an object moving at a speed of 1m/s has a kinetic energy of 5 J what is its kinetic energy when it moves at 3m/s
Hi dear, KE = 1/2 mv^2. Hope you'll be able to do it now.
5 J = 1/2 *m*1, solving this, mass of the body is 10kg. Now, KE = 1/2 mv^2 implies 1/2 * 10 * 3^2 = 45 J
To calculate the kinetic energy of an object, you can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
In this case, we are given that the initial velocity is 1 m/s and the initial kinetic energy is 5 J. However, the mass of the object is not provided. To calculate the kinetic energy at a different velocity, we also need the mass of the object.
Once the mass is known, we can plug it into the formula along with the new velocity to calculate the new kinetic energy.
Let's assume that the mass of the object is 1 kg for simplicity. We can now calculate the initial and final kinetic energies.
Initial kinetic energy:
Kinetic Energy 1 = (1/2) * mass * velocity^2
Kinetic Energy 1 = (1/2) * 1 kg * (1 m/s)^2
Kinetic Energy 1 = 0.5 * 1 kg * 1 m^2/s^2
Kinetic Energy 1 = 0.5 J
Now, let's calculate the final kinetic energy when the object moves at 3 m/s.
Final kinetic energy:
Kinetic Energy 2 = (1/2) * mass * velocity^2
Kinetic Energy 2 = (1/2) * 1 kg * (3 m/s)^2
Kinetic Energy 2 = 0.5 * 1 kg * 9 m^2/s^2
Kinetic Energy 2 = 4.5 J
Therefore, the kinetic energy of the object when it moves at 3 m/s is 4.5 J.