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A force F=(6hati-9hatj+10hatk) N produce...

A force `F=(6hati-9hatj+10hatk)` N produces an accelertion of 1 `m^(-2)` in a bady .The mass of bady would 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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