Two particles A and B start at O and travel in opposite direction along the circular path at constant speed #V_a = 0.7m/s# and #V_b = 1.5m/s# respectively. Determine the time when they collide(radius = 5m)?

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Feb 9, 2018

Answer:

They collide after about 10 s.

Explanation:

The circumference of the circle is #2*pi*r = 31.42 m#. Let the distance traveled by them be #d_A and d_B# respectively. So we know that

#d_A + d_B = 31.42 m#

Let the time between start and collision be t. Then we know that

#d_A = 0.7 m/s * t and d_B = 1.5 m/s *t#

Substituting into the first equation

#0.7 m/s * t + 1.5 m/s *t = 31.42 m#

#t = (31.42 m)/(0.7 m/s + 1.5 m/s)#

#t = (31.42 cancel(m))/(2.2 cancel(m)/s) = 14.28 s#

So, rounding that to 1 significant digit (because radius is 5 m), they collide after about 10 s.

I hope this helps,
Steve

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