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5. (25 marks) Particles A and B are moving rectilinearly along the same line. At some point, they...
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into...
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into the masses of particles produced in the collisions. Consider a collision of two protons that produces two charged kaons. The mass of the proton is mp- 938.3 MeV/c2, and the mass of each kaon is mK 493.7 MeV/c2. The reaction is a) The total energy (kinetic energy and rest energy) and total momentum is conserved. Suppose one of the protons is at rest in...
Two point masses mu and my with initial velocities vi and vu collide in a fully...
Two point masses mu and my with initial velocities vi and vu collide in a fully elastic collision. Calculate the final (after collision) velocities vi and V, of mı and in the lab frame. Enter your responses in terms of some or all of 'm_1' for mı, 'm_2' for m2, 'V_1' for vi, 'V_2" for v2. 력 Vy = Compare the kinetic energies and their changes in an elastic collision. The KE in the lab frame equals the KE in...
A bumper car with mass m1 = 107 kg is moving to the right with a...
A bumper car with mass m1 = 107 kg is moving to the
right with a velocity of v1 = 4.6 m/s. A second bumper
car with mass m2 = 98 kg is moving to the left with a
velocity of v2 = -3.2 m/s. The two cars have an elastic
collision. Assume the surface is frictionless.
1) What is the velocity of the center of mass of the system?
m/s
2) What is the initial velocity of car 1...
One object is moving and one object is at rest. The two objects then collide in...
One object is moving and one object is at rest. The two objects then collide in a dimensional, completely inelastic collision. So the two objects stick together after the collision and move off with a common velocity. Momentum of the two-object system is conserved. The masses of the two objects are 5.00 kg and 8.50 kg, respectively. The speed of the moving object masses 5.00 kg before the collision is 22.5 m/sec. Find the final speed of the two-object system...
An archer shoots an 0.4kg arrow with a velocity of +98.00 m/s at a 4.50kg target
An archer shoots an 0.4kg arrow with a velocity of +98.00 m/s at a 4.50kg target. Just before impact, the target was moving toward the archer with at 6.00m/s. The arrow then strikes the target and exits with a velocity of +50.00 m/s. (a)What is the final velocity of the target after impact? (b)What is the minimum amount of kinetic energy required to conserve the momentum of the system? (c)What is the velocity of the zero momentum frame, vem, for this system? (d)Using ,...
14) (Conservation of linear momentum) An air cart of mass m=1 kg and speed vo-Im's moves...
14) (Conservation of linear momentum) An air cart of mass m=1 kg and speed vo-Im's moves toward second identical air cart that is at rest. When the carts collide, they stick together and move as one a) Using the conservation of linear momentum, calculate the velocity ve when the carts stick together (this is also the velocity of the center of mass after collision). b) Calculate the kinetic energy before and after collision. Is the collision elastic Without any calculation,...
1. Collision. Two identical billiard balls collide head-on to each other as shown. The incident velocities...
1. Collision. Two identical billiard balls collide head-on to each other as shown. The incident velocities vi and v2 (before collision) are 3 m/s and 7 m/s (pay attention to their directions). a). What is the value of the velocity of the center-of-mass of the system? b). In the center of mass reference frame, the velocities of two objects are denoted as v' and v2'. Please find the values of v' and v2 e). In the center of mass reference...
Sphere A, of mass 0.600 kg, is initially moving to the right at 4.00 m/s. Sphere B, of mass 1.80 kg, is initially to the...
Sphere A, of mass 0.600 kg, is initially moving to the right at 4.00 m/s. Sphere B, of mass 1.80 kg, is initially to the right of sphere A and moving to the right at 2.00 m/s. After the two spheres collide, sphere B is moving at 3.00 m/s in the same direction as before. (a) What is the velocity (magnitude and direction) of sphere A after this collision? (b) Is this collision elastic or inelastic? (c) Sphere B then...
4. Consider two asteroids with masses mi and m2 located in outer space far away from any external forces. m2 is initially stationary but mi travels horizontally to the right towards m2 with an initia...
4. Consider two asteroids with masses mi and m2 located in outer space far away from any external forces. m2 is initially stationary but mi travels horizontally to the right towards m2 with an initial speed vo. Let's assume that after the collision the asteroids only move horizontally (in other words we'll assume this problem is purely 1-dimensional) a) Suppose the asteroids stick together after colliding. Find an expression for the final velocity of the asteroids and show that the...
Question 1 10 pts 1) A mass of 4 kg is moving at some velocity and...
Question 1 10 pts 1) A mass of 4 kg is moving at some velocity and collides inelastically with a 7 kg moving in the-x direction at 10 m/s. After the collision, both masses are moving in the -x direction and the total kinetic energy of both masses is 68 Joules. What was the momentum of the 4 kg mass before collision in kg m/s? Include a negative sign if moving in the negativex direction.
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into the masses of particles produced in the collisions. Consider a collision of two protons that produces two charged kaons. The mass of the proton is mp- 938.3 MeV/c2, and the mass of each kaon is mK 493.7 MeV/c2. The reaction is a) The total energy (kinetic energy and rest energy) and total momentum is conserved. Suppose one of the protons is at rest in...
Two point masses mu and my with initial velocities vi and vu collide in a fully elastic collision. Calculate the final (after collision) velocities vi and V, of mı and in the lab frame. Enter your responses in terms of some or all of 'm_1' for mı, 'm_2' for m2, 'V_1' for vi, 'V_2" for v2. 력 Vy = Compare the kinetic energies and their changes in an elastic collision. The KE in the lab frame equals the KE in...
A bumper car with mass m1 = 107 kg is moving to the
right with a velocity of v1 = 4.6 m/s. A second bumper
car with mass m2 = 98 kg is moving to the left with a
velocity of v2 = -3.2 m/s. The two cars have an elastic
collision. Assume the surface is frictionless.
1) What is the velocity of the center of mass of the system?
m/s
2) What is the initial velocity of car 1...
One object is moving and one object is at rest. The two objects then collide in a dimensional, completely inelastic collision. So the two objects stick together after the collision and move off with a common velocity. Momentum of the two-object system is conserved. The masses of the two objects are 5.00 kg and 8.50 kg, respectively. The speed of the moving object masses 5.00 kg before the collision is 22.5 m/sec. Find the final speed of the two-object system...
14) (Conservation of linear momentum) An air cart of mass m=1 kg and speed vo-Im's moves toward second identical air cart that is at rest. When the carts collide, they stick together and move as one a) Using the conservation of linear momentum, calculate the velocity ve when the carts stick together (this is also the velocity of the center of mass after collision). b) Calculate the kinetic energy before and after collision. Is the collision elastic Without any calculation,...
1. Collision. Two identical billiard balls collide head-on to each other as shown. The incident velocities vi and v2 (before collision) are 3 m/s and 7 m/s (pay attention to their directions). a). What is the value of the velocity of the center-of-mass of the system? b). In the center of mass reference frame, the velocities of two objects are denoted as v' and v2'. Please find the values of v' and v2 e). In the center of mass reference...
4. Consider two asteroids with masses mi and m2 located in outer space far away from any external forces. m2 is initially stationary but mi travels horizontally to the right towards m2 with an initial speed vo. Let's assume that after the collision the asteroids only move horizontally (in other words we'll assume this problem is purely 1-dimensional) a) Suppose the asteroids stick together after colliding. Find an expression for the final velocity of the asteroids and show that the...
Question 1 10 pts 1) A mass of 4 kg is moving at some velocity and collides inelastically with a 7 kg moving in the-x direction at 10 m/s. After the collision, both masses are moving in the -x direction and the total kinetic energy of both masses is 68 Joules. What was the momentum of the 4 kg mass before collision in kg m/s? Include a negative sign if moving in the negativex direction.
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