Application of conservation of mechanical energy for motion on inclined plane – problems and solutions

1. A block slides down on smooth inclined plane without friction. What is block’s velocity when hits the ground. Acceleration due to gravity is 10 m/s2

Application of conservation of mechanical energy for motion on inclined plane 1Known :

Height (h) = 8 m

Acceleration due to gravity (g) = 10 m/s2

Wanted : velocity (v)

Solution :

Initial mechanical energy (MEo) = gravitational potential energy (PE)

MEo = PE = m g h = m (10)(8) = 80 m

Final mechanical energy (MEt) = kinetic energy (KE)

MEt = KE = ½ m v2

Principle of conservation of mechanical energy states that the initial mechanical energy = the final mechanical energy :

MEo = MEt

80 m = ½ m v2

80 = ½ v2

160 = v2

v = √160 = √(16)(10) = 4√10 m/s

Read :  Electric field – problems and solutions

2. A 1-kg object slides down along 8 meters. Determine kinetic energy after the object moves along 5 meters… Acceleration due to gravity g = 10 m/s2

Application of conservation of mechanical energy for motion on inclined plane 2Known :

Mass (m) = 0.2 kg

d = 5 meters

Acceleration due to gravity (g) = 10 m/s2

Wanted : kinetic energy (KE)

Solution :

sin 30o = h / d

0.5 = h / 5

h = (0.5)(5) = 2.5 meters

The change in height of the object is 2.5 meters.

The initial mechanical energy (MEo) = the gravitational potential energy (PE)

MEo = PE = m g h = (1)(10)(2.5) = 25 Joule

The final mechanical energy (MEt) = kinetic energy (KE)

MEt = KE

The principle of conservation of mechanical energy states that the initial mechanical energy = the final mechanical energy :

MEo = MEt

25 = KE

Kinetic energy = 25 Joule.

  1. Work done by force problems and solutions
  2. Work-kinetic energy problems and solutions
  3. Work-mechanical energy principle problems and solutions
  4. Gravitational potential energy problems and solutions
  5. The potential energy of elastic spring problems and solutions
  6. Power problems and solutions
  7. Application of conservation of mechanical energy for free fall motion
  8. Application of conservation of mechanical energy for up and down motion in free fall motion
  9. Application of conservation of mechanical energy for motion on a curved surface
  10. Application of conservation of mechanical energy for motion on an inclined plane
  11. Application of conservation of mechanical energy for projectile motion