A roller-coaster car has a mass of 497 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or righ Assume the roller-coaster tracks at points and are parts of vertical circles of radius r₁- 10.0 m and r2 = 15.0 m, respectively. (a) If the vehicle has a speed of 20.3 m/s at point, what is the force exerted by the track on the car at this point? N (b) What is the maximum speed the vehicle can have at m/s and still remain on the track?

A roller-coaster car has a mass of 497 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or righ Assume the roller-coaster tracks at points and are parts of vertical circles of radius r₁- 10.0 m and r2 = 15.0 m, respectively. (a) If the vehicle has a speed of 20.3 m/s at point, what is the force exerted by the track on the car at this point? N (b) What is the maximum speed the vehicle can have at m/s and still remain on the track?

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)...

See similar textbooks

Related questions

Q: The rotor of an ultracentrifuge rotates at a frequency of 50,000 rpm. A particle at the top of the…

Q: A polka-dotted bowling ball is thrown horizontally off a cliff at 45 m/s. It takes 3.2 s for the…

A: Given data: Initial horizontal velocity (v0x) = 45 m/s Time taken to hit the ground (t) = 3.2 s…

Q: A roller-coaster car has a mass of 505 kg when fully loaded with passengers. The path of the coaster…

Q: (a) What is the speed of the roller coaster, in meters per second, at the top of the loop if the…

A: The objective of the question is to find the speed of the roller coaster at the top of the loop, the…

Q: A manufacturer of CD-ROM drives claims that the player can spin the disc as frequently as 1100…

A: Given data: Angular speed =1100 revolutions per minute Distance r=2.8 cm

Q: Sway drives on a banked circular track with radius 99.0 m, and travels at a constant speed of 150…

A: The maximum velocity with which a vehicle can travel in a banked road with radius R, bank angle θ,…

Q: The length of the arc is 250 meters, and the time to turn is 37 seconds. Calculate the x-component…

A: PART A) Length of arc is L = 250 m Time to turn is t = 37 s Angle from A to B is 69 degrees…

Q: How fast would a car have to round a turn with a radius of 70 m for its acceleratio

A: During the turn,the centripetal force acting on the car will be the force responsible for the…

Q: A certain centrifuge produces a centripetal acceleration of magnitude exactly 1320g at a point 10.8…

A: Ans:- Image-1

Q: person drives a car around a circular cloverleaf with a radius of 66 m at a uniform speed of 10 m/s.…

A: Here we have to find the acceleration of the car. We are given with the radius r=66 m Uniform…

Q: In the figure below an object of mass m starts from rest on a roller coaster with negligible…

Q: A roller-coaster car has a mass of 504 kg when fully loaded with passengers. The path of the coaster…

A: Given,m = 504 kgr1 = 10.0 mr2 = 15.0 mvA = 19.8 ms

Q: A roller-coaster car has a mass of 502 kg when fully loaded with passengers. The path of the coaster…

A: Concept: Here in this question, we have to determine the force exerted by the track on the car at…

Q: A rock is thrown off a cliff at an angle of 53o with respect to the horizontal. The cliff is 100 m…

Q: In the figure, a stone is projected at a cliff of height h with an initial speed of 41.0 m/s…

Q: rotation, a hammer thrower maintains a constant acceleration of his hammer. From 28 m/s, the hammer…

A: We know that the third equation of the angular motion is given as ω2=ω02+2αθ where ω is the…

Q: Please use the equations provided I have to jump to a step 30 cm above a launch point and 1.67…

Q: Until 1883, every city and town in the United States kept its own local time. Today, travelers reset…

A: Earth's rotation rate is ratio degrees per rotation and time

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: Given: In this question, the given details are, A fairground ride spins its occupants inside a…

Q: In the first scene of the 1981 movie Raiders of the Lost Ark, archaeologist Indiana Jones…

Q: A ball of mass 1.2 kg and a diameter of 36.1 cm is attached to a string of length 1.6 m. It moves in…

Q: W A gray car with a mass of 1500 kg, a wheelbase length (1)of 2000 mm and a wheelbase width (w) of…

Q: A rotating fan completes 1200 revolutions every minute. Consider a point on the tip of a blade, at a…

A: Number of revolution n= 1200Radius of blad r=0.10 mTime t= 1minute =60 Seconds

Q: Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a…

Q: 1. A 75.0 cm diameter high-speed flywheel in an electric motor is rotating when a power failure…

A: Diameter = 75cm Radius (r)= 37.5cm= 0.375m Tangential velocity = 19.5- 0.263t

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A roller-coaster car has a mass of 497 kg when fully loaded with passengers. The path of the coaster from its initial point
shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right.
Assume the roller-coaster tracks at points and are parts of vertical circles of radius r₁ = 10.0 m and r2 = 15.0 m,
respectively.
(a) If the vehicle has a speed of 20.3 m/s at point
point?
N
B
what is the force exerted by the track on the car at this
(b) What is the maximum speed the vehicle can have at and still remain on the track?
m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A skateboarder rolls upward along a curved ramp, as shown in the diagram, and reaches the highest point thatis a vertical height of 7.5 m above the base of the ramp. (a) What would the initial speed at the base of the ramp (point A) required for the skateboarder to reachthe top of the ramp be? (b) What is the skateboarder’s speed at the point that is 1.1 m vertically above the base of the ramp?
A car of massm travels around a flat, circular curve of radius r at the fastest possible speed, v = 13.5 m/s without sliding off. The car and road have a coefficient of friction, between them. If the car wishes to take the turn at 2.4x the velocity, by what factor would the radius need to increase (so the car doesn't slide off) ? Give your answer to 1 decimal place.
NASA’s Cassini mission to Saturn released aprobe on December 25, 2004, that landed on the Saturnian moonTitan on January 14, 2005. The probe, which was named Huygens,was released with a gentle relative speed of 31 cm>s. As Huygensmoved away from the main spacecraft, it rotated at a rate of sevenrevolutions per minute. (a) How many revolutions had Huygenscompleted when it was 150 yards from the mother ship? (b) Howfar did Huygens move away from the mother ship during each revolution? Give your answer in feet
A person drives a car around a circular cloverleaf with a radius of 64 m at a uniform speed of 10 m/s. (a) What is the acceleration of the car? (b) Compare this answer with the acceleration due to gravity as a percentage.
A roller-coaster car has a mass of 513 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and- down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius ₁ = 10.0 m 15.0 m, respectively. and r2 = B (a) If the vehicle has a speed of 19.9 m/s at point, what is the force exerted by the track on the car at this point? N (b) What is the maximum speed the vehicle can have at B and still remain on the track? m/s
A ball of mass 4.7 kg and a diameter of 68.2 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 3.0 m above the ground. The string makes a constant angle of 17 ° with respect to vertical. L m (a) What is the speed of the ball? (b) What is the tension in the string?
A skateboarder, with an initial speed of 2.2 m/s, rolls virtually friction-free down a straight incline of length 18 m in 3.3s. - At what angle θ is the incline oriented above the horizontal?
No figure.