Force of 100 N that produces an accel. of 4.00 m/s2. Determine force needed of accel of 16.0 m/s2?

Question

A force of 100 N applied to an object produces an acceleration of 4.00 m/s2. Determine the force needed to give the object an acceleration of 16.0 m/s2?

Answer 1

Force = mass x acceleration



You're using the same mass in both cases, so you need 4 times the force to get four times the acceleration.



4 x 100N =



400N

Answer 2

Force = mass x acceleration, so you can easily find the mass of the object.

First, rearrange the equation:

mass = force / acceleration

Substitute the numbers:

mass = 100N / 4.00 m/s2

so mass = 25.0 kg.



Then use the mass to find the force for the second part of the problem:

force = mass x acceleration

force = 25.0 kg x 16 m/s2

force = 400 N

Answer 3

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