Question

please answer it's urgent ​

Answer 1

Answer:

$\boxed{\mathfrak{(c) \ 10\sqrt{2} \ kg}}$

Explanation:

Force vector applied on a mass is given as:

$\rm \overrightarrow{F} = (8 \hat{i} - 6 \hat{j} + 10 \hat{k}) \: N$

Accelration of mass (a) = 1 m/s²

First we will find the magnitude of force vector;

$\rm \implies |\overrightarrow{F} | = \sqrt{ {8}^{2} + {6}^{2} + {10}^{2} } \\ \\ \rm \implies F = \sqrt{64 + 36 + 100} \\ \\ \rm \implies F = \sqrt{200} \\ \\ \rm \implies F = 10 \sqrt{2} \: N$

According to Newton's second law of motion, Force is equal to mass times accelration i.e.

$\bold{F = ma}$

m → Mass of the body

By substituting value in thy equation we get:

$\rm \implies 10 \sqrt{2} = m \times 1 \\ \\ \rm \implies m = 10 \sqrt{2} \: kg$