A car mass of 950 kg is initially travelling at 60km/h. Determine the final speed of the car when the speed increases so that it's kinetic energy increased by 165 kJ.
well, KE = 1/2 mv^2
To determine the final speed of the car, we need to use the principle of conservation of energy. The initial kinetic energy (KE1) of the car is given by:
KE1 = (1/2) * mass * velocity^2
Substituting the given values:
KE1 = (1/2) * 950 kg * (60 km/h)^2
Next, we need to determine the final kinetic energy (KE2) of the car by adding the increase in kinetic energy:
KE2 = KE1 + 165 kJ
Now, we can rearrange the equation for KE2 to solve for the final velocity (v2):
v2 = √((2 * KE2) / mass)
Substituting the known values:
v2 = √((2 * 165,000 J) / 950 kg)
Simplifying:
v2 = √(346.32 m^2/s^2)
v2 ≈ 18.6 m/s
Therefore, the final speed of the car when its kinetic energy is increased by 165 kJ is approximately 18.6 m/s.