Home
Class 11
PHYSICS
A mass of 0.5 kg moving with a speed of ...

A mass of `0.5 kg` moving with a speed of `1.5 m//s` on a horizontal smooth surface, collides with a nearly weightless spring of force constant `k =50 N//m` The maximum compression of the spring would be.

A

`0.15m`

B

`0.12m`

C

`1.5m`

D

`0.5m`

Text Solution

Verified by Experts

The correct Answer is:
A

`(1)/(2)mv^2=(1)/(2)kx^2`, `x:` maximum compression of spring
`x=vsqrt((m)/(k))=(1.5)sqrt((0.5)/(50))=0.15m`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    CP SINGH|Exercise EXERCISES|92 Videos

  • VECTORS

    CP SINGH|Exercise Excercises|66 Videos

Similar Questions

Explore conceptually related problems

A body of mass 5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 5 N/m. The maximum compression of the spring would be

Auto manufactures study the collision of cars with mounted spring of different spring constant. Consider a car of mass 1500 kg moving with a speed of 36 kmh^(-1) on a smooth road and colliding with a horizontally mounted spring of spring constant 7.5xx10^(3) Nm^(-1) . Find the maximum compression of the spring .

A car of mass 1000 kg moving with a speed 18 km h^(-1) on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 xx10^3 N m^(-1) . The maximum compression of the spring is

A block A of mass 2 kg is moving to right with a speed of 5 m/s on a horizontal smooth surface. Another block B of mass 2 kg, with a mass less spring of force constant K =200 N/m attached to it, is moving to left on the same surface with a speed of 3 m/s. Block A collides with the spring attached to B. Calculate (a) the final velocity of the block A. (b) the minimum kinetic energy of the system of two blocks during subsequent motion. (c) Repeat part (b) if there is no spring and the two blocks collide head on. Assume that the blocks are made of perfectly elastic material

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms^(-1) . It collides with a horizontal spring of force constant 200 Nm^(-1) . The maximum compression producec in the spring will be :

A 4.0 kg body, moving with a speed of 2.0m/s ,collides with a spring bumper of negligible mass and force constant 100Nm^(-1) .The maximum compression of the spring is ?

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.

CP SINGH-WORK, ENERGY AND POWER-EXERCISES
  1. The figure shown a particle sliding on a frictionless track, which tem...

    Text Solution

    |

  2. A simple pendulum of length 1m has bob of mass 100 g. It is displaced ...

    Text Solution

    |

  3. A mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smoot...

    Text Solution

    |

  4. A block of mass m is attached to two unstretched springs of spring con...

    Text Solution

    |

  5. The figure shows a smooth curved track terminating in a smooth horizon...

    Text Solution

    |

  6. one end of a spring of natural length ha and spring constant k is fixe...

    Text Solution

    |

  7. In figure, the stiffness of the spring is k and mass of the block is m...

    Text Solution

    |

  8. A vertical spring with force constant k is fixed on a table. A ball of...

    Text Solution

    |

  9. A block of mass M is hanging over a smooth and light pulley by a const...

    Text Solution

    |

  10. A small block of mass m is kept on a rough inclined surface of inclina...

    Text Solution

    |

  11. A body of mass 1 kg is thrown upwards with a velocity 20 ms^(-1). It m...

    Text Solution

    |

  12. A body dropped from a height H reaches the ground with a speed of 1.2 ...

    Text Solution

    |

  13. A ball is thrown vertically upward with speed 10 m//s and it returns t...

    Text Solution

    |

  14. A bullet, moving with a speed of 150(m)//(s), strikes a wooden plank. ...

    Text Solution

    |

  15. A ball dropped from a height of 2 m rebounds to a height of 1.5 m afte...

    Text Solution

    |

  16. A bullet moving with a speed of 100 ms^(-1) can just penetrate into tw...

    Text Solution

    |

  17. A car is moving along a stight horizontal road with a speed v(0) . If ...

    Text Solution

    |

  18. A body of mass 0.5 kg is taken up an inclined plane of length 10 m and...

    Text Solution

    |

  19. A block of mass 1 kg is placed at the point A of a rough track shown i...

    Text Solution

    |

  20. A car weighing 1400 kg is moving at speed of 54 km/h up a hill when t...

    Text Solution

    |