Physics Problem: Work-Kinetic Frictional Force

In summary, a 280 N force acting at an angle of 18.0° above the surface is pulling an 80.0 kg refrigerator across a horizontal surface with a coefficient of kinetic friction of 0.200. The refrigerator moves a distance of 6.00 m. Part A found the work done by the pulling force to be 1.60*10^3 J. For part B, using the equation W= -coefficient of kinetic friction*mg*distance, the work done by the kinetic frictional force is 940.8 J, with a negative sign indicating the direction of the force.
  • #1
shawonna23
146
0
A 280 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 6.00 m.
(a) Find the work done by the pulling force.
1.60*10^3 J
(b) Find the work done by the kinetic frictional force.
J

I got the answer for Part A right, but I can't seem to get the answer for part B. The answer i got for B is 940.8. I used the equation: W= -coefficient of kinetic friction*mg*distance but the answer is wrong. Am I using the wrong equation for Part B?
 
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  • #2
Looks right. Remember friction does negative work here, so your final anwer needs to be negative (remember to use a positive value of g for this to work). Other than that, try different values of g, like 9.81, 9.8, 10, as these are all used by various texts.
 
  • #3


For part B, you are on the right track but you need to use the formula W = Ff * d, where Ff is the kinetic frictional force and d is the distance moved. The kinetic frictional force can be calculated using the formula Ff = μk * Fn, where μk is the coefficient of kinetic friction and Fn is the normal force, which is equal to the weight of the refrigerator in this case. So, your final equation should be W = μk * mg * d. Plugging in the values, we get W = 0.200 * 80.0 * 9.8 * 6.00 = 940.8 J. So, your answer is correct. Make sure to check your calculations again.
 

Related to Physics Problem: Work-Kinetic Frictional Force

What is work-kinetic frictional force?

Work-kinetic frictional force is a type of force that opposes the motion of an object due to the interaction between two surfaces in contact. It is caused by the microscopic irregularities on the surfaces, which create resistance to the motion of the object.

How is work-kinetic frictional force calculated?

The work-kinetic frictional force can be calculated by multiplying the coefficient of kinetic friction between the two surfaces by the normal force acting on the object. The normal force is the force that the surface exerts on the object in a direction perpendicular to the surface.

What factors affect the work-kinetic frictional force?

The work-kinetic frictional force is affected by three main factors: the coefficient of kinetic friction, the normal force, and the surface area of contact between the two surfaces. The coefficient of kinetic friction depends on the nature of the surfaces, while the normal force and the surface area of contact depend on the weight and size of the object.

How does work-kinetic frictional force affect the motion of an object?

Work-kinetic frictional force always acts in a direction opposite to the motion of the object. It reduces the speed of the object and can eventually bring it to a stop. The amount of work-kinetic frictional force also determines the distance an object will travel before coming to a stop.

How can work-kinetic frictional force be reduced?

The work-kinetic frictional force can be reduced by using a lubricant between the two surfaces in contact. The lubricant fills in the microscopic irregularities, reducing the surface area of contact and thus reducing the frictional force. Additionally, using smoother surfaces or reducing the weight of the object can also decrease the work-kinetic frictional force.

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