Question

A system of four particles moves along one dimension. The center of mass of the system...

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 v 4 of particle 4 at t 1 = 2.83 s given the details for the motion of particles 1, 2, and 3. particle 1: m 1 = 1.21 kg , v 1 ( t ) = ( 7.19 m / s ) + ( 0.255 m / s 2 ) × t particle 2: m 2 = 3.53 kg , v 2 ( t ) = ( 8.49 m / s ) + ( 0.399 m / s 2 ) × t particle 3: m 3 = 4.49 kg , v 3 ( t ) = ( 7.87 m / s ) + ( 0.153 m / s 2 ) × t particle 4: m 4 = 4.55 kg

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates...
Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 3.20 rad/s. An x y plane is shown. Three particles are all connected to each other by two rigid rods that are along the y-axis. The 4.00 kg particle is located at y = 3.00 m. The 2.00 kg particle is located at y = −2.00 m. The 3.00 kg mass is located at y...
31). During an explosion 3 particles fly apart, particle 1 of mass (2.00)kg moves out along...
31). During an explosion 3 particles fly apart, particle 1 of mass (2.00)kg moves out along the x axis at a speed of 10.00m/s, particle 2 of mass (3.00) kg takes off at an angle of 40 degrees above the negative x axis, and the third particle of mass (6.00) kg takes off at an angle of 35 degrees below the negative x axis. What are the speeds for particle 2 and 3 just after the explosion?
A particles velocity along the x-axis is described by v(t) = At + Bt^2, where t...
A particles velocity along the x-axis is described by v(t) = At + Bt^2, where t is in seconds, velocity is in m/s^2, A = 1.18m/s^2 and B = -0.61m/s^3. What is the distance traveled, in m, by the particle between times t0=1.0 and t1=3.0? please show steps and calculations
For a system composed of two non-interacting, distinguishable particles of mass m1 and m2 (<<m1) in...
For a system composed of two non-interacting, distinguishable particles of mass m1 and m2 (<<m1) in an 1-D infinite potential well (V=0 for 0<x<a, V=infinite otherwise), 1)Write down the hamiltonian of the system. Obtain the eigenenergies and eigenfunctions of the hamiltonian by solving the Hamiltonian eigenequation? 2) For the second-lowest eigenenergy state, what is the probability to find particle 2 between 0< x < a/4
Consider a system consisting of three particles: m1 = 4 kg, 1 = < 11, -6,...
Consider a system consisting of three particles: m1 = 4 kg, 1 = < 11, -6, 12 > m/s m2 = 2 kg, 2 = < -13, 7, -4 > m/s m3 = 3 kg, 3 = < -29, 34, 19 > m/s (a) What is the total momentum of this system? tot = ______ kg · m/s (b) What is the velocity of the center of mass of this system? cm = ______ m/s (c) What is the total...
At time t = 4 sec, a particle of mass M = 4.5 kg is at...
At time t = 4 sec, a particle of mass M = 4.5 kg is at the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s. 1)What is the x component of the particle's angular momentum about the origin? 2)What is the y component of the particle's angular momentum about the origin? 3)What is the z component of the particle's angular momentum about the origin? 4)Now an identical particle is placed at (x,y,z) = (-4,-4,-6) m, with velocity (-2,-1,2)...
At time t = 11.5 sec, a particle of mass M = 5 kg is at...
At time t = 11.5 sec, a particle of mass M = 5 kg is at the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s. 1) What is the x component of the particle's angular momentum about the origin? 2) What is the y component of the particle's angular momentum about the origin? 3) What is the z component of the particle's angular momentum about the origin? 4) Now an identical particle is placed at (x,y,z) = (-4,-4,-6)...
Block 1, of mass m 1 =9.50 kg , moves along a frictionless air track with...
Block 1, of mass m 1 =9.50 kg , moves along a frictionless air track with speed v 1 =27.0 m/s . It collides with block 2 m2 =13.0 kg , which was initially at restThe blocks stick together after the collision. Find the Magnitude p1 of the total inital momentum of the two block system. Find vf, the magnitude of the final velocity of the two block system.
Four particles are in a 2-D plane with masses, x- and y- positions, and x- and...
Four particles are in a 2-D plane with masses, x- and y- positions, and x- and y- velocities as given in the table below: m x y vx vy   1   8.9 kg -2.4 m -4.7 m 3.1 m/s -4 m/s   2   7.8 kg -3.6 m 3.5 m -5.2 m/s 5.1 m/s   3   8.7 kg 4.4 m -5.7 m -6 m/s 1.9 m/s   4   7.6 kg 5.6 m 2.5 m 4.2 m/s -3.1 m/s 1) What is the x position of...
Let us consider a particle of mass M moving in one dimension q in a potential...
Let us consider a particle of mass M moving in one dimension q in a potential energy field, V(q), and being retarded by a damping force −2???̇ proportional to its velocity (?̇). - Show that the equation of motion can be obtained from the Lagrangian: ?=?^2?? [ (1/2) ??̇² − ?(?) ] - show that the Hamiltonian is ?= (?² ?^−2??) / 2? +?(?)?^2?? Where ? = ??̇?^−2?? is the momentum conjugate to q. Because of the explicit dependence of...