A mechanic pushes a 2.40 ✕ 103-kg car from rest to a speed of v, doing 5,430 J of work in the process. During this time, the car moves 29.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car.(a) the speed v  m/s (b) the horizontal force exerted on the car (Enter the magnitude.)

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Asked Dec 21, 2019
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A mechanic pushes a 2.40 ✕ 103-kg car from rest to a speed of v, doing 5,430 J of work in the process. During this time, the car moves 29.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car.

(a) the speed v 
 m/s 

(b) the horizontal force exerted on the car (Enter the magnitude.) 
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Expert Answer

Step 1

Given information:

Mass of the car (m) = 2.4 × 103 kg

The work done in moving the car (W) = 5430 J

The distance through which the car is moved (s) = 29.0 m

Step 2

The velocity (v) of the car after the work is done is given by equating ...

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2(5430) mv? = W → v= = 2.12 m/s 2.4x103 т The force (F) required is given from the equation: 5430 W = F.s → F = 187.24 m 29

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