Question

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

Answer 1

Correct Answer - A
`vecF=6 hati- 8 hatj +10 hatk`
`|vecF|=sqrt(6^(2)+8^(2)+10^(2))=10sqrt(2)`
`m=(|vecF|)/(a)=(10sqrt(2))/(1)=10sqrt(2)kg`