Answer:
8
Explanation:
Kinetic energy (KE) is equal to half the mass (m) times the square of the speed (v).
KE = ½ mv²
If the mass of the lighter car is M, and its speed is V, then its kinetic energy is:
KE₁ = ½ MV²
If the heavier car has a mass 2M and a speed 2V, then its kinetic energy is:
KE₂ = ½ (2M) (2V)²
KE₂ = 4 MV²
The ratio is:
KE₂ / KE₁ = (4 MV²) / (½ MV²)
KE₂ / KE₁ = 8
The heavier car has 8 times more kinetic energy than the lighter car.
