A small ball with mass 0.50 kg moves in a vertical circle on the inside of a frictionless circular track with radius of curvature 0.80 m, as shown in the sketch. What minimum speed must the ball have at point A, at the top of its circular path, in order not to lose contact with track at that point?

A small ball with mass 0.50 kg moves in a vertical circle on the inside of a frictionless circular track with radius of curvature 0.80 m, as shown in the sketch. What minimum speed must the ball have at point A, at the top of its circular path, in order not to lose contact with track at that point?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 6OQ: A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with...

See similar textbooks

Related questions

Q: 500 V is applied across two parallel plates separated by 4mm. What is the electric field? What force...

Q: A 169.5 lb hiker is able to ascend a 1,980.0 ft high slope in 1 hour and 45 minutes. (a) How much wo...

A: Given : F = 169.5 lb d = 1980 ft t = 1 hour 45 minutes = 6300 seconds

Q: Four charges are placed on the corners of a square 0.5 m to a side (Figure 1.18). Given Q 33 µC, Q =...

A: As per our guidelines we will solve first three subparts for you. To get remaining subparts solved p...

Q: Three charges are placed on three corners of a square, as shown in the figure. Each side of the squa...

A: Given each side of the square a=24cm Charge 1 q1 =4nC Charge 2 q2 = - 6.5nC Charge 3 q3= - 3.5nC We ...

Q: What are the magnitude and direction of the electric field at the point mid way between A.) Q1 and q...

Q: A .22 rifle bullet, traveling at 350 m/s, strikes a large tree, which penetrates to a depth of 0.130...

A: Given: The initial speed of the bullet is 350 m/s. The mass of the bullet is 1.8 g. The stopping dis...

Q: The magnitude of the electric force that a constant electric field of strength 264 N/C exerts on poi...

A: Electric force due to constant Electric field is defined as the product of Charge of particle and St...

Q: What do you call a mass point and it possesses a mass but has no size?

A: Point is generally referred to zero dimension, i. e., size zero.

Q: a) Sketch the standing wave patterns on a string for the four longest wavelengths for both sets of e...

Q: Q2/ An object of mass 15 kg is moving with a uniform velocity of 4 ms'. What is the kinetic energy p...

Q: 9. Use your understanding of electric force and electric field to fill in the following table. Charg...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Mike is participating in 2022 supercross indoor dirt bike racing. One of the tracks for this event w...

Q: 1. Figure P-313 represents the concurrent force system acting at a joint of a bridge truss. Determin...

A: The concurrent force system is shown below.

Q: Problem Set 6 (Rotational Kinetic Energy) A metal block with mass m = 7.50 kg is connected by a cord...

A: Given data: The mass of block is mb=7.5 kg. The mass of pulley is mp=1.25 kg. The coefficient of fr...

Q: 1. During the Apollo missions, astronauts landed on the moon and returned to Earth with a massive ha...

Q: Part A A loudspeaker at the origin emits a 100 Hz tone on a day when the speed of sound is 340 m/s. ...

Q: Isaac Asimov proposed a unit of time base on the highest known speed and the smallest measurable dis...

A: The answer is below

Q: 2. What is the wavelength of the following figure. Answer in 4 sig. fig. (include correct unit) * 27...

Q: The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. ...

Q: Write the following as full (decimal) numbers without prefixes on the units: (a) 286.6 mm (b) 85uV (...

A: SI prefixes helpful for to form decimal multiples and submultiples of SI units. For example: 0.001 K...

Q: Two point charges, +4.00 μC and -6.50 μC, are separated by 2.60 m. What is the electric potential mi...

A: Given data: Two point charges q1 = +4.00 μC = +4.00×10-6 C q2 = -6.50 μC = -6.50×10-6 C Distance be...

Q: A car starts from rest and foes down a slope with constant acceleration of 5m/s. After 5s, the car r...

A: Apply the first kinematic equation. Here, v represents the final velocity, u represents the initial...

Q: Show that the speed of a mass m with positive charge q when accelerated from rest across a potential...

Q: How many years are there in 1.00 second? Assume an ordinary year. Consider 3 significant figures.

A: In this question we have to find the number of years in 1 second. Please give positive feedback if t...

Q: Which of the following is not a vector? A electric force B electric field c) electric charge D) elec...

A: Required: Quantity that is not a vector

Q: A copper wire has a resistance of 15.0 Ω at a temperature of 14° C. After a current passes through t...

A: The given data: The resistance of the wire, R1 = 15.0 Ω The temperature of the wire, T0 = 14° C = 1...

Q: A large cannon is fired from ground level over level ground at an angle of 30 degrees above the hori...

Q: Conversation of Units Problem Solving 1. The Tellusian club is preparing for the upcoming event, the...

A: This question is based on Units and Measurement topic. We need to use basic maths to solve the probl...

Q: Suppose that the electric potential outside a living cell is higher than that inside the cell by 0.1...

A: work done to move a charge W =q∆V where q = charge of particle ∆V = change in potential giv...

Q: Initially, the distance between two charged objects is 10 cm. When the two objects are moved, the fo...

Q: CR= I meter. Calculau the electrie fie at the center d a chare with G= 10C Tonm -10 ring with G10°c

A: GivenQ=10-10 CRadius of ring ,R=1 m

Q: Wat is the distance the motorcycle covered in its 300-second travel if the speed upon recording is 2...

Q: Find the magnitude and direction of the resultant of the two forces shown knowing that P = 300 N and...

A: Write the equation of force for P P = 300N ( -cos30sin15i + sin30j + cos30cos15k ) P = -67.24i + 150...

Q: An electron and proton are at rest. They are being separated by a small distance of 0.05 nanometers....

A: Given data: An electron and a proton at rest Distance (d) = 0.05 nm = 0.05×10-9 m Required: The di...

Q: 7. [#364b] Ball on a string (part 2) Using the information from question #364a above: b) At what con...

Q: If you increase your push, what happens to FN?

A: We know that about the normal force and the static friction force. When an object sitting on a plan...

Q: You launch a projectile at an initial speed of 63.5 m/s from the ground. After 8.40 seconds of fligh...

A: Given data: Initial velocity (u) = 63.5 m/s Flight time (T) = 8.40 s Required: Angle (θ) with the h...

Q: 2. A force system is shown below. a. Determine the magnitude of the resultant of the given forces. b...

A: a) Calculate the resultant force along the horizontal direction. Calculate the resultant force alon...

Q: T31. (A) Find the peak magnetic field in an electromagnetic wave whose peak electric field is Emax. ...

Q: Case 1. When in contact with a highly negative material Case 2. When in contact with a highly positi...

Q: Find the expression for the moment of inertia of a uniform, solid disk of mass M and radius R, rotat...

Q: which material (aluminum , copper , lead) increase the temperature of water by the greatest amount o...

Q: Over a short interval near timet = 0, the coordinate of an automobile in meters is give by a (t) = 2...

A: Velocity is the time rate of change of position. v=dxdt. The acceleration is the time rate of change...

Q: For numbers 10,11 & 12 Point A (1,0, -1) Point B (-2,0,1) Point C (2, -1,0) 10. Given the following ...

A: Given: A ( 1,0,-1)B (-2,0,1)C (2,-1,0) force along AB = 500 N force along AC = 200 N

Q: You start out by driving 173 miles south in 2 hours and 33 minutes, and then you stop and park for a...

Q: A basketball referee tosses the ball straight up for the starting tip-off. at what velocity must a b...

A: The problem is based on basic kinematics equation. To solve the given problem we will write down the...

Q: From the edge of a cliff, a 0.66 kg projectile is launched with an initial kinetic energy of 1640 J....

Q: QI/ Define the following terms 1. Physics 2. Mass 3. Density 4. Power 5. Law of Conservation of Ener...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: R=200 Ry=300 Ry 500 10V Re=200 2. a. Rtotal b. I1 = [ ]A c. I3 = [ d. I4 = [ ] A e. V2 = [ f. V3 = [...

Q: 6. Draw the complete free-body diagram (FBD) of each of the bodies designated in the statements. The...

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for ...

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 small ball with mass 0.50 kg moves in a vertical circle on the
inside of a frictionless circular track with radius of curvature 0.80
m, as shown in the sketch. What minimum speed must the ball
have at point A, at the top of its circular path, in order not to lose
contact with track at that point?

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

A skier weighing 600 N goes over a frictionless circular hill of radius R 20 m ). Assume that the effects of air resistance on the skier are negligible. As she comes up the hill, her speed is 8.0 m/s at point B, at angle u= 20. (a) What is her speed at the hilltop (point A) if she coasts without using her poles? (b) What minimum speed can she have at B and still coast to the hilltop? (c) Do the answers to these two questions increase, decrease, or remain the same if the skier weighs 700 N instead of 600 N?
A Purple Block about (mA = 24 kg) glides along a rail, it starts at point 1 with a height H1 = 5.40 m). (Entire rail is frictionless) and before entering a loop the (radius R = 1.80 m). Three more points 2, 3, and 4 are all marked on the sides as well as on the top of these loops. The purple block then comes out of the loop while travelling at a speed of 12 m/s. Has a t-bone collision with the blue block which is mB = 8 kg with a speed of 6 m/s before the collision happens. After the accident, purple block's speed is 5.30 m/s and is still moving in the same direction it was before the collision. (see picture) A)What kind of collision is this? For the purple block: (parts a-b)a.) speed of block have at point 1?v1 = _____ m/sb.) At point 2, speed of the block: v2 = _____ m/sthe force acting on the block not to closely to the circle:______ N, with the motion, against the motion, it is zero force acting on the block, radial to the circle:______ N, toward the center of the loop, away…
A toy car with a mass of 0.150kg goes through the top of a loop the loop with a radius of 0.300m while experiencing a downward normal force with a magnitude of 7.35N. What is the speed of the toy car in meters per second as it goes through the top of the loop?
A 2.8 kg block slides over the smooth, icy hill shown in Fig. . The top of the hill is horizontal and 70 m higher than its base. What minimum speed must the block have at the base of the 70 m hill to pass over the pit at the far (righthand) side of that hill?
Can you please provide a complete solution set to this problem? A rollercoaster car is traveling on a track and approaching a loopped portion of track. What is the minimum speed needed at the bottom of the loop to clear the loop? The diameter is 15 meters.
A bead is sliding frictionlessly in the orbit in the figure. If the bead is released from the height h = 4R, what will its velocity at point A be? (gravitational acceleration g)
A roller-coaster travels over a vertical, circular loop of radius R = 27.8 m. If it travels without friction along the track, what is the minimum speed required at the bottom of the loop such that the roller-coaster remains in contact with the track at the top of the loop?
The mass of the ball is 0.10 kg and the string is 45 cm long. If the tension in the string when the ball is at the top of the circle is 5.75 N, what is the speed of the rock at that location?
An uncrewed mission to the nearest star, Proxima Centauri, is launched from the Earth's surface as a projectile with an initial speed of 43.1 km/s, just enough for the spacecraft to escape the Earth's gravity and leave the solar system. Ignoring air resistance and the Earth's rotation, what is the speed of the spacecraft when it is more than halfway to the star? Assume we are ignoring the effect of the Sun on the spacecraft.
A block of mass 2 kg begins with velocity 2.3 m/s at the top of a curved track at a height h= 9.9 m and travels around a circular loop of radius R. There is negligible friction between the block and the track between points A and D, but the coefficient of kinetic friction on the horizontal surface between points D and E is u=0.4. If the block stops at point E, what is the distance (in m) between points D and E? A 2R В
a 1.0 kg ball on the end of a string is whirled at a constant speed of 2.0 meters per second in a horizontal circle with a radius of 1.5 meters what is the work done by the centripetecal force during one revolution?
A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? If the car starts at height h= 4.50 R and the radius is R1 = 17.0 m, compute the speed of the passengers when the car is at point C, which is at the end of a horizontal diameter. Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.