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The velocity-time graph of a particle mo...

The velocity-time graph of a particle moving in a straight line is shown in figure. The mass of the particle is `2kg`. Work done by all the forces acting on the particle in time interval between `t=0` to `t=10s` is

A

(a) `300J`

B

(b) `-300J`

C

(c) `400J`

D

(d) `-400J`

Text Solution

Verified by Experts

The correct Answer is:
A

From work-energy theorem,
`W=DeltaKE=K_f-K_i=1/2m(v_f^2-v_i^2)`
`=1/2xx2[(-20)^2-(10)^2]=300J`
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Knowledge Check

  • Velocity-time graph of a particle moving in a straight line is shown in the figure. Mass of the particle is 2 kg. Work done by all the forces acting on the particle in time interval t = 0 to t = 10 sec is

    A
    300J
    B
    `-300J`
    C
    zero
    D
    `-400 J`
  • The velocity time plot for a particle moving on straight line is shown in the figure.

    A
    The particle has a constant acceleration
    B
    The particle has nevedr turned around
    C
    The paeticle has zero displacement.
    D
    The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20s.
  • The velocity- time plot for a particle moving on a straight line is shown in the figure

    A
    the particle has a non uniform acceleration
    B
    the particle has never turned around
    C
    the particle has zero displacement
    D
    the average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20 s
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