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A body, under the action of a force vec(...

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

Text Solution

Verified by Experts

The correct Answer is:
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`
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