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
Physics for Scientists and Engineers
- A water slide is constructed so that swimmers, starting from rest at the top of the slide, leave the end of the slide traveling horizontally. As the drawing shows, one person hits the water 5.00 m from the end of the slide in a time of 0.418 s after leaving the slide. Ignore friction and air resistance, find the height H in the drawing. Water slide Number i Units Н 5.00 marrow_forwardA 1 kg Box slides down an inclined plane. It has an incline of 1.25664 radians and coefficient of kinetic friction of 0.44. What is the final speed of the Box if it started at rest and the change in height is 4 m? V =arrow_forwardA skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. It is 2 km long, and he starts with an initial speed of 5 m/s down the hill. If the coefficient of kinetic friction between his skis and the hill is 0.7: Does he make it to the bottom? If so, how long does it take?arrow_forward
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- In 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 = 5.1 m/s, the height difference is h = 1.0 m, and μk = 0.632. Find d. Number i Units d μ= 0- h - Мнarrow_forwardIn the figure, a 3.8 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 v = 6.3 m/s, the height difference is h = 0.98 m, and uk = 0.632. Find d. μ= 0 Number i Unitsarrow_forwardIf 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_forward
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- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning