Considering the definition od kinetic energy, the velocity of the car is 2 m/s.
First of all, you must know that kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Kinetic energy is represented by the following expression:
Ec = ½ mv²
Where Ec is kinetic energy, which is measured in Joules (J), m is mass measured in kilograms (kg), and v is velocity measured in meters over seconds (m/s).
In this case, you know:
- Ec= 2×10³ J
- m= 1000 kg
- v= ?
Replacing in the expression for kinetic energy:
2×10³ J= ½ ×1000 kg× v²
Solving:
v²= 2×10³ J÷ (½ ×1000 kg)
v²= 2×10³ J÷ 500 kg
v²= 4 m²/s²
v=√4 m²/s²
v= 2 m/s
Finally, the velocity of the car is 2 m/s.
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