Concept explainers
Return to Example 9.9 and use the result to find the tension in the rope.
Example 9.9 Snow Tubing
At a winter recreation resort, snow tubers at the bottom of the hill hook their tubes to a tow rope. A motor pulls the rope so that tubers move at constant velocity to the top of the hill. (Ignore the momentary acceleration of the tuber when he first attaches his tube to the rope.) The coefficient of kinetic friction between the tube and the snow is μk = 0.16. A boy and his tube with a total weight of 415 N are pulled a distance of 255 m up the 18° incline (Fig. 9.29). Consider the Earth, the boy, his tube, and the snow along his path to make up the system. Find the energy transferred from the motor to the system via the work done by the rope.
FIGURE 9.29
Trending nowThis is a popular solution!
Chapter 9 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- A circular air hockey puck of radius r slides across a frictionless air hockey table and is subjected to several forces as shown below. The magnitude and direction of each force is given. Forces are applied at either the center of mass of the puck, the outer edge (a distance r from the center), or a distance halfway (r/2) between the center and the outer edge.arrow_forwardSuppose you use an ideal pulley of the type shown in image (a) in the figure below to support a car engine of mass 140 kg. (a) What would be the tension in newtons in the rope? N (b) What force in newtons must the ceiling supply, assuming you pull straight down on the rope? Neglect the pulley system's mass. Narrow_forwardSuppose you use an ideal pulley of the type shown in (see attached image) to support a car engine of mass 105 kg. (a) What would the tension in the rope be?..............................N(b) What force must the ceiling supply, assuming you pull straight up on the rope? The pulley system's mass is 8.50 kg...........................N (upward)arrow_forward
- Here we have successfully built up a problem that uses one topic from each of the four quarters of material we have covered. A block with mass m1 = 3.00 kg sits on a horizontal table and is attached to a rope. The rope then passes over a MASSIVE pulley and is attached to a block of mass m2 = 2.00 kg, which hangs vertically (see picture). The coefficient of kinetic friction of the interface between the table and m1 is 0.1. You may assume the pulley section is a disk with a mass of 2.00 kg. We will keep the pulley frictionless for brevity. This time, however, m1 is a piston attached to an isolated volume of air that is heated in such a way that the air is always allowed to expand ISOBARICALLY. The pressure of air inside AND outside the chamber is 1 atm. The initial volume of air is 0.100 m^3 . The cross-sectional area of the m1 piston on either side perpendicular to its motion is 0.0100 meters. a) Find the acceleration of the blocks using Newton’s Laws (no radius needed)arrow_forwardUse g = 10 m/s/s in the following problems. A). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark and hang 100 grams at the 40 cm mark. How much mass must you hang at the 90 cm mark to balance the system? B). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark, hang 100 grams at the 40 cm mark and hang 200 grams at the 30 cm mark. How much mass must you hang at the 90 cm mark to balance the system?arrow_forwarda. Because of the COVID 19 pandemic, a company in Ghana was contractedbyAIT to produce nose masks for distribution to students. This companyhas a belt drive facility that dispatches the nose masks from theproducing house to the packaging house. The mass of the normal forcebetween the belt and its driver wheel is 880kg. Show the steps whichwill be taken to determine the maximum force that can be transmittedwhen the belt is running at a constant speed. Assuming the dynamiccoefficient of friction is 0.77. What would be the work done and thekinetic energy in this instance, if the velocity is 20km/h and the distancebetween the producing house and the packaging house is 90 m?arrow_forward
- A Ball Rolling Uphill. A bowling ball rolls without slipping up a ramp that slopes upward at an angle b to the horizontal .Treat the ball as a uniform solid sphere, ignoring the finger holes. (a) Draw the free-body diagram for the ball.Explain why the friction force must be directed uphill. (b) What isthe acceleration of the center of mass of the ball? (c) What minimumcoefficient of static friction is needed to prevent slipping?arrow_forwardUse g = 10 m/s/s in the following problems. A). A 500 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 40 cm mark. How much mass must you hang at the 10 cm mark to balance the system? B). A 500 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 20 cm mark. How much mass must you hang at the 10 cm mark to balance the system?arrow_forwardA 1.5 kg block and a 2.7 kg block are attached to opposite ends of a light rope. The rope hangs over a solid, frictionless pulley that is 29cm in diameter and has a mass of 0.78kg. The pulley can be modeled as a cylinder. When the blocks are released, what is the acceleration of the lighter block?arrow_forward
- A solid ball is released from rest and slides down a hillside that slopes downward at 65.0° from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ball) from slipping? Justify your answer. (c) In part (a), why did we use the coefficient of static friction and not the coefficient of kinetic friction?arrow_forwardOne end (A) of a thin rod rests on a floor, with coefficient of static friction μs. The other end (B) of the rod leans against a frictionless wall. The rod has a length of L and a mass of m. The rod has a uniform density, so the center-of-mass is a distance L/2 from either end. The rod does not move. variables only (m, g, L, θ, μs) a) Draw a free body diagram for the rod clearly showing all forces and where they are applied. Hint: There are four forces! b) On your diagram, draw and label the line of action and lever arm for the weight force about point A. c) What is the torque produced by the weight force about point A? d) Using static equilibrium equations, find the three support forces (two at A, one at B). e) Given the coefficient of static friction μs, what is the smallest possible angle before the rod starts to move?arrow_forwardA 1360 - kg car moving at 6.40 m/s is initially traveling north along the positive direction of a y axis. After completing a 90° right-hand turn to the positive x direction in 4.00 s, the inattentive operator drives into a tree, which stops the car in 490 ms. (picture has the question)arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning