Consider a system of two particles in the xy plane: m1 = 2.00 kgis at the location r→1 = (1.00î + 2.00ĵ)m and has a velocity of (3.00î + 0.500ĵ)m/s; m2 = 3.00 kg is at r→2 = (-4.00î - 3.00ĵ)m and has velocity (3.00î- 2.00ĵ) m/s. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (b) Find the position of the center of mass of the system and mark it on the grid. (c) Determine the velocity of the center of mass and also show it on the diagram. (d) What is the total linear momentum of the system?

Consider a system of two particles in the xy plane: m1 = 2.00 kgis at the location r→1 = (1.00î + 2.00ĵ)m and has a velocity of (3.00î + 0.500ĵ)m/s; m2 = 3.00 kg is at r→2 = (-4.00î - 3.00ĵ)m and has velocity (3.00î- 2.00ĵ) m/s. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (b) Find the position of the center of mass of the system and mark it on the grid. (c) Determine the velocity of the center of mass and also show it on the diagram. (d) What is the total linear momentum of the system?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 11OQ

See similar textbooks

Similar questions

In a laboratory experiment, 1 a block of mass M is placed on a frictionless table at the end of a relaxed spring of spring constant k. 2 The spring is compressed a distance x0 and 3 a small ball of mass m is launched into the block as shown in Figure P11.22. The ball and block stick together and are projected off the table of height h. Find an expression for the horizontal displacement of the ballblock system from the end of the table until it hits the floor in terms of the parameters given. FIGURE P11.22
In a ballistic pendulum demonstration gone bad, a 0.54 gg pellet, fired horizontally with kinetic energy 3.30 JJ , passes straight through the 400 gg Styrofoam pendulum block. If the pendulum rises a maximum height of 0.52 m , how much kinetic energy did the pellet have after emerging from the Styrofoam?
A 2 kg object moving at 3 m/s collides with a 4 kg object that is stationary. If the collision is perfectly inelastic, what is the speed of the 2 kg object after the collision? and how much is KE lost? speed = −0.5 m/s and KE lost = 9J speed = −1 m/s and KE lost = 3J No answer speed = 1 m/s and KE lost = 6J speed = 1.5 m/s and KE lost = 12J
In a ballaistic pendulum, a bullet of mass m=5.50 g is fired with an initial speed vo=550 m/s at the bob of a pendulum. The bob has mass M=2.00kg and suspended by a rod of negligibel mass. After the collision, the bullet and bob stick together and swing through an arc, eventually gaining a height h. a) please find the h b) please find the kinetic energy of the system before the collison and after the collision (hint: use momentum conservation law for the collision process and then use energy conservation law for the swing process)
A steel ball (mass = 3.84 kg) is fired at a stationary pendulum (mass = 16.0 kg and length = 0.775). After the perfectly inelastic collision, the ball and pendulum system swing to an angle of 47.0 degrees with respect to the vertical. What is the muzzle velocity of the ball (the velocity just before the collision)? Use g=9.8
A spring-loaded toy gun is aimed vertically and fired after a spherical projectile of mass m = 28.0 g is loaded by compressing the spring with force constant k = 830 N/m a distance of 9.20 cm. As the projectile travels a total distance of 56.0 cm along the barrel of the gun, it experiences a friction force of 2.00 N. What is the height reached by the projectile above its initial location with the spring compressed?
A 130 lb person sitting in a 150 lb iceboat fires a gun, discharging a 2 oz bullet horizontally. If the bullet speed leaving the gun is 1200 ft/s, what will be the speed of the boat after the bullet is fired, if we assume no friction? The correct answer is 0.54 ft/s
A basketball of mass 0.6kg is dropped from rest. Just before striking the floor, it has a momentum whose magnitude is 3.1kgm/s. At what height was the basketball dropped?
In the figure, block 2 (mass 1.70 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 218 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.70 kg), traveling at speed v1 = 3.40 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?
The figure shows a small wad of putty colliding into a bar. The bar is initially hanging at rest from a pivot located at one end of the bar. The collision is completely inelastic. The bar has mass M = 3.67 kilograms and length L = 1.01 meters. The putty wad has mass m = 129 grams and is moving horizontally with vi = 1.12 m/s just before colliding with and sticking to the bar. The putty wad collides with the bar at d = 0.81 meters from the pivot. Note that the size of the putty wad is negligible compared to the length of the bar. 1.Calculate the angular velocity (rad/s) of the bar just after the collision.
Two objects of masses mi=0.56 kg and m2*0.88 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 280 N/m is placed between them Neglect the mass of the spring The spring is not attached to either object and is compressed a distance of 9.8 cm. If the objects are released from rest find the final velocity of cach object.
A 7.03 kg bowling ball moves at 2.85 m/s.How fast must a 2.26 g Ping-Pong ball moveso that the two balls have the same kineticenergy?Answer in units of m/s.