A body, under the action of a force `vec(F)=6hati -8hatj+10hatk` , acquires an acceleration of `1ms^(-2)` . The mass of this body must be.

Options

A. 200 kg
B. 20kg
C. `10sqrt(2) kg`
D. 6sqrt(2) kg`

Answer

C

Explanation

(c ) Force ,F=ma
` therefore "Mass" m -(F)/(a)=(6hati-8hatj+10hatk)/(1)`
` |m|=sqrt((6)^(2)+(8)^(2)+(10)^(2))`
` =sqrt(36+64+100)`
`=sqrt(200)=10sqrt(2)kg`