A roller-coaster car has a mass of 499 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 20.9 m/s at point, what is the force exerted by the track on the car at this point? 24851.2 X Draw a free-body diagram of the cart at the point. Include only 'real' forces (i.e. do not include anything labeled centripetal or centrifugal). In what direction should the net force point? N (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 499 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 20.9 m/s at point, what is the force exerted by the track on the car at this point? 24851.2 X Draw a free-body diagram of the cart at the point. Include only 'real' forces (i.e. do not include anything labeled centripetal or centrifugal). In what direction should the net force point? N (b) What is the maximum speed the vehicle can have at Band still remain on the track? m/s

Name: **Roller Coaster Physics Problem**A roller-coaster car has a mass of
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: **Roller Coaster Physics Problem**A roller-coaster car has a mass of **499 kg** when fully loaded with passengers. The path of the coaster, from its initial point shown in the diagram to point **B**, involves only up-and-down motion (as seen by the

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

Similar questions

The figure shows two possible paths for negotiating an unbanked turn on a horizontal portion of a race course. Path A-A follows the centerline of the road and has a radius of curvature PA = 81 m, while path B-B uses the width of the road to good advantage in increasing the radius of curvature to PB = 189 m. If the drivers limit their speeds in their curves so that the lateral acceleration does not exceed 0.68g, determine the maximum speed for each path. 189 m Answers: (VA)max= (VB)max= i i 81 m m/s m/s
Two people swing jump ropes, as shown in the diagram. The highest point of the middle of each rope is M = 77 inches above the ground, and the lowest point is m 7 inches. The rope makes 4 revolutions per second. Write a model for the height h (in inches) of a rope as a function of the time t (in seconds) given that the rope is at its lowest point when t = 0. i ↑ h = h(t) = M Kit m -
A golf ball is hit from the edge of a small cliff in such a way that it goes through a basketball hoop as shown in the figure below. The golf ball is launched with an initial speed v, = 10 m/s at an angle 0 such that cos(8) = 3/5 and sin(8) = 4/5. The basketball hoop is at the same height as the small cliff, which is equal to H = 12 m, and you may approximate the acceleration due to gravity as g = 10 m/s². H
A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a ramp of 27.7 degrees at a speed of 42.3 m/s. What would be the largest number of buses he can clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 10.0 m long? Use g = 9.8 m/s?. Your answer should be in the form of an integer number (e.g., 3 buses, not 3.4 buses).
A ball of massmslides down a frictionless ramp from an initial heighth1= 10 mwith respect to the ground. The ramp exhibits a curvature near the bottom such that theball is launched from the end of the ramp at a heighth2= 1 m above ground level and atan inclination angle ofθ= 40◦with respect to the horizontal (see figure). Find the totaldistance ∆xthat the ball lands as measured from the end of the ramp, assuming that theball lands at ground level. Ignore air resistance, and treat the ball as a point source.
The figure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 245 m in length, and the particle moves from A to C in 38.0 s. Point B on the path is 35.0° below the x-axis. 0 35.0⁰ (a) What is the speed of the object (in m/s)? m/s Need Help? (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s² and the direction in degrees counterclockwise from the +x-axis.) magnitude m/s² direction Read It counterclockwise from the +x-axis
A ball is released from rest at the top of an incline whose height 7.6 centimeters and base 59.2 centimeters. Taking x0 = 0 at the top of the incline, the horizontal location (along the base, in centimeters) of the ball after 0.56 seconds is:
A package of mass 5 kg is released from a channel as shown in the figure, slides down. Package, AB to the curved part (0 = 0°) 8 m/s is moving rapidly. your channel the package assuming it is smooth, (a) its velocity when it reaches the C point (0 = 30°), and (b) when it reaches the horizontal plane (b) (@=45°, B noktası) nset the speed. (c) The normal force acting on the package at C calculate. 450 B 8=30° 20 m C 8 m/s A 45°
An Earth satellite moves in a circular orbit 687 km above Earth's surface with a period of 98.30 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite?
A bicyclist is at the bottom of a hill with a speed of 30ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15ft/s. Her total acceleration at the top of the hill is 1.3ft/s^2. Assuming acceleration is constant, what is the radius of curvature of the hill?
This question came up on my homework and I am having a lot of trouble with it. I know how to answer the first part (part a) through antidifferentiation but after that the two parts b and c are very unfamiliar and I have no idea where to start. Any tips? The velocity at time t of an object moving along an axis is t^3 − 3t. (a) Compute the net displacement between t = 0 and t = 3. (b) During what time intervals was it moving forward (resp. backward)? (c) What was its total distance traveled?
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?