Home
Class 12
PHYSICS
The velocity (v) of a pariticle of mass ...

The velocity (v) of a pariticle of mass m moving along x-axls is given by `v=bsqrtx,` where b is a constant. Find work done by the force acting on the particle during its motion from `x=0` to `x=4m.`

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Identify the given information We have the velocity of a particle given by the equation: \[ v = b \sqrt{x} \] where \( b \) is a constant, and we need to find the work done by the force acting on the particle as it moves from \( x = 0 \) to \( x = 4 \, m \). ### Step 2: Relate velocity to acceleration ...
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-A (OBJECTIVE TYPE QUESTIONS (ONE OPTIONISCORRECT)|60 Videos
  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-B (SUBJECTIVE TYPE QUESTIONS) (ONE OPTIONS IS CORRECT)|45 Videos
  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise IILUSTRATION|2 Videos
  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-D ( Assertion - Reason Type Questions ))|12 Videos

Similar Questions

Explore conceptually related problems

The velocity (v) of a particle of mass m moving along x-axis is given by v=alphasqrt(x) , where alpha is a constant. Find work done by force acting on particle during its motion from x=0 to x=2m :-

The velocity of a particle of mass 1 kg is given by v=10sqrtx the work done by the forceacting on the particle during its motion from x=4 to x=9m is

A particle of mass 2kg travels along a straight line with velocity v=asqrtx , where a is a constant. The work done by net force during the displacement of particle from x=0 to x=4m is

A particle of mass m moves with a variable velocity v, which changes with distance covered x along a straight line as v=ksqrtx , where k is a positive constant. The work done by all the forces acting on the particle, during the first t seconds is

The speed v of a particle moving along a straight line is given by a+bv^(2)=x^(2) where x is its distance from the origin. The acceleration of the particle is

A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation v=asqrtx , where a is a constant. Find the total work done by all the forces during a displacement from x=0 to x=d .

A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation v=asqrtx , where a is a constant. Find the total work done by all the forces during a displacement from x=0 to x=d .

A particle is moving along the x-axis and force acting on it is given by F=F_0sinomegaxN , where omega is a constant. The work done by the force from x=0 to x=2 will be

A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation v=asqrtx , wher ea is a constant. Find the total work done by all the forces during a displacement from x=0 to x=d .

The velocity of a particle moving on the x-axis is given by v=x^(2)+x , where x is in m and v in m/s. What is its position (in m) when its acceleration is 30m//s^(2) .

AAKASH INSTITUTE ENGLISH-WORK, ENERGY AND POWER-TRY YOURSELF
  1. A particle moves along x-axis from x=0 to x=2 m under the influence of...

    Text Solution

    |

  2. A body of mass 2 kg moving on a horiontal surface with speed v(i)=1ms^...

    Text Solution

    |

  3. The velocity (v) of a pariticle of mass m moving along x-axls is given...

    Text Solution

    |

  4. A simple pendilum with bob of mass m and length l is held in position ...

    Text Solution

    |

  5. A block of mass 4 kg is released from the top of an inclined smooth su...

    Text Solution

    |

  6. A small stone of mass 100 g in rotated I a verticlal circle of radius ...

    Text Solution

    |

  7. A massless, inextensible string of length 1 m has a breaking strength ...

    Text Solution

    |

  8. A particle of mass 100 g, is made to describe a vertical circle of rad...

    Text Solution

    |

  9. A particle of mass m is released from point A as shown in the gigure. ...

    Text Solution

    |

  10. A block of mass 0.1 kg attached to a spring of spring constant 400 N/m...

    Text Solution

    |

  11. In the above question, find the work done by the spring force as the b...

    Text Solution

    |

  12. Two blocks of masses m(1) = 1 kg and m(2) = 2 kg are connected by a n...

    Text Solution

    |

  13. Two block of masses m(1) and m(2) connected by a light spring rest on ...

    Text Solution

    |

  14. Express the daily intake of a human adult in kiloc alorie

    Text Solution

    |

  15. Express the enenrgy of big bang in eV

    Text Solution

    |

  16. An engine pumps 800 kg of water through height of 10 m in 80 s. Find t...

    Text Solution

    |

  17. The averge work done by a human heart while it beats once is 0.5J. Cal...

    Text Solution

    |

  18. A particle is moving along x-axis under the action of force, F which v...

    Text Solution

    |

  19. The position (x) of body moving along x-axis at time (t) is given by ...

    Text Solution

    |

  20. A 10 metric ton truck drives up a hilly road of gradient 1 in 50 at a ...

    Text Solution

    |