A ball thrown vertically upward has a speed of 5.0 m/s at a height of 3.0m. The mass of the ball is 1.2 kg. Find its mechanical energy
answer pls.
To find the mechanical energy of the ball, we can use the formula:
Mechanical Energy = Potential Energy + Kinetic Energy
Potential Energy (PE) is given by the formula:
PE = mass * gravity * height
Kinetic Energy (KE) is given by the formula:
KE = (1/2) * mass * velocity^2
First, let's calculate the potential energy (PE) of the ball:
PE = 1.2 kg * 9.8 m/s^2 * 3.0 m
PE = 35.28 Joules
Next, let's calculate the kinetic energy (KE) of the ball. The velocity of the ball when thrown vertically upwards is 5.0 m/s, so we use this value:
KE = (1/2) * 1.2 kg * (5.0 m/s)^2
KE = 30 Joules
Now, we can find the mechanical energy by adding the potential energy and kinetic energy together:
Mechanical Energy = PE + KE
Mechanical Energy = 35.28 J + 30 J
Mechanical Energy = 65.28 Joules
Thus, the mechanical energy of the ball is 65.28 Joules.