a block of mass 200g dropped from 2m height on to a spring aand compress the spring to distance 59 cm the force constant of spring is
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Given data,
Mass of the body is ( m ) =2Kg
spring's constant (K)=1960N/m
height of the body =0.4m
Let the maximum distance spring will compressed =xm
initial potential energy of body =mg(h+x)
final potential energy = spring potential energy =
2
1
Kx
2
according to the law of conservation of energy,
initial potential energy = final potential energy
mg(h+x)=
2
1
Kx
2
2mgh+2mgx=Kx
2
Kx
2
−2mgx−2mgh=0
⇒1960x
2
−2×2×9.8×x−2×2×9.8×0.4=0
⇒1960x
2
−39.2x−15.68=0
after solving this quadratic equations , we get x=0.1m
hence, answer is x=0.1m
Explanation:
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