As shown in the figure, a metal ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second metal ball with mass m₁ moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 0 = 54.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ = 0.300 kg.) a m₂ Before the collision Vi Q b After the collision (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s vyf sin 8 of sino vycose of Cos √₂f Q (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. JAKI
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- A 2.10 kg "particle" traveling with velocity = (3.7 m/s )i collides with a 4.70 kg "particle" traveling with velocity V = (1.7 m/s )j. The collision connects the two particles. What then is their velocity in (a) unit-vector notation and as (b) a magnitude and (c) a positive (counterclockwise) angle measured from the +x axis? (a) Number i+ į Units (b) Number Units (c) Number UnitsA proton with an initial speed of 1.75 ✕ 108 m/s in the +x direction collides elastically with another proton initially at rest. The first proton's velocity after the collision is 1.416 ✕ 108 m/s at an angle of 36.0° with the +x-axis. What is the velocity (magnitude and direction) of the second proton after the collision? Magnitude(m/s): Direction( degree counterclockwise from the +x-axis):On a frictionless horizontal air table, puck A (with mass 0.255 kg ) is moving toward puck B (with mass 0.370 kg ), which is initially at rest. After the collision, puck A has velocity 0.122 m/s to the left, and puck B has velocity 0.649 m/s to the right. What was the speed vAi of puck A before the collision? Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.
- An pickup truck with mass 1.85 103 kg is traveling eastbound at +14.7 m/s, while a compact car with mass 8.55 102 kg is traveling westbound at -14.7 m/s. (See figure.) The vehicles collide head-on, becoming entangled. (a) Find the speed of the entangled vehicles after the collision. (b) Find the change in the velocity of each vehicle. Δvtruck= ? m/s Δvcar= ? m/sCar A and Car B are traveling in the same direction (call it ), with B behind A, and initial speeds vA=5.6 m/s, and vB = 6 m/s. The cars have identical mass m=103 kg, and they experience an elastic collision. Now, this collision is observed by a third person traveling in a car with constant velocity v=6 m/s, traveling in the same direction as the two cars. From the point of view of this person calculate the following: Find the initial momentum of car a and b Find the final momentum of car a and b Find the total kinetic energyA mass of m1= 4 kg moving with a velocity of v1=(2 m/s)ˆi (positive x−direction) collides with another mass, m2 moving at v2= (−4 m/s)ˆi (negative x−direction). The masses collide and stick together, moving off with a velocity of v= (−2 m/s)ˆi. What is m2? A)m2= 4 kg B)m2= 8 kg C)m2= 12 kg D)m2= 16 kg
- In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.11 kg) and embeds itself in block 2 (mass 1.62 kg). The blocks end up with speeds v₁ = 0.600 m/s and v₂ = 1.50 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. Frictionless (a) Number (b) Number Units Units (1) (2)A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.60 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.35 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.60 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.90 m/s. 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. ------ joulesA toy car having mass m = 1.20 kg collides inelastically with a toy train of mass M = 3.90 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 = 4.90 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 = 5.50 kg is sliding in the positive x-direction at Vi = 8.85 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.30 kg. Determine the velocities, Vf and vf, of the objects after the collision. Vf = m/s vf = m/s
- A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.60 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.35 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.60 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.90 m/s. 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. ------ joulesTwo objects of equal mass collide. Object A is initially moving with a velocity of 15 m/s in the +x-direction, and object B is initially at rest. After the collision, object A is at rest. There are no external forces acting on the system of two masses. (a) Use momentum conservation to deduce the velocity of object B after the collision. (b) Is this collision elastic? Justify your answer.As shown in the figure, a wooden ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second wooden ball with mass m₁ moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 0 = 53.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ 0.300 kg.) a my = Before the collision Vi mq b After the collision (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s "If sin 0 Vof sin o Vif cos Fif Vof Cosp 2f (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AK| K₁ =