Biology, asked by anushkakapoo648890, 3 months ago

025 A mechanic strikes a nail with a hammer of mass 400g moving with a velocity of
20m/s the hammer comes to rest in 0.04sec after striking the nail. Calculate the force
ented by the nail calculate the force by the nail on the hammer

Answers

Answered by DARLO20
5

\Large\bf{\color{indigo}GiVeN,} \\

  • Mass of a hammer is 400g.

\longmapsto\:\:\bf\blue{Mass\:(m)\:=\:400\:g\:=\:0.4\:kg} \\

  • Initial velocity of hammer is 20 m/s.

\longmapsto\:\:\bf\purple{Initial\:velocity\:(u)\:=\:20\:m/s} \\

  • Final velocity of hammer is 0 m/s (Rest).

\longmapsto\:\:\bf\pink{Final\:velocity\:(v)\:=\:0\:m/s} \\

  • Time period is 0.04 s.

\longmapsto\:\:\bf\green{Time\:(t)\:=\:0.04\:s} \\

\bf\orange{We\:know\:that,} \\

\red\bigstar\:\:{\underline{\green{\boxed{\bf{\color{peru}v\:=\:u\:+\:a\:t\:}}}}} \\

\bf\red{Where,} \\

  • a is acceleration of the hammer.

\longrightarrow\:\:\bf{0\:=\:20\:+\:a\times{0.04}\:} \\

\longrightarrow\:\:\bf{0.04\:a\:=\:-\:20\:} \\

\longrightarrow\:\:\bf{a\:=\:\dfrac{-20}{0.04}\:} \\

\longrightarrow\:\:\bf{a\:=\:-\dfrac{2000}{4}\:} \\

\longrightarrow\:\:\bf\gray{a\:=\:-\:500\:m/s^2\:} \\

[NOTE :- Here negative sign indicates that the hammer is moved backward direction, because after strikes to nail a backward force act's on the hammer. That's why acceleration acts also in backward direction. It is also known as retardation.]

\bf\blue{We\:know\:that,} \\

\pink\bigstar\:\:{\underline{\purple{\boxed{\bf{\color{olive}Force\:(F)\:=\:mass\times{acceleration}\:}}}}} \\

:\implies\:\:\bf{F\:=\:0.4\times{500}\:} \\

:\implies\:\:\bf\green{F\:=\:200\:N} \\

\Large\bold\therefore The force exerted by the nail on hammer is 200 N.

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