The 0.20-kg particle has a speed v = 10.4 m/s as it passes the position shown. The coefficient of kinetic friction between the particle and the vertical-plane track is k = 0.16. Determine the magnitude of the total force exerted by the track on the particle. What is the change in speed i (positive if speeds up, negative if slows down) of the particle? Answers: p= 5.7 m 36°
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- KE = mv², Ug = mgh, Us=kx², E = KE + Ug + Us, E₁ = Ef, Wfric Ffried, Ffric = HkN, Et-Wfric = Ef Problem 1: In the Figure below a block slides along a path that is without friction until the block reaches the section of length L = 0.75 m, which begins at height h = 2 m on a ramp of angle 0 = 30°. In that section, the coefficient of kinetic friction is 0.40. The block passes through point A with a speed of 8 m/sec. What is the speed of the block at point B (where the friction ends)? Answer: 3.5 m/sec B/ 0Multiple-Concept Example 5 reviews many of the concepts that play a role in this problem. An extreme skier, starting from rest, coasts down a mountain that makes an angle of 32.5° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.244. She coasts for a distance of 12.3 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 3.67 m below the edge. How fast is she going just before she lands? Number i eTextbook and Media Save for Later Units Attempts: 0 of 5 used Submit AnswerThe 60-kg crate is projected along the floor with an initial speed of vo = 6.8 m/s at x = 0. The coefficient of kinetic friction is μk = 0.55. Calculate the time t required for the crate to come to rest and the corresponding distance x traveled. Answers: t = Hk X = i VO S m
- The car is fully loaded with passengers and has a total mass of 575 kg. At point A, the car is at the lowest point in a circular arc of radius r1 = 12.4 m. At point B, the car is at the highest point of a circular arc of radius r2 = 17.3 m. (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point? (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?Current Attempt in Progress The figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d = 22.0 cm while three forces act on the package. Two of them are horizontal and have the magnitudes F₁ = 8.0 N and F₂ = 2.0 N; the third is angled down by = 60.0° and has the magnitude F3 = 7.0 N. (a) For the 22.0 cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package? (b) If the package has a mass of 4.0 kg and an initial kinetic energy of 0, what is its speed (in m/s) at the end of the displacement? (a) Number i (b) Number Units Units Hot Dogs Ve F F dA 19.0 kg box is placed at the top of an inclined plane and released to either move freely or sit at rest. The plane is at an angle of 30° above the ground and has a total length of d = 2.80 m along the incline. The coefficient of static friction between the box and the plane is us = 0.40 and the coefficient of kinetic friction is pk = 0.30. What kind of friction does the box experience once it is released, and what is its magnitude? m d Kinetic, Fkf - 55.9 N Static, Fsf = 74.5 N Static, Fsf = 64.5 N Kinetic, Fkf = 48.4 N
- A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?Your answer is partially correct. of magnitude 50.0 N acts on it. In the figure, a 5.20 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal force The coefficient of kinetic friction between block and plane is 0.330. What are the (a) magnitude and (b) direction (up or down the plane) of the block's acceleration? The block's initial speed is 4.40 m/s. (c) How far up the plane does the block go? (d) When it reache its highest point, does it remain at rest or slide back down the plane? (a) Number i -2.7 (b) down V (c) Number i Units Units m/s^2Problem 16: A 50 kg block and a100 kg block are connected by a string as shown in the figure. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 50 kg block and the incline is 0.250. Find the speed of the 100 kg block after it has fallen 1.5 m, causing the 50 kg block to move from position A to B. 50.0 kg 37.0⁰ A 100 kg
- A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.875 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.354 and he exerts a constant horizontal force of 292 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude N direction (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/sCaroline takes her baby sister Hannah to the neighborhood park and places her in the seatof the children’s swing. Caroline pulls the L = 1.8 m long chain back to make an angle θ = 26◦ withrespect to the vertical and lets 14 kg Hannah (swing mass included) go. (a) Determine Hannah’s speed at the lowest point in the trajectory. (b) What is the tension in the swing chain at this low point? Assume the chain itself has negligible mass.In the situation below, m1=20 kg and m2=10 kg. The masses are at rest. A) What is the minimum coefficient of friction between the incline and m1? B) The sting and cut and m1 slides down the incline. What is its speed when it reaches the bottom? The block is initially at height of 10 meters.