Class 11 NEET Physics Work, Energy and Power Questions

At maximum compression the solid cylinder will stop.
According to law of conservation of mechanical energy
Loss in kinetic energy = Gain in potential energy of spring of cylinder

1

2

mv2+

1

2

Iω2=

1

2

kx2

1

2

mv2+

1

2

(

mR2

R

)(

v

R

)2=

1

2

kx2
(∵v=Rω andd for solid cylinder,I=1/2mR^2)

1

2

mv2+

1

4

mv2=

1

2

kx2

3

4

mv2=

1

2

kx2 or x2=

3

2

mv2

k

Here,m=3kg,v=4ms−1,k=200Nm−1
Substituting the given values, we get
x2=

3×3×4×4

2×200

x2=

36

100

or x=0.6m