How much energy does it take to travel the same distance at different speeds?

Barring wind resistance ... Does it take more energy to travel the same distance but at a faster speed?

I'm looking for some links to physics style proofs.

I believe I'm right on this but can't remember why.

Something about work and mass.How much energy does it take to travel the same distance at different speeds?Yes, it takes more energy to travel at a greater speed, even disregarding friction and wind resistance, since more force - or the same force for more time - has to be applied to accelerate the mass of the object from rest with regard the Earth's surface, to whatever final speed you would like. That amount of energy would not be different for travelling 100 meters or 100 km, but it IS different.How much energy does it take to travel the same distance at different speeds?If you eliminated ALL friction and losses then the only energy consumed is in going up (or down) hill,

E= m g h where h is the distance climbed.



or a change in speed ( kinetic energy)

E= 1/2 m (v2^2 - v1^2)



Which means that it simply doesn't take energy to travel a distance at all.

As long as the destination was the same height as the origin and you didn't alter your speed then no energy would be required to travel from England to the US for example.

Once you started moving you could simply sit back and relax until you finally arrived at the other end.



If you allowed some TYPES of friction but not others then if you only retained sliding friction where force is independent of speed the energy used F* d would be the same at all speed.

**************************************鈥?br>






This is quite unrealistic of any known transport device.



Many other forms of friction are velocity sensitive.

Here are just a few examples.



The hysterisis of tyres increases with increasing speed so more friction and more loss.



Human muscles aren't 100% efficient. The kinetic energy of each stride is lost. So the faster the legs move the more energy is lost on each stride.



Water craft push water. The Power given to that water is also proportional to the cube of the speed .

The force given to water is proportional to the square of the speed. So losses increase with speed.



If you accelerate an object to a speed but can't reclaim the energy, all the energy used in the acceleration is lost ( 1/2 m v^2) so the faster you go the more energy is lost.How much energy does it take to travel the same distance at different speeds?GRAHAM has it right.



E = F*d; the velocity doesn't enter into the determination of energy.

If the drag (F) is constant, the power required increases with speed (P = F*V), but since the time to cover the distance is less, the total energy (P*t) comes out the same.How much energy does it take to travel the same distance at different speeds?
For energy to be expended an object must move against some resistance if it is at constant speed. So for your case (no resistance) there is no difference.
The resistance would lead to energy consumed equal to force x distance.

If an object is accelerated then energy is expended = dist. x mass x acc.

arizona weather

just tires