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26 Nov 2019

In which of the following scenarios are you in equilibrium?

a. standing still on a chair

b. sliding straight down an icy hill at a steady speed

c. sliding around a corner at the bottom of that icy hill

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Tod Thiel
Tod ThielLv2
22 Oct 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Peter Penguin (12 kg) is standingat the top of an icy hill (H) overlooking an obstacle course. Heslides down the first hill and skids across a rough patch of snowyice(with coefficient of friction=.4 for 5m). After sliding up asecond incline (8 m high) he sails over a gap (10 m) and lands onthe next hill (10 m high). Just as he reaches the base of that hill(with coefficient of friction =.1 for x m), his friend (12 kg)tackles him from above. Together they crash into a snow bank thatacts like a spring (k=360 N/m). The angle of the first snow bankwith the horizontal is 30 degrees.

a) find the minimum height at which the penguin must start tocomplete this course.
b) Determine how deeply into the snowbank the pair of penguinssink.

5.48. A flat (unbanked) curve on a highway has a radius of 170.0 m. A car rounds the curve at a speed of 25.0 m/s. (a) What is the minimum coefficient of static friction that will prevent sliding? (b) Suppose that the highway is icy and the coefficient of static friction between the tires and pavement is only one-third of what you found in part (a). What should be the maximum speed of the car so that it can round the curve safely?

Engineering a highway curve. If a car goes through acurvetoo fast, the car tends to slide out of the curve. For abankedcurve with friction, a frictional force acts on a fast cartooppose the tendency to slide out of the curve; the forceisdirected down the bank (in the direction water woulddrain).Consider a circular curve of radius R = 210 mandbank angle θ, where the coefficient of static frictionbetween tiresand pavement is μs. A car (withoutnegative lift) isdriven around the curve as shown in Figure 6-13.Find an expressionfor the carspeed vmax that puts the car ontheverge of sliding out, in terms of R, θ,andμs. In kilometers per hour,evaluatevmax for a bank angle ofθ = 11° andfor(a) μs = 0.47(dry pavement)and(b) μs = 0.044(wet or icy pavement).(Now you can see why accidents occur inhighway curves when icyconditions are not obvious to drivers, whotend to drive at normalspeeds.)

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