A cord passing over a pulley connects two masses, as shown, where m₁ = 3.60 kg and m₂ = 6.80 kg. The system accelerates with a magnitude of 1.33 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.) m₁ 35.0° m₂ 35.0°/ (a) What is the coefficient of kinetic friction? (b) What is the tension (in N) in the cord? N
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- In the figure, three masses are attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table. mA = 5.4 kg, mB = 6.2 kg, and mc = 10.7 kg. Find the tension in the cord to the right (between masses B and C) once the blocks have been released and are free to move. Your answer should be in N: Question Help: Read BA block of mass m = 2.90 kg is pushed a distance d = 7.80 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 24.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force. J(b) Determine the work done on the block by the normal force exerted by the table. J(c) Determine the work done on the block by the force of gravity. J(d) Determine the work done by the net force on the block.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 μk. 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 m, 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. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.
- A cord passing over a pulley connects two masses, as shown, where m, = 3.60 kg and m, = 7.10 kg. The system accelerates with a magnitude of 1.34 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.) m2 m, 35.0° 35.0° (a) What is the coefficient of kinetic friction? (b) What is the tension (in N) 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 UnitsThere are two forces on the 2.26 kg box in the overhead view of the figure but only one is shown. For F₁ = 12.6 N, a = 11.5 m/s², and 0 = 24.4°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i (b) Number i (c) Number i + i Units Units F x Ĵ Units î î
- Besides the gravitational force, a 2.90-kg object is subjected to one other constant force. The object starts from rest and in 1.20 s experiences a displacement of (4.30î − 3.30ĵ) m, where the direction of ĵ is the upward vertical direction. Determine the other force. (Express your answer in vector form.)Connected objects with inclined plane problem. Consider the figure where you have two boxes connected by a string over a pulley. The smooth (frictionless) ramp is inclined to a an angle of 35° with the flat ground, and the box on the ramp has a mass of 6.40 kg. The mass of the 6.4 kg hanging box is m = 3.05 kg. You don't need to consider significant figures in your answer, but don't round excessively partway through your calculations. 35° Find (a) the direction and (b) the magnitude of the hanging box's acceleration.A 17 kg block rests on a 32 degree inclined frictionless surface and is attached by a light string to a 34 kg hanging mass where the string passes over a massless frictionless pulley. If g = 9.8 m/s^2 what is the tension in the connecting string?