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  4. A force 2 hat i + hat j - hat k newton acts on a body a which is initially at rest. If the velocity of the body at the end of 20 seconds is 4 hati+2 hatj+2 hatk ms-1 the mass of the body.

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Q. A force $2\hat{ i} +\hat{ j} -\hat{ k}$ newton acts on a body a which is initially at rest. If the velocity of the body at the end of $20 \, seconds$ is $4\hat{i}+2\hat{j}+2\hat{k} \,ms^{-1}$ the mass of the body.

Motion in a Plane

Solution:

Considering that at the end of 20 sec, velocity is given by $4 \hat{ i }+2 \hat{ j }+2 \hat{ k }$. therefore acceleration is given by, $a = v / t$. $a =\frac{4 \hat{ i }+ 2 \hat{ j }+ 2 \hat{ k }}{ 2 0 }$
Now using $m = F / a$ and $F = 2 \hat{ i }+\hat{ j }+\hat{ k }$
Hence, $m =10 kg$