1.

A body of mass 2 kg initially kg intially at rest moves under the action of an appliedhorizontal force of 7 N on a tablewith coefficientof kinetic friction = 0.1Computethe (a) work done by the applied force in 10 s. (b) work done by frictionin 10 s . work done by the net forceon the bodyin 10 s. (d) Change in kinetic energy of the body in 10 s and interpret your details .

Answer»

Solution :Frictional force ,
`f = muN =mu mg = 0.1 xx 2xx 9.8 = 1.96 N `
Neteffective force ` F = f = 7 - 1.96 = 5.04 N `
Acceleration of body under the NET force ,
`a = F/m =(5.04)/2 = 2.52 ms^(-2)`
Distance covered in 10 s , `S =0+1/2 at^(2) [ :. u = 0 ] `
` = 1/2 xx 2.52 xx10^(2)`
` = 126 m `
(a) work done by applied force ,
`W_(1)=(F)(s)`
` = 7 xx 126 = 882 J `
(b) Wrok done by friction ,
`W_(2) =-f(S)`
` = - 1.96 xx126 = - 246.96 = - 247 J `
(c ) Work done by net force= `5.04 xx126 = 635 J `
(d) CHANGE in the kinetic energy of the body.
`DeltaK = DeltaW_(3)`
= 635 J
Interpretation : Work done by net force on the bod equal to the change in kinetic energy .


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