Question bank: Dynamics: friction force

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Question 1:

Medium

A truck carrying a heavy load descends an inclined ramp at a constant speed, while the driver keeps his foot on the brake to control the speed. The friction force between the truck's tires and the surface of the ramp is responsible for maintaining this constant speed. Suppose the mass of the truck and its load is 10,000 kg, and the coefficient of kinetic friction between the tires and the surface of the ramp is 0.3. The ramp has an incline angle of 30° with the horizontal.

Dynamics: friction force

Question 2:

Medium

João is helping his mother move a heavy sofa from one room to another in the house. When he tries to push the sofa forward, he realizes that the sofa does not move easily due to the static friction force between the sofa and the floor. Knowing that the sofa has a mass of 80 kg and that the coefficient of static friction between the sofa and the floor is 0.6, answer: a) What is the maximum value of the static friction force that prevents the sofa from moving? b) What is the minimum horizontal force that João needs to apply to start moving the sofa? c) If João applies a horizontal force of 450 N to the sofa, will it start moving? Justify your answer.

Dynamics: friction force

Question 3:

Medium

A block of 10 kg is dragged across a horizontal surface with an applied force of 50 N, parallel to the surface. The coefficient of kinetic friction between the block and the surface is 0.3. What is the value of the kinetic friction force and what is the resulting acceleration of the block?

Dynamics: friction force

Question 4:

Medium

Explain what static friction force is and how it differs from dynamic friction force. Then, calculate the static friction force acting on a 10 kg mass body at rest on a horizontal surface with a static friction coefficient of 0.5. Show all calculations and consider the acceleration due to gravity to be 10 m/s².

Dynamics: friction force

Question 5:

Medium

On a vacation trip, Pedro decides to push a 12 kg box to help with the organization of the place where he will stay with his family. Suppose the static friction coefficient between the box and the floor is 0.6 and Pedro pushes the box horizontally with a force of 50 Newtons. (a) Differentiate static friction from dynamic friction. (b) Calculate the static friction force between the box and the floor. (c) Will the box start moving, considering that Pedro pushes with a constant force of 50 N? Justify your answer.

Dynamics: friction force

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