Answer:
The kinetic energy of the larger car is two times that of the smaller car
Explanation:
Kinetic Energy
Is the energy an object has due to its state of motion. It's proportional to the square of the speed.
The equation for the kinetic energy is:
[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]
Where:
m = mass of the object
v = speed at which the object moves
The kinetic energy is expressed in Joules (J)
It's required to compare the kinetic energy of two cars K1 and K2. Car 2 has twice the mass of car 1: m2=2m1, and they have the same speed.
The kinetic energy of car 1 is:
[tex]\displaystyle K_1=\frac{1}{2}m_1v^2[/tex]
The kinetic energy of car 2 is:
[tex]\displaystyle K_2=\frac{1}{2}m_2v^2[/tex]
Substituting the relation of the masses:
[tex]\displaystyle K_2=\frac{1}{2}(2m_1)v^2[/tex]
Rearranging:
[tex]\displaystyle K_2=2\left(\frac{1}{2}m_1v^2\right)[/tex]
Substituting the kinetic energy of car 1:
[tex]\displaystyle K_2=2K_1[/tex]
The kinetic energy of the larger car is two times that of the smaller car
