Science

PhysicsQ&A Library13. A roller coaster at the Six FlagsQIC Great America amusement parkin Gurnee, Illinois, incorporatessome clever design technologyand some basic physics. Each ver-tical loop, instead of being cir-cular, is shaped like a teardrop(Fig. P6.13). The cars ride onthe inside of the loop at the top,and the speeds are fast enoughto ensure the cars remain on thetrack. The biggest loop is 40.0 mhigh. Suppose the speed at thetop of the loop is 13.0 m/s andthe corresponding centripetalacceleration of the riders is 2g. (a) What is the radius of thearc of the teardrop at the top? (b) If the total mass of a carplus the riders is M, what force does the rail exert on the carat the top? (c) Suppose the roller coaster had a circular loopof radius 20.0 m. If the cars have the same speed, 13.0 m/sat the top, what is the centripetal acceleration of the ridersat the top? (d) Comment on the normal force at the top inthe situation described in part (c) and on the advantages ofhaving teardrop-shaped loopsFigure P6.13Frank Cezus/Photographer's Choice/Getty ImagesQuestion

Asked Oct 25, 2019

40 views

Step 1

Let *v* be the velocity of the roller coaster at the top of the teardrop, a_{c} be the centripetal acceleration at the top, and r be the arc radius.

Write the expression for the centripetal acceleration at the top, and substitute the known values.

Step 2

Let N be the force applied by the rails on the roller coaster car.

Write the expression for newton’s second law of motion.

Step 3

Let the radius of the circular loop is r1.

Write the expression for cent...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: The angular speed of an automobile engine is increased at a constant rate from 982 rev/min to 3230 r...

A: Given information:

Q: Three identical blocks connected by ideal strings are being pulled along a horizontal frictionless s...

A: Given,

Q: A 60.0 kg skier with an initial speed of 12.0 m/s coasts up a 2.50 m high rise as shown above. Find...

A: Given

Q: Early test flights for the space shuttle used a "glider" (mass of 900 kg including pilot). After a h...

A: Given:Mass of the glider = 900 kgInitial velocity = 460 km/hFinal velocity = 200 km/hVertical height...

Q: What is the angular speed of (a) the second hand, (b) the minute hand, and (c) the hour hand of a sm...

A: Click to see the answer

Q: The figure here shows a plot of potential energy U versus position x of a 0.878 kg particle that can...

A: (a)Let the velocity at x = 1.0 m be vWe know: Total energy = kinetic energy...

Q: How do you conceptualize getting at root of question that asks how long should you make a pendulum s...

A: Given,

Q: Suppose the ski patrol lowers a rescue sled and victim,having a total mass of 90.0 kg, down a 60.0º ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Sketch a ray diagram for a concave mirror with an object at Do =R and describe the image characteris...

A: The ray diagram of convex lens with D0=2f is shown as figure below.CHARACTERICTICS:The image is real...