At what angle should the roadway on a curve with a 50 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is frictionless?     0°     12.2°     17.1°     35.0°     73.2°

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer the question and subquestions entirely. This is one single question. According to the official guideline, I can ask two subquestions! Thank you!

 

1)

At what angle should the roadway on a curve with a 50 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is frictionless?
   
   
12.2°
   
17.1°
   
35.0°
   
73.2°

 

a)

A 0.300 kg rock is rotating in a vertical plane on a 0.250 m long string. At the top of the path, the velocity is 4.00 m/s. Find the tension in the string at that point.
   
16.3 N
   
15.4 N
   
18.0 N
   
83.0 N

 

b)

If the magnitude of the velocity of an object moving in a circular path doubles, the centripetal acceleration is multiplied by:
   
1/4
   
1/2
   
2
   
4

 

c)

At what angle relative to the horizontal should a 52 m curve be banked if the road is covered with ice (no friction) to prevent the car from slipping when traveling at 12 m/s? (use g = 9.8 m/s 2)
   
28o
   
32o
   
16o
   
10o
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