Using variation of force and time given below, final velocity of a particle of mass $2 \mathrm{~kg}$ moving…

Using variation of force and time given below, final velocity of a particle of mass $2 \mathrm{~kg}$ moving with initial velocity $6 \mathrm{~m} / \mathrm{s}$ will be
  1. $10 \mathrm{~m} / \mathrm{s}$
  2. $5 \mathrm{~m} / \mathrm{s}$
  3. $12 \mathrm{~m} / \mathrm{s}$
  4. $0 \mathrm{~m} / \mathrm{s}$

Solution

Now, using the impulse-momentum theorem to find the final velocity $\begin{aligned} & 12=2 \times(v-6) \\ & v-6=\frac{12}{2}=6 \\ & v=12 \mathrm{~m} / \mathrm{s} \end{aligned}$ So, with the given force-time data $(0,6)$ and $(4,0)$, the final velocity of the particle is $12 \mathrm{~m} / \mathrm{s}$

Asked in: MHT CET 2023 (13 May Shift 1)

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