A 35.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 19.0 m. (a) What is the centripetal acceleration of the child? (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? (c) What force does the seat exert on the child at the highest point of the ride? (d) What force does the seat exert on the child when the child is halfway between the top and bottom? Step 1 (a) The child moves in a circular path of radius r 9.5 m with a constant angular velocity of w = 4.00 rev/min. The centripetal acceleration is v.2 ro2 ас r 1 min \2 2л rad rev/min m 60 sec 1 rev m/s2

A 35.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 19.0 m. (a) What is the centripetal acceleration of the child? (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? (c) What force does the seat exert on the child at the highest point of the ride? (d) What force does the seat exert on the child when the child is halfway between the top and bottom? Step 1 (a) The child moves in a circular path of radius r 9.5 m with a constant angular velocity of w = 4.00 rev/min. The centripetal acceleration is v.2 ro2 ас r 1 min \2 2л rad rev/min m 60 sec 1 rev m/s2

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

An object sits at rest on a ramp. As the angle of inclination of the ramp increases, the object suddenly begins to slide. Which of the following explanations best accounts for the object's movement? O The coefficient of static friction has decreased sufficiently. ) The friction has decreased sufficiently while the normal force has remained unchanged. OThe force of gravity acting on the object has increased sufficiently. ) The normal force has increased sufficiently. The component of gravity along the ramp has increased sufficiently.
A rescue helicopter is lifting a man (weight = 707.434961342262 N) from a capsized boat by means of a cable and harness. (a) What is the tension in the cable when the man is given an initial upward acceleration of 1.31 m/s2? (b) What is the tension during the remainder of the rescue when he is pulled upward at a constant velocity?
A magnet of mass 5.62 kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F = 100.2 N. At what angle theta ?with respect to the vertical does the magnet hang? 45.0 degrees 51.7 degrees 61.2 degrees 28.8 degrees
On Mars, the gravitational field constant is g = 3.7 N/kg. 1. When the object does encounter the atmosphere of Mars and reaches terminal velocity, what would the free-body diagram look like? Please label the forces involved.
Suppose a car rounds a curve at a constant speed of 13 m/s. The curve is a circular arc with a radius of 100 m. Ignore air friction initially. (a) What is the magnitude and direction of the horizontal force that the road must exert on the car to keep it moving along the curve? Express this magnitude as a fraction of the car’s weight. The magnitude of the horizontal force is _______∣F→g∣|. The direction is (Choose one) Horizontal and parallel to the direction the car turns to Vertical and perpendicular to the direction the car turns to vertical and parallel to the direction the car turns to horizontal and perpendicular to the direction the car turns to (b) Now suppose that air friction is not zero, but is about half the result that you calculated for part (a). Must the force that the road exerts on the car increase in magnitude compared to the no-drag case? (Choose )Yes or No Must it change its direction? (Choose) Yes Or No
Say that an object of mass is pushed by a system of two radial Forces and moves with a constant speed V In a circle. Which of the following relations are true about this motion? A) The acceleration of the system is zero because the speed is constant B) The object will experience a net centrifugal force that will tend to throw the mass out of the circle C) The object will experience a net centripetal force that will tend to keep the mask on the circle. D) F1-F2=mv^2/r E) Only (c) and (d) are true
(a) What happens to the gravitational force between two objects if their separation is doubled? (b) Two objects with masses of m,= 5 kg and m2= 8 kg are connected by a light string that passes over a frictionless pulley, as in figure. Determine (i) the acceleration of each object, (ii) the tension in the string and (iii) the distance each object will move in 0.8 s of motion if both objects start from rest. m2
The gravitational force exerted on a baseball is 2.11 N down. A pitcher throws the ball horizontally with velocity 18.5 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 158 ms. The ball starts from rest. (a) Through what distance does it move before its release? m (b) What are the magnitude and direction of the force the pitcher exerts on the ball? (Enter your magnitude to at least one decimal place.) magnitude direction N ° above the horizontal
A city is trying to determine the speed limit for a given stretch of road. If a stop sign is visible from 62.0m on a straight, horizontal stretch of road and the coefficient of static friction between the road and the tires of a car is 0.525 then what is the maximum speed for a car in meters per second so that it can come to a complete stop at the stop sign?
A magnet of mass 6.41 kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F = 146.0 N. At what angle theta ?with respect to the vertical does the magnet hang? 66.7 degrees 23.3 degrees 27.0 degrees 30.2 degrees
An airplane travels 79 m/s as it makes a horizontal circular turn which has a 787 m radius. What is the magnitude of the resultant force (in Newtons) on the 57-kg pilot of this airplane?
A 0.605 kg toy train engine is travelling around a horizontal circular track. The track has a radius of 0.830 m. The track can provide a maximum horizontal force of 3.00 N resulting in circular motion. What is the minimum time that the train can take to travel once around the track. Assume the that the train maintains a constant speed. State the time in seconds to 2 decimal places.