Concept explainers
A basin surrounding a drain has the shape of a circular cone opening upward, having everywhere an angle of 35.0° with the horizontal. A 25.0-g ice cube is set sliding around the cone without friction in a horizontal circle of radius R. (a) Find the speed the ice cube must have as a function of R. (b) Is any piece of data unnecessary for the solution? Suppose R is made two times larger. (c) Will the required speed increase, decrease, or stay constant? If it changes, by what factor? (d) Will the time interval required for each revolution increase, decrease, or stay constant? If it changes, by what factor? (e) Do the answers to parts (c) and (d) seem contradictory ? Explain.
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Chapter 6 Solutions
Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
- A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using an air track, a stopwatch, and a meterstick. The top of the track is measured to be 1.774 cm higher than the bottom of the track, and the length of the track is d = 127.1 cm. The cart is released from rest at the top of the incline, taken as x = 0, and its position x along the incline is measured as a function of time. For x values of 10.0 cm, 20.0 cm, 35.0 cm, 50.0 cm, 75.0 cm, and 100 cm, the measured times at which these positions are reached (averaged over five runs) are 1.02 s, 1.53 s, 2.01 s, 2.64 s, 3.30 s, and 3.75 s, respectively. (a) Construct a graph of x versus t2, with a best-fit straight line to describe the data. (b) Determine the acceleration of the cart from the slope of this graph. (c) Explain how your answer to part (b) compares with the theoretical value you calculate using a = g sin as derived in Example 4.3.arrow_forwardIn a "crazy elevator ride" at the amusement park, a 300 kg "elevator car" slides vertically down a frictionless shaft and curves onto a horizontal section, descending a total height of 25 m. On the horizontal section is a friction pad designed to bring the car to rest. If the coefficient of friction between the car and the pad is μk=0.4, how long in meters does the pad need to be to stop the car?arrow_forwardA small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 4.74 m, and x and y are measured in meters as usual. Now suppose the blocks starts on the track at x = 2.39 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? 6.74 m/s 4.86 m/s 3.44 m/s 4.98 m/sarrow_forward
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- If the motor exerts a constant force of 300 N on the cable, determine the speed of the 19-kg crate when it travels s = 10 m up the plane, starting from rest. The coefficient of kinetic friction between the crate and the plane is μk = 0.3.(Figure 1)Express your answer to three significant figures and include the appropriate units.arrow_forwardIn the figure, a 4.2 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 7.1 m/s, the height difference is h = 1.2 m, and u = 0.594. Find d. u= 0- Number Unitsarrow_forwardA skateboarder with mass m, = 44 kg is standing at the top of a ramp which is h, = 3.9 m above the ground. The skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is v= 6.7 m/s. Part (b) The ramp makes an angle e with the ground, where 0= 30°. Write an expression for the magnitude of the friction force, fr. between the ramp and the skateboarder. F;= cos(e) sin(0) 8 9 HOME d 1 2 3 hy m. + END Vf vol BACKSPACE CLEAR Part (c) When the skateboarder reaches the bottom of the ramp, he continues moving with the speed vonto a flat surface covered with grass. The friction between the grass and the skateboarder brings him to a complete stop after 5.00 m. Calculate the magnitude of the friction force, Fgras: in newtons, between the skateboarder and the grass. Fgras:=arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning