> If two cars are welded together, will they go twice as fast, or accelerate twice as fast?

If two cars are welded together, will they go twice as fast, or accelerate twice as fast?

Posted at: 2015-01-07 
legit wondering, please help

Interesting question. No they will not.



Let's say each car weighs 5,000 pounds. Each car has an engine designed to push that amount of weight. If you weld the cars together, that would make 10,000 pounds and you would have two engines to push that total weight.





Imagine two equally matched cars drag racing. If they take off at the same time, they would both stay next to each other the whole way. So if the two cars were attached they would reach the finish line at the same time, just the same as if they were separated.





Realistically two cars are rarely exactly the same so where if one car would be faster separated, then when attached, the faster car would be slowed by the slower car and the slower car would be pulled faster by the faster car making their speed equal.

Basic Newton mechanics:



F = m * a



F: Force



m: mass



a: acceleration





V = a* t



V: velocity



a: acceleration



t: time





A single car will increase its velocity according to acceleration. Acceleration depends on Force and mass of that car. Here force occurs between the road and the tires, due to the rotation of the tires (Torque). So you can simply consider F = m*a.



You can simply think that a single car is accelerated by a = F/m



So, if you welded two cars together, the force will be doubled (2F), also the combined mass will be doubled (2m). See what will the acceleration be:



acceleration = 2F/2m = F/m



As you can see above, whether a single car, or welded two cars; both the accelerations will be the same. Since acceleration is same, the velocities will be the same.

As Wes says, they will not accelerate faster because the horsepower to weight ratio is the same. Theoretically, assuming they were connected front to back, they could have a faster top speed because the horsepower would be doubled, but the wind resistance would not be greatly increased. However, the maximum speed would be limited by the max rpm of the engines before the vehicle reached its theoretical max speed. Also, because of differences in performance characteristics of the engines and drive trains, it would be difficult to coordinate the engine speeds so that the drive wheels all ran exactly at the same speed. If not precisely coordinated, the engines would be fighting each other and much efficiency could be lost.

Based on "slip streaming" in races, the combined vehicle will go a little faster with both engines running at the same power level. But the savings are only in reduced air friction.





They will accelerate the same as each vehicle alone, and only go a little faster, certainly not twice as fast.

No neither is correct, why would the vehicle go any faster. It will increase the torque available to pull things but the vehicle will be very heavy and probably slower as a result.

Of course not. Have you ever seen a race car done this way?

lol

legit wondering, please help