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2013 WAEC Further Mathematics Theory The initial velocity of a particle of mass 0.1kg is 40 m/s in the direction...

Further Mathematics
WAEC 2013

The initial velocity of a particle of mass 0.1kg is 40 m/s in the direction of the unit vector j. The velocity of the particle changed to 30 m/s in the direction of the unit vector i. Find the change in momentum. 

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Explanation

u = 40j m/s ; v = 30i m/s,

Change in momentum : \(m(v - u)\)

= \(0.1 (30i - 40j)\)

= \(3i - 4j\)

Magnitude : \(\sqrt{3^{2} + 4^{2}}\)

= \(\sqrt{25}\)

= \(5 Ns^{-1}\)


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