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Set 3- Force, Kenetic, Tension

# Set 3- Force, Kenetic, Tension - Sonia Rahangdale PHY 231...

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Sonia Rahangdale - PHY 231 Fall 2006 1 Set 03 (09/19 midnight) Due date: Tue Sep 19 23:59:00 2006 Two forces F 1 and F 2 are acting on a mass M=4.0 kg. The force F 1 = 11.0 i + 5.0 j + 1.0 k , in N. The acceleration of the mass is given by a = 1.0 i + 3.0 j + 2.0 k , in m/s 2 . Calculate the magnitude of F 2 . You are correct. Your receipt is 155-2023 A 39.7 kg boy and a 59.2 kg girl are on the surface of a frozen lake, 11.0 m apart. Using a rope, the boy exerts a horizontal 5.95 N force on the girl, pulling her toward him. Calculate the magnitude of the boy’s acceleration. You are correct. Your receipt is 155-2023 A 5.86 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F=10.4 N at an angle θ = 21.0 above the horizontal, as shown. θ Μ F What is the speed of the block 3.10 seconds after it starts moving? You are correct. Your receipt is 155-2027 Two blocks are in contact on a frictionless table. A horizontal force F is applied to M 2 , as shown. If M 1 = 1.30 kg, M 2 = 3.32 kg, and F = 6.00 N, find the size of the contact force between the two blocks. M2 M 1 F You are correct. Your receipt is 155-2535 If instead an equal but oppositely directed force is applied to M 1 rather than M 2 , find the size of the contact force between the two blocks. You are correct. Your receipt is 155-2877 Two masses, m 1 = 1.59 kg and m 2 = 8.10 kg are on a hor- izontal frictionless surface and they are connected together with a rope as shown in the figure. F m m 1 2 The rope will snap if the tension in it exceeds 55.0 N. What is the maximum value of the force F which can be applied? You are correct. Your receipt is 155-2581 What is the acceleration of the whole system, when this max- imum force is applied? You are correct. Your receipt is 155-2149 A long uniform board weighs 58.4 N (11.7 lbs) rests on a support at its mid point. Two children weighing 425.0 N (85.0 lbs) and 311.0 N (62.2 lbs) stand on the board so that the board is balanced. What is the upward force exerted on the board by the support? You are correct. Your receipt is 155-2007 A crate is pulled up using frictionless pulleys in the manner shown in the figure. The angle is θ = 43.0 . The masses are, for the small pulley, m 1 = 3.9 kg, for the traveling pulley, M 2 = 6.9 kg, and for the crate, M C = 40.2 kg. What is the minimum tension with which the operator must pull on the cable (assume the cable is of neglible mass) in order to slowly raise the crate.

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