Final answer:
The potential energy of an object of mass 50 kg raised to a height of 4 meters above the ground is 2000 Joules. If the object falls from a height of 2 meters, its kinetic energy would be 10000 Joules.
Step-by-step explanation:
To calculate the potential energy of an object, you would use the formula PE = mgh, where m is mass, g is gravity, and h is height. In this case, the object has a mass of 50 kg raised to a height of 4 meters above the ground with g given as 10 m/s^2. So the potential energy would be PE = 50 kg * 10 m/s^2 * 4 m = 2000 Joules.
If the object falls down, the potential energy is converted to kinetic energy. Kinetic energy can be calculated as KE = 1/2 * m * v^2. When the object has fallen through 2 meters, the velocity it attains can be calculated using the equation of motion: v=sqrt(2gh), where g is gravity and h is height. Here, h=2m and g=10 m/s^2, so v=sqrt(2*10*2) = 20 m/s. Substituting m=50 kg and v=20 m/s in the kinetic energy formula gives us KE=0.5*50*20^2=10000 Joules.
Learn more about Potential and Kinetic Energy