A force is applied to a 1.4 kg mass and pro- duces 2.5 m/s2 acceleration.
What acceleration would be produced by the same force applied to a 12.2 kg mass?
Answer in units of m/s2.
F = m a = 1.4*2.5 Newtons
a = F/m = 1.4*2.5 / 12.2 m/s^2
To find the acceleration produced by the same force applied to a different mass, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration:
F = m * a
In this case, we know the mass and acceleration for the first scenario:
m1 = 1.4 kg
a1 = 2.5 m/s^2
And we want to find the acceleration for the second scenario:
m2 = 12.2 kg
a2 = ?
To solve for a2, we can rearrange the equation to solve for acceleration:
F = m * a
a = F / m
Since the force (F) is the same in both scenarios, we can substitute it with the force used in the first scenario. Let's assume the force is represented by F1:
a2 = F1 / m2
Now, we need to calculate the force applied to the 1.4 kg mass. We can use the equation:
F1 = m1 * a1
Substituting the given values:
F1 = 1.4 kg * 2.5 m/s^2
Calculating:
F1 = 3.5 N
Now we can substitute the values back into the equation for a2:
a2 = 3.5 N / 12.2 kg
Calculating:
a2 ≈ 0.287 m/s^2
Therefore, the acceleration produced by the same force applied to a 12.2 kg mass is approximately 0.287 m/s^2.