A car of mass `500kg` (including the mass of a block) is moving on a smooth road with velocity `1.0ms^-1` along positive x-axis. Now a block of mass `25kg` is thrown outside with absolute velocity of `20ms^-1` along positive z-axis. The new velocity of the car is `(ms^-1)`

Options

A. (a) `10hati+20hatk`
B. (b) `10hati-20hatk`
C. (c) `20/19hati-20/19hatk`
D. (d) `10hati-20/19hatk`

Answer

C

Explanation

`p_i=p_f`
`:. (500)(hatj)=(25)(20hatj)+475v`
`:. v=[(20/19hati)-(20/19hatk)]m//s`