35. • In Figure 6-23 we see two blocks connected by a string and tied to a wall. The mass of the lower block is 1.0 kg; the mass of the upper block is 2.0 kg. Given that the angle of the incline is 2.0 kg 1.0 kg O |31 A FIGURE 6-23 Problem 35
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- •9:EV %VO 4G N Question 10 The SI unit of coefficient of friction is a. no units b. N/m c. N m/s d. m/N81. ••In Figure 4-47, the block on the left incline is 6 kg. Find the mass of the block on the right incline so that the system is in equilibrium (no acceleration). All surfaces are frictionless. SSM 6 kg 60 25 Figure 4-47 Problem 8126. • BIO Traction After a skiing accident, your leg is in a cast and sup- ported in a traction device, as shown in FIGURE 6-43. Find the mag- nitude of the force F exerted by the leg on the small pulley. (By Newton's third law, the small pulley exerts an equal and opposite force on the leg.) Let the mass m be 2.27 kg. Small pulley 30.0° 30.0° F T2 m
- 3. • A baseball player slides into third base with an initial speed of 4.0 m/s. If the coefficient of kinetic friction between the player and the ground is 0.46, how far does the player slide before coming to rest?• At the local grocery store, you push a 14.5-kg shopping cart. Youstop for a moment to add a bag of dog food to your cart. With aforce of 12.0 N, you now accelerate the cart from rest through adistance of 2.29 m in 3.00 s. What was the mass of the dog food?96. .• Find the tension in each of the two ropes supporting a ham- mock if one is at an angle of 18° above the horizontal and the other is at an angle of 35° above the horizontal. The person sleeping in the hammock (unconcerned about tensions and ropes) has a mass of 68 kg.
- 51. •A block of mass M rests on a 5.00-kg block which is on a tabletop (Figure 5-29). A light string passes over a frictionless peg and connects the blocks. The coefficient of kinetic friction at both surfaces µ equals 0.330. A force of 60.0 N pulls the upper block to the left and the lower block to the right. The blocks are moving at a constant speed. Determine the mass of the upper block. 5 kg Figure 5-29 Problem 51PROBLEM 2 • An elevator and its load have a total mass of 800kg.Find the tension in the supporting cable when the elevator or lift originally moving downwards at 10m/s is brought to rest with a constant acceleration in a distance 25m Answer T-9600N.Since T> W the system is retarding.54. ••A 2-kg box rests on top of a 5-kg crate (Fig- ure 5-32). The coefficient of static friction between the box and the crate is 0.667. The coefficient of static fric- tion between the crate and the floor is 0.400. Calculate the minimum force (F) that is required to move the crate to the right and the corresponding tension (T) in the rope that connects the box to the wall when the rope is taut. 2 kg -H = 0.667 Hh 0.400, kg Figure 5-32 Problem 54
- 81. •In a mail-sorting facility, a 2.5-kg package slides down an inclined plane that makes an angle of 20° with the horizontal. The package has an initial speed of 2 m/s at the top of the incline and it slides a distance of 12.0 m. What must the coefficient of kinetic friction between the package and the inclined plane be so that the pack- age reaches the bottom with no speed? SSM56. ••A 2.85-kg object is held in place on an inclined plane that makes an angle of 40° with the horizontal (Figure 5-34). The coefficient of static friction between the plane and the object is 0.552. A second object that has a mass of 4.75 kg is connected to the first object with a massless string over a massless, frictionless pulley. Cal- culate the initial acceleration of the system and the ten- sion in the string once the objects are released. 4.75 kg 2.85 kg -H,0.552 40 Figure 5-34 Problem 56• In one hand you hold a 0.13-kg apple, in the other hand a 0.22-kgorange. The apple and orange are separated by 0.75 m. What is themagnitude of the force of gravity that (a) the orange exerts on theapple and (b) the apple exerts on the orange?