Mechanical Energy
Completion requirements
1. Kinetic Energy
Learning outcomes
- I can define kinetic energy as the energy associated with motion.
- I can explain how an object's mass and speed affect its kinetic energy.
- I can recall and use the equation\( E_k = \frac{1}{2}mv^2 \) .
- I can calculate the kinetic energy of moving objects in a variety of situations.
- I can analyze how changes in speed affect kinetic energy and explain why kinetic energy increases rapidly with velocity.
Kinetic Energy
The amount of kinetic energy in a moving object can be calculated using the equation:
Ek=½m v2
where
- Ek is measured in joules (J)
- m is mass measured in kilograms (kg)
- v is speed measured in metres per second (m/s)
An apple of mass 100 g falls from a tree. It reaches a speed of 6 m/s before landing on Isaac’s head. What is the gain of kinetic energy of the apple?
List:
- m = 100g = 0.1kg
- v = 6 m/s
- E = ?
Equation:
Ek=½m v2
Solve:
E = 0.5(0.1)(6)2
E = 1.8J
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