A cord passing over a pulley connects two masses, as shown, where m₁ = 3.00 kg and m₂ = 6.00 kg. The system accelerates with a magnitude of 1.16 m/s". The coefficient of kinetic friction between the masses and the incline is the same for both masses. Assume the pulley is frictionless, and the cord is massless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) m₁ 35,0⁰ (a) What is the coefficient Need Help? 35.0° Read It m₂ (b) What is the tension (in N) in the cord? N kinetic friction? @

A cord passing over a pulley connects two masses, as shown, where m, = 4.00 kg and m, = 6.90 kg. The system accelerates with a magnitude of 1.18 m/s2. The coefficient of kinetic friction between the masses and the incline is the same for both masses. Assume the pulley is frictionless, and the cord is massless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations -including answers submitted in WebAssign.) m2 т 35.0° 35.0° (a) What is the coefficient of kinetic friction? (b) What is the tension (in N) in the cord?

A 28.0-kg block is connected to an empty 2.26-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.48 and the coefficient of kinetic friction between the table and the block is 0.25. Sand is gradually added to the bucket until the system just begins to move. Ignore the mass of the cord. Calculate the mass of sand added to the bucket. Express your answer to two significant figures and include the appropriate units. m= _______ units   Calculate the acceleration of the system. Express your answer to two significant figures and include the appropriate units. a= _________ units

A cord passing over a pulley connects two masses, as shown, where  m1 = 3.60 kg  and  m2 = 6.50 kg.  Assume the pulley and surfaces are frictionless, and the cord is massless and does not stretch. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) A triangular structure is oriented such that its base rests upon a horizontal surface. Its left and right sides are of equal length and and each form 35.0° inclines with respect to the base. Rectanglular masses labeled m1 and m2 are positioned, respectively, on the structure's left and right inclines. The two masses are connected by a cord that passes over an upright pulley affixed to structure's apex. (a) What is the acceleration of each block? (Enter the magnitude in m/s2.)  m/s2 (b) What is the tension in the cord (in N)?  N

In the figure, a cord runs around two massless, frictionless pulleys. A canister with mass m = 25 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 4.6 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.)

In the figure, a cord runs around two massless, frictionless pulleys. A canister with mass m = 41 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 3.5 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.) (a) Number i Units (b) Number i Units (c) Number Units (d) Number i Units

Two blocks of mass m1 = 0.6 kg and m2 = 2.4 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper block and the surface is 0.27. Calculate the speed of the blocks after they have moved a distance 53 cm. Assume that the pulley is massless and frictionless.

A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties m, a rope to a rock of mass m, = 3.90 x 10? kg and makes his way over the ledge (see the figure). If the coefficient of static friction between the rock and the ground is µs = 0.283, and the mass of the hiker is m, = 70.1 kg, what is the maximum mass of the friend m; that the rock can hold so the hikers can then make their way up over the ledge? Assume the rope is parallel to the ground and the point where the rope passes over the ledge is frictionless. kg II

Figure shows a block of mass m resting on a 20° slope. The block has coefficients of friction μ = 0.81 and k = 0.46 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. (Figure 1) You may want to review (Page). For help with math skills, you may want to review: Vector Components Figure m 20⁰ 1 of 1 2 kg Part A What is the minimum mass m that will stick and not slip? Express your answer to three significant figures and include the appropriate units. m = Submit Part B a = Submit O μA Value Request Answer If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? Express your answer to three significant figures and include the appropriate units. μÅ Provide Feedback Value kg Request Answer ? 2 m/s² ?

Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is uk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is mm, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. If the experiment were repeated where the height hh above the floor was increased, would the distance that the block slides after the hanging object hits the floor increase, decrease, or remain the same? Justify your answer without using or manipulating…