Calculating Loss of Kinetic Energy and Power Dissipated During Braking

In summary, to calculate the loss of kinetic energy during braking and the power dissipated as heating in the brake, you can use the formula ke=1/2mv^2 and work done =force x distance. If the braking force is not constant, you can integrate the dot product of the force vector and the differential x-vector. To find the power of heat generation, you will need to calculate the amount of energy dissipated per unit of time.
  • #1
xto
5
0
What formula should i use to calculate
the loss in kineti energy during braking and
the power dissipated as heating in the brake
do i just use ke=1/2mv^2 and work done =force x distance ?
 
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  • #2
xto said:
What formula should i use to calculate
the loss in kineti energy during braking and
the power dissipated as heating in the brake
do i just use ke=1/2mv^2 and work done =force x distance ?
Yes. The braking force x stopping distance (assuming constant braking force) is equal to the loss of kinetic energy of the vehicle.

AM
 
  • #3
Andrew Mason said:
Yes. The braking force x stopping distance (assuming constant braking force) is equal to the loss of kinetic energy of the vehicle.
And if it's not constant, you can integrate the dot product of the force vector and the differential x-vector.

If you want the power of heat generation, you will need to find how much energy is being dissipated (i.e. how much kinetic energy is lost) per unit of time.
 

FAQ: Calculating Loss of Kinetic Energy and Power Dissipated During Braking

1. What is loss in kinetic energy?

Loss in kinetic energy refers to the decrease in the amount of energy an object has due to factors such as friction, air resistance, and collisions with other objects. It is a result of the conversion of kinetic energy into other forms of energy, such as heat or sound.

2. How is loss in kinetic energy calculated?

The loss in kinetic energy can be calculated using the formula: Loss in kinetic energy = Initial kinetic energy - Final kinetic energy. The initial kinetic energy is the energy an object has before any losses occur, while the final kinetic energy is the energy remaining after losses have taken place.

3. What are the effects of loss in kinetic energy?

The effects of loss in kinetic energy depend on the situation. In most cases, it results in a decrease in the speed and motion of an object. This can affect the performance of machines, the accuracy of measurements, and the efficiency of systems.

4. Can loss in kinetic energy be prevented?

In most cases, it is difficult to completely prevent loss in kinetic energy. However, it can be minimized by reducing factors such as friction and air resistance. Additionally, choosing more efficient designs and materials can help reduce the amount of energy lost.

5. How does loss in kinetic energy affect potential energy?

Loss in kinetic energy can lead to an increase in potential energy. This is because the energy that is lost is usually converted into other forms, such as potential energy. For example, when a ball is thrown into the air, it loses kinetic energy due to air resistance, but gains potential energy as it reaches a higher altitude.

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