Mechanical Energy 2

Mechanical Energy Problems

1. An object with a mass of 5 kg is at a height of 10 meters above the ground. Given that the acceleration due to gravity is g = 10 m/s², determine the mechanical energy of the object.
2. A ball with a mass of 2 kg falls freely from a height of 30 meters. If g = 10 m/s², when the ball reaches a height of 10 meters from the ground, calculate:
   1. Its velocity
   2. Its kinetic energy
   3. Its potential energy
3. An object falls from a height of 6 meters above the ground. What is the velocity of the object when it reaches a height of 1 meter from the ground, if the acceleration due to gravity is 10 m/s²?
4. A bullet with a mass of 100 grams is fired vertically upward from the ground with a velocity of 80 m/s. If g = 10 m/s², calculate:
   1. The maximum height reached by the bullet
   2. The energy of the bullet at its highest point
   3. The kinetic energy of the bullet at a height of 40 m from the ground
5. An object initially on the ground is thrown vertically upward with an initial velocity of V = 20 m/s. If the mass of the object is 3 kg and g = 10 m/s², calculate:
   1. The height reached by the object
   2. The kinetic energy of the object at a height of 8 m above the ground

Answer

Answers to the mechanical energy problems:

1. The mechanical energy of the object is 500 J.
2. a. The velocity of the ball at 10 meters height is 20 m/s.
   b. The kinetic energy of the ball is 400 J.
   c. The potential energy of the ball is 200 J.
3. The velocity of the object at 1 meter height is 10 m/s.
4. a. The maximum height reached by the bullet is 320 m.
   b. The energy of the bullet at its highest point is 320 J.
   c. The kinetic energy of the bullet at 40 m height is 280 J.
5. a. The height reached by the object is 20 m.
   b. The kinetic energy of the object at 8 m height is 360 J.

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