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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

10 kg

B

20 kg

C

`10sqrt(2)` kg

D

`2sqrt(10)` kg

Text Solution

Verified by Experts

The correct Answer is:
C
Force `(vecF) = 6hati - 8hatj + 10 hatk` and acceleration `(a) \ 1m//s^(2)`
Mass (m) `=(|vecF|)/a = (|6hati - 8hatj + 10 hatk|)/1`
`=sqrt(36 + 64 + 100) = sqrt(200) = 10sqrt(2)` kg
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