a force is applied to a 1.9 kg mass and produces a 3.1 m/s^2 acceleration. what acceleration would be produced by the same force applied to a 14.3 kg mass? answer in m/s^2
F = m a , so
a = F/m
Acceleration is inversely proportional to mass. The larger mass will accelerate 1.9/14.3 = 13.29% as fast.
To find the acceleration produced by the same force applied to a 14.3 kg mass, we can use Newton's second law of motion.
Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. It can be expressed mathematically as:
F = m * a
where:
F is the net force applied,
m is the mass of the object, and
a is the acceleration produced.
In this case, we know that a force is applied to a 1.9 kg mass and produces a 3.1 m/s^2 acceleration. Let's call this force F1 and acceleration a1.
F1 = m1 * a1
Now, we need to find the acceleration a2 when the same force is applied to a 14.3 kg mass. Let's call this acceleration a2.
F1 = m2 * a2
We can rearrange the equation to solve for a2:
a2 = F1 / m2
Plugging in the known values:
a2 = 3.1 m/s^2 / 14.3 kg
a2 ≈ 0.217 m/s^2
Therefore, the acceleration produced by the same force applied to a 14.3 kg mass would be approximately 0.217 m/s^2.