A force vector applied on a mass is represented by `vec(F)=6hati + 8hatj+10hatk` and it accelerates it with 1 m`s^(-1)` . What will be the mass of the body ?

Options

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

Answer

A

Explanation

Here magnitude of the force acting
`|vec(F)\=[6^(2)+8^(2)+10^(2)]^(1//2)=(200)^(1//2)`
`m=|vec(F)|/|a|=(200)^(2)/1=10sqrt(2)kg`