A child goes down a playground slide with an acceleration of 2.50 m/s^2 . Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 40.0° above the horizontal. Use a free body diagram to find your answer.
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- If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.A 3.50 kg block is pushed along a horizontal floor by a force of magnitude 15.0 N at an angle 0 = 30.0° with the horizontal (see the figure below). The coefficient of kinetic friction between the block and the floor is 0.250. Calculate the magnitudes of (a) the frictional force on the block from the floor and (b) the block's acceleration. Step 1 Create the free-body diagram. Use the checkboxes to select the correct vectors as instructed above. Move the vectors to the correct starting points and orient them in the correct direction as instructed. Key to Force Labels mg = Gravitational force fs = Static friction FN = Normal force T = Tension fk = Kinetic friction F = Pushing force mg fk fs F FN Draw free-body diagram here Point the acceleration vector in the correct directionA person pushes horizontally with a force of 170. N on a 61.0 kg crate to move it across a level floor. The coefficient of kinetic friction is 0.170. (a) What is the magnitude of the frictional force? (b)What is the magnitude of the crate's acceleration? Use g=9.81 m/s2.
- appropriate diagra equations. (b) Static friction Early next semester, you decide to go for a sled ride with your Physics lab partner, who volunteers to pull you along. The combined mass of you and the toboggan is 90 kg. The coefficient of static friction between the sled and the (horizontal) ground is 0.4. To make the sled start to move, your lab partner pulls on a rope attached to the front of the sled. Draw a diagram showing all of the forces acting on the sled (use extra paper if necessary). N-normal Fs force fop W=mg T-tension W-weight of sled and person Fs -static friction (i) Calculate the tension in the rope if the rope makes an angle above the horizontal, 0 = 20°. (ii) Calculate the tension in the rope if the rope makes an angle above the horizontal, 0 = 40°. (iii) Calculate the tension in the rope if the rope makes an angle above the horizontal, 0 = 60°. (iv) From your answers to parts (i), (ii) and (iii), can you say anything about the range of 0 within which the tension in…A 200 kg crate rests on a floor with carpet. A tired worker pushes with a horizontal force of 600 N on the crate initially resting on a thick pile carpet. The coefficients of static and kinetic friction are 0.60 and 0.40, respectively. Find the magnitude of the frictional force exerted by the surface of the crate by the carpet. Hint: Which type of friction acts in this case? What are the properties of different kinds of friction?A person pushes horizontally with a force of 221 N on a 55.0 kg crate to move it to the right across a level floor. The coefficient of kinetic friction is 0.350. What is the magnitude of (a) the frictional force and (b) the crate's acceleration? The directions of the four forces and the acceleration must be identified. Make a free-body diagram. Please use the blue vector to specify forces and the pink vector for acceleration. Please make sure to label each vectors. The labels should none, mg, fk, a, FN, or Fpushing.
- Two children are pulled on a sled over snow-covered ground. The sled is pulled by a rope that makes an angle of 35° with the horizontal. The children have a combined mass of 45 kg and the sled has a mass of 5.0 kg. The coefficients of static and kinetic friction are u, = 0.20 and µ, = 0.15. Calculate the maximum possible force of static friction between the sled and snow. If the tension in the rope is 95 N, will the sled move? Justify your answer.A box of bananas weighing 40.0 N rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.40, and the coefficient of kinetic friction is 0.20. Identify the following: If no horizontal force is applied to the box and the box is at rest, how large is the friction force exerted on the box? What is the magnitude of the friction force if a monkey applies a horizontal force of 6.0 N to the box and the box is initially at rest? What minimum horizontal force must the monkey apply to start the box in motion? What minimum horizontal force must the monkey apply to keep the box moving at constant velocity once it has been started? *Choices attached in the photoBlock A in the figure below has mass ma = 3.5 kg and is sliding down the ramp. Block B has mass mg = 1.6 kg. The coefficient of kinetic friction between block B and the horizontal plane is 0.50. The inclined plane is frictionless and at angle 30°. Frictionless, massless pulley MB B (a) Find the tension in the connecting cord (which has a negligible mass). N (b) Find the magnitude of the acceleration of the blocks. X m/s2
- A box of bananas weighing 40.0 N rests on a horizontal surface.The coefficient of static friction between the box and the surfaceis 0.40, and the coefficient of kinetic friction is 0.20. What is the magnitude of the friction force if a monkey applies a horizontal force of 6.0 N to the box and the box is initially at rest?A 200 kg crate rests on a floor with carpet. A tired worker pushes with a horizontal force of 600 N on the crate initially resting on a thick pile carpet. The coefficients of static and kinetic friction are 0.60 and 0.40, respectively. Find the magnitude of the frictional force exerted by the surface of the crate by the carpet. Hint: Which type of friction acts in this case? What are the properties of different kinds of friction? O 1176 N O 784 N O 600 N O 1960 N O 500 N TEALING knongF(t) Force_Crate Known values: Mass of Block 68 kg TT Hs μk 0 0.63 0.53 26° Problem Statement: A crate is initially at rest on a sloped surface, when a force is applied: F(t) where t is in seconds. Answers: When t=44.47 seconds, the crate has not yet started moving. Find the magnitude of the friction force at that time: 317.771 N The direction of the friction force at that time is: down the slope Find the time required for the crate to start moving: Find the crate's speed when t=174.9 s: 9.485 m/s Be sure to include units with your answers. 169.756 S 240+0.2 N,