What is the energy required to accelerate a 1600 kg car from rest to 33 m/s?
E= mv²/2
To determine the energy required to accelerate a car, we need to use the concept of kinetic energy. The kinetic energy (KE) of an object is given by the equation:
KE = (1/2) * m * v^2
Where:
KE is the kinetic energy
m is the mass of the object
v is the velocity of the object
In this case, the mass of the car is given as 1600 kg and the final velocity is 33 m/s. We need to find the energy required to accelerate it from rest (initial velocity is 0 m/s) to its final velocity.
First, calculate the kinetic energy:
KE = (1/2) * m * v^2
= (1/2) * 1600 kg * (33 m/s)^2
= 1/2 * 1600 kg * 1089 m^2/s^2
= 1/2 * 1737600 kg*m^2/s^2
= 868800 kg*m^2/s^2
Therefore, the energy required to accelerate the 1600 kg car from rest to 33 m/s is 868,800 Joules.