Introduction
Once again welcome to physical science grade 10. Please watch the video below for insight before getting into the task.
Task
A cart is on a roller coaster ride between point A,B and C.
The cart passes point A at a speed of 6 m/s. Point A IS 10 m high, B is 5 m high and C 20 m high. consider the cart as an isolated system. Ignore friction and air resistance.
- Define mechanical energy.
- Explain what is meant by an isolated system.
- How does the mechanical energy at point A compare to that at point B? explain your answer.
- If the cart and its passengers together have a mass of 600 kg, calculate the total mechanical energy of the cart and its passengers.
- Calculate the speed of the cart at point B.
- Determine whether the cart has enough mechanical energy to reach point C without the help on an engine.
Process
- Define all the concepts under mechanical energy and understand what they truly mean, and how can they be applied in real life.
- Define isolated systems and mechanical energy.
- Calculate mechanical energy, gravitational potential energy and kinetic energy by using relevant formulas.
- Gravitational potential energy is defined by the energy an object has due to its position relative to some point of reference, given by the formula Ep=mgh, with m as mass g as gravitational constant and h as the height.
- kinetic energy can be defined as the energy an object has due to its motion , given by the formula Ek=1/2mv^2. with m as mass and v the velocity of an object squared.
- conservation of mechanical energy : The total mechanical energy of an object in a closed system remains constant taken into consideration that air friction and resistance are ignored.
- MECHANICAL ENERGY BEFORE IS EQUAL TO MECHANICAL ENERGY AFTER.
- MAKE USE OF THE LINK BELOW FOR CLARITY.
- https://youtu.be/62J1vn9NeLU
Evaluation
| Defining mechanical energy and isolated system. | 3 Marks each. |
| Correct calculation and formula for calculating mechanical energy. | 4 Marks. |
| Correct calculation of speed an formula at point B. | 4 Marks. |
|
Correct calculations and stating whether the cart will reach point C or not. |
4 Marks. |
Conclusion
- By the end of this lesson each learner should be able to define mechanical energy, kinetic energy, potential energy, gravitational potential energy and conservation of mechanical energy.
- Be able co calculate the energies using the correct formulas.
- Calculate the mechanical energy of an object before and after in a closed system.