A car of mass 1,700 kg is initially traveling at a speed of 25 m/s. The driver then accelerates to a speed of 35 m/s over a distance of 500 m. Calculate the change in the kinetic energy of the car.
ΔKE=KE2-KE1=
=mv2²/2 –mv1²/2=
=(1700/2)(35²-25²) =...
To calculate the change in kinetic energy of the car, we need to find the initial and final kinetic energies and then subtract the initial value from the final value.
The formula for kinetic energy is:
Kinetic Energy = 1/2 * mass * velocity^2
First, let's find the initial kinetic energy. We already know the mass of the car is 1,700 kg and the initial velocity is 25 m/s.
Initial Kinetic Energy = 1/2 * 1,700 kg * (25 m/s)^2
Calculating this expression gives us the initial kinetic energy.
Next, let's find the final kinetic energy. We know the final velocity is 35 m/s, and we need to calculate the final kinetic energy using the same formula.
Final Kinetic Energy = 1/2 * 1,700 kg * (35 m/s)^2
Calculating this expression gives us the final kinetic energy.
Finally, to find the change in kinetic energy, subtract the initial kinetic energy from the final kinetic energy:
Change in Kinetic Energy = Final Kinetic Energy - Initial Kinetic Energy
By substituting the values, you can calculate the change in the kinetic energy of the car.