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 v in the negative x direction, and a second piece, also of mass m, moves with the same velocity in the negative y direction. The third piece has mass 3m. Just after the explosion, (a) what is the magnitude of the velocity of the third piece in terms of the given variables? (b) What is the direction of its motion (as an angle relative to the positive x axis)? (a) (b)

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 v in the negative x direction, and a second piece, also of mass m, moves with the same velocity in the negative y direction. The third piece has mass 3m. Just after the explosion, (a) what is the magnitude of the velocity of the third piece in terms of the given variables? (b) What is the direction of its motion (as an angle relative to the positive x axis)? (a) (b)

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 system of four particles moves along one dimension. The center of mass of the system is at rest, and the particles do not interact with any objects outside of the system. Find the velocity v4 of particle 4 at t₁ = 2.91 s given the details for the motion of particles 1, 2, and 3. U4 = particle 1: m₁ = 1.33 kg, particle 2: particle 3: particle 4: m₂ = 2.81 kg, m3 = 4.49 kg, m4 = 5.27 kg U₁ (t) = (5.87 m/s) + (0.299 m/s²) xt U₂ (1) = (8.27 m/s) + (0.357 m/s²) xt v3 (t) = (7.43 m/s) + (0.111 m/s²) × t m/s
Two objects collide and stick together. Initially, object A has a mass of 6.0kg and a velocity A. Object B has a mass of 4.5 kg and a velocity of vB [4.6| of vA S (a) What is the magnitude and direction of the momentum of the system that includes both A and B? (b) What will be the magnitude and direction of the velocity of the two objects immediately after the collision? (c) By how much was the kinetic energy of this system changed by the collision?
A toy car having mass m = 1.30 kg collides inelastically with a toy train of mass M = 3.70 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.30 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.65 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.05 m/s. (a) Determine Vf, the final velocity of the toy train.m/s(b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE. J Question 6.1b:A block with mass M = 5.75 kg is sliding in the positive x-direction at Vi = 8.70 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.75 kg. Determine the velocities, Vf and vf, of the objects after the collision. Vf = m/s vf = m/s
Two objects move over a frictionless horizontal surface. The first object A of mass M1= 5 kg, is moving to the right with velocity 4.5 m/s toward the second object B of mass M2 =2 kg which is moving to the left with a velocity of 2 m/s. After the collision the first object will move to the right with a velocity of 1.5 m/s and at an angle of 30 with the line joining the two objects before the collision. 1. What is the magnitude and the angle of the velocity of the second object B? 2. Is the collision elastic or inelastic and why?
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 î + 8.00 ĵ) m/s. (a) Find the velocity of the center of mass. (b) Find the total momentum of the system.
A system consists of two particles with masses m1 = 2 kg and m2 = 3 kg. Particle 1 is located at coordinates (2 m, 3 m) and particle 2 is located at coordinates (5 m, -1 m). Determine the coordinates of the center of mass of the system.
Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 2.00 ✕ 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. m/s
A 0.446 kg puck, initially at rest on a horizontal, frictionless surface, is struck by a 0.293 kg puck moving initially along the x-axis with a speed of 2.59 m/s. After the collision, the 0.293 kg puck has a speed of 1.59 m/s at an angle of 22◦ to the positive x axis. Determine the magnitude of the velocity of the 0.446 kg puck after the collision.
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 (-25 m/s) î and a second piece, also of mass m, moves with velocity (-25 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 Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement This answer has no…
A projectile with a mass m = 200 kg and a velocity v = 100 m s−1 is fired at an angle of ϕ = 60 ◦ . At the highest point of its trajectory, it explodes and breaks into three pieces with the same mass. Two pieces have the same velocity magnitude as the projectile shortly before the explosion. One of those two pieces moves vertically downwards, and the other moves horizontally forward. a) Compute the velocity of the third piece right after the explosion. b) What was the released energy of the explosion?
A system of four particles moves along one dimension. The center of mass of the system is at rest, and the particles do not interact with any objects outside of the system. Find the velocity ?4v4 of particle 4 at ?1=3.07 st1=3.07 s given the details for the motion of particles 1, 2, and 3. particle 1:?1=1.33 kg,?1(?)=(6.97 m/s)+(0.321 m/s2)×?particle 1:m1=1.33 kg,v1(t)=(6.97 m/s)+(0.321 m/s2)×t particle 2:?2=3.53 kg,?2(?)=(8.27 m/s)+(0.315 m/s2)×?particle 2:m2=3.53 kg,v2(t)=(8.27 m/s)+(0.315 m/s2)×t particle 3:?3=3.89 kg,?3(?)=(7.43 m/s)+(0.447 m/s2)×?particle 3:m3=3.89 kg,v3(t)=(7.43 m/s)+(0.447 m/s2)×t particle 4:?4=4.55 kg
Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The first has a mass of 4.50 ✕ 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.m/s