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. `10sqrt(2)kg`
B. `2sqrt(10)kg`
C. `10kg`
D. `30kg`

Answer

A

Explanation

Here, `F=sqrt(6^(2)+(-8)^(2)+10^(2))=10sqrt(2)`
`m=(F)/(a)=(10sqrt(2))/(1)=10sqrt(2)kg`