If you have ever driven a sports car and a minivan you know that they don\'t acc

Question

If you have ever driven a sports car and a minivan you know that they don't accelerate the same. What force would it take to accelerate 700kg sports car from 0 to 60mph in 5 seconds?

If you were driving a 220kg station wagon from 0 to 60 mph in 10.5s, what force would be require to do this?

Now, if you used the engine from the sports car in the minivan, what would the resulting acceleration of the minivan be?

Explanation / Answer

F = MA, the key here is finding our acceleration. Acceleration = dv/dt, so we have 60/5 = 12 m/s^2 is your average acceleration. So F = (700kg)(12m/s^2) = 8400 N, the answer to the first part. For the second part, we do the same thing: Acceleration = dv/dt, so we have 60/10.5 = 5.71 m/s^2 So F = (220kg)(5.71m/s^2) = 1257.14 N, the answer to the second part. For the last part, the minivan weighs 220kg. We know the sports car engine is capable of outputting 8400N of force, so just plug into F = MA and solve for A. 8400N = (220kg)(A) => A = 38.18 m/s^2, the answer to the last part. Hope that helps, let me know if you have any questions.

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