### Problem DescriptionA 10-kg body is moving through space (ignoring gravity) in the positive direction of a y-axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass = 2 kg) and piece B (mass = 8 kg). Piece A moves away from the point of the explosion with a speed of 50 m/s in the +x direction. Piece B has a velocity \(\vec{v}_B\) after the explosion.#### Part a:What is the total linear momentum of the two-piece system after the explosion? Put your answer in unit vector notation.#### Part b:What is the x-component and y-component of the velocity \(\vec{v}_B\) of piece B after the explosion? Remember to include a plus or minus sign to indicate direction. ### ExplanationThe problem involves a conservation of momentum scenario. Initially, the entire system (10-kg body) has a linear momentum due solely to its initial velocity in the +y direction. After an explosion divides it into two pieces, the conservation of momentum principle allows us to calculate the resulting velocities and momentum of the pieces. Piece A moves in the +x direction, and you will be asked to find the velocity components of piece B.

Name: ### Problem DescriptionA 10-kg body is moving through space (ignoring
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: ### Problem DescriptionA 10-kg body is moving through space (ignoring gravity) in the positive direction of a y-axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass = 2 kg) and piece B (mass = 8 k

Answered: Image /qna-images/answer/fd0a169b-ab6b-4667-9c40-b89897826bc1.jpg

Science

Physics

4. A 10-kg body is moving through space (ignore gravity) in the positive direction of a y axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass= 2 kg) and piece B (mass = 8 kg). Piece A moves away from the point of the explosion with a speed of 50 m/s in the +x direction. Piece B has a velocity vg after the explosion. a. What is the total linear momentum of the two-piece system after the explosion? Put your answer in unit vector notation. b. What is the x component and y component of the velocity VB of piece B after the explosion? Remember to include a plus or minus sign to indicate direction.

4. A 10-kg body is moving through space (ignore gravity) in the positive direction of a y axis with a speed of 140 m/s when, due to an internal explosion, it breaks into two pieces: piece A (mass= 2 kg) and piece B (mass = 8 kg). Piece A moves away from the point of the explosion with a speed of 50 m/s in the +x direction. Piece B has a velocity vg after the explosion. a. What is the total linear momentum of the two-piece system after the explosion? Put your answer in unit vector notation. b. What is the x component and y component of the velocity VB of piece B after the explosion? Remember to include a plus or minus sign to indicate direction.

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

1. A billiard ball, labeled 1, moving horizontally strikes another billiard ball, labled 2, at rest. Before the impact ball 1 was moving at a speed of 5.0000 m/s and after the impact it is moving at a speed of 3.0000 m/s at an angle of 50 degrees from the original direction. The two balls have equal mass. Vii O Ball 1 only O Ball 2 only m₁ y m₂ 0₂ Vif m₁ m/s m₂ V2f (a) What should you consider a system for the collisional forces to be internal in order to apply the law of conservation of momentum ? X O Ball 1 and Ball 2 (b) Write conservation of momentum equations for the x and y directions separately and solve for the speed of ball 2 after the impact. Speed of ball 2 after impact =
As part of a carnival game, a ?b=0.528 kgmb=0.528 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.403 kgmo=0.403 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.1 m/s.vb,i=11.1 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.10 m/svb,f=3.10 m/s in the same direction, the topmost object has an angular velocity of ?o=4.03 rad/sωo=4.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass? ?o=Io= kg⋅m2kg⋅m2 What is the center of mass velocity ?o,cmvo,cm of the tall object immediately after it is struck?
1.Two cars collide at an intersection and stick together. Car A, with a mass of 1200 kg , was going east at vA = 25 m/s before the collision while car B, of mass 1600 kg , was going north at vB = 16 m/s . What is the speed of the cars after the collision? 2.A head-on, elastic collision between two particles with equal initial speed v leaves the more massive particle (mass m1 ) at rest. The less massive particle has mass m2 . Find the ratio of the particle masses. Then find the final speed of the less massive particle.
A small comet moves at velocity 5050 m/s. Heat from the sun makes it break into two smaller pieces. The first piece has mass 1250-kg and velocity 5720 m/s in the same direction as before. The second piece has mass 2400-kg. What is its velocity? magnitude direction
Two asteroids of equal mass collide in an ellastic collision. Asteroid A has an initial velocity of 40 m/s. After the collision, asteroid A deflects an an angle of 30° above its initial direction. Asteroid B is initially at rest. After the collision, asteroid B travels at 45° below the original direction of asteroid A. What are the final speeds of the two asteroids?
Two cars are approaching a perpendicular intersection without a stop sign. Car 1 has a mass m₁ = 800 kg and is heading north at V₁ 15 m/s. Car 2 has mass m2 = 700 kg and is heading west at an unknown speed v2. The two cars collide at the intersection, and stick together as a result of the collision. The police report stated that after the collision, the two cars moved together in a direction 40° west of north and stopped after sliding d 35 m from the collision point. = = Find the speed of car 2 before the colision. v2 - 18 What is the speed of the cars immediately after the collision? v= 17 m/s X What is the coefficient of kinetic friction between the cars and the pavement? μk = - What is the magnitude of the impulse exerted on car 2 during the collision? J₂ = m/s X 0.120 8110 N-S What is the magnitude of the impulse exerted on car 1 during the collision? J₁ If the collision lasted 0.3 seconds, then what is the magnitude of the average force on car 1 during the collision? Favg N X X…
As part of a carnival game, a ?b=0.628 kgmb=0.628 kg ball is thrown at a stack of 17.8 cm17.8 cm tall, ?o=0.363 kgmo=0.363 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.3 m/s.vb,i=11.3 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.60 m/svb,f=3.60 m/s in the same direction, the topmost object has an angular velocity of ?o=3.23 rad/sωo=3.23 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located ?=12.5 cmr=12.5 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?
Two objects are on a collision course. Object #1 has a mass of 3.2 kg and an initial velocity of 5.5 m/s i. Object #2 has a mass of 7.3 kg and an initial velocity of --12 m/s i. After colliding, Object #1 has a velocity of -2.8 m/s i. What is the final velocity of object #2? Let positive answers be (+i) and negative answers be (-i) regarding directions.
A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v = 21.2 m/s and a 1500 kg pickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (car and truck) moves off in a direction of 35.0° above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage in meters per second. initial speed of the truck final speed of the wreckage m/s m/s
An 9.00 kgkg block of wood sits at the edge of a frictionless table, 2.25 mm above the floor. A 0.575 kgkg blob of clay slides along the length of the table with a speed of 24.7 m/sm/s, strikes the block of wood, and sticks to it. The combined object leaves the edge of the table and travels to the floor. 1) What horizontal distance has the combined object traveled when it reaches the floor?