An object of mass 4 kg, moving with an initial velocity of (5î )m/s, collides (pa) with and sticks (ail) to an object of mass 2 kg moving with an initial velocity of (-3) )m/s. The velocity of the composite object (in siall l (measured in m/s) is: [Hint: The net external force acting on the two objects is zero]. A. (3î – 1.2j) B. (3î – 4.2j) C. (î + 2j) D. (3.3î - j) E. (-8î + 7j)

An object of mass 4 kg, moving with an initial velocity of (5î )m/s, collides (pa) with and sticks (ail) to an object of mass 2 kg moving with an initial velocity of (-3) )m/s. The velocity of the composite object (in siall l (measured in m/s) is: [Hint: The net external force acting on the two objects is zero]. A. (3î – 1.2j) B. (3î – 4.2j) C. (î + 2j) D. (3.3î - j) E. (-8î + 7j)

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter2: Relativity Ii

Section: Chapter Questions

Problem 31P: A particle of mass m moving along the x-axis with a velocity component +u collides head-on and...

See similar textbooks

Similar questions

In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .
A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.
A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?
A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
A ball of mass 250 g is thrown with an initial velocity of 25 m/s at an angle of 30 with the horizontal direction. Ignore air resistance. What is the momentum of the ball after 0.2 s? (Do this problem by finding the components of the momentum first, and then constructing the magnitude and direction of the momentum vector from the components.)
Check Your Understanding Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)? Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)?
A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.
Two figure skaters are coasting in the same direction, with the leading skater moving at 5.5 m/s and the trailing skating moving at 6.2 m/s. When the trailing skater catches up with the leading skater, he picks her up without applying any horizontal forces on his skates. If the trailing skater is 50 heavier than the 50-kg leading skater, what is their speed after he picks her up?
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle ϕ south of east (as indicated in the figure). After the collision, the two-car system travels at speed vfinal at an angle θ east of north. (Figure 1) What is the angle θ with respect to north made by the velocity vector of the two cars after the collision? Express your answer in terms of ϕ.
In his super hero adventure the Hulk purses his arch-nemesis, the Red Hulk through the streets of the city. The two collide at an intersection and slide, locked in battle, a distance of d= 17 m, at an angle of θ= 30 degrees with respect to the−x-axis. If the masses of the Hulk and Red Hulk are mH= 1300 kg and mR= 1100 kg respectively, what were their initial velocity vectors given the Hulk was initially traveling at φ= 90 degrees with respect to the x-axis and the Red Hulk was traveling at η= 180 degrees with respect to the x-axis.The coefficient of friction between the road and the Honks, is given by μk= 0.8. PLEASE GIVE SOLUTIONS IN VECTOR FORM and show all work for better understanding. Thanks!
In his super hero adventure the Hulk purses his arch-nemesis, the Red Hulk through the streets of the city. The two collide at an intersection and slide, locked in battle, a distance of d= 17 m, at an angle of θ= 30 degrees with respect to the−x-axis. If the masses of the Hulk and Red Hulk are mH= 1300 kg and mR= 1100 kg respectively, what were their initial velocity vectors given the Hulk was initially traveling at φ= 90 degrees with respect to the x-axis and the Red Hulk was traveling at η= 180 degrees with respect to the x-axis.The coefficient of friction between the road and the Honks, is given by μk= 0.8.
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was travelling at speed v at an angle theta south of east (as indicated in the figure). After the collision, the two car system travels at a speed vfinal at an angle phi east of north. Express your answers in terms of known quantities. Find the magnitude of the speed vfinal in terms of v and theta.