A student conducted several tests on circular motion. In the tests, mass A was swung on a circularpath. Mass B provided the necessary force to balance mass A, resulting in a known radius as shownin the diagram.radiusmass Amass BThe student varied the masses and radius for each test. They measured the time for mass A to make 10rotations three times for each mass and radius, then averaged the three results to produce the table shown.Time for 10rotations (s)TestMass of A (g)Mass of B (g)Radius of circle (m)50500.12510250500.20013350500.25014450500.3751750750.12586.501000.12577502000.1258125500.125169250500.1252210750500.12527(a)Outline THREE different experiments conducted using the information from the table.(b)For Tests 5, 6 and 7, identify the dependent, independent and TWO controlled variables.(c)The student repeated all of the tests with 20 rotations.Would the experiment that used 10 rotations or the experiment that used 20 rotationsbe more reliable? Justify your answer.(d)Assuming there are no frictional forces, derive an equation for the radius of mass Ain terms of v and g. Justify your answer.

A student conducted several tests on circular motion. In the tests, mass A was swung on a circular path. Mass B provided the necessary force to balance mass A, resulting in a known radius as shown in the diagram. radius mass A mass B

A student conducted several tests on circular motion. In the tests, mass A was swung on a circular path. Mass B provided the necessary force to balance mass A, resulting in a known radius as shown in the diagram. radius mass A mass B

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 91CP: between points in a plane do not change when a coordinate system is rotated In other words, the...

See similar textbooks

Related questions

Q: A stone which tied to a rope is rotated in a circular path with a constant speed V in clockwise…

Q: 500 g object is tied to the end of a cord and whirled in a horizontal circle of radius 3.2 m at 5…

Q: Consider two spherical raindrops. The first raindrop is small with radius R1, and the second is big…

Q: 76. (a) The x-component of Jay's velocity (b) The angle Jay's position vector makes with the x axis…

A: A object moving in a circular motion has components of velocity in x- and y- direction. The only net…

Q: Consider an object in uniform circular motion (constant speed along a circular path). Which of the…

A: When a body is in uniform circular motion, it is accelerating because it is constantly changing its…

Q: You spin a 0.1 kg rock in a vertical circle of radius 0.9 meters. The rock's linear speed is 5.1…

Q: A cyclist competes in a one-lap race around a flat, circular course of radius 140 m. Starting from…

Q: A yo-yo unwinds from a string as it falls downward. If the tension force on the yo-yo and the radius…

Q: A bucket of mass 1.90 kg is whirled in a vertical circle of radius 1.30 m . At the lowest point of…

A: Given, Mass of bucket m=1.90 kg Radius of vertical circle r=1.30 m At the lowest point, tension in…

Q: A ball is released from rest and rolls without sliding on an inclinedTamp, for this to be possible…

A: A ball is rolling without slipping over the ramp. It means that the ball have both rotational and…

Q: A bucket of mass 2.00 kg is whirled in a vertical circle of radius 1.10 m. At the lowest point of…

A: Givenmass of bucket m=2.00 kgRadius of vertical circle R=1.10 mTension at the lowest point T1=25.0…

Q: Need help with knowing how to solve practice exam questions so I can pass my exam next week. Plz…

Q: If Jeno's wooden ball has mass 0.25 kg and tied to a rope executes uniform circular motion with a…

Q: A car of mass M = 800 kg traveling at 65.0 km/hour enters a banked turn covered with ice. The road…

A: Write the formula for the angle of banking at a curved turn.

Q: Which of the following changes when a body performs uniform circular motion? A) Mass B) Momentum C)…

A: In the uniform circular motion, the body follows a circular or curved path with constant speed. The…

Q: Which of the following statements about uniform circular motion ARE correct? The speed does not…

A: Uniform circular motion:-When the particle moves in the circle with a uniform speed ,is known as…

Q: A toy submarine of mass m = 0.830 kg moves around a submerged circular track of radius R = 1.97 m.…

A: The speed of the submarine at any time t is given by the relation v(t) = FC(1 - e-Ctm)…

Q: A car of mass 1,925 kg travels along a circular road of radius 90.0 m at 15.0 m/s. (a) Calculate the…

A: Given data: Mass (m) = 1925 kg Radius (r) = 90.0 m Speed (v) = 15.0 m/s Required: Centripetal…

Q: You spin a 0.2 kg rock in a horizontal circle of radius 1 meters. The rock circles at a rate of 2.9…

A: Given data: Mass (m) = 0.2 kg Radius (r) = 1 m Angular velocity (ω) = 2.9 rev/s Required: Tension…

Q: A potato attached to a string is spun so that it is in uniform circular motion. D. Use the letters…

A: Direction of centripetal force and acceleration is radially inward towards center. Centripetal force…

Q: A mass is tied to a string and whirled in a vertical circle. Categorize the kinematic properties…

A: For the given question, following results will be obtained. Linear acceleration (scalar): it will…

Q: Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure…

A: a) The required tension force b) The required tension force,

Q: This quantity is equal to rω.* A. linear speed B.angular displacement C. centripetal acceleration D.…

Q: Two identical pucks of mass m rotate together on a frictionless, horizontal table. Puck 1 is…

Q: A bucket of mass 2.50 kg is whirled in a vertical circle of radius 1.10 m . At the lowest point of…

A: a)At the bottom, the required speed is,

Q: A highway curve of radius 440 m is designed for traffic moving at a speed of 73.0 km/hr. Part A What…

Q: A bicyclist travels in a circle of radius 25.0 m at a constant speed of 9.00 m/s.The bicycle–rider…

Q: An airplane travels at 820km/h as it makes a horizontal circular turn of radius 15.0 km. a. Draw a…

A: speed of airplane (v) = 820 km/hr radius (r) = 15 km = 15000 m

Q: An engineer has to design a banked curve road with an unknown radius R at an angle B = 20 2° as…

Q: A car of mass 1,425 kg travels along a circular road of radius 75.0 m at 17.0 m/s. (a) Calculate the…

A: (a) Calculate the magnitude of the centripetal acceleration of the car. ac=v2r Here, v is the…

Q: 3. Mass 2 is tied to a rope as shown and starts from rest with a force of 80N acting at the other…

A: According to Newton's second law F = ma Moment of inertia of pulley (ring) I = mr2 = 3 (.18)2 =…

Q: A wind turbine blade with a radius of 48 m and a mass of 850 kg is rotating at 0.75 rev/s. Assuming…

Q: Draw Free Body Diagram of the car when it is at the bottom of the circle. b What is the magnitude…

A: Given data: The mass of the toy car is: m=250 g=0.250 kg The radius of the circular track is: r=40…

Q: An engineer must design a curved exit ramp for a highway In such a way that a car, exiting at the…

A: At turning points, the circular motion of the car will be on the plane parallel to the horizontal…

Q: The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose this antelope runs…

Q: The linear velocity arising from the rotation of the Earth around its axis by a man standing at…

A: The expression for the required linear velocity,

Q: 1 A ball of mass 0.297 kg is being suspended by two wires as shown in the figure. The setup rotates…

A: Mass of the ball (m) is 0.297 kg Tension in the strings are equal

Q: A ball of mass M 2.9kg is moving in a circle of radius R = 2.46m at constant speed. The ball takes t…

Q: string but maintained the rate at which the ball rotated. Which of the following factors remained…

A: During a magic trick, a magician twirled a ball on a string horizontally at a constant rate. He then…

Q: A toy submarine of mass m = 0.730 kg moves around a submerged circular track of radius R = 1.77 m.…

Q: Consider a car moving on a circular track with constant speed. Which of the following statements is…

A: Following are the incorrect options for the given statement: c) the vehicle has no acceleration e)…

Q: ou are tasked to separate an unknown substance that contains particles that can only be separated at…

A: A desktop centrifuge is a small centrifuge that is used in labs and clinics. Its speed ranges…

Q: A block with mass m1 m1=2.30 kg rests on a frictionless table. It is connected with a light string…

A: Recall Newton's second law F=ma Refer the FBD and newton's second law equations below.

Q: A sample of blood is placed in a centrifuge of radius 13.0 cm. The mass of a red blood cell is 3.0 ✕…

A: The given data are: r=13 cm=0.13 mm=3×10-16 kgF=4×10-11 N Here, r denotes the radius, m denotes the…

Q: A ball tied to the end of a cable is spun in a circle with a radius 0.32 m making 3 revolutions…

Q: Column A Column B (Meaning/Definition) 1. A measure of how angular velocity changes over time. 2.…

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 student conducted several tests on circular motion. In the tests, mass A was swung on a circular
path. Mass B provided the necessary force to balance mass A, resulting in a known radius as shown
in the diagram.
radius
mass A
mass B
The student varied the masses and radius for each test. They measured the time for mass A to make 10
rotations three times for each mass and radius, then averaged the three results to produce the table shown.
Time for 10
rotations (s)
Test
Mass of A (g)
Mass of B (g)
Radius of circle (m)
50
50
0.125
10
2
50
50
0.200
13
3
50
50
0.250
14
4
50
50
0.375
17
50
75
0.125
8
6.
50
100
0.125
7
7
50
200
0.125
8
125
50
0.125
16
9
250
50
0.125
22
10
750
50
0.125
27
(a)
Outline THREE different experiments conducted using the information from the table.
(b)
For Tests 5, 6 and 7, identify the dependent, independent and TWO controlled variables.
(c)
The student repeated all of the tests with 20 rotations.
Would the experiment that used 10 rotations or the experiment that used 20 rotations
be more reliable? Justify your answer.
(d)
Assuming there are no frictional forces, derive an equation for the radius of mass A
in terms of v and g. Justify your answer.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 4 images

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 force of 200 N has a rectangular component of 50 N acting along a line making an angle of 10° counterciockwise from the positive x-axis. What angle does the 200N force make with the positive x-axis? 2.
Calculate for the % error, if you were asked by your professor to weigh 279.65g but you got the reading below. Type your final answer with the correct number of significant figures. 100 200 300 400 500
The formula s=16ft^2 is used to approximate the distance s, in feet, that an object falls freely from rest in t seconds. The height of a building is 1113 feet. How long would it take for an object to fall from the top? ^ indicates it's squared please ensure you factor. This as squared when solving thanks
Newton's law of universal gravitation is represented by F=GMm/r2 Here F is the magnitude of the gravitational force exerted byone small object on another, M and m are the masses of theobjects, and r is a distance. Force has the SI units kg.m/s?What are the SI units of the proportionality constant G?
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
Check Your Understanding Light navels about 9 Pm in a year. Given that a year is about 3107s , what is the speed of light in meters per second?
between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .
A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
The wheel of an odometer has a radius of 30.00 cm. It was used to measure the distance between two stations A and B. If the odometer counter reads 226. How far is the distance from A to B? Express your answer in meters.
A force of 33 N ask on a 6.8 kg mass. Assuming this is the only force acting on the mass, what is the acceleration of the mass? Answer and m/s squared
I don'n understand why the units are so off and how you get to seconds if you have kg*m/J
The coefficient of friction, u, can be determined in an experiment by measuring the force F required to move a mass m. When F is measured and m is known, the coefficient of friction can be calculated by: H- F/(mg) -9.81 m/s). friction Results from measuring F in six tests are given in the table below. Determine the coefficient of friction in cach test, and the average from all tests. Test Mass m (kg) Force F(N) 2 4. 3 4. 2 10 20 50 12.5 23.5 30 61 117 294