16 Scientists design a new particle accelerator in which protons with massm = 1.7 · 10-27(kg) follow a circular trajectory given by* = ccos(kt?)î + csin(kt²)ĵ where c = 5.0 (m) andk = 8.0 · 104s2are constants and t is the elapsed time.a) what is the radius of the circle?b) what is the proton’s speed at t = 3.0 [s]?c) what is the force on the proton at t = 3.0 [s]? Give your answer in component form.

(a) The radius of the circle can be determined as follows.…

Scientists design a new particle accelerator in which protons with mass m = 1.7 · 10-27 (kg) follow a circular trajectory given by ř = ccos(kt²)î + csin(kt²)ĵ where c = 5.0 (m) and k = 8.0 · 10ª () are constants and t is the elapsed time.

Scientists design a new particle accelerator in which protons with mass m = 1.7 · 10-27 (kg) follow a circular trajectory given by ř = ccos(kt²)î + csin(kt²)ĵ where c = 5.0 (m) and k = 8.0 · 10ª () are constants and t is the elapsed time.

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 76P: The CERN particle accelerator is circular with a circumference of 7.0 km. (a) What is the...

See similar textbooks

Related questions

Q: A 2310 kg2310 kg space station orbits Earth at an altitude of 4.73×105 m.4.73×105 m. Find the…

Q: During a solar eclipse, the moon (of mass 7.36 × 1022 kg), Earth (of mass 5.98 × 1024 kg), and Sun…

Q: Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A…

A: Two bodies attract each other by a force that is proportional to the product of the masses and…

Q: Two asteroids collide and stick together. The first asteroid has mass of 15×103kg and is initially…

A: Let the first asteroid is moving horizontally while the second asteroid is moving at an angle of…

Q: The drawing shows three particles far away from any other objects and located on a straight line.…

Q: s second law experiment, a plot between the 1/a and the added masses on the cart m, was plotted, the…

A: Since slope of 1a and mass m1 will gives the reciprocal of force applied so FF=18.7×10-5…

Q: A satellite with a mass of 200 kg fires its engines to increase velocity, thereby increasing the…

A: Satellite mass m = 200kg Radius r1=7.5×106m Radius r2=7.7×106m Mass of earth M =5.97×1024kg…

Q: Two manned satellites approaching one another, at a relative speed of 0.250 m/s, intending to dock.…

A: Given:Mass of the first satellite, m1= 4000 kgMass of the second satellite, m2 = 7500 kgRelative…

Q: Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A…

A: Given, mA=5 g d=17 cm

Q: What must the separation be between a 5.2 kg particle and a 2.7 kg particle in order for their…

Q: Newton's Law of Gravitation states that two bodies with masses M and N attract each other with a…

Q: The highest spot on Earth is Mt. Everest, which is 8850 m above sea level. If the radius of the…

A: Given thathighest spot on earth is Mt.Everest whichis at a height h=8850 m above sealevelradius of…

Q: A free neutron is unstable and spontaneously decays into a proton and an electron. The mass of the…

Q: 1. On the surface of Venus, which has a mass of 4.869×1024 kg, an object has a weight of 213 N and a…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: In the free fall experiment, using the data plotted in the figure and assuming that the mass m is…

A: Given: Mass→m Mass is initially at rest thus, u=0 & released from origin. From the graph of…

Q: Rank the magnitudes of the following gravitational forces from largest to smallest. (Use only ">" or…

Q: At their absolute closest, Jupiter (with mass 1.90∗1027 kg) and Saturn (with mass 5.68∗1026 kg) can…

Q: Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A…

A: Basic Details The net effect of the gravitational force on particle of mass mA is zero that is the…

Q: Two identical space probes, each of mass 2.00 x 104 kg are “parked” in outer space. If they are…

A: The given values with suitable variables are listed below. Here, M denotes the mass of each probe,…

Q: Four particles, each with mass m are arranged symmetrically about the origin on the x- axis. A fifth…

A: Express the relation for the gravitational force F on mass M by another mass m. Here, G is the…

Q: It is found that when a particular object with a mass of 0.41 kg is released from rest while…

A: Given data: Mass of the object, m = 0.41 kg, Coefficient of proportionality in the resistive force,…

Q: The gravitational constant G has the derived units: O N.m O N.m/kg O N.m*2/kg*2 O N.m/s*2 O o o O

Q: In the free fall experiment, using the data plotted in the figure and assuming that the mass m is…

A: Solution: Given that the object is fallen from the rest, hence] initial velocity u = 0 to find the…

Q: consider particle A of mass mA being somewhere between particle B of mass mB=2000 kg and particleS…

Q: Calculate the location of the center of mass of the earth-moon system (that is, find the distance of…

A: Center of Mass: The Center of mass is a location where we can assume that the whole body of an…

Q: 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth. A 30.0…

Q: The mass of the Earth is 5.98 x 1024 kg, and the mass of the Moon is 7.36 x 1022 kg. The distance…

A: Given data: The mass of the Earth is ME=5.98×1024 kg. The mass of the Moon is MM=7.36×1022 kg. The…

Q: Gm,m, 2 r Two masses, m1 and m2 are separated by a distance, r. The force of attraction between the…

Q: CES Chapter 13, Problem 010 GO Two dimensions. In the figure, three point particles are fixed in…

A: For the net gravitational force on particle A to be zero , the sum of all forces acting on A due to…

Q: The gravitational force between two objects with masses 4kg and 28kg separated by a distance 6m is…

Q: What must the separation be between a 6.8 kg particle and a 6.7 kg particle for their gravitational…

A: Given data: Two particles m1 = 6.8 kg and m2 = 6.7 kg The gravitational force between particles F =…

Q: The gravitational force between two objects with masses 14kg and 23kg separated by a distance 7m is…

Q: The proton is traveling at a constant speed of 5.5 × 105 m/s, and the radius of the kissing circle…

A: Given data: Speed of proton, v=5.50×105 m/s Radius of the circle, r=0.02 m Mass of the proton,…

Q: The weight of bodies may change somewhat from one location to another as a result of the variation…

A: At sea level, W=mg=ma-bz=80 kg9.807 m/s2-3.32×10-6 s-20 m=784.56 N

Q: Two objects, m1 and m2 are gravitationally attracted to one another. However, m1 is 500 times more…

Q: A heavier mass m, and a lighter mass m, are 17.5 cm apart and experience a gravitational force of…

Q: An astronaut of mass m experiences a weight of mg upon the surface of the moor of radius R. Identify…

Q: The mass of Jupiter is 1.90 x 1027 kg, and the mass of Uranus is 8.68 x 1025 kg. The average…

A: Given data: Mass of Jupiter (m1) = 1.90 × 1027 kg Position of Jupiter (x1) = 0 km Mass of Uranus…

Q: The gravitational force between two objects with masses 14kg and 26kg separated by a distance 9m is…

A: In this question we have to compute the gravitational force between two objects.

Q: three masses are located in the vertices of an equilateral triangle. calculate the magnitude and…

Q: Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from…

Q: x + √x √xx X Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining The…

A: Please post the remaining questions separately!

Q: At their closest approach, Venus and Earth are 4.20 x 10 m apart. The mass of Venus is 4.87 x 10 24…

A: Given, Mass of Venus, MV=4.87×1024 kg, Mass of Earth, ME=5.97×1024 kg, distance, d=4.20×1010 m, and…

Q: The moon orbits the earth along a path of radius 3.84 x 108 m , a spaceship of mass 30000 Kg orbits…

Question

Scientists design a new particle accelerator in which protons with mass
m = 1.7 · 10-27
(kg) follow a circular trajectory given by
* = ccos(kt?)î + csin(kt²)ĵ where c = 5.0 (m) and
k = 8.0 · 104
s2
are constants and t is the elapsed time.
a) what is the radius of the circle?
b) what is the proton’s speed at t = 3.0 [s]?
c) what is the force on the proton at t = 3.0 [s]? Give your answer in component form.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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 distance to the Sun is 93 miIlion miles. What is the distance to the Sun in the appropriate SI units?
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2 103 kg/m3) in Betatron units.
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
The arc length formula says the length sof arc subtended by angle in a circle of radius r is given by the equation s=r . What are the dimensions of (a) s, (b) r , and (c) ?
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
Roughly how many heartbeats are there in a lifetime?
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c) tan . Figure P1.49
Explain why a vector cannot have a component greater than its own magnitude.
Roughly how many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human?
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?