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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

`2sqrt(10)kg`

B

`10kg`

C

20 kg

D

`10sqrt2kg`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecF=6hati-8hatj+10hatk`
`|vecF|=sqrt(6^(2)+8^(2)+10^(2))=10sqrt2`
`m=(|vecF|)/(a)=(10sqrt2)/(1)=10sqrt2kg`
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