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

Answer

D

Explanation

According to Newton's second law of motion, force`="mass"xx"acceleration"`.
Here, `vec(F)=6hati-8hatj+10hatk`
`|F|=sqrt(36+64+100)`
`=10sqrt(2)N`
`a=1ms^(-2)`
:. `m=(10sqrt(2))/(1)=10sqrt(2)kg` .