Question

In a previous problem, you calculated how much energy was needed to accelerate a 2,100-kg Tesla Model S from 0 to 100 km/hr, and found that the value was not dependent on how long it took. However, the power is! Unlike gas engines, electric engines supply equal power regardless of their speed. A Tesla Model S is capable of generating 345 kW of power. Assuming no losses of energy to friction, what is the minimum length of time it takes to accelerate a Tesla Model S from rest to 100 km/hr?

Answer 1

Answer:

t=2.348s

Explanation:

First we need to calculate the Potential Energy of a Tesla to reach the 100km/h

So we know that,

$W=KE_f - KE_i = \frac{1}{2}m(V_f^2-V_i^2)=\frac{1}{2}(2100)(27.78^2)$$W=8.1*10^5J$

Here we can to calculate the time through,

$t=\frac{W}{P}$

$t=\frac{8.1*10^5}{345*10^3}$

$t=2.348s$