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 r₁= 10.0 r and r2 = 15.0 m, respectively. A (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? (b) What is the maximum speed the vehicle can have at Band still remain on the track? m/s

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 r₁= 10.0 r and r2 = 15.0 m, respectively. A (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? (b) What is the maximum speed the vehicle can have at Band still remain on the track? m/s

Name: A roller-coaster car has a mass of 513 kg when fully loaded with pass
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: 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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

See similar textbooks

Similar questions

A space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y components.
Vmax In a laboratory experiment, a sphere of diameter 8.0 mm is released from rest at t = 0 at the surface of honey in a jar, and the sphere's downward speed v when it travels in the honey is found to be given by v = Vmax (1 - e-t/T), where 0.040 m/s and T = 0.50 s. (a) Obtain an expression for a(t). (b) Draw graphs for v(t) and a(t) for the time interval 0 to 2.0 s. (c) Obtain an expression for x(t), choosing the positive x axis as downward, and draw the graph for this func- tion. (d) Use your x(t) graph to determine the time interval needed for the sphere to reach the bottom of the container if the surface of the honey is 0.10 m above the bottom of the jar. ... =
An experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g?
A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?
A skier is at the top of a hill with height h. Starting from rest, the skier goes down to a flat area. On this flat area, there is a section of the slope with length D where the snow has melted (there is friction here). After passing the melted section, the skier goes up a smaller hill of height h2. At the top of this hill there is a drop off and the skier launches off of it with a horizontal speed. At what horizontal distance from the base of the jump does the skier land?
While traversing a two-lane highway, the driver observes a girl, 60 m ahead, at the edge of the traveled way of the opposite direction about to cross the road. The lane width of the traveled way is 3.5 m. The vehicle is 2 m wide and 3 m long. The speed of the vehicle is 75 kph and the walking speed of the girl is 1.5 m/s. The vehicle is traveling along the centerline of the traveled way. Asssume that the driver's PR time is 0.8 sec and the coefficient of friction between the vehicle tires and the pavement is 0.4. a. If the roadway is level, will the girl be able to corss the road safely? b. If the roadway has down grade of 0.5%, what is the coefficient of friction between the tires and the pavement required so that the driver won't hit the girl? c. Using the original coefficient of friction between vehicle tires and the pavement, at what roadway grade is the vehicle traversing such that the vehicle was just able to stop without hitting the girl?
During a portion of a vertical loop, an airplane flies in an arc of radius p = 581 m with a constant speed v = 372 km/h. When the airplane is at A, the angle made by v with the horizontal is B = 31°, and rada tracking gives r = 721 m and 8 = 36°. Calculate v,, ve, a,, and O for this instant. Answers: Im/s ve = Im/s Im/s? a, = rad/s?
A small object moves at constant speed in a horizontal circle of radius 0.425 m. If the object makes two complete revolutions in one second, what is the magnitude of the acceleration of the object?
In the winter sport of bobsledding, athletes push their sled along a horizontal ice surface and then hop on the sled as it starts to careen down the steeply sloped track. In one event, the sled reaches a top speed of 9.2 m/s before starting down the initial part of the track, which is sloped downward at an angle of 6.0°. What is the sled’s speed after it has traveled the first 100 m?
In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0 north of west; then 4.70 km 60.0 south of east; then 1.30 km 25.0 south of west; then 5.10 km straight east; then 1.70 km 5.00 east of north; then 7.20km 55.0 south of west; and finally 2.80 km 10.0 north of east. What is his final position relative to the island?
A stone is thrown at a cliff with a height of h. If the stone is thrown with an initial speed of 42 m/s at an angle θ=60° and hits the cliff at A 5.5 seconds later, determine the speed of the stone when it hits A. Use g = 10 m/s/s.
(a) What is the magnitude of the centripetal acceleration of an object on Earth’s equator due to the rotation of Earth? (b) What would Earth’s rotation period have to be for objects on the equator to have a centripetal acceleration of magnitude 9.8 m/s2?