A child has mass 6.0 kg and slides down a 35°incline with constant speed under the action of a 34-N force acting up and parallel to the incline. What is the coefficient of kinetic friction between the child and the surface of the incline?
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- A 30 kg object sits on a table. The coefficient of static friction between the object and the table is 0.25. What frictional force must you overcome to make the object move?A block is placed on a wooden plank, which is initially horizontal. One end of the plank is slowly raised to make it more and more inclined, and for a while the block stays in place on the plank and doesn't slide due to static friction. Finally, when the plank reaches an incline of 56.3oabove horizontal, the block begins to slide. What is the coefficient of static friction between the block and the plank?A block with a mass of 7.15 kg is on a horizontal surface that has friction. A string is pulling horizontally on the block with a force of 30.6 N at an angle of 15.2° above horizontal. The block is movingalong the surface at a constant speed of 4.39 m/s. What is the magnitude of the kinetic frictional force that is acting on the block?
- A 10.0 kg object is pushed across a floor with a horizontal force of 70.0 N. If the coefficient of kinetic friction between the object and the floor is 0.100, what is its acceleration?A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?A block is pressed against a vertical wall by a force F, as the drawing shows. This force can either push the block upward at a constant velocity or allow it to slide downward at a constant velocity. The magnitude of the force is different in the two cases, while the directional angle is the same. Kinetic friction exists between the block and the wall, and the coefficient of kinetic friction is 0.330. The weight of the block is 50.0 N, and the directional angle for the force F is 8 -50.0%. Determine the magnitude of F when the block slides (a) up the wall and (b) down the wall. (a) P- (b) Pi
- A car (m = 1630 kg) is parked on a road that rises 11° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?A rope attached to an engine pulls a 839 N crate up an 18.0° ramp at constant speed. The coefficient of kinetic friction for the surfaces of the crate and ramp is 0.19. What is the magnitude of the force that the rope exerts on the crate parallel to the ramp?Problem 6. A 6.0kg block is placed on top of a 9.0kg block. A horizontal force of 50.0N is applied at an angle to the 9.0kg block, and the 6.0kg block is tied to the wall by a rope. The coefficient of kinetic friction between the two blocks is 0.25, and the coefficient of friction between the 9.0kg block and the ground surface is 0.30. (a) Draw a free body diagram for each block and identify the action-reaction forces between the blocks. (b) Determine the tension in the rope. (c) Determine the magnitude of the acceleration of each block. 6.0kg F = 50.0N 15° 9.0kg
- A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is µs = 0.603, and the kinetic friction coefficient is = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: N If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? acceleration: m/s2A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension of 80 N to the free end of a cable whose other end is attached to the crate. If the coefficient of static friction is 0.40, what is the acceleration of the crate?A crate starts from rest and slides 8.05 m down a ramp. When it reaches the bottom it is traveling at a speed of 5.55 m/s. If the ramp makes an angle of 23.0o with the horizontal, what is the coefficient of friction between the crate and the ramp?