The Kinetic energy (k)of a moving object varies jointly with it mass (m) and the square of its velocity (v).If an object has a mass of 22.5 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 joules, find it kinetic energy when the velocity is 32 meters per second.

We must solve the problem using any method concept.

It will be (32/20)^2 = 2.56 times the kinetic energy at 20 m/s.

2.56 x 4500 = ____

To solve this problem, we can use the formula for kinetic energy:

k = m * v^2

where k represents the kinetic energy, m represents the mass, and v represents the velocity.

We are given the initial kinetic energy k₁ = 4500 joules, mass m = 22.5 kilograms, and velocity v₁ = 20 meters per second.

We need to find the kinetic energy k₂ when the velocity v₂ = 32 meters per second.

To determine the relationship between the initial and final kinetic energies, we set up a proportion:

k₁ / v₁^2 = k₂ / v₂^2

Substituting the given values:

4500 / 20^2 = k₂ / 32^2

Now we can solve for k₂:

4500 / 400 = k₂ / 1024

Simplifying:

11.25 = k₂ / 1024

To find k₂, we multiply both sides of the equation by 1024:

11.25 * 1024 = k₂

Now, calculate the value of k₂:

k₂ ≈ 11520

Therefore, when the velocity is 32 meters per second, the kinetic energy of the object is approximately 11520 joules.

To solve the problem, we need to use the formula for the kinetic energy of a moving object, which states that the kinetic energy (k) is equal to the mass (m) times the square of the velocity (v).

Given that the object has a mass of 22.5 kilograms and a velocity of 20 meters per second, and its kinetic energy is 4500 joules, we can set up the equation as follows:

k = m * v^2

Substituting the given values into the equation, we have:

4500 = 22.5 * 20^2

To find the kinetic energy when the velocity is 32 meters per second, we can use the same formula and substitute the new velocity value:

k = 22.5 * 32^2

Now, we can calculate the new kinetic energy:

k = 22.5 * 1024
k = 23040 joules

Therefore, when the velocity is 32 meters per second, the kinetic energy of the object is 23040 joules.