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To find the new acceleration, you can use the formula:
F = m * a
Where F is the force applied, m is the mass of the object, and a is the acceleration.
In the given scenario, the initial force is 20 N and the initial acceleration is 5 m/s^2. We can calculate the mass by rearranging the formula:
m = F / a
m = 20 N / 5 m/s^2
m = 4 kg
Now, if the force is increased to 55 N, we can calculate the new acceleration using the same formula:
a = F / m
a = 55 N / 4 kg
a = 13.75 m/s^2
So, the new acceleration is 13.75 m/s^2.
Therefore, the correct answer is a) 13.75 kg.