Question

Two particles are moving at a constant speed of 10m/s, one particle due North and the other
particle due South. The magnitude of relative velocity is 5n m/s, then the value of n is
​

Answer 1

Two particles are moving at a constant speed of 10 m/s, one particle due North and the other particle due South. The magnitude of relative velocity is 5n m/s.

To find : The value of n is...

solution : 1st particle is moving at a constant speed of 10 m/s due north.

so velocity of the 1st particle, v₁ = 10j

2nd particle is moving at a constant speed of 10 m/s due south.

so velocity of the 2nd particle, v₂ = -10j

now relative velocity of 1st particle w.r.t 2nd , v₁₂ = v₁ - v₂

= 10j - (-10j)

= 20j

so the magnitude of relative velocity is 20m/s

but it has given that magnitude of relative velocity is 5n m/s.

so, 5n = 20 ⇒n = 4

Therefore the value of n = 4.

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