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Plzzz kindly help me in the problem​

Answer»

Given :-

  • Mass of the body = 20 kg
  • INITIAL velocity of the body = 5 m/s
  • Final velocity of the body = 2 m/s

To Find :-

  • The work done by the force

Solution :-

\\   : \implies \sf \:W =   \Delta KE  \\  \\

\\   : \implies{\sf{\star \: {\boxed{\purple{\sf{W  =  \dfrac{1}{2}m {v}^{2}  -  \dfrac{1}{2} m {u}^{2}  }}}}}} \\  \\

Where ,

  • W is work done
  • m is mass
  • u is initial velocity
  • v is final velocity

We have ,

  • m = 20 kg
  • v = 2 m/s
  • u = 5 m/s

Substituting the values :-

\\   : \implies \sf \: W  =  \dfrac{1}{2}(20) {(2)}^{2}  -  \dfrac{1}{2} (20) {(5)}^{2} \\  \\

\\   : \implies \sf \: W  =  \dfrac{1}{2} (20)(4) -  \dfrac{1}{2} (20)(25) \\  \\

\\   : \implies \sf \: W  =  \dfrac{1}{2} (80) -  \dfrac{1}{2} (500) \\  \\

\\ :   \implies \sf \: W  = 40 - 250 \\  \\

\\   :\implies{\underline{\boxed{\mathfrak{\pink{ W =   - 210 \: J }}}}} \:  \bigstar \\  \\



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