Finding force to accerate with given speed and time

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To determine the force required to accelerate a 1000 kg automobile from 10 m/s to 50 m/s in 8 seconds, the correct approach involves calculating the acceleration first. The change in velocity is 40 m/s, and dividing this by the time of 8 seconds gives an acceleration of 5 m/s². Using the formula F = ma, the necessary force can be calculated as F = 1000 kg * 5 m/s², resulting in a force of 5000 N. The initial attempt incorrectly calculated the force without properly determining the acceleration. Understanding the relationship between force, mass, and acceleration is crucial for solving such problems.
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Homework Statement


An automobile of mass 1000 kg is traveling 10 m/s. What force is necessary to accelerate it to 50 m/s in 8 sec?


Homework Equations



Used Sigma(F) = (m)(a)

Sigma F = force
m = mass
a = acceleration


The Attempt at a Solution



F = ma
Sigma F = (1000)(50-10)
And that number is way too high. I don't really know how to approach this problem or even what I should use. Please help. Thank You.
 
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First you need to calculate the acceleration properly. 50-10 m/s is the change in velocity. What's the acceleration?
 

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