Inquiry into Physics
Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 1, Problem 4C

A spoils car is advertised to have a maximum cornering acceleration of 0.85 g.
(a) What is the maximum speed that the car can go around a curve with a 100-m radius?
(b) What is its maximum speed for a 50-m radius curve?
(c) If wet pavement reduces its maximum cornering acceleration to 0.6 g, what do the answers to (a) and (b) become?

Expert Solution
Check Mark
To determine

(a)

Maximum speed of car around curve of radius 100m.

Answer to Problem 4C

Maximum speed of car around the curve of radius 100 m is 28.61 m/s.

Explanation of Solution

Given:

Acceleration in multiples of (a) = 0.85gRadius of the curver = 100 m.

Formula used:

Acceleration is given by the formula,

a=v2r.

Calculation:

a=0.85gwhere g = 9.81 m/s2a=0.85×9.81a=8.33m/s2

We have value for a, now using formula,

a=v2rv=arv=8.33×100v=28.86m/s.

Conclusion:

The maximum speed of car on the curve of 100m is 28.61m/s.

Expert Solution
Check Mark
To determine

(b)

The speed of a car around a curve of 50 m.

Answer to Problem 4C

The speed of car around a curve of 50 m is 20.40 m/s.

Explanation of Solution

Given:

The radius of the curver = 50 mAcceleration of car = 0.85g

Formula used:

Calculation:

Using the same formula above

a=8.33m/s2v=arv=8.33×50v=20.40m/s.

Conclusion:

The speed of the car on a curve of 50 m is 20.40 m/s.

Expert Solution
Check Mark
To determine

(c)

The speed of a car around a curve of 100 m and around a curve of

50 m if acceleration is changed to 0.6g.

Answer to Problem 4C

The speed of car around a curve of 100 m is 24.24 m/s

The speed of car around the curve of 50 m is 17.14 m/s.

Explanation of Solution

Given:

The radius of the curver = 100 mThe radius of the curver = 50 mAcceleration of cara = 0.6g.

Calculation:

Similarly as above,

a=0.6ga=0.6×9.81=5.88m/s2v=ar

When r = 100m.

v=5.88×100v=24.24m/s

Now, when r = 50m.

v=5.88×50v=17.14m/s.

Conclusion:

The speed of the car on a curve of100 m is 24.24 m/sThe speed of the car on a curve of50 m is 17.14 m/s.

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Chapter 1 Solutions

Inquiry into Physics

Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 11QCh. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 15QCh. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 17QCh. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 24QCh. 1 - Prob. 25QCh. 1 - Prob. 26QCh. 1 - Prob. 27QCh. 1 - A yacht is 20 m long. Express this length in feet.Ch. 1 - Prob. 2PCh. 1 - A convenient time unit for short time intervals is...Ch. 1 - One mile is equal to 1,609 m. Express this...Ch. 1 - A hypnotist, watch hanging from a chain swings...Ch. 1 - The quartz crystal used in an electric watch...Ch. 1 - A passenger jet flies from one airport to another...Ch. 1 - At the 2006 Winter Olympics in Torino, Italy, U.S....Ch. 1 - A runner in a marathon passes the 5-mile mark at 1...Ch. 1 - . The Moon is about 3.8 ×108 m from Earth....Ch. 1 - . In Figure 1.13, assume that m/s and m/s. Use a...Ch. 1 - . On a day when the wind is blowing toward the...Ch. 1 - . How far does a car going 25 m/s travel in 5 s?...Ch. 1 - . A long-distance runner has an average speed of 4...Ch. 1 - . Draw an accurate graph showing distance versus...Ch. 1 - The graph in Figure 1.38 shows the distance versus...Ch. 1 - . A high-performance sports car can go from 0 to...Ch. 1 - . As a baseball is being thrown it goes from 0 to...Ch. 1 - . A child attaches a rubber ball to string and...Ch. 1 - . A child sits on the edge of spinning...Ch. 1 - . A runner is going 10 m/s around a curved section...Ch. 1 - During a NASCAR race, a car goes 50 m/s around a...Ch. 1 - . A rocket accelerates from rest at a rate of 64...Ch. 1 - . Initially staionary, a train has a constant...Ch. 1 - . (a) Draw an accurate graph of the speed versus...Ch. 1 - . Draw an accurate graph of the velocity versus...Ch. 1 - . A skydiver jumps out of a helicopter and falls...Ch. 1 - . A rock is dropped off the side of a bridge and...Ch. 1 - . The roller coaster in Figure 1.39 starts at the...Ch. 1 - . During takeoff, an airplane goes from 0 to 50...Ch. 1 - Prob. 31PCh. 1 - . A bungee jumper falls for 1.3 s before the...Ch. 1 - . A drag-racing car goes from 0 to 300 mph in 5 s....Ch. 1 - Prob. 1CCh. 1 - The Moon's mass is 7.35 1022 kg, and it moves in a...Ch. 1 - A car is stopped at a red light. When the light...Ch. 1 - A spoils car is advertised to have a maximum...Ch. 1 - A spacecraft lands on a newly discovered planet...Ch. 1 - Prob. 6CCh. 1 - Prob. 7CCh. 1 - A race car starts from rest on a circular track...Ch. 1 - Prob. 9C
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