If a body acquires an acceleration of `2ms^(-2)` under the action of a force `vecF=6veci-8vecj+10veck`then its mass is

Options

A. `10sqrt(2)`kg
B. `5sqrt(2)` kg
C. `20sqrt(2)` kg
D. `2sqrt(2)` kg

Answer

b

Explanation

`vecF=(6 veci - 8 vecj + 10 veck ), a= 2 ms ^(-2)`
` | vecf|)= sqrt((6) ^(2) +(-8)^(2) +(10) ^(2))`
`=sqrt(200)=10sqrt(2)`
`"Mass" m = (|vecF|)/( a)`
`m=(10 sqrt(2))/(2) = 5 sqrt(2) ` kg .