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- Problem 2: In the Figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65 N. If m₁ = 12 kg, m₂ = 24 kg, and m3 = 31 kg, calculate: (a) The magnitude of the system's acceleration. Answer: 0.97 m/sec². (b) The tension T₁. Answer: 11.64 N. (c) The tension T₂. Answer: 34.92 N. m1 T₁ mq T2 mg T3Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and take m, = 2.00 kg, m, = 7.30 kg, and e = 52.0°. Use g=9.8 m/s2. (b) Find the magnitude of the accelerations of the objects. m/s2 (c) Find the tension in the string. N (d) Find the speed of each object 1.75 s after being released from rest. m/sTwo packing crates of masses m₁ = 10.0 kg and m₂ = 7.10 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.10-kg crate lies on a smooth incline of angle 41.0°. Find the following. m₁ m₂ 8 (a) the acceleration of the 7.10-kg crate 4.123 X m/s² (up the incline) (b) the tension in the string N
- Two packing crates of masses m1 = 10.0 kg and m2 = 5.60 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 5.60-kg crate lies on a smooth incline of angle 41.0°. Find the following. (a) the acceleration of the 5.60-kg crate m/s2 (up the incline) (b) the tension in the string N2.00 kg and m2 = 1.00 kg are connected by a massless string passing over a massless and frictionless pulley. Mass mi moves on a horizontal surface having a coefficient of kinetic friction H= 0.100 and is subject to a constant two masses mi = force F = 20.0 N. Find the magnitude of the acceleration of m2. F 20.0 N 0=30° m1 m2Two buckets of sand hang from opposite ends of a rope that passes over an ideal pulley. Onebucket is full and weighs 120 N; the other bucket is only partlyfilled and weighs 63 N. (a) Initially, you hold onto the lighterbucket to keep it from moving. What is the tension in the rope?(b) You release the lighter bucket and the heavier one descends.What is the tension in the rope now? (c) Eventually the heavierbucket lands and the two buckets come to rest. What is the tension in the rope now? Show your work and explain
- A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ Ө = 49.0°. m1 m2 0 (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? m/s² (b) What is the tension (in N) in the cord? (Enter the magnitude.) N = (c) What is the speed (in m/s) of each object 1.50 s after being released from rest? m/s = 2.00 kg, m2 = 4.95 kg, and (d) What If? If the incline under m₂ is rough, what is the minimum value of the coefficient of static friction μ for which the system will not move? MsT2 T1 2 0, crate A supply crate is dropped from an airplane to the survivors of a devastating hurricane. For safety purposes, the crate has two parachutes which deploy from and keep the crate falling at a constant and vertical velocity. The parachutes make upward angles 61 = 35.0° and 62 = 48.0° with the horizontal. If the tension in the parachute making angle 61 is T1 = 142 N, what must the mass of %3D the crate be?A 60 kg block slides along the top of a 100 kg block. The lighter block has an acceleration of 3.8 m/s2 when a horizontal force F= 390 N is applied. Assuming there is no friction between the bottom 100 kg block and the horizontal frictionless surface but there is friction between the blocks. Find the acceleration of the 100 kg block during the time the 60 kg block remains in contact.
- A 30.7 kg girl and a 59.8 kg boy are on the surface of a frozen lake, 10.5 m apart. Using a rope, the girl exerts a horizontal 4.20 N force on the boy, pulling him toward her. Calculate the magnitude of the girl's acceleration.A woman stands on a scale while riding in an elevator. When the elevator is at rest, the scale reads 60kg. What will be the reading of the scale in kg when the elevator accelerates. (a) upward at 1.2 m/s^2. (b) downward at 1.2 m/s^2. (c) At what acceleration of the elevator would the person appear to be weightless? Draw the FBD of the problem.An elevator filled with passengers has a mass of 1.70 × 103 kg . (a) The elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 m/s2 for 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?