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

Options

A. 10 kg
B. 8 kg
C. 12 kg
D. 9 kg

Answer

A

Explanation

(a) F=ma or `m=(|F|)/(|a|)=(|6 hati-8 hatj+10 hatk|)/(sqrt(2))`
`=(sqrt(6^(2)+8^(2)+10^(2))))/(sqrt(2))=10 kg`