beil:
Picture yourself travelling along a straight highway at 100 miles per hour.
Now, picture another car travelling along the same highway. At some point, it pulls over to the side and comes to a complete stop.
An observer on the roadside calculates the kinetic energy of the car when it is stopped on the roadside. He uses the formula K=(1/2)mv^2, where m is the mass of the car and v is its speed. Since v=0, he calculates the kinetic energy of the car to be exactly zero.
Now, the car pulls out onto the highway and accelerates in the same direction the car you are in is travelling. It speeds up until it is going at 100 miles per hour along the highway. Coincidentally, it reaches that 100 mph speed just as you're passing it, and then it stays alongside you in the next lane, going the same speed you're going.
The guy on the roadside behind you again calculates the car's kinetic energy. This time v=100 mph, so the car has much more kinetic energy than it did before. Kinetic energy has been added to the car.
Here's the thing...
Think about your calculation of that other car's kinetic energy. When that car is stopped on the roadside, then according to you, who is travelling along in your car, that car is actually travelling backwards, relative to your car, at 100 mph. So, as far as you're concerned, that car has a lot of kinetic energy when it is on the roadside.
When that same car is travelling next to you in the next lane, doing 100 mph relative to the road, its speed relative to your car is exactly zero. It's not moving, relative to your car. It's just sitting there in the same place, in the next lane. So, at this point you calculate its kinetic energy to be exactly zero.
Summary: in your frame of reference, that other car's kinetic energy decreased from a large value to exactly zero during its trip along the highway. Whereas, that other car's kinetic energy increased from exactly zero to a large value, in the reference frame of the guy on the side of the road.
My question to you, then, is: where is that "stored" kinetic energy you mentioned? It seems that the two observers in this example can't agree on how much "stored" kinetic energy the car has at any particular time. One says it has none at the same time that the other says it has heaps, and vice versa.
How do you account for this, if energy is real stuff that can power things, etc.?
4) Velocity is achieved through application , expenditure of Energy by the accelerator. thus the expended, added energy is now stored in the moving body, That stored energy will be released when the movement stops. ouch.
Here's a thought experiment for you.We do not need to derive the kinetic energy, it is already there.
Picture yourself travelling along a straight highway at 100 miles per hour.
Now, picture another car travelling along the same highway. At some point, it pulls over to the side and comes to a complete stop.
An observer on the roadside calculates the kinetic energy of the car when it is stopped on the roadside. He uses the formula K=(1/2)mv^2, where m is the mass of the car and v is its speed. Since v=0, he calculates the kinetic energy of the car to be exactly zero.
Now, the car pulls out onto the highway and accelerates in the same direction the car you are in is travelling. It speeds up until it is going at 100 miles per hour along the highway. Coincidentally, it reaches that 100 mph speed just as you're passing it, and then it stays alongside you in the next lane, going the same speed you're going.
The guy on the roadside behind you again calculates the car's kinetic energy. This time v=100 mph, so the car has much more kinetic energy than it did before. Kinetic energy has been added to the car.
Here's the thing...
Think about your calculation of that other car's kinetic energy. When that car is stopped on the roadside, then according to you, who is travelling along in your car, that car is actually travelling backwards, relative to your car, at 100 mph. So, as far as you're concerned, that car has a lot of kinetic energy when it is on the roadside.
When that same car is travelling next to you in the next lane, doing 100 mph relative to the road, its speed relative to your car is exactly zero. It's not moving, relative to your car. It's just sitting there in the same place, in the next lane. So, at this point you calculate its kinetic energy to be exactly zero.
Summary: in your frame of reference, that other car's kinetic energy decreased from a large value to exactly zero during its trip along the highway. Whereas, that other car's kinetic energy increased from exactly zero to a large value, in the reference frame of the guy on the side of the road.
My question to you, then, is: where is that "stored" kinetic energy you mentioned? It seems that the two observers in this example can't agree on how much "stored" kinetic energy the car has at any particular time. One says it has none at the same time that the other says it has heaps, and vice versa.
How do you account for this, if energy is real stuff that can power things, etc.?