Question

find the momentum of an object of mass 100 g having a kinetic energy of 20 joule​

Answer 1

Answer:

$KE = \frac{1}{2} mv^2 \\\\p = mv\\\\p = \sqrt{2*KE*m}$

$p = \sqrt{2*20*0.1} = \sqrt{4} = 2 kgm/s$

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Linear\:momentum=2\:kg\:m/s}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Mass \: of \: object(m) = 100 \: g \\ \\ \tt: \implies Kinetic \: energy(K.E) = 20 \: joule \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Momentum \: of \: object(p)= ?$

• According to given question :

$\tt \circ \: Mass = \frac{100}{1000} = 0.1 \: kg\\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Kinetic \: energy = \frac{1}{2} m {v}^{2} \\ \\ \tt: \implies 20 = \frac{1}{2} \times 0.1 \times {v}^{2} \\ \\ \tt: \implies \frac{40}{0.1} = {v}^{2} \\ \\ \tt: \implies {v} = \sqrt{400} \\ \\ \green{\tt: \implies v = 20 \: m/s} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Linear \: momentum = mv \\ \\ \tt: \implies Linear \: momentum =0.1 \times 20 \\ \\ \green{\tt: \implies Linear \: momentum = 2 \:kg \: m/s}$