A body of mass 'm' is moving in a straight line at a constant speed 'v'. Its kinetic energy is 'k' and the magnitude of its momentum is 'p'. Which of the following relations is/are correct?

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Solution

The correct options are
A
C
Now p=mv or $p^{2} = m^{2} v^{2}$ or $\frac{p^{2}}{2 m} = \frac{1}{2} m v^{2} = k$ or $p = \sqrt{2 m k}$ . Also p = mv and $k = \frac{1}{2} m v^{2}$ . Dividing the two we get 2k = pv. Hence the correct relations are (a) and (c).

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A body of mass 'm' is moving in a straight line at a constant speed 'v'. Its kinetic energy is 'k' and the magnitude of its momentum is 'p'. Which of the following relations is/are correct?

The correct options are A C Now p=mv or p2=m2v2 or p22m=12mv2=k or p=√2mk. Also p = mv and k=12mv2. Dividing the two we get 2k = pv. Hence the correct relations are (a) and (c).

The correct options are
A
C
Now p=mv or $p^{2} = m^{2} v^{2}$ or $\frac{p^{2}}{2 m} = \frac{1}{2} m v^{2} = k$ or $p = \sqrt{2 m k}$ . Also p = mv and $k = \frac{1}{2} m v^{2}$ . Dividing the two we get 2k = pv. Hence the correct relations are (a) and (c).