Respuesta :
KE increases by the square of the speed. Since the first car is moving 4 times faster, its KE is 16 times higher
Answer with explanation:
Kinetic Energy of a body is given by the formula
[tex]=\frac{mv^2}{2}[/tex]
Kinetic Energy of Car having speed 60 mph
[tex]\rightarrow K.E_{1}=\frac{m \times (60)^2}{2}\\\\=1800 m[/tex]
Kinetic Energy of Car having speed 15 mph
[tex]\rightarrow K.E_{2}=\frac{m \times (15)^2}{2}\\\\=\frac{225 m}{2}[/tex]
[tex]\Rightarrow\frac{K.E_{1}}{K.E_{2}}=\frac{1800}{\frac{225}{2}}\\\\=8 \times 2\\\\=16[/tex]
Kinetic energy of Car Traveling at 60 mph has 16 times more energy than a car going at 15 mph.