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- Assume the three blocks (m1 = 1.0 kg, m2 = 2.0 kg, and m3 = 4.0 kg) portrayed in the figure below move on a frictionless surface and a force F = 36 N acts as shown on the 4.0 kg block. Determine the acceleration given this system (in m/s2 to the right). Determine the tension in the cord connecting the 4.0 kg and the 1.0 kg blocks (in N). Determine the force exerted by the 1.0 kg block on the 2.0 kg block (in N). What If? How would your answers to parts (a) and (b) of this problem change if the 2.0 kg block was now stacked on top of the 1.0 kg block? Assume that the 2.0 kg block sticks to and does not slide on the 1.0 kg block when the system is accelerated. (Enter the acceleration in m/s2 to the right and the tension in N.)Assume the three blocks (m1= 1.0 kg, m2 = 2.0 kg,, and m3 = 5 kg) portrayed in the figure below move on a frictionless surface and a force F = 48 N acts as shown on the 3.5 kg block. Determine the acceleration given this system (in m/s2to the right). Determine the tension in the cord connecting the 5kg and the 1.0 kg blocks (in N). Determine the force exerted by the 1.0 kg block on the 2.0 kg block (in N). What If?How would your answers to parts (a) and (b) of this problem change if the 0 kg block was now stacked on top of the 1.0 kg block? Assume that the 2.0 kg block sticks to and does not slide on the 1.0 kg block when the system is accelerated. (Enter the acceleration in m/s2 to the right and the tension in N.)Assume the three blocks (m1 = 1.0 kg, m2 = 2.0 kg, and m3 = 4.0 kg) portrayed in the figure below move on a frictionless surface and a force F = 48 N acts as shown on the 4.0-kg block. (a) Determine the acceleration given this system.m/s2 (to the right)(b) Determine the tension in the cord connecting the 4.0-kg and the 1.0-kg blocks.N(c) Determine the force exerted by the 1.0-kg block on the 2.0-kg block.N
- Two blocks of masses m1 = 3 kg and m2 = 4 kg are placed on a frictionless horizontal surface and joined by a robe of negligible mass. A constant horizontal force F = 20 N is applied to m2 as shown in figure. What are the magnitude of the acceleration of the system, the tension in the robe and the normal forces acting on m1 and m2?A (6 kg) block rests on a smooth table. It is connected by a string of negligible mass to a (2 kg) block hanging over the end of the table, as shown in figure below. Find: (&) The acceleration of each block? Answer : (a=2.45 m/s*) (b) The tension in the connecting string? Answer: (T=147N) (@) The position of mass A at (0.400 s)? Answer: (y=-0.196 m) (d) The velocity of mass A at (0.400 s)? Answer : (v=-0.980 m/s )shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood’s machine. One block has mass m1 = 1.30 kg; the other has mass m2 =2.80 kg.What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?
- Two blocks are connected by a rope that passes over a massless and frictionless pulley as shown in the figure below. Given that m1 = 18.50 kg and m2 = 11.56 kg, determine the magnitudes of the tension in the rope and the blocks' acceleration. T=?N. a=?m/s^2Two blocks, M1 and M2, are connected by a massless string that passes over a massless pulley as shown in the figure. M2, which has a mass of 25.0 kg, rests on a long ramp of angle ?=25.0∘. Friction can be ignored in this problem. Determine the mass ?1 of block M1 for which the two blocks are in equilibrium (no acceleration). If the actual mass of M1 is 5.00 kg and the system is allowed to move, what is the acceleration ? of the two blocks? A positive acceleration corresponds to M2 moving up the incline. What distance ? does block M2 move in 2.00 s?The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.2 kg; block 2 has mass m2 = 1.7 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?
- In the figure below, m1 = 20.0 kg, m2 = 36.0 kg and α = 30.0°. The system starts from rest and the coefficient of kinetic friction between the block of mass m1, and the incline is μk = 0.40. Find: 1. The acceleration of the system? 2. The tension on the string.A block of mass m1 = 38.4 kg on a horizontal surface is connected to a mass m2 = 15.2 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. Assume that the horizontal surface is smooth. a) What is the acceleration (in m/s2) of the hanging mass? (Enter the magnitude only.) b) Determine the tension (in N) in the cord. (Enter the magnitude only.)A block of mass m2 = 3.5 kg rests on a frictionless horizontal shelf. and is connected by ropes to two blocks of masses m1 = 1.5 kg and m3 = 2.5 kg, which hang freely, as shown in the figure. The pulleys are frictionless and their mass is negligible. The system is initially kept at rest. When released, determine: a) the acceleration of each of the blocks, and b) the tension in each rope.