A force is applied to a 2.2 kg mass and produces 4.5 m/s
2
acceleration.
What acceleration would be produced by
the same force applied to a 13.7 kg mass?
Answer in units of m/s
2
To find the acceleration produced by the force applied to the second mass, we can use Newton's second law of motion. The formula is given by:
F = ma
Where:
F = applied force (in Newtons)
m = mass (in kilograms)
a = acceleration (in m/s^2)
We know the mass of the first object (2.2 kg), the acceleration produced (4.5 m/s^2), and the applied force. Now, we need to calculate the applied force.
To find the force, we rearrange the formula:
F = ma
Plugging in the given values:
F = (2.2 kg)(4.5 m/s^2)
F = 9.9 N
Now, we have the applied force (9.9 N), and we want to find the acceleration produced when the same force is applied to a different mass (13.7 kg).
Using the rearranged formula:
F = ma
Plugging in the known values:
9.9 N = (13.7 kg)(a)
To find the acceleration (a), divide both sides of the equation by the mass (13.7 kg):
a = 9.9 N / 13.7 kg
a ≈ 0.722 m/s^2
Therefore, the acceleration produced by the same force applied to a 13.7 kg mass is approximately 0.722 m/s^2.