Question

An automotive research facility is testing a new design on bumpers to determine the force at which it will break. The formula for Force is F = 1 2 m v 2 Where m is the mass (weight) and v is the velocity (speed)What is the effect on the force if the velocity changes from 5 miles per hour to 10 miles per hour?

What is the effect on the force if the velocity changes from 5 miles per hour to 10 miles per hour?

Same
Twice as much
Four times as much
Five times as much

Answer 1

Let's call (F1) the force produced with a speed of 5 miles per hour.
Call (F2) the force produced with a speed of 10 miles per hour.
To know what the effect on force is, change the speed from 5 miles per hour to 10 miles per hour, divide F2 / F1 to find the relation.
So:
F2 / F1 = (12m * 10²) / (12m * 5²)
F2 / F1 = 4.
Therefore, the answer is option 3.
Strength increases 4 times more