It provides the first outline of the philosophical perspective that will develop during the last half of the Industrial-Social Revolution. I'm really stuck on V squared. Your explanation helps but I think you are missing the forest for the trees though On an intuitive level one would expect that if one drove a car into a wall at twice the speed it would hit twice as hard.
Not four times as hard. This counter intuitive physical impact force doesn't happen because there are tow V's in the equation when you rearrange it. But rather indicates something strange and counter-intuitive is going on. Gravity is indistinguishable from acceleration. Motion in constant gravity is constantly accelerating.
Comment god particle god particle: So glad to hear from you. According to my assumptions, you were not supposed to exist.
The velocity of the microcosm has to decrease from v to 0. In either case, we must hold fast to the Fifth Assumption of Science, conservation Matter and the motion of matter can be neither created nor destroyed and the Fourth Assumption of Science, inseparability Just as there is no motion without matter, so there is no matter without motion.
When the macrocosm presents an impenetrable barrier, the motion of the microcosm stops. Whether calculated as either momentum, force, or kinetic energy, all will be reduced to zero during the collision when the velocity drops to zero.
According to conservation, of course, that motion must go somewhere, perhaps as internal submicrocosmic motion of the microcosm and vibratory motion of the macrocosm. If the microcosm was a vehicle, we would use the brakes to decrease its velocity to zero. The motion of the vehicle is transmitted to the brakes, tires, and pavement, generally appearing as the vibratory motion we call heat. Again, the second v shows up in the equation because we use it to calculate the displacement produced by the collision.
Post a Comment. From henk:. Glenn, thanks for your answers. I am still thinking about kinetic energy. In the 17th century, experiments by Willem Jacob 's Gravesande showed that the striking of a ball in clay was proportional to squared velocity and later on a French physician showed it was proportional to 'mass times squared velocity'.
What is it about, is my question? You have restored harmony to my world. However, now understand the derivation: 1. Energy is conserved!! I love it. However, I am just an engineer, did I break any rules of math or physics in my derivation? Hey Andy B , there is indeed twice the energy in the first crash, before the crash. After the crash there is still energy as assuming the same size cars one has decelerated from down to 50, while the other gains energy going from 0 to If you do the calcs you find there is still half the energy left in the system so the energy loss is the same, so the damage is the same.
I admit, I did have to think about it a bit and fire up the spread sheet! Stu H. If you applied a Fy force on the y axis, until the object reach certain Vy on that axis. To the initial amount of Energy which was a function of Vx , we have to ADD the amount of the energy gained with the force Fy which is a function of Vy. JM Garcia. Totally agree! I had thought similar things using pulley gear ratio, and your second point interestingly connects into Pythagoras into the basis for kinetic energy formula which I noticed before is quite necessary and needs Pythagoras to be dependant on component squares in any number of dimensions which of course is true.
So energy conservation sort of forces Pythagoras to use squares and not for example work with cubes in 3D, etc. Admittedly this is a kind of reverse logic. First you have to get the thing moving. This takes hardly any energy. You are not walking or running, just pushing. You get to 1 mph and your are still only moving slowly and mostly just pushing. You get to 5 mph.
You want to get to 6 mph, just 1 mph more. In order to do this you have to push just as hard as you did to get the thing from mph, while running! Another way to think of it is in terms of power. Sorry, maths. When the car is static there is no power, only force.
Until the car actually moves there is no power or energy expended. Every mph added requires more energy to achieve, so for the same power each extra mph take longer to happen.
Regards to all! Notify me of follow-up comments by email. Notify me of new posts by email. There's a book! It's a collection of over fifty of my favorite articles, revised and updated. It is an integral equation. Add a comment. Active Oldest Votes. Improve this answer. Perhaps more obvious to say that you do more work because you apply the force over a longer distance. A force applied for 1 min at an average of 25 mph is applied over a longer distance than when applied for 1 min at an average of 15 mph.
Of course the real answer is that the word "energy" is just defined to make it so. But from 20 to thirty, speed is 1. Featured on Meta. Now live: A fully responsive profile. Linked Hence, when velocity is doubled , kinetic energy becomes 4 times.
The energy an object had due to its motion. What factors affect an objects kinetic energy and potential energy? The kinetic energy of an object depends on both its mass and its speed. Kinetic energy increased as mass and speed are increased. The kinetic energy of an object depends on both its mass and velocity, with its velocity playing a much greater role. Examples of Kinetic Energy : A downhill skier traveling down a hill has a large amount of kinetic energy because of their mass and high velocity.
Kinetic energy can be stored. We know that energy is conserved, i. In these two cases, the kinetic energy is converted to potential energy because while it is not actually doing work, it has the potential to do work. When the temperature of an object increases , the average kinetic energy of its particles increases. When the average kinetic energy of its particles increases , the object's thermal energy increases. Therefore, the thermal energy of an object increases as its temperature increases.
Why is kinetic energy velocity squared? Category: science physics. There are a couple of interesting things about kinetic energy that we can see from the equation. Kinetic energy depends on the velocity of the object squared. This means that when the velocity of an object doubles, its kinetic energy quadruples. What is the formula of velocity? What is the SI unit of speed?
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