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A spring stores 5J of energy when stretc...

A spring stores 5J of energy when stretched by 25 cm. It is kept vertical with the lower end fixed. A block fastened to its end is made to undergo small oscillations. If the block makes 5 oscillations each second what is the mass of the block?

A

`0.16kg`

B

`1.6kg`

C

`16kg`

D

`0.016kg`

Text Solution

Verified by Experts

The correct Answer is:
C
`x=25xm=0.24m, E=5J, f=5`
`So, T=1/5sec`
Now , PE=`1/2kx^2`
`rarr` `1/2kx^2=5`
`= 1/2k(0.25)^2=5`
`=k=160N/m`
Again `T=2pi(sqrt(m/k))`
`rarr` `1/2=2pi(sqrt(m/160))`
`implies m=0.16kg`
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HC VERMA-SIMPLE HARMONIC MOTION-Exercises
  1. A block of mass 0.5 kg hanging from a vertical spring executes simple ...

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  2. A body of mass 2 kg suspended through a vertical spring executes simpl...

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  3. A spring stores 5J of energy when stretched by 25 cm. It is kept verti...

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  4. A small block of mass m is kept on a bigger block of mass M which is a...

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  5. The block of mass m1 shown in figure is fastened to the spring and the...

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  6. In figure, k = 100 N//m, M = 1kg and F = 10 N (a) Find the compre...

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  7. Find the time period of the oscillation of mass m in figure a,b,c wha...

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  8. The spring shown in figure is unstretched when a man starts pulling on...

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  9. A particle of mass m is attached to three springs A,B and C of equal f...

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  10. Repeat the previous exercise if the angle between each pair of springs...

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  11. The springs shown in the figure are all unstretched in the beginning w...

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  12. Find the elastic potential energy stored in each spring shown in figu...

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  13. The string the spring and the puley shown in figure are light. Find th...

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  14. Solve the previous problem if the pulley has a moment of inertia I abo...

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  15. Consider the situastion shown in figure. Show that if that blocks are ...

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  16. A rectangular plate of sides a and b is suspended from a ceiling by tw...

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  17. A 1kg block is executing simple harmonic motion of amplitude 0.1 m on ...

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  18. The left block in figure moves at a speed v towards the right block pl...

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  19. Find the time period of the motion of the particle shown in figure. Ne...

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  20. All the surfaces shown in figure are frictionless. The mass of the car...

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