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1. A ball of mass 5 kg and a block of mass 12 kg are attached by a lightweight cord that passes over a frictionless pulley of negligible mass as shown in the figure. The block lies on a frictionless incline of angle 30o. Find the magnitude of the acceleration of the two objects and the tension in the cord. Take g = 10 ms-2.
2.Two blocks of masses 5 kg and 7 kg are placed in contact with each other on a frictionless horizontal surface. A constant horizontal force 20 N is applied to the block of mass 7 kg.
(a) Determine the magnitude of the acceleration of the two-block system.
(b) Determine the magnitude of the contact force between the two blocks.
3.A block of mass 5 kg starts to slide down a frictionless plane having an inclination of 25.0° from rest at the top. The length of the incline is 2.00 m, find
(a) the acceleration of the block and
(b) its speed when it reaches the bottom of the incline. Take g = 10 ms-2.
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4.Two masses 5 kg and 7 kg situated on a frictionless, horizontal surface are connected by a light string. A force of 50 N is exerted on one of the masses to the right. Determine the acceleration of the system and the tension T in the string.
5.Two blocks of mass 5 kg and 9 kg are connected by a string of negligible mass that passes over a frictionless pulley. The inclines are frictionless. Find
(a) the magnitude of the acceleration of each block and
(b) the tension in the string. Take g = 10 ms-2.
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