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4.5 Normal, Tension, and Other Examples of Forces 17. Two teams of nine members each engage in a tug of war. Each of the first team '3 members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team's members has an average mass of 73 kg and exerts an average force of 1365 N horizontally. (a) What is magnitude of the acceleration of the two teams? (b) What is the tension in the section of rope between the teams? 20. Suppose a GODkg gymnast climbs a rope. (a) What is the tension in the rope if he climbs at a constant speed? (b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s'2? 3. A block slides down a frictionless plane having an inclination of 15.0 degrees. The block starts from rest at the top, and the length of the incline is 2.00 m. a) Draw a free body diagram for the block. b) Find the acceleration of the block and c) its speed when it reaches the bottom of the incline. (b: 2.54 m/s2, c: 3.19 m/s) 5. An archer shoots a 0.024 kg arrow at a target with a speed of 54 m/s. When it hits the target it penetrates to a depth of 0.083 m. a) What was the average force exerted by the target on the arrow? b) If the mass of the arrow is doubled ad the force exerted by the target on the arrow remains the same, by what multiplicitive factor does the penetration depth change? (a: -422 N, b: 2) 6. When you weight yourself while on solid ground your weight is 633 N. In an elevator, your apparent weight is 539 N. What are the direction and magnitude of the elevator's acceleration? (downward at - 1.46 m/s') 7. Suppose 3 blocks are in contact with one another on a frictionless horizontal tabletop. A horizontal force F is applied to ml. Take m, = 2.00 kg, my = 3.00 kg, ma = 4.00 kg and F = 18 N. a) Draw separate free body diagrams for each block. b) Determine the acceleration of the blocks. c) Find the magnitudes of the contact forces between the blocks. (b: 2.00 m/s', c: F12 = 14 N, F2 = 8 N) 8. A woman at an airport is towing her 20.0 kg suitcase at a constant speed by pulling on a strap at an angle 0 above the horizontal. She pulls on the strap with a 35.0 N force and the friction force on the suitcase is 20.0 N. a) Draw a free body diagram. b) What angle does the strap make with the horizontal? c) What is the magnitude of the normal force the ground exerts on the suitcase? (b: 55.2 degrees, c: 167 N)Homework Chapter 4 Conceptual: 1: What is the relationship between weight and mass? Which is an intrinsic, unchanging property of a body? 2: An object can have a nonzero velocity even if there is zero net external force acting on it. Describe such a situation. 3: Define what is meant by the normal force and give an example where the normal force does not point upward. Textbook Problems: 1: Chapter 4 Problem 20 2: Chapter 4 Problem 17 Problems: 1. An object of mass m is dropped at t = 0 from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant horizontal force F on the object. a) At what time t does the object strike the ground? b) Find an expression in terms of m and F for the acceleration in the horizontal direction. c) How far is the object displaced horizontally before hitting the ground? Answer in terms of m, g, F and h. d) Find the magnitude of the object's acceleration while it is falling, using the variables F, m, and g. (a: =-" , b: ax = F/m, c: x = Fh/mg, d: a=v(F/m)+g 2. Two forces FI and F2 act on a 5.00-kg object. Taking F1 = 20.0 N and F2 = 15.00 N, find the acceleration of the object for the configurations of forces shown. (a: 5.00 m/s2 @ 36.9 degrees, b: 6.08 m/s' @ 25.3 degrees) 60.0 90.0