A mass of 25kg is acted on by a force of 56N. If a friction force of 12N exists, find the acceleration of the mass.
I have worked the following:
a=F/M = 44/25 = 1.76 m/s2
Am I correct?
Thank you.
a = (Fap-Ff)/M = (56-12)/25 = 1.76 m/s^2
Thank you kindly.
Yes, you are correct! The formula you used, a = F/M, is the correct formula to find the acceleration of an object.
To explain how you arrived at the answer, the force acting on the mass is 56N, and the mass of the object is 25kg. By dividing the force by the mass (56N / 25kg), you obtain the resulting acceleration of 2.24 m/s^2 (rounded to two decimal places).
However, you mentioned there is also a friction force of 12N. In this case, you need to consider the friction force when calculating the net force acting on the mass. To find the net force, subtract the friction force (12N) from the applied force (56N):
Net Force = Applied Force - Friction Force
Net Force = 56N - 12N
Net Force = 44N
Then, you can use the net force (44N) and the mass (25kg) to calculate the acceleration:
a = F/M
a = 44N / 25kg
a = 1.76 m/s^2 (rounded to two decimal places)
So, the correct acceleration of the mass, taking into account the friction force, is indeed 1.76 m/s^2. Well done!