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In mechanical point of view, energy due to movement is called kinetic energy.

The general formula for kinetic energy is:

Ek = mv2 / 2, where:

m is the mass of body,

v is it's speed.

Read below for considerations of energy in example system of vehicle:

The simple answer would be to say force = mass x acceleration and energy (as work done) =force x distance. In practice ( for example a car driving along a road ) there are several components, the above component, simply put, applying to the car travelling in a straight line, without any inclination. For a vehicle travelling uphill the force necessary just to climb the hill would be m x g x the sin of the angle of inclination where m= mass and g = acceleration due to gravity = 9.81 m/s2. You would then need to multiply this by the length of the hill (horizontally) to work out the necessary energy. The third component would be the energy needed to overcome friction, which is a complex mix of rolling resistance, air resistance and resistance of the moving parts creating the drive.

With the first part you need to remember that a change of direction as well as a change in speed equates to an acceleration. With the second part this is likely to be an added component as most hills twist and turn and all downhill energy will be wasted as heat unless your vehicle(as with some electric vehicles ) can geerate electricity when braking.

If the question is about saving fuel then consider the following:-

# Don't buy any vehicle bigger tha it needs to be. # The engine needs to be small but not so small that you need to be using the lower gears frequently # Plan journeys with as many flat and straight stretches as possible (motorways generally). # Try to avoid congestion - without going to far out of your way. # Keep acceleration and braking to a minimum, driving smoothly in the highest gear that conditions will allow without straining the engine. # Avoid any uneccersary weight and wind resistance such as roof bars. # Make sure the vehicle is serviced regularly to maintain it's efficiency. Back to the original question Force = (m x a) + (m x g x sin theta) + m x (co-efficient of friction) and energy = force x distance.

f=Force

m= mass

a=Acceleration

g =Acceleration due to gravity

theta = angle of inclination

co-efficient of friction (dynamic) is the overall resistance of the body to keep moving once it is moving. (Vehicle manufacturers may give some figures on this, but in practice no two vehicles are goin to be alike) .

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