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A Tesla Model S (with a mass of 2.2 x 103 kg) can accelerate from rest to
60 mph (27 m/s) on a horizontal track in 2.4 seconds.

a.Calculate the KEf


b.Calculate its power in Watts and in horsepower (1.0 hp = 745 W)

Sagot :

rafaleo84

Answer:

See the answers below.

Explanation:

a) KEf, This term refers to the final kinetic energy i.e. when the velocity has reached 27 [m/s].

To calculate this energy we must use the following equation that relates velocity and mass to kinetic energy.

[tex]E_{kin}=\frac{1}{2} * m*v^{2}[/tex]

where:

m = mass = 2.2*10³[kg]

v = velocity = 27 [m/s]

[tex]E_{kin}=\frac{1}{2} *2.2*10^{3}*(27)^{2}\\E_{kin}=801900[J][/tex]

b)

Power is defined as the amount of energy or work done over a certain time, it can be calculated by means of the following equation.

[tex]P=E_{kin}/t[/tex]

where:

t = time = 2.4 [s]

P = Power [W]

Now replacing:

[tex]P=801900/2.4\\P=334125[W]\\Now in Hp\\334125[w]*\frac{1hp}{745w} \\= 448.5[hp][/tex]

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