Rotational MotionHard

Question

Two cars A and B each of mass $10^{3}\text{ }kg$ are moving on parallel tracks separated by a distance of 10 m, in same direction with speeds $72\text{ }km/h$ and $36\text{ }km/h$. The magnitude of angular momentum of car A with respect to car B is $\_\_\_\_$ J.s.

Options

A.$3.6 \times 10^{5}$
B.$10^{5}$
C.$3 \times 10^{5}$
D.$2 \times 10^{5}$

Solution

$L = m.V_{\text{rel~}}r_{\bot}$

$$\begin{matrix} & \ = 1000 \times \left( 36 \times \frac{5}{18} \right) \times 10 \\ & \ = 10^{5}\text{ }kg{\text{ }m}^{2}/s \end{matrix}$$

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