An object of mass 4kg, slides down a horizontal plane. Find the magnitude of the frictional force of the object when its acceleration has a magnitude of 2m/s^2.
To find the magnitude of the frictional force, we will first calculate the force of gravity acting on the object and then use the equation of motion to determine the frictional force.
Step 1: Calculate the force of gravity acting on the object.
The force of gravity can be calculated using the formula:
F_gravity = mass * acceleration due to gravity
F_gravity = 4kg * 9.81m/s^2
F_gravity = 39.24 N
Step 2: Use the equation of motion to determine the frictional force.
The equation of motion for an object sliding down a horizontal plane is:
net force = mass * acceleration
Where the net force is the difference between the force of gravity and the frictional force:
net force = F_gravity - frictional force
Substitute the values into the equation:
39.24 N - frictional force = 4kg * 2m/s^2
39.24 N - frictional force = 8 N
frictional force = 39.24 N - 8 N
frictional force = 31.24 N
Therefore, the magnitude of the frictional force acting on the object is 31.24 N.