Answered: Promotional material for the 2020 C8…

Name: Promotional material for the 2020 C8 Chevrolet Corvette boasts a ''490
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: Promotional material for the 2020 C8 Chevrolet Corvette boasts a ''490 hp engine" and a "zero to 60 mph" time of 3 seconds. The car, with driver weighs 3590 pounds and we assume that 75% of work done by the engine becomes kinetic energy of the car. F

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Promotional material for the 2020 C8 Chevrolet Corvette boasts a ''490 hp engine" and a "zero to 60 mph" time of 3 seconds. The car, with driver weighs 3590 pounds and we assume that 75% of work done by the engine becomes kinetic energy of the car. Find the average power output, in hp, of the engine during its "zero to 60" spirit? ( One pound has a mass of 0.454 kg)

Expert Solution

Step 1

Given data:

Initial speed of the car, $u = 0$

Final speed, $v = 60 mph = 26.82 m/s$

Mass of the car, $m = 3590 \times 0.454 = 1629.86 kg$

Since, 75% work done converted into work done, therefore:

$\begin{array}{rcl} 0.75 \times W_{E} & = & Δ K . E \\ 0.75 \times W_{E} & = & \frac{1}{2} m v^{2} - \frac{1}{2} m u^{2} \\ W_{E} & = & \frac{\frac{1}{2} m v^{2} - \frac{1}{2} m u^{2}}{0.75} \end{array}$

Plugging in the given values:

$\begin{array}{rcl} W_{E} & = & \frac{\frac{1}{2} \times (1629.86) \times {(26.82)}^{2} - 0}{0.75} \\ = & 781586 J \end{array}$

Average power:

$\begin{array}{rcl} P_{a v g} & = & \frac{W_{E}}{t} \\ = & \frac{781586}{3} \\ = & 260528.67 Watt \end{array}$

Answer:

Average power: 260528.67 watt.

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