1.

Forces of `sqrt 2 N` and `6 sqrt 2 N` are acting on a body of mass 10 kg at an angle of `60^(@)` to each other . Find the acceleration , distance covered and velocity of the body after 10 second , if the body is initially at rest .

Answer» Here ,`F_(1) = 5 sqrt 2 N`
`F_(2) =6 sqrt2,0 = 60^(@)`
`m= 10 kg , u= 0 , a = ? s = ? upsilon = ?`
Resulant force ,
` R= sqrt(F_(1)^(2)+ F_(2)^(2) + 2F_(1) F_(2) c`
`= sqrt((5sqrt2)^(2) + (6sqrt2)^(2)+2xx5 sqrt2xx6sqrt2xx(1)/2`
` R= sqrt50 +72 + 60 = sqrt182=13.5 N`
`a = (R)/m = (13.5)/(10)=1.35 m//s^(2)`
`s= ut + (1)/2 at^(2)`
`s= 0 + (1)/(2) xx 1.35 xx 10^(2) = 67.5 m`
`upsilon = u + "at" = 0 + 1.35 xx 10 = 13.5 m//s` .


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