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) . 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 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) . 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?

Name: **Problem Statement:**A vessel at rest at the origin of an xy coordin
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: **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 \( (-4.5 \, \text{m/s}) \, \hat{i} \) and a second piece, also of m

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

Related questions

Q: Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at…

Q: 2 Three pieces of putty are launched at one another. They are all aimed at the origin of a Cartesian…

Q: A rocket of mass 330 kg moves along an x axis at the constant speed v₁ = 25 m/s. A small explosion…

A: We have,Mass of the rocket, M=330 kgVelocity of the rocket, u0= 25 m/sRelative velocity, v12= 11…

Q: A cannonball is fired with an initial velocity v, of 91.8 m/s, at an angle of e, = 57° with the…

Q: A 2.20-kg particle has a velocity (2.10 î − 5.00 ĵ) m/s, and a 3.50-kg particle has a velocity (1.00…

Q: Consider a system consisting of three particles: m = 3 kg, v = m/s m2 = 9 kg, v2 = m/s m3 = 4 kg,…

A: P = m1v1+ m2v2+m3v3 Vcm = m1v1+ m2v2+ m3v3/ ( M)

Q: A firecracker of mass 2m is thrown with an initial velocity that is up directions), sending it in…

A: The momentum is conserved in collision or fission.

Q: A 100-kg object was initially at rest. It exploded into 3 pieces. The 20-kg piece is moving at 5 m/s…

A: Given Data: Mass of object is m = 100 kg. Initial velocity of object is v = 0. The velocity of m1 =…

Q: Marble A of mass 3.00 kg moves exactly east at 9.00 / and has a collision with marble B of mass 5.00…

A: Step 1:The magnitude and direction of velocity of marble B before the collision can be found using…

Q: = (29î + 487) m/s and Two 9.0 kg bodies, A and B, collide. The velocities before the collision are A…

Q: Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at…

A: Apply the momentum conservation equation along the horizontal direction.…

Q: A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the…

Q: A shell is fired from a cannon with a velocity v (m/s) at an angle 8 with the horizontal direction.…

A: We are aware that a cannon round is discharged at an angle θ to the horizontal with a velocity of v…

Q: Particle A of mass m, initial velocity 20i (m/s) has a collision with a stationary particle B of…

Q: In the figure, two particles are launched from the origin of the coordinate system at time t 0.…

A: Centre of mass of system of particles is the point representing the mean position of the matter in…

Q: An atomic nucleus at rest at the origin of an xy coordinate system transforms into three particles.…

A: Let the mass of original nucleus = M Initial velocity of original nucleus = 0 m/s m1 = 16.7×10-27 kg…

Q: Just after the explosion, what is the magnitude of the velocity of the third piece? m/s (b) What is…

A: velocity of center of mass will be same = 0 before and after just collision , because explosion is…

Q: The mass of a particle is 2 kg and its velocity is given by V1 = 2i-10tj m / s, with time in t s.…

Q: A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the…

A: Three pieces of the vessel having masses as, and Mass moves with velocity Mass moves with…

Q: A space probe, initially at rest, undergoes an internalmechanical malfunction and breaks into three…

A: Step 1We have Assumed the angle between the mass m3 and positive x axis to be (Θ3)As shown in the…

Q: Two manned satellites approaching one another at a relative speed of 0.400 m/s intend to dock. The…

A: Given values - u1=0.400 msm1=2.50×103u2=0ms (second satellite is initially at rest)m2=7.50×103 kg…

Q: m 3 kg, 7,- m/s my-4 kg, 7 m/s

Q: Problem 23: A cue ball of mass m1 = 0.365 kg is shot at another billiard ball, with mass m2 =…

Q: A 2.30-kg particle has a velocity (2.20 î − 4.50 ĵ) m/s, and a 3.50-kg particle has a velocity (1.00…

A: Given,

Q: A 3.4 kg grenade initially at rest explodes into three pieces. A 1.2 kg piece is heading at a speed…

Q: Particle P has a mass of 3 kg and Particle Q has a mass of 'm' kg. The particles are moving in…

A: Mass of particle Q. given, Initial speed of P, viP=4 m·s-1Initial speed of Q, viQ=2 m·s-1Final speed…

Q: 5.0 kg. In FIGURE What are the coordinates of the center of mass of the system? у (m) the three…

A: Given data: The mass of particle one is m1 = 3 kg. The mass of particle two is m2 = 4 kg. The mass…

Q: A nucleus, initially at rest, decays radioactively. In the process, it emits an electron…

Q: A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the…

A: Given,

Q: A shell with mass 4m is moving with ahorizontal speed of 40 m/s at a height of 100 m. At this…

A: We use momentum conservation and kinematic equations to get the required.

Q: cannonball is fired with an initial velocity vi of 91.8 m/s, at an angle of θ0 = 57° with the…

Q: A fireworks rocket moving at a speed of 29.1 m/s suddenly breaks into two pieces of equal mass. If…

Q: A fireworks rocket is moving at a speed of v = 43.5m/s. The rocket suddenly breaks into two pieces…

Q: A projectile with a mass m = 200 kg and a velocity v = 100 m s−1 is fired at an angle of ϕ = 60 ◦ .…

Q: Masses of m = 2 (kg) and m2 = 4 (kg), the directions of which are shown in the figure, collide…

Q: Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The…

A: Assume that, the reference frame in which the second satellite is initially at rest, and the…

Q: A block of mass m1=1.50 kg is initially travelling at u1=3.50 m/s to the right. It collides with a…

Q: A rigid ball of mass m and velocity u undergoes an inelastic collision with another rigid ball of…

A: Given: The mass of the rigid ball is m1=m, The initial velocity of the rigid ball is u1=u, The mass…

Q: A spaceship, with a mass of 10000 kg, is traveling at a speed of v0 = 300 m/s. Suddenly, the engine…

Q: A rocket has mass 40,000 Kilogram (kg) which includes 20,000 kg of fuel mixture is fired vertically…

Topic Video

Question

**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 \( (-4.5 \, \text{m/s}) \, \hat{i} \) and a second piece, also of mass \( m \), moves with velocity \( (-4.5 \, \text{m/s}) \, \hat{j} \). 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?

**Questions:**

(a) Magnitude of the velocity of the third piece:
- Number: [Input Box]
- Units: [Dropdown]

(b) Direction of the velocity (angle relative to the +x axis) of the third piece:
- Number: [Input Box]
- Units: [Dropdown]

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: Given data

VIEW

Step 2: Define Momentum and calculation for initial and final momentum of vessel.

VIEW

Step 3: Calculation for velocity vector of mass 3m using law of conservation of momentum.

VIEW

Step 4: Calculation for magnitude of velocity of mass 3m after explosion.

VIEW

Step 5: Calculation for direction of velocity of mass 3m after explosion.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 53 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

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 1.90 kg "particle" traveling with velocity = (4.0 m/s i collides with a 3.20 kg "particle" traveling with velocity = (2.3 m/s )j. The collision connects the two particles. What then is their velocity in (a) unit-vector notation and as (b) a magnitude and (c) a positive (counterclockwise) angle measured from the +x axis? (a) Number i (b) Number (c) Number i Units Units j Units
Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.
Please asap
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
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.
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).
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.
Asap
An instrument-carrying projectile of mass m1 accidentally explodes at the top of its trajectory. The horizontal distance between launch point and the explosion is x0. The projectile breaks into two pieces that fly apart horizontally. The larger piece, m3, has three times the mass of the smaller piece, m2. To the surprise of the scientist in charge, the smaller piece returns to earth at the launching station. Neglect air resistance and effects due to the earth’s curvature. How far away from the original launching point does the larger piece land