A force vector applied on a mass is repr...

A force vector applied on a mass is represented as `vec(F)=6hat(i)-8hat(j)+10hat(k)` and acceleration with `m//s^(2)`. What will be the mass of the body in kg.

A

`10sqrt(2) kg`

B

`2sqrt(10) kg `

C

10 kg

D

20 kg

Verified by Experts

The correct Answer is:

A

`F = 6hat(i) - 8hat(j) + 10hat(k) rArr |vec(F)| = sqrt(6^(2) + 8^(2) + 10^(2)) = 10 sqrt(2)N`
` m = (F)/(a) =(10 sqrt(2))/(1) = 10sqrt(2)kg`.

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