Respuesta :
Answer:
The ratio of kinetic energies of 5 kg object to 20 kg object is 1:1.
Explanation:
Kinetic energy is defined as energy possessed by an object due to its motion.It is calculated by:
[tex]K.E=\frac{1}{2}mv^2[/tex]
Kinetic energy of the 5 kg object.
Mass of object,m = 5 kg
Velocity of an object = v
[tex]K.E=\frac{1}{2}mv^2=\frac{1}{2}\times 5kg\times v^2[/tex]
Kinetic energy of the 20 kg object.
Mass of object,m' = 20 kg
Velocity of an object = v'
[tex]K.E=\frac{1}{2}mv^2=\frac{1}{2}\times 20kg\times v'^2[/tex]
The ratio of the kinetic energy of the 5 kilogram object to the kinetic energy of the 20-kilogram object:
[tex]\frac{K.E}{K.E'}=\frac{\frac{1}{2}\times 5kg\times v^2}{\frac{1}{2}\times 20kg\times v'^2}[/tex]
Given that, v = 2v'
[tex]\frac{K.E}{K.E'}=\frac{1}{1}[/tex]
The ratio of kinetic energies of 5 kg object to 20 kg object is 1:1.
