A roller-coaster car has a mass of 500 kg when fully loaded with passengers. At the bottom of a circular dip of radius 40 m (as shown in the figure) the car has a speed of 16 m/s. What is the magnitude of the force of the track on the car at the bottom of the dip?

A roller-coaster car has a mass of 500 kg when fully loaded with passengers. At the bottom of a circular dip of radius 40 m (as shown in the figure) the car has a speed of 16 m/s. What is the magnitude of the force of the track on the car at the bottom of the dip?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton’s Laws

Section: Chapter Questions

Problem 6.38AP: The mass of a roller-coaster car, including its passengers, is 500 kg. Its speed at the bottom of...

See similar textbooks

Related questions

Q: Miranda, a satellite of Uranus, is as shown. It can be modeled as a sphere of radius 242 km and mass…

A: The expression for the surface gravity of the Miranda, Substitute, Therefore, the free fall…

Q: A roller-coaster car at an amusement park has a mass of 1200 kg when fully loaded with passengers.…

Q: In the figure below, a car is driven at constant speed over a circular hill and then into a circular…

A: Write the mass of the driver. m=75.2 kg Write the normal force on the driver from the seat. N1=0

Q: A 429 kg roller coaster is at the bottom of a loop with a radius of 10m. If the speed at the bottom…

A: In circular motion, Net force = centripetal force (mv^2/r) V = speed at that point R = radius M =…

Q: An airplane pilot experiences the sensation of zero gravity when passing through the top of a…

A: Given: speed, v = 200 m/s

Q: A car is driving through the bottom of a circular valley at a speed vv as shown in the picture. When…

A: Given: The car is driving through the bottom of a circular valley. Since car is moving through a…

Q: A 32-g ball at the end of a string is swung in a vertical circle with a radius of 30 cm. The…

Q: A newly discovered planet has a mass of 7.0 x 1023 kg and radius 1000 km. What is the free fall…

A: The given values are, m=7.0×1023 kgR=1000 km=1000×103 m

Q: A 1000-kg car moving with a speed of 80 km/h goes up a circular section of a road with radius R= 200…

A: Given data: Mass of car (m) = 1000 kg Speed (v) = 80 km/h = 22.22 m/s Radius (R) = 200 m Angle (θ)…

Q: A stunt airplane flies in a vertical circular loop of radius r at a constant speed. When the…

A: If an object moves in circular motion it requires centripetal force which is provided by already…

Q: A rock of mass 0.6 kg tied to a string is spinning around in a circle with a radius of 1.1 m, at a…

A: Let us assume the rock is undergoing a circular motion in the vertical plane. The tension in the…

Q: A 359 kg roller coaster is at the bottom of a loop with a radius of 10m. If the speed at the bottom…

A: Newton's second law is a quantitative description of the changes that a force can produce on the…

Q: A 3.0-kg rocket-propelled toy car has a speed of 6.0 m/s as it rides inverted at the top of a…

A: A 3.0-kg rocket-propelled toy car has a speed of 6.0 m/s as it rides inverted at the top of a…

Q: A newly discovered planet has a mass of 8.5 x 1023 kg and radius 1000 km. What is the free fall…

Q: A ball of mass m = 0.275 kg swings in a vertical circular path on a string L= 0.850 m long as shown…

Q: A 1500 kg car drives at 30 m/s over a circular hill that has a radius of 460 m. At the point shown…

A: Write a given values of this question. m=1500kgv=30m/sr=460mθ=30∘

Q: an object with a mass of 0.5 kg is doing uniforma cicular motion, the circle radius is 1.2 meters…

A: Calculate the angular velocity using the information 20 turns in 33 s. ω=20(2π)33ω=3.81 rad/s Now…

Q: An audio CD has a diameter of 120 mm and spins at up to 540 rpm. When a CD is spinning at its…

Q: A toy car, of mass 0.10 kg, is travelling along a track which contains a vertical circular loop of…

Q: The iron ball shown is being swung in a vertical circle at the end of a 0.7m string. How slowly can…

A: Answer v=2.6 m/s

Q: A stone with a mass of 0.567 kg is tied to the end of a cord that is 1.02 m long and swung in a…

A: Mass , m = 0.567 kg radius , r = 1.02 m Time , T = 0.736 s To find = a) Speed of stone…

Q: A 2 kg ball is moving with a constant speed of 5 m/s in a horizontal circle whose radius is 50 cm.…

A: Given: Mass of the ball, m = 2 kg speed, v = 5 m/s Radius, r = 50 cm 0.5…

Q: A ball of mass m = 0.275 kg swings in a vertical circular path on a string L= 0.850 m long as shown…

Q: A jet pilot takes his aircraft in a vertical loop , if the jet is moving at a speed of 1140 km/m ,…

A: Centripetal acceleration is a type of acceleration in uniform circular motion. It direction is…

Q: You are tasked with designing a roller coaster ride with a radius of curvature of 8.8 m. What…

A: For the sense of free fall, the acceleration of the passengers must be equal to the acceleration due…

Q: 3. A 2.0 x 103 - roller coaster with four passengers travels at a constant speed of 12 meters per…

Q: A .4 kg ball attached to the end of a horizontal cord is rotated in a circle of radius 1 m on a…

A: Mass of the ball, m = 0.4 kg Radius of the circle, r = 1 m Maximum tension, T = 90 N From…

Q: A 0.55-kg ball, attached to the end of a horizontal cord, is revolved in a circle of radius 1.3 m on…

A: The tension force of the cord is equal to the centripetal force of the ball,

Q: A stone, of mass m, is attached to a strong string and whirled in a vertical circle of radius r. At…

Q: In the figure, a car is driven at constant speed over a circular hill and then into a circular…

A: At the top of the hill normal force is zero. Thus,

Q: If there is a net force on a particle in uniform circular motion, why doesn’t the particle’s speed…

A: in uniform circular motion, the speed of the particle remains constant but the velocity is…

Q: If a carousel goes around once every 30 seconds, and has a radius of 5.7 meters, what is the…

Q: A pendulum of length L=3.0m is swinging back and forth with a bob of m=0.5kg. At the lowest point of…

Q: If a 1,000-kg car is traveling at 20.0 m/s when it reaches the bottom of a circular hill of radius…

A: Given:- Mass of the car is m=1000 kg. Speed of the car at the bottom of the hill is v=20.0 m/s.…

Q: A 0.80 kg ball , attached to the end of a horizontal cord , is rotated in a acircle of radius 2.0m…

A: Given information: The mass of the ball (m) = 0.8 kg The length of the string (l) = 2.0 m The…

Q: An asteroid in orbit about the sun has a linear speed of 4km/s when at a distance of closest…

A: mv1r1=mv2r2 v2=v1r1r2

Q: A cruise ship of mass, m, is navigating around a circular path of radius, r, at a constant velocity…

Q: A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom…

A: Given that: Mass of the stone=m Radius of the vertical circle=r Tension in the bottom point,…

Q: Consider a conical pendulum with a mass m = 10 kg on a string of length L = 80 m. The angle it makes…

A: Draw the free body diagram for the forces acting on the bob. As the pendulum in the vertical…

Q: A rock of mass 0.5 kg tied to a string is spinning around in a circle with a radius of 0.5 m, at a…

Q: A jet pilot takes his aircraft in a vertical loop , if the jet is moving at a speed of 1140 km/m ,…

Q: A 1200 kg car rounds a flat turn of radius 40 m at a speed 12 m/s. How much centripetal force (in N)…

A: Given that, The mass of a car, m = 1200 kg The radius of the road, r = 40 m Speed of the car, v = 12…

Q: The figure shows a version of the loop-the-loop trick for a small car. If the car is given an…

A: Given, Initial velocity = 4.0 m/s

Q: A stone of mass m is attached to a string and is rotated in .a vertical circle of radius r at bottom…

Q: In the figure, a car is driven at constant speed over a circular hill and then into a circular…

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

Q: A car travels on a road that, if viewed from the side, has a semicircular bump. When at the top of…

Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

A roller-coaster car has a mass of 500 kg when fully loaded with passengers. At the bottom of a circular dip of
radius 40 m (as shown in the figure) the car has a speed of 16 m/s. What is the magnitude of the force of the
track on the car at the bottom of the dip?
40 m
160 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

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

The mass of a roller-coaster car, including its passengers, is 500 kg. Its speed at the bottom of the track in Figure P6.16 is 19 m/s. The radius of this section of the track is r1 = 25 m. Find the force that a seat in the roller-coaster car exerts on a 50-kg passenger at the lowest point.
Starting from rest, a rectangular toy block with mass 300 g slides in 1.30 s all the way across a table 1.20 m in length that Zak has tilted at an angle of 42.0 to the horizontal. a. What is the magnitude of the acceleration of the toy block? b. What is the coefficient of kinetic friction between the block and the table? c. What are the magnitude and direction of the friction force acting on the block? d. What is the speed of the block when it is at the end of the table, having slid a distance of 1.20 m?
Question 5. A 21.3-g bullet is fired from a rifle. It takes 2.40 × 10-³ s for the bullet to travel the length of the barrel, and it exits the barrel with a speed of 730 m/s. Assuming that the acceleration of the bullet is constant, find the average net force exerted on the bullet. Ans: 6479 N IN Question 6. A planet has a mass of 707 is the 2000
The figure below is for a 6 kg box on a horizontal floor. Initially, you are pushing horizontally on the box and friction is opposing you. Then, you stop pushing the box. Use g = 10 m/s?. v(m/s) 8.0 6.0 4.0 2.0 1.0 2.0 3.0 t(s) Find the normal force acting on the box.
Spaceman Spiff needs to turn his 700 kg rocket and go in the opposite direction to escape the Zoks. He begins by is traveling through space at 3710 m/s when he reverses his course, going in the opposite direction with a speed of 5781 m/s. If his rocket thrusters push his craft with 87000 N of force, how long must he fire his rockets to make the change? 17 s
Fernanda is standing on a scale while riding an elevator. The elevator accelerates upward from rest to 1.8m/s1.8⁢m/s in 2.0 s. If the scale reads 720 N while the elevator is accelerating upwards, what is Fernanda’s mass?
A 30 kg object at the origin and initially at rest experiences a force given by F = 3N vt î + 2N tĵ. What is the object's speed and direction after 20 s?
A 5000 kg lorry gradually accelerates from rest. There is a box of mass 200 kg on the back of the lorry. The box is not tied to the lorry. The lorry accelerates from rest to a speed of 15 m/s over a certain distance. The maximum frictional force between the lorry and the box is 630 N. The maximum acceleration (in m/s^2) that the lorry can have without the box falling off is:
The speed of a 110-g toy car at the bottom of a vertical circular portion of the track is 8.25 m/s. If the radius of curvature of this portion of the track is 57.5 cm, what are the magnitude and direction of the force the track exerts on the car? (assume the car's path is in the clockwise direction.)?
A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 ms-1 to 3.5 ms-1 in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force?
Particles q1 = +8.0 x 10^-6, q2 = 3.5 x 10^-6, q3 -2.5 x 10^-6 are in a line. Particles q1 and q2 are separated by 0.10 m and particles q2 and q3 are separated by 0.15 m. What is the net force on particle q1?
Three 0.300-kg billiard balls are placed on a table at the corners of a right triangle as shown in the figure. The sides of the triangle are of lengths a = = 0.500 0.400 m, b = 0.300 m, and c = m. Calculate the magnitude of the resultant force, F. m2 F. F21 m1 b. m3 7.66 x 10^-11 N 5 x 10^-11 N 3.5 x 10^-11 N 4.35 x 10^-11 N