A force is applied to a 2.6 kg mass and produces 2.7 m/s^2 acceleration. What acceleration would be produced by the same force applied to 14.9 kg mass? Answer in units of m/s^2
Here is my work, but i wanted to make sure if it was right or not:
2.6(2.7)=7.02
7.02/14.9=.471 m/s^2
Yes, that is correct.
I would really encourage you to carry the units through from start to finish. It seems like extra work, but it can help detect errors.
thank you!
To find the acceleration produced by the same force applied to a different mass, you can use the formula for Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). The formula can be rearranged as a = F/m.
Given:
Mass of the first object (m1) = 2.6 kg
Acceleration produced by the force applied to the first object (a1) = 2.7 m/s^2
First, calculate the force applied to the first object:
F = m1 * a1
F = 2.6 kg * 2.7 m/s^2
F ≈ 7.02 N
Now, we want to find the acceleration produced by the same force applied to a different mass (m2). Use the formula rearranged for acceleration:
a2 = F / m2
Given:
Mass of the second object (m2) = 14.9 kg (provided in the question)
Using the value of F calculated earlier,
a2 = 7.02 N / 14.9 kg
a2 ≈ 0.471 m/s^2
Therefore, the acceleration produced by the same force applied to the 14.9 kg mass is approximately 0.471 m/s^2.