2. An object of mass m₁ = 5.00 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m₂ = 9.00 kg as shown in the figure below. (a) Draw free-body diagrams of both objects. (b) Find the magnitude of the acceleration of the objects. (c) Find the tension in the string. m1 mq

What forces cause (a) an automobile, (b) a propeller-driven airplane, and (c) a rowboat to move?

Two teams of nine members each engage in tug-of-war. Each of the first team’s 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, and which team sins? (b) What is the tension in the section of rope between the teams?

A box is at rest with respect to the surface of a flatbed truck. The coefficient of static friction between the box and the surface is s. a. Find an expression for the maximum acceleration of the truck so that the box remains at rest with respect to the truck. Your expression should be in terms of s and g. b. How does your answer change if the mass of the box is doubled?

Two teams of nine members each engage in a tug of war. Each of the first team's 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?

An elevator filled with passengers has a mass of 1.70103kg . (a) The elevator accelerates upward from rest at a rate of 1.20m/s2for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 in/s2 for 0.600m/s2 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?

An object of mass m = 5.00 kg, attached to a spring scale, rests on a frictionless, horizontal surface as shown in Figure P6.14. The spring scale, attached to the front end of a boxcar, reads zero when the car is at rest. (a) Determine the acceleration of the car if the spring scale has a constant reading of 18.0 N when the car is in motion. (b) What constant reading will the spring scale show if the car moves with constant velocity? Describe the forces on the object as observed (c) by someone in the car and (d) by someone at rest outside the car. Figure P6.14

A block of mass m1= 10 kg is on a frictionless table to the left of a second block of mass m2 = 24 kg, attached by a horizontal string (Figure WU4.13). If a horizontal force of 120 N is exerted on the block m2in the positive x-direction, (a) use the system approach to find the acceleration of the two blocks. (b) What is the tension in the string connecting the blocks? (See Section 4.6.) Figure WU4.13

An object of mass M is held in place by an applied force F and a pulley system as shown in Figure P5.85. The pulleys are massless and friction-less. (a) Draw diagrams showing the forces on each pulley. Find (b) the tension in each section of rope, T1, T2 T3, T4 and T5 and (c) the magnitude of F

Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are attached by a massless cord passing over a frictionless pulley as shown in Figure P5.51. Assume the horizontal surface is frictionless. a. Draw a free-body diagram for each of the two objects. b. What is the tension in the cord? c. What is the magnitude of the acceleration of the two objects? FIGURE P5.51 Problems 51 and 65.