Question

what is work done to increase the velocity of car from 60km/h to 80km/h if mass of the car is 2000 kg

Answer 1

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Answer 2

Answer:

If the mass of the car is 2000 kg, the work done to increase the velocity of the car from 60km/h to 80km/h will be $216050.6173\ J$

Explanation:

Consider the work-energy theorem to solve this problem.

Work done = Change in kinetic energy

W = Δ K.E                                 ...(1)

Let m be the mass and v is the velocity of the object. Then the expression for kinetic energy is given by,

Kinetic energy (K.E) = $\frac{1}{2} m V^{2}$      ...(2)

Change in K.E = $\frac{1}{2}m\ \Delta V$

Where $\Delta V = v-u$

u - initial velocity

v- final velocity

So the equation(1) becomes,

$W = \frac{1}{2}m\times (v^{2} -u^2)$                   ...(3)

In the question, it is given that,

$m = 2000\ kg$

$u= 60\ km/h = 60\times \frac{5}{18} = 16.6666\ m/s$

$v= 80\ km/h = 80\times \frac{5}{18} = 22.2222\ m/s$

Substitute the values into equation (2),

$W = \frac{1}{2}\times 2000\times (22.2222^2-16.6666^2) = 216050.6173 \ J$

Thus the work done   $216050.6173\ J$