### Problem StatementBall B, moving in the positive direction of an x-axis at speed \( v \), collides with stationary ball A at the origin. A and B have different masses. After the collision, B moves in the negative direction of the y-axis at speed \( v/3 \). In what direction does A move, as an angle with respect to the x-axis?### ApproachTo solve this problem, we'll use the principles of conservation of momentum. Since there's no external force acting on the system, the total momentum before and after the collision must be the same.1. **Initial Momentum:** - Ball B: Momentum in x-direction = \( m_B \cdot v \) - Ball A: Momentum = 0 (since it's stationary) Total Initial Momentum = \( m_B \cdot v \)2. **Final Momentum:** - Ball B: - Momentum in x-direction = 0 (since it moves along y-axis) - Momentum in y-direction = \( m_B \cdot (-v/3) \) - Ball A: - Let \( v_A \) be the final speed of Ball A and \(\theta\) be the angle with respect to the x-axis. - Momentum in x-direction = \( m_A \cdot v_A \cdot \cos(\theta) \) - Momentum in y-direction = \( m_A \cdot v_A \cdot \sin(\theta) \) 3. **Conservation Equations:** a. **In x-direction:** \[ m_B \cdot v = m_A \cdot v_A \cdot \cos(\theta) \] b. **In y-direction:** \[ 0 = m_A \cdot v_A \cdot \sin(\theta) + m_B \cdot \left(-v/3\right) \]### Solving the EquationsFrom the above equations, you can determine both \(\theta\) and \(v_A\), using algebraic manipulation and substitution.### ConclusionBy solving these equations, you will find the angle \(\theta\) that Ball A makes with the x-axis, indicating the direction of its movement post-collision.**Note:** Please ensure all steps are clearly shown with any necessary assumptions or approximations highlighted.### Reminder

There are two types of quantities, namely Scalar and Vector. Scalar quantity only needs one value…

Answered: Ball B, moving in the positive…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-45 m/s) i and a second piece, also of mass m, moves with velocity (-45 m/s) Ĵ. The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity of the third piece? (a) Number i (b) Number Units Units
In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.36 kg) and embeds itself in block 2 (mass 2.03 kg). The blocks end up with speeds v₁ = 0.680 m/s and v₂ = 1.50 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. 1 (1) (2) Frictionless
A typical raindrop is much more massive than a mosquito and much faster than a mosquito flies. How does a mosquito survive the impact? Recent research has found that the collision of a falling raindrop with a mosquito is a perfectly inelastic collision. That is, the mosquito is “swept up” by the raindrop and ends up traveling along with the raindrop. Once the relative speed between the mosquito and the raindrop is zero, the mosquito is able to detach itself from the drop and fly away. a. A hovering mosquito is hit by a raindrop that is 40 times as massive and falling at 8.2 m/s, a typical raindrop speed. How fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic?b. Because a raindrop is “soft” and deformable, the collision duration is a relatively long 8.0 ms. What is the mosquito’s average acceleration, in g’s, during the collision? The peak acceleration is roughly twice the value you found, but the mosquito’s rigid…
A projectile proton with a speed of 650 m/s collides elastically with a target proton initially at rest. The two protons then move along perpendicular paths, with the projectile path at 57° from the original direction. After the collision, what are the speeds of (a) the target proton and (b) the projectile proton? (a) Number Units (b) Number Units
A fireworks rocket is moving at a speed of v = 43.5m/s. The rocket suddenly breaks into two pieces of equal mass, which fly off with velocities v1 at an angle of theta1 = 30.6 degrees and v2 at an angle of theta2 = 59.4 degrees. What is the magnitude of v1?
A ball of mass “m” at rest at the coordinate origin explodes into three equal pieces. At some instant, one piece is on the x-axis at x = 99 cm and another is at x = -56 cm, y =30 cm. How far from the origin is the third piece at that instant? Express your answer in cm.
Two particles with masses 2m and 8m are moving toward each other along the x axis with the same initial speeds vi. Particle 2m is traveling to the left, while particle 8m is traveling to the right. They undergo an elastic, glancing collision such that particle 2m is moving in the negative y direction after the collision at a right angle from its initial direction. (a) Find the final speeds of the two particles in terms of vi.
A proton with an initial speed of 1.75 ✕ 108 m/s in the +x direction collides elastically with another proton initially at rest. The first proton's velocity after the collision is 1.416 ✕ 108 m/s at an angle of 36.0° with the +x-axis. What is the velocity (magnitude and direction) of the second proton after the collision? Magnitude(m/s): Direction( degree counterclockwise from the +x-axis):
On a frictionless horizontal air table, puck A (with mass 0.255 kg ) is moving toward puck B (with mass 0.370 kg ), which is initially at rest. After the collision, puck A has velocity 0.122 m/s to the left, and puck B has velocity 0.649 m/s to the right. What was the speed vAi of puck A before the collision? Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.
Car A and Car B are traveling in the same direction (call it ), with B behind A, and initial speeds vA=5.6 m/s, and vB = 6 m/s. The cars have identical mass m=103 kg, and they experience an elastic collision. Now, this collision is observed by a third person traveling in a car with constant velocity v=6 m/s, traveling in the same direction as the two cars. From the point of view of this person calculate the following: Find the initial momentum of car a and b Find the final momentum of car a and b Find the total kinetic energy
A 5.3 kg sphere makes a perfectly inelastic collision with a second sphere initially at rest (they stick together after the collision). The composite system moves with a speed equal to one third the original speed of the 5.3 kg sphere. What is the mass of the second sphere?
Two objects of masses m1 = 2.0 kg and m2 = 1.3 kg moving towards each other with speeds of 2.2 m/s and 3.1 m/s, respectively, collide inelastically. Calculate the amount of kinetic energy lost in this collision, in joules.

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses. After the collision, B moves in the negative direction of the y axis at speed v/3. In what direction does A move, as an angle with respect to the x axis?