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A force vecF=(3hati+4hatj+5hatk)N produc...

A force `vecF=(3hati+4hatj+5hatk)N` produces an acceleratioinof `1.414m//s^(2)` in a body. What is the mass of the body?

A

3 kg

B

4 kg

C

5 kg

D

10kg

Text Solution

Verified by Experts

The correct Answer is:
C
`|vecF|= sqrt(3^(2)+4^(2)+5^(2))`
`= sqrt(9+16+25)= sqrt(50)= 5sqrt(2)`
`therefore m =(|F|)/(|a|) = (5sqrt(2))/(sqrt(2)) " " (because sqrt(2) =1.414)`
`therefore m =5kg`
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