.5 θ0.7=2π−θ1.5 θ7=2π−θ15 15θ=14π−7θ 22θ=14π θ=14π22 t=θ/ωA=θR/VA putting the values of θ,R and VA and On solving you get t = 14.3 sec Centripetal Acceleration =v2/R =(1.5)2 =0.45 m/s2

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