A block of mass $$100$$ g attached to a spring of spring constant $$100$$ $$Nm-1$$ is lying on a frictionless floor as shown in the figure. The block is moved to compress the spring by $$10$$ cm and then released. If the collisions with the wall in front are elastic, then the time period of the motion is

Question

A block of mass $$100$$ g attached to a spring of spring constant $$100$$ $$Nm-1$$ is lying on a frictionless floor as shown in the figure. The block is moved to compress the spring by $$10$$ cm and then released. If the collisions with the wall in front are elastic, then the time period of the motion is

Infinity Learn · Accepted Answer

$$T=2$$$$π$$$$mk=2$$$$π$$$$0.1100=0.198$$ sFrom x $$=$$ A $$sin$$ ωt or $$5=10$$ $$sin$$ ωt⇒    ω$$t=$$π$$6$$  or  $$2$$$$π$$$$Tt=$$π$$6$$   or   $$2t=T6The$$ desired time in the question will be $$T2+$$ $$2tor$$                    $$T2+T6=2T3=23(0.198)=0.132$$ s

A block of mass 100 g attached to a spring of spring constant $100 {Nm}^{- 1}$ is lying on a frictionless floor as shown in the figure. The block is moved to compress the spring by 10 cm and then released. If the collisions with the wall in front are elastic, then the time period of the motion is

Unlock the full solution & master the concept.

Ready to Test Your Skills?

prepare smarter

speak to our academic counsellor

free study material

A block of mass 100 g attached to a spring of spring constant 100 Nm-1 is lying on a frictionless floor as shown in the figure. The block is moved to compress the spring by 10 cm and then released. If the collisions with the wall in front are elastic, then the time period of the motion is

Unlock the full solution & master the concept.

Ready to Test Your Skills?

prepare smarter

speak to our academic counsellor

free study material

A block of mass 100 g attached to a spring of spring constant $100 {Nm}^{- 1}$ is lying on a frictionless floor as shown in the figure. The block is moved to compress the spring by 10 cm and then released. If the collisions with the wall in front are elastic, then the time period of the motion is