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8 February, 20:51

A 2100 kg car starts from rest and accelerates at a rate of 2.6 m/s2 for 4.0 s. Assume that the force acting to accelerate the car is acting in the same direction as its motion. How much work has the car done?

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  1. 8 February, 23:58
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    When the system is experiencing a uniformly accelerated motion, there are a set of equations to work from. In this case, work is energy which consist solely of kinetic energy. That is, 1/2*m*v2. First, let's find the final velocity.

    a = (vf - v0) / t

    2.6 = (vf - 0) / 4

    vf = 10.4 m/s

    Then W = 1/2 * (2100 kg) * (10.4 m/s) 2

    W = 113568 J = 113.57 kJ
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