Reference no: EM13996584
A designer plans to build a circular Indy 500 racetrack with a bank angle of 12o and it must keep cars moving at 150 miles per hour (242 km per hour) from sliding off the track even when the track is slick.
a) Draw a diagram showing all forces acting on a racecar as it rounds the track. Neglect friction.
b) Choose an x-y coordinate system and write the components of the forces. Why is the choice of a horizontal x-axis going to be better than the choice of an x-axis parallel to the track surface?
c) What conditions do you impose on the x acceleration to make this a circular motion problem?
d) What condition do you impose on the y acceleration so the car does not slide up or down the bank of the track?
e) Use the equations for x and y in part b) to show that tan θ = v2/(g r), is the condition for going around the circular track without sliding up or down the track in the absence of friction where v is the speed of the race car, r is the radius of the track, and θ is the bank angle.
f) What is the proper radius of the Indy 500 track in this problem for the bank angle of 12 degrees?
g) How long does it take a racecar to complete a lap around this track at a constant 242 km/hr?
|
What is the spring constant k
: Suppose they double the mass to 100 g, and measure 50 oscillations. What is the total time t they measure and what is the corresponding period T ?
|
|
What will be their experimental value g
: Students use a simple pendulum with a length of 36.9cm to determine the value of "g". If it takes 12.2s to complete 10 oscillations, what will be their experimental value "g"?
|
|
Find info online on magical realism
: Find info online on MAGICAL REALISM and write one-page discussion of it and its writers and write one page in which you find instances in the story by Marquez
|
|
Find the acceleration of the positron
: A positron is a particle with the same mass as an electron but the opposite charge (+e). If a positron is accelerated by a constant electric field of magnitude 347 N/C, find the following. Find the acceleration of the positron.
|
|
Draw a diagram showing all forces acting on a racecar
: Draw a diagram showing all forces acting on a racecar as it rounds the track. Neglect friction. What conditions do you impose on the x acceleration to make this a circular motion problem?
|
|
What is the minimum velocity he must jump with to safely
: A stunt man jumps horizontally from building to building. From his current position, he wishes to jump to a building 2m over and 2.5m below him. What is the minimum velocity he must jump with to safely make it onto the building?
|
|
Determine the total work done on the stunt person
: A stunt person whose mass is 62.5 kg falls from rest vertically downward a distance of 8.10 m. The person's fall is not 'free-fall' due to air resistance. The person's speed is 10.5 m/s just before hitting an air bag (that stops the fall). Determin..
|
|
Write a letter to an irate customer
: You are the public relations manager for a department store. Write a letter to an irate customer who has complained that the clerks were too busy socializing among themselves to give her any service or assistance
|
|
Permutation versus combination to solve a counting problem
: Write a 2 page research paper on assemblers. Explain the concepts discussed in the textbook using at least an example not included in the textbook. Use at least resources (Wikipedia sources are not permitted) and list each resource used at the en..
|