A particle of mass 5 kg is moving with a uniform speed of `3 sqrt(2) "cm s"^(-1)` in the XY-plane along the line `y = 2 sqrt(5)` cm. The magnitude of its angular momentum about the origin in `"g-cm"^(2) s^(-1)` is

Options

A. zero
B. 30
C. `30 sqrt(2)`
D. `30 sqrt(10)`

Answer

D

Explanation

The angular momentum, `L=mr_(1)=(5)(3 sqrt(2))(2 sqrt(5))`
`=30 sqrt(10)"g-cm"^(2)s^(-1)`