**Problem Statement:**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 \((-44 \, \text{m/s}) \, \hat{i}\) and a second piece, also of mass \( m \), moves with velocity \((-44 \, \text{m/s}) \, \hat{j}\). 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?**Answers:**(a) - **Number:** [Input Field] - **Units:** [Dropdown Menu](b) - **Number:** [Input Field] - **Units:** [Dropdown Menu]

Answered: Image /qna-images/answer/39477686-dcaa-441f-9a49-a5695c65743d.jpg

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 (- 44 m/s) i and a second piece, also of mass m, moves with velocity (- 44 m/s) j. 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 Units (b) Number i Units

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 (- 44 m/s) i and a second piece, also of mass m, moves with velocity (- 44 m/s) j. 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 Units (b) Number i Units

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 rocket moving in space, far from all other objects, has a speed of 3.0 x 10* m/s relative to the Earth. Its engines are turned on, and fuel is ejected in a direction opposite the rocket's motion at a speed of 5.0 x 10* m/s relative to the rocket. (A) What is the speed of the rocket relative to the Earth once the rocket's mass is reduced to half its mass before ignition?
Current Attempt in Progress 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 (-35 m/s) i^and a second piece, also of mass m, moves with velocity (-35 m/s) j^. 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
A particle with mass mA = 3.00 kg is located at rA = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i – 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).
A particle with an initial linear momentum of 2.30 kg · m/s directed along the positive x-axis collides with a second particle, which has an initial linear momentum of 4.60 kg · m/s, directed along the positive y-axis. The final momentum of the first particle is 3.45 kg · m/s, directed 45.0° above the positive x-axis. Find the final momentum of the second particle. magnitude direction above the negative x-axis
You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 82.3 kg, and the mass of the sled when empty is 20.8 kg. From shore, someone throws a baseball of mass 0.122 kg to you, and you catch it; the horizontal component of the ball s velocity is 29.4 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball? 17.1 cm/s 2.08 cm/s 3.47 cm/s 4.35 cm/s
Two fun-loving otters are sliding toward each other on a muddy (and hence frictionless) horizontal surface. One of them, of mass 7.50 kg, is sliding to the left at 5.00 m/s while the other, of mass 5.75 kg, is slipping to the right at 6.00 m/s. They hold fast to each other after they collide. (a) Find the magnitude and direction of the velocity of these free-spirited otters right after they collide. (b) How much mechanical energy dissipates during this play?
A firework with mass M is launched from the origin with initial speed v0 and angle θ0 and travels along the usual parabolic path above flat ground. At the peak of its path, it explodes into two pieces. Piece one has mass .5M and speed v1 in an angle of 30◦ below the horizontal direction and the other piece has mass .5M and speed v2 in an unknown direction. (a) Do the two pieces land at the same time? (Justify your answer) (b) Sketch the motion of the COM and of both pieces. Note any external forces, and describe if p is conserved in x, y or both for the duration of the flight. Also note if the two pieces land at the same distance from the target or describe which one lands closer/further.
Needs Complete solution with 100 % accuracy.
A rocket ship is travelling through space. The fuselage section has a mass of 505 kg. The Nose Cone (front end) section has a mass of 100 kg. The rocket is travelling at 52.0 m/s when the rocket engine stops and the two sections are separated by an explosion in such a way that they stay in a straight line. If the Nose Cone section (front end) continues forward at 98.0 m/s, determine the speed of the Fuselage section after the separation.
Problem 3: A particle with mass ma = 3.00 kg is located at ra = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i - 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).
A system of three particles with masses m1 = 3.0 kg, m2 = 4.0 kg and m3 = 8.0 kg is placed on a two dimensional xy plane. The scales on the axes are set by x, = 2.0 m and y, = 2.0 m. y (m) mg m1 * (m) Figure 2 (a) Find out the x coordinate of the system's center of mass. (b) Find out the y coordinate of the system's center of mass. (c) Find out the acceleration of the system if an external force of 5 N acts on it.
An object with total mass mtotal = 14.4 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.7 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 26 m/s. A second piece with mass m2 = 5.4 kg moves down and to the right an angle of θ2 = 23° to the right of the -y axis at a speed of v2 = 22.6 m/s. What is the x-component of the velocity of the third piece? What is the y-component of the velocity of the third piece? What is the magnitude of the velocity of the center of mass of the pieces after the collision? Calculate the increase in kinetic energy of the pieces during the explosion.