Explain why engines with equal power accelerate cars with a small mass quicker than cars with large engine.?

Answer 1

The first answer is a pretty good start. More math:

P... Power
F... Force
d... distance
t... time

P = Fd / t

M... mass
a... acceleration

F = Ma
d = at² / 2

Substituting into the formula for P:

P = (Ma) (at²/2) / t = Ma²t/2

From that:

a = square root(2P/Mt)

For a fixed power P, the acceleration a as a function of time t is inversely proportional to the square root of (the car's) mass.

Answer 2

Your question is worded unfortunately a little wrongly. Engines with equal power accelerate cars with a smaller mass quicker. Right. The last part should be than cars with a larger mass.

Power = Energy per second and for the same energy, the smaller mass will have a higher velocity and that means a greater acceleration.

A larger engine may produce more power but if the mass of the car is much larger, the torque and the acceleration will be lesser.

Answer 3

Frequently it is all a matter of gears and ratios as they transmit the raw engine power to the movement of wheels. A big engine with the same gears as a small engine may move the car faster. But that big engine, if geared poorly, can fall behind a smaller engine properly geared.

Answer 4

Less inertia to overcome. Newton's second law: F=MA. And power equals (Force*Distance)/Time. The more mass there is the more force there is needed to get the same acceleration. So if force is kept equal acceleration is less.

Answer 5

momentum=mass*velocity.so,engines with less mass will gain the momentum for acceleration quicker than those with large enginesbut there momentum will be more.

Answer 6

There are no cars in space, silly.