Question

plz answer fast plz​

Answer 1

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

$\green{\tt{\therefore{Force=10^{5}\:N}}}$

$\green{\tt{\therefore{Time=10^{-4}\:sec}}}$

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

$\green{\bold{ \underline{Given :}}}$

$\tt: \implies Mass \: of \: bullet(m) = 10 \: g$

$\tt : \implies Speed \: of \: bullet(u) = 10^{3} \: m/s$

$\tt: \implies Travelled \: distance(s) = 5 \: cm$

$\red{\bold{ \underline{To \:Find:}}}$

$\tt: \implies Force \: exerted(F) =?$

$\tt: \implies Time \: taken(t) =?$

• According to given question :

$\tt \circ \: Distance \: travelled = \frac{5}{100} = 0.05 \: m$

$\tt \circ \: Final \: speed = 0\:m/s$

$\bold{As \: we \: know \: that}$

$\tt: \implies {v}^{2} = { u}^{2} + 2as$

$\tt: \implies {0}^{2} = ({10}^{3} )^{2} + 2 \times a \times 0.05$

$\tt: \implies - {10}^{6} = \frac{a}{10}$

$\tt: \implies - { 10}^{7} = a$

$\tt: \implies a = - 10^{7} \: m/ {s}^{2}$

$\tt \circ \:Mass = \frac{10}{1000} = 0.01 \: kg$

$\bold{As \: we \: know \: that}$

$\tt: \implies F = ma$

$\tt: \implies F= 0.01 \times - {10}^{7}$

$\green{\tt: \implies F= - 10 ^{5} \: N}$

$\green{\tt \therefore Force \: exerted \: of \:bullet \: is \: {10}^{5} \: N \: in \: backward \: direction}$

$\bold{As \: we \: know \: that}$

$\tt: \implies v = u + at$

$\tt: \implies 0 = 10^{3} + ( - 10^{7} ) \times t$

$\tt: \implies - 10 ^{3} = - 10^{7} \times t$

$\tt: \implies t = \frac{ - 10^{3} }{ - {10}^{7} }$

$\green{\tt: \implies t = \frac{1}{10^{4} } \: sec}$

$\green{\tt \therefore Time \: taken \: is \: {10}^{ - 4} \: sec}$