two identical objects move with speeds of 5.0 m s and 25.0 m s. What is the ratio of their kinetic energies?

V2^2/V1^2 = (25/5)^2 = 25

1/5

The kinetic energy of an object is given by the equation:

K = (1/2) * m * v^2

where K is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

Since the two objects are identical, they have the same mass. Therefore, the ratio of their kinetic energies can be calculated using their velocities:

K1/K2 = (1/2)*m*(v1^2)/(1/2)*m*(v2^2)

Simplifying the equation, we get:

K1/K2 = v1^2/v2^2

Given that v1 = 5.0 m/s and v2 = 25.0 m/s, we can substitute these values into the equation:

K1/K2 = (5.0 m/s)^2 / (25.0 m/s)^2

Calculating this ratio, we get:

K1/K2 = 0.04

Therefore, the ratio of their kinetic energies is 0.04.

To find the ratio of the kinetic energies of the two objects, we need to use the formula for kinetic energy:

Kinetic Energy = (1/2) * mass * velocity^2

Since the objects are identical, we can assume they have the same mass. Let's say the mass is represented by m.

For the first object with a speed of 5.0 m/s, the kinetic energy (KE1) will be:

KE1 = (1/2) * m * (5.0)^2

For the second object with a speed of 25.0 m/s, the kinetic energy (KE2) will be:

KE2 = (1/2) * m * (25.0)^2

To find the ratio of the kinetic energies, we can divide KE2 by KE1:

Ratio of kinetic energies = KE2 / KE1

Substituting the values:

Ratio of kinetic energies = [(1/2) * m * (25.0)^2] / [(1/2) * m * (5.0)^2]

The mass (m) cancels out, and we are left with:

Ratio of kinetic energies = (25.0)^2 / (5.0)^2

Simplifying further:

Ratio of kinetic energies = 625 / 25

Ratio of kinetic energies = 25

Therefore, the ratio of their kinetic energies is 25.