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The kinetic energy of a body is increase...

The kinetic energy of a body is increased by `21%`. What is the percentage increase in the magnitude of linear momentum of the body?

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To find the percentage increase in the magnitude of linear momentum when the kinetic energy of a body is increased by 21%, we can follow these steps: ### Step 1: Understand the relationship between kinetic energy and momentum The kinetic energy (KE) of a body is given by the formula: \[ KE = \frac{1}{2} mv^2 \] where \( m \) is the mass and \( v \) is the velocity of the body. The linear momentum (p) is given by: ...
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Knowledge Check

  • KE of a body is increased by 44%. What is the percent increse in the momentum ?

    A
    `10%`
    B
    `20%`
    C
    `30%`
    D
    `44%`
  • If the kinetic energy of a body increases by 125% , the percentage increases in its momentum is

    A
    `50%`
    B
    `62.5%`
    C
    `250%`
    D
    `200%`
  • If kinetic energy of a body is increasing then.

    A
    work done by conservative forces must be positive.
    B
    work done by conservative forces may be positive.
    C
    work done by conservative forces may be zero
    D
    work done by non-conservative forces may be zero
  • CENGAGE PHYSICS-WORK, POWER & ENERGY-Exercise 8.2
    1. The kinetic energy of a body is increased by 21%. What is the percenta...

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    2. A particle of mass 0.5kg travels in a straight line with velocity v=ax...

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    3. Can kinetic energy be negative? Explain.

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    4. The kinetic energy of an object depends on the frame of reference in w...

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    5. You are reshelving books in a library. You lift a book from the floor ...

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    6. What is the reason that we burn out our body fat only when we walk bri...

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    7. Figure shows three paths connecting points a and b, A single force F d...

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    8. The potential energy of a conservative force field is given by U=ax^...

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    9. A particle moves in x-y plane in figure under the influence of a frict...

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    10. A single conservative force acting on a particle varies as vecF=(-Ax+B...

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    11. A potential energy function for a two-dimensional force is the form U=...

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    12. For the potential energy curve shown in figure. (a) Determine whethe...

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    13. Is it possible exert a force which does work on a body without changin...

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    14. The kinetic friction force acting on a sliding body moving in a straig...

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    15. A single conservative force acting on a particle varies as vecF=(-Ax+B...

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    16. A block of mass m is placed at the bottom of a massless smooth wedge w...

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    17. A particle is projected in gravity with a speed v0. Using W-E theorem,...

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    18. A block is released from rest from a height h=5m. After travelling thr...

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    19. A block of mass m is connected with a rigid wall by light spring of st...

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    20. Two blocks of masses m1 and m2 inter connected by a spring of stiffnes...

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