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an 800kg race car accelerates uniformly from rest to 15m/s in 3s. solve for work. how much power is delivered by the engine during this time?

Respuesta :

Answer:

The work done is 90kJ, with power delivered 30kJ/s.

Explanation:

Work done is proportional to the product of force and displacement. Assuming the motion is in a straight line and the force acts along that line only, the work is calculated as follows:

[tex]W = F\cdot d=\frac{1}{2}m(at)^2=\frac{1}{2}mv^2\\W=0.5\cdot 800kg\cdot 15^2\frac{m^2}{s^2}=90000J[/tex]

The work done is 90kJ.

The power is work done per time unit:

[tex]P = \frac{W}{\Delta t}=\frac{90000J}{3s}=30kJ/s[/tex]

The power delivered in the 3 seconds is 30kJ/s