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- Ássume the three blocks (m, = 1.0 kg, m, = 2.0 kg, and m, = 3.5 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. F m2 (a) Determine the acceleration given this system. m/s? (to the right) (b) Determine the tension in the cord connecting the 3.5-kg and the 1.0-kg blocks. (c) Determine the force exerted by the 1.0-kg block on the 2.0-kg block.Assume the three blocks (m, 1.0 kg, m, - 2.0 kg, and m, = 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. m3 mL m2 (a) Determine the acceleration given this system (in m/s to the right). m/s (to the right) (b) Determine the tension in the cord connecting the 4.0 kg and the 1.0 kg blocks (in N). N. (c) Determine the force exerted by the 1.0 kg block on the 2.0 kg block (in N).Assume the three blocks (m, = 1.0 kg, m, = 2.0 kg, and m, = 3.5 kg) portrayed in the figure below move on a frictionless surface and a force F = 34 N acts as shown on the 3.5-kg block. F m2 (a) Determine the acceleration given this system. m/s? (to the right) (b) Determine the tension in the cord connecting the 3.5-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. Need Help? Read It Master It
- Assume the three blocks (m, = 1.0 kg, m, = 2.0 kg, and m, = 2.5 kg) portrayed in the figure below move on a frictionless surface and a force F = 48 N acts as shown on the 2.5-kg block. F m2 (a) Determine the acceleration given this system. m/s? (to the right) (b) Determine the tension in the cord connecting the 2.5-kg and the 1.0-kg blocks. (c) Determine the force exerted by the 1.0-kg block on the 2.0-kg block. NA block of mass 1.90 kg is accelerated across a rough surface by a light cord passing over a small pulley as shown in the figure below. The tension T in the cord is maintained at 10.0 N, and the pulley is 0.130 m above the top of the block. The coefficient of kinetic friction is 0.370. M T (a) Determine the acceleration of the block when x = .400 m. m/s² (b) Describe the general behavior of the acceleration as the block slides from a location where x is large to x = 0. increasing, then decreasing no change O decreasing, then increasing a = (c) Find the maximum value of the acceleration and the position x for which it occurs. X = m m/s² (d) Find the largest value of x for which the acceleration is zero. mThe system is released from rest in the position shown. Calculate the tension T in the cord and the acceleration a (positive if to the right, negative if to the left) of the 31-kg block. The small pulley attached to the block has negligible mass and friction. (Suggestion: First establish the kinematic relationship between the accelerations of the two bodies.) Answers: T= H₂=H== 0.25 am 31 kg 14 kg N m/s²
- The figure to the below shows a mass, m1=7.80 kg, on a frictionless incline with an angle 32.2°. It is connected by a cord that runs over a pulley to a hanging mass m2=18.6 kg. What is the tension in the cord connecting my and m2? m, Express your answer in Newton to three significant figures. Use g=9.81 m/s?.A father gives his son a ride by pulling on a sled. The father pulls the sled across the ground with a force F =75.0 N, directed 30° above %3D (Consider Newton's Laws and the forces/components} the horizontal (as shown). The combined mass of his son and sled is 44.0 kg. What normal force does the ground exert on the sled? O 394 N 485N O 270 N N 69Two blocks are connected by a massless rope as shown below. The mass of the block on the table is m1 = 4.6 kg and the hanging mass is m2 = 1.1 kg. The pulley is lightweight and frictionless. If the table has a coefficent f kinetic friction of 0.14 calculate the magnitude of acceleration in m/s2 and the tension in newtons.
- The system is released from rest in the position shown. Calculate the tension T in the cord and the acceleration a (positive if to the right, negative if to the left) of the 30-kg block. The small pulley attached to the block has negligible mass and friction. (Suggestion: First establish the kinematic relationship between the accelerations of the two bodies.) H₂= Hk = μ = 0.39 Answers: T= i i 30 kg 25 kg N m/s²Two boxes, AA and BB, are connected to each end of a light vertical rope, as shown in the following figure. A constant upward force 82.0 NN is applied to box AA. Starting from rest, box BB descends 10.6 mm in 3.90 ss . The tension in the rope connecting the two boxes is 33.0 NN (Figure 1). What is the mass of box BB? Express your answer with the appropriate units.There are two forces on the 1.5 kg box in the overhead view of the figure below but only one is shown. The figure also shows the acceleration of the box. F, = 20.0 N 30 a = 12 m/s? (a) Find the second force in unit-vector notation. |N) î + (| N) ĵ (b) Find the second force as a magnitude and direction. N, (counterclockwise from the +x-axis is positive)