**Physics in Everyday Life: Analyzing Circular Motion at Field Day**Your little sister, Nicole, is excited about participating in Field Day at Clubview Elementary, and since you are a student at Columbus State, you take a break between classes to go watch her class participate for a bit.Nicole swings a ball on a string at constant speed in a circle that has a diameter of 1.9 m. (The kid with the biggest diameter circle wins, so you're cheering her on!) Suddenly, you remember the physics you were studying, and wonder: how much work is being done on the ball by the 10 N tension force in the string during one complete revolution of the ball?---**Explaining the Physics:**When analyzing problems involving circular motion, it's important to remember that work is defined as the force applied in the direction of the displacement times the distance moved. However, in the case of circular motion, the force (tension in the string) is always perpendicular to the displacement of the ball at any point along its path.Since the force and displacement are perpendicular, no work is done by the tension force over one complete revolution. Let's break this down:1. **Circular Path**: Nicole swings the ball around in a circle, which means that despite the ball traveling along the path, it returns to its starting point after one complete revolution.2. **Force and Displacement Relationship**: The tension force in the string is directed towards the center of the circle (centripetal force), while the ball’s displacement at any instant is tangential to the circle. As a result, these two vectors are perpendicular.3. **Work Calculation**: Work done (W) by the force is calculated as: \[ W = \mathbf{F} \cdot \mathbf{d} \cdot \cos(\theta) \] where \( \mathbf{F} \) is the force, \( \mathbf{d} \) is the displacement, and \( \theta \) is the angle between the force and displacement vectors. In this case, \( \theta = 90^{\circ} \), and \( \cos(90^{\circ}) = 0 \).Therefore, \( W = 0 \).

Name: **Physics in Everyday Life: Analyzing Circular Motion at Field Day**Y
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: **Physics in Everyday Life: Analyzing Circular Motion at Field Day**Your little sister, Nicole, is excited about participating in Field Day at Clubview Elementary, and since you are a student at Columbus State, you take a break between classes to go

Answered: Image /qna-images/answer/4fb35c80-660c-40e8-a2bf-95b10f1ebf62.jpg

Science

Physics

Your little sister, Nicole, is excited about participating in Field Day at Clubview Elementary, and since you are a student at Columbus State, you take a break between classes to go watch her class participate for a bit. Nicole swings a ball on a string at constant speed in a circle that has a diameter of 1.9 m. (The kid with the biggest diameter circle wins, so you're cheering her on!) Suddenly, you remember the physics you were studying, and wonder: how much work is being done on the ball by the 10 N tension force in the string during one complete revolution of the ball?

Your little sister, Nicole, is excited about participating in Field Day at Clubview Elementary, and since you are a student at Columbus State, you take a break between classes to go watch her class participate for a bit. Nicole swings a ball on a string at constant speed in a circle that has a diameter of 1.9 m. (The kid with the biggest diameter circle wins, so you're cheering her on!) Suddenly, you remember the physics you were studying, and wonder: how much work is being done on the ball by the 10 N tension force in the string during one complete revolution of the ball?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 10PQ

See similar textbooks

Similar questions

A girl attaches a rock to a string, which she then swings counter-clockwise ina horizontal circle. The string breaks at point Pin the figure, which shows a bird's- eye view (as seen from above). Which path (A or B) wili the rock follow? Side view Top view Path A Path B Justify your answer
Please do help me with this please. It is a physics question. Please, i promise to give a perfect feedback to you. *A bicycle start’s its motion from rest and uniformly accelerates at a rate of 3.4 m/s2 for 9.14 seconds in a straight line. How far did the bicycle travel during that 9.14 seconds? *A skater moves with 13.57 m/s in a circle of radius 35.0 m. The ice exerts a centripetal force of 336.09 N. What is the mass of the skater? Please. I promise to give a good feedback, please.
In the swing carousel amusement park ride, riders sit in chairs that are attached by a chain to a large rotating drum as shown in (Figure 1). As the carousel turns, the riders move in a large circle with the chains tilted out from the vertical. In one such carousel, the riders move in a 15-m-radius circle and take 8.3 s to complete one revolution. What is the angle of the chains, as measured from the vertical?
A boy is whirling a stone around his head by means of a string. The string makes one complete revolution every second; and the tension in the string is FT. The boy then speeds up the stone, keeping the radius of the circle unchanged, so that the string makes two complete revolutions every second. What happens to the tension in the sting? * aThe tension reduces to half of its original value. b. the tension is unchanged. c.The tension increases to twice its original value. d.The tension increases to four times its original value.
Remaining Time: 2 hours, 16 minutes, 10 seconds. * Question Completion Status: A Moving to another question will save this response. Question 1 The result of cross product of two vectors is: a. not a vector b.cross product does not exist c. a vector quantity d. a scalar quantity A Moving to another question will save this response.
A Moving to another question will save this response. Quèstion 1 "Any object moving in a circle undergoes centripetal acceleration, which changes the direction of the velocity vector." True False Moving to another question will save this response. TOSHIBA
Projectile motion A projectile is launched from the origin, which is a point 50 ft from a 30-ft vertical cliff (see figure). It is launched at a speed of 50√2 ft/s at an angle of 45° to the horizontal. Assume the ground is horizontal on top of the cliff and that only the gravitational force affects the motion of the object.a. Give the coordinates of the landing spot of the projectile on the top of the cliff.b. What is the maximum height reached by the projectile?c. What is the time of flight?d. Write the integral that gives the length of the trajectory.e. Approximate the length of the trajectory.f. What is the range of launch angles needed to clear the edge of the cliff?
Jae throws a 0,350kg ball so that it is traveling at 7.50m/s toward a wall, approaching the wall at an angle of 35.0⁰ as shown in the figure to the right. After hitting the wall, the speed of the ball is still 7.50m/s but its direction has changed and it is now traveling at an angle of 35.0° away from the wall as shown to the right. a) Sketch on your paper a figure like the one shown to the right and show the vectors for the momentum before impact, PB, the momentum after impact, PA, and use them to find Ap, the change in momentum for the ball. Clearly label each vector. b) Calculate the sign and magnitude of Apx, the change in momentum in the x direction. c) Calculate the sign and magnitude of Apy the change in momentum in the y direction. d) If the collision lasts for 0.150 seconds, find the magnitude of the average force on the ball during the collision. What is the direction of the average force on the ball during the collision? Answer this by showing an arrow and label it as Fave-…
Question 7 A roller coaster car moves on a track with one section that is a vertical circular loop of radius R. When the car is at the top of the loop it just maintains contact with the track. What is the car's velocity at this point? Rg 09/20 Zero R ORg
2. A conical pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob travels in a horizontal circle at a constant speed. The string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, M, and/or g. a. Draw the free body diagram of forces acting on the pendulum bob. b. Use Newton's 2nd law and circular motion dynamics to determine the tension of the string. c. What is the speed of the bob?
A penny that is placed at the outer edge of a disk with a radius of 0.150 m rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.80 s. A) Draw a free body diagram B) Write equations for Newton’s 2nd law in the radial and Y dimensions. C) Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk.
Newton's 2nd Law Problems (with Kinematics) 1. A hockey puck with mass 0.160kg is at rest at the origin on the horizontal, frictionless surface of the rink. At t = 0, a player applies a force of 0.250N to the puck parallel to the surface. He continues to apply the force until t = 2.00s. What are the position and speed of the puck at t = 2.00?