College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 5, Problem 15P
To determine
The maximum speed at which a car can safely navigate the turn.
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In a recent study of how mice negotiate turns, the mice ran around a circular 90° turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.29 m/s. What is the minimum coefficient of friction between the track and the mouse’s feet that would allow a turn at this speed?
In a recent study of how mice negotiate turns, the mice ran BIO around a circular 90° turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.29 m/s. What is the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed?
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Chapter 5 Solutions
College Physics, Volume 1
Ch. 5.1 - Velocity and Acceleration in Circular Motion...Ch. 5.1 - Prob. 5.2CCCh. 5.2 - Prob. 5.3CCCh. 5.3 - Prob. 5.5CCCh. 5.4 - Prob. 5.6CCCh. 5.4 - Prob. 5.7CCCh. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Consider the Cavendish experiment in Figure 5.22....
Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - What force makes it possible for a car to move...Ch. 5 - Prob. 9QCh. 5 - Prob. 10QCh. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 17QCh. 5 - Prob. 18QCh. 5 - Plutos mass. In 1978, it was discovered that Pluto...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - A compact disc spins at 2.5 revolutions per...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Consider the motion of a rock tied to a string of...Ch. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 29PCh. 5 - Consider a Ferris wheel in which the chairs hang...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - A rock of mass m is tied to a string of length L...Ch. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77P
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- Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.arrow_forwardA flat (unbanked) curve on a highway has a radius of 220 m. A car rounds the curve at a speed of 25.0 m/s. What is the minimum coefficient of friction that will prevent sliding?arrow_forwardA bobsled travels along a frictionless track. It crosses the starting line with a speed of v0=3.1 m/s. At an elevation of 21m below the starting line, it takes a turn along a flat section of track (that is not uphill or downhill). This curve is banked and has a radius of curvature of r=14 m. How many times their normal weight will a rider feel when going around this curve?arrow_forward
- A velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.arrow_forwardYou are exiting a highway and need to slow down on the off-ramp in order to make the curve. It is rainy and the coefficient of static friction between your tires and the road is only 0.6. If the radius of the off-ramp curve is 24 m, then to what speed do you need to slow down the car in order to make the curve without sliding? (answer in m/s)arrow_forwardBanked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle ? = 23.2° and radius of curvature 168 m. (a) If the coefficient of static friction between the car's tires and the road is ?s = 0.393, what is the range of speeds for which the car can safely negotiate the turn without slipping? vlow=? m/s. vhigh= ? m/s b)What is the minimum value of ?s for which the car's minimum safe speed is zero? Note that friction points up the incline here.arrow_forward
- Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle 0 = 28.4° and radius of curvature 190 m. (a) If the coefficient of static friction between the car's tires and the road is μ = 0.338, what is the range of speeds for which the car can safely negotiate the turn without slipping? Vlow= m/s Vhigh = m/s (b) What is the minimum value of μs for which the car's minimum safe speed is zero? Note that friction points up the incline here.arrow_forwardA flat (unbanked) curve on a highway has a radius of 220.0 m. A car rounds the curve at a speed of 25.0 m/s. (a) What is the minimum coefficient of friction that will prevent sliding? (b) Suppose the highway is icy and the coefficient of friction between the tires and pavement is only one-third what you found in part (a). What should be the maximum Speed of the car so it can round the curve safely?arrow_forwardA car travels at a steady 39 m/s around a horizontal curve of radius 143 m. What is the minimum coefficient of static friction between the road and the car's tires that will allow the car to travel at this speed without sliding?arrow_forward
- Bob is driving with constant speed in a curved path with radius r = 50 m. If the coefficient of static friction between his tires and the road is 0.5, what is the maximum speed he can have without skidding?arrow_forwardTwo banked curves have the same radius. Curve A is banked at 12.3 °, and curve B is banked at an angle of 16.4 °. A car can travel around curve A without relying on friction at a speed of 16.8 m/s. At what speed can this car travel around curve B without relying on friction?arrow_forwardThe net force on a car traveling around a curve is the centripetal force, Fc = m v2 / r, directed toward the center of the curve. For a level curve, the centripetal force will be supplied by the friction force between the tires and roadway. 1)What must be the coefficient of friction between the tires and the level roadway to allow a car to make a curve of radius r = 350 m at a speed of 80 km/h? 2) If this driver went out and bought extra "grippy" tires what effect would that have on the maximum speed he could drive in this circle? Explain 3) Another car did this experiment in a larger traffic circle. That car had the same max speed as this car did. How does the coefficient of friction of the second car compare to this one? Explain 4)A third car does this experiment and finds that it can only travel at HALF the max speed in this same traffic circle. What is the coefficient of friction between this new car's tires and the pavement? Explainarrow_forward
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