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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2014 · Physics · Center of Mass, Momentum and Collision

The force ‘F' acting on a particle of mass ‘m' is indicated by the...

The force ‘F′‘F' acting on a particle of mass ‘m′‘m' is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8s8s is:
The force ‘F' acting on a particle of mass ‘m' is indicated by the force-time graph shown below. The change in momentum

Options

  1. A24Ns24Ns
  2. B20Ns20Ns
  3. C12Ns12Ns
  4. D6Ns6Ns

Correct answer

C. 12Ns12Ns

Step-by-step solution

As we know that:-

Area under force-time graph gives as momentum

∆P=∆ P =ar of given curve

∆P=12×b×h+l1×b1+l2×b2∆ P = \dfrac{1}{2} \times b \times h + {l}_{1} \times {b}_{1} + {l}_{2} \times {b}_{2}

∆P=(12)(2)(6)−(3)(2)+(4)2(3)∆ P = \left(\dfrac{1}{2}\right)\left(2\right)\left(6\right) - \left(3\right)\left(2\right) + {\left(4\right)}^{2}\left(3\right)
=6−6+12= 6 - 6 + 12
=12= 12

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