A 0.5kg ball is thrown over a net and gains 36J of energy. What is the velocity of the ball as it passes over the net?
To calculate the velocity of the ball as it passes over the net, we can use the principle of conservation of energy. The energy gained by the ball is equal to its kinetic energy. The formula for kinetic energy is given by:
Kinetic Energy = (1/2) * mass * velocity^2
We are given the mass of the ball (0.5kg) and the energy gained by the ball (36J). Plugging these values into the formula, we have:
36J = (1/2) * 0.5kg * velocity^2
Now, let's solve for the velocity. First, multiply both sides of the equation by 2 to eliminate the (1/2):
72J = 0.5kg * velocity^2
Next, divide both sides of the equation by 0.5kg to get:
144J/kg = velocity^2
Finally, take the square root of both sides of the equation to solve for the velocity:
velocity = sqrt(144J/kg)
Using a calculator, we find that the velocity is approximately 12 meters per second (m/s). So, the velocity of the ball as it passes over the net is 12 m/s.