A force F=(6hati-8hatj+10hatk)N produces...

A force `F=(6hati-8hatj+10hatk)`N produces acceleration of `sqrt(2) ms^(-2)` in a body. Calculate the mass of the body.

A

10 kg

B

8 kg

C

12 kg

D

9 kg

Text Solution

Verified by Experts

The correct Answer is:

A

`F=ma` or `m=(|F|)/(|a|)=(|6 hat(i)-8hat(j)+10 hat(k)|)/sqrt(2)`
`=sqrt(6^(2)+8^(2)+10^(2))/sqrt(2)=10 kg`

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