how much work is done in accelerating a 2000 kg car from rest to a speed of 30 m/s?

Question

how much work is done in accelerating a 2000 kg car from rest to a speed of 30 m/s?

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Verity 6 months 2021-08-24T21:32:34+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-08-24T21:34:26+00:00

    The work done is the same as the amount of energy increase. The formula for kinetic energy is 122
    1
    2
    m
    v
    2
    .

    The initial KE of the car is 12(1000)×202=200,000
    1
    2
    (
    1000
    )
    ×
    20
    2
    =
    200
    ,
    000
    joules.

    The final KE of the car is 12(1000)×302=450,000
    1
    2
    (
    1000
    )
    ×
    30
    2
    =
    450
    ,
    000
    joules.

    The difference between these is the amount of work done: 450,000−200,000=250,000
    450
    ,
    000

    200
    ,
    000
    =
    250
    ,
    000
    joules.
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