A crate has a mass of 20 kg. What applied force is required to produce an acceleration of 3 m/s2 if the frictional force is known to be 95 N?
Fnet=Fc-Fmk
ma=Fc-Fmk
(20kg)*(3m/s^2)=Fc-95N
60N=Fc-95N
Fc=155N
To determine the applied force required to produce the desired acceleration, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. We can express this mathematically as:
Net force = mass × acceleration
In this case, the mass of the crate is given as 20 kg, and the desired acceleration is 3 m/s². We also know that there is a frictional force of 95 N acting on the crate.
To solve for the applied force, we need to determine the net force, taking into account the frictional force. The net force is the vector sum of all forces acting on the object. In this case, it is equal to the applied force minus the frictional force:
Net force = applied force - frictional force
Since we want to find the applied force, we can rearrange the equation:
Applied force = Net force + frictional force
We can substitute the given values into the equation to find the applied force:
Net force = mass × acceleration
Net force = 20 kg × 3 m/s²
Net force = 60 N
Applied force = 60 N + 95 N
Applied force = 155 N
Therefore, an applied force of 155 N is required to produce an acceleration of 3 m/s², considering the given mass of the crate and the known frictional force.