A 3.00 102 N force is pulling an 80.0 kg refrigerator across a horizontal surface. The force acts at an angle of 18.0° above the surface. The coefficient of kinetic friction is 0.200, and the refrigerator moves a distance of 8.00 m
a) Find the work done by the pulling force
(b) Find the work done by the kinetic frictional force.
To find the work done by the pulling force and the work done by the kinetic frictional force, we need to use the formulas:
Work done = Force x distance x cosine(angle)
First, let's find the horizontal component of the pulling force. The horizontal component is calculated by multiplying the magnitude of the force by the cosine of the angle. So the horizontal component is:
Horizontal force = Force x cosine(angle)
a) To find the work done by the pulling force:
First, calculate the horizontal component of the pulling force:
Horizontal force = (3.00 x 10^2 N) x cos(18°)
Now, calculate the work done using the formula:
Work done by the pulling force = Horizontal force x distance
Substitute the values:
Work done by the pulling force = (Horizontal force) x (8.00 m)
Calculate the result to find the work done by the pulling force.
b) To find the work done by the kinetic frictional force:
The kinetic frictional force is calculated by multiplying the coefficient of kinetic friction by the normal force. The normal force can be found as the product of the mass and the acceleration due to gravity.
Normal force = mass x acceleration due to gravity
Next, calculate the kinetic frictional force:
Kinetic frictional force = coefficient of kinetic friction x Normal force
Now, calculate the work done by the kinetic frictional force using the formula:
Work done by the kinetic frictional force = Kinetic frictional force x distance
Substitute the values:
Work done by the kinetic frictional force = (Kinetic frictional force) x (8.00 m)
Calculate the result to find the work done by the kinetic frictional force.