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 string of force constant 50 N/m . How much maximum compression on the spring will be ?

A

`0.5`m

B

`0.15`m

C

`0.12`m

D

`1.5`m

Text Solution

Verified by Experts

The correct Answer is:
B
Kinetic energy converted into potential energy
` :. K = PE`
` :. 1/2 mv^(2) =1/2 kx^(2)`
` :. x = sqrt((mv^(2))/k)`
` :. x = sqrt((0.5xx(1.5^(2)))/50)`
`:. x = sqrt(((15)^(2))/((100)^(2)))`
` :. x = 0.15 m `
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - A)|6 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - B)|2 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise SECTION - E Multiple Choice Questions (MCQs)|64 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos

Similar Questions

Explore conceptually related problems

To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass 1000 kg moving with a speed 18.0 km/h on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25xx10^(3) Nm^(-1) . What is the maximum compression of the spring?

To simulate car accidents , auto manufactures study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass 1000 kg moving with a speed 18.0 km/h on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 xx10^(3) Nm^(-1) .What is the maximum compression of the spring ?

To stimulate car accident , auto manufacturers study the collision of moving car with mounted springs of different spring constants . Consider a typical stimulation with a car of mass 800 kg moving with a speed 36.0 km/h on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 xx10^(3)Nm^(-1) .What is the maximum compression of the spring ?

The block of mass M moving on the frictionless horizontal surface collides with the spring constant k and compresses it by length L . The maximum momention of the block after collision is

A block of mass 0.50kg is moving with a speed of 2.00m//s on a smooth surface. It strikes another mass of 1 kg at rest and they move as a single body. The energy loss during the collision is

A car of mass 1000 kg is moving with a velocity 20m /s on a horizontal straight road. If the driver applies brakes to produce a constant breaking force of 5000 Newton, the acceleration of the car i s ..... m / s^(2) .

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

A stone of of mass 0 .25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev//min in a horizontal plane What is the tension in the string ? What is the maximum speed with which the stone can be whirled around If the string can withstand a maximum tension of 200 N ?

A block of mass 8 kg is released from the top of an inclined smooth surface as shown in figure. If spring constant of spring is 200 Nm^(-1) and block comes to rest after compressing spring by 1 m then find the distance travelled by block before it comes to rest

Two blocks of masses 3 kg and 6kg rest on horizontal smooth surface. The 3 kg block is attached to a spring with a long constant k=900Nm^(-1) which is compressed 2m from beyond 1m from mean position. 3kg mass strikes the 6 kg mass and the two stick together.

KUMAR PRAKASHAN-WORK, ENERGY AND POWER -SECTION - F Questions From Module (Sample questions for preparation of competitive exams)
  1. A particle fall freely from height s . At certain height its kinetic ...

    Text Solution

    |

  2. A body of mass 3 kg fall freely from the building of height 60 m . ...

    Text Solution

    |

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

    Text Solution

    |

  4. inelastic collision of two sphere of right body ………

    Text Solution

    |

  5. Two bodies of mass 1 g and 4 g moving with equal kinetic energy then ...

    Text Solution

    |

  6. How much work done in pulling up a block of wood weighing 2kN for leng...

    Text Solution

    |

  7. The kinetic energy of a body becomes four times its intial value , the...

    Text Solution

    |

  8. An electron , a proton a deutron and alpha - particle have the same k...

    Text Solution

    |

  9. If a body of mass 100 kg takes hight 60 m in 1 minute how much power i...

    Text Solution

    |

  10. An engine delivered power of 30 kW to a car of mass 1250 kg and veloci...

    Text Solution

    |

  11. Which one of the following force is non- conservative ?

    Text Solution

    |

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

    Text Solution

    |

  13. If the kinetic energy of the body is increased by 300 % then , the in...

    Text Solution

    |

  14. A car of mass m is driven with acceleration 'a' along a staright leve...

    Text Solution

    |

  15. A man whose mass is 50 kg climbs up 20 steps of the stairs with mass o...

    Text Solution

    |

  16. A sphere of mass 2 kg moving at 36 km/hr collides head on with anothe...

    Text Solution

    |

  17. Two bodies of masses m(1) and m(2) have same linear momentum . The rat...

    Text Solution

    |

  18. An elastic balls falls from a height of 10 m . If lose 80 % of its to...

    Text Solution

    |

  19. A ball moving with velocity 2m/s collides head on with another station...

    Text Solution

    |

  20. A bullet is fired from agun . If it recoils freely then kinetic energy...

    Text Solution

    |