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

10 kg

B

20 kg

C

`10 sqrt(2) kg `

D

`2 sqrt(10 ) kg `

Text Solution

Verified by Experts

The correct Answer is:

C

` vecF = 6 hati - 8 hatj + 10 hatk`
` | vecF| = sqrt(36)+ 64 + 100 = sqrt(200) N = 10 sqrt(2) N`
` therefore ` Mass ,`M = ( 10 sqrt(2))/(1) = 10 sqrt(2) kg `

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