A particle of mass m and velocity u1 collides head-on with another particle of mass 3m at rest. Calculate the velocities v1 and v2 after the collision if (a) No kinetic energy is lost (b) Maximum lost kinetic energy
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- a mass m1 collides elastically with a mass m2 initially at rest in a 1-dimensional collision. if the velocity of m1 is vo before the collision, derive a formula for the velocities of m1 and m2 after the collisions. If m1 >> m2, what roughly is the speed of m2 after the collision?A railroad car of mass 2000 kg is moving with a speed of 4 m/s. It collides and couples with another railroadcar of the same mass which was initially at rest. a) What is the speed of the two cars after the collision? b) If the collision happened within 0.02s, how big is the force impacted on the car which was at restinitially?A particle of mass m moves with a momentum of magnitude p. Show that the kinetic energy of the particle KE = p2/2m
- A bomb at rest shatters into 3 chunks upon detonation. 2 chunks of equal mass (m) and the same magnitude of momentum (mv) move along the positive x-axis and positive y-axis, as shown in the diagram above. Identify the magnitude and direction of the velocity of the third chunk with a mass 4 times larger (4m) as the other 2 chunks. O A (V/4)/2 « OB. 2v 3 OC. 2v 亭。 3 O D. 2v O .A billiard ball rolling across a table at 1.70 m/s makes a head-on elastic collision with an identical ball. Find the speed of each ball after the collision when each of the following occurs. (a) The second ball is initially at rest. first ball m/s second ball m/s (b) The second ball is moving toward the first at a speed of 1.15 m/s. first ball m/s second ball m/s (c) The second ball is moving away from the first at a speed of 0.95 m/s. first ball m/s second ball m/sTwo particles of masses m and 2m move along the x axis with equal by magnitude but oppositely directed velocities, as shown in the figure below. V (2m) m What is the total linear momentum of the system? Px = mv O Px = -my O py = 3mv O Px = mv?
- A particle of mass m (particle #1) is fired head-on at speed 48 m/s toward another particle of mass 3m (particle #2) which is at rest. The result of this collision is that #1 comes to a complete stop, and #2 moves forward. (a) At what speed does particle #2 emerge from the collision? (b) What fraction of the original kinetic energy is lost during this process?A 1.0 kg mass with a speed of 4.5 m/s strikes a 2.0 kg mass at rest. For a completely inelastic collision, find: (a) The speed of the masses after the collision. (b) The change in kinetic energy. (c) The momentum after the collision.) 1. A system consists of a 2-kg object moving to the left at 6.0 m/s, and a 3.0 kg object moving to the right at 4.0 m/s. Which of the following statements in true? The total kinetic energy of the system is nonzero, and the total momentum of the system is zero The total kinetic energy of the system is zero, and the total momentum of the system is nonzero. The total momentum and total kinetic energy of the system are both zero The total momentum and total kinetic energy of the system are both nonzero
- R:38)During the collision between the ball and the racket, the velocity vector of the tennis ball is exactly reversed such that its speed is the same before and after the collision. Determine the speed of the ball assuming its mass to be 150 g. A nucleus A of mass 2 m moving with velocity 100 m/s collides inelastically with a stationary nucleus B of mass 10 m. After collision, the nucleus A travels at 90oto the original incident direction while B proceeds at an angle 37oto the original incident direction. a) Find the speeds of A and B after the collision.b) What fraction of the initial kinetic energy is gained or lost due to the collision? Two blocks having equal masses m1 = m2 = 10 kg are placed in contact on a surface inclined at an angle of 40ofrom the horizontal as shown in the figure below. The coefficient of static friction between the incline and the lower block is µs1 = 0.90 and the coefficient of kinetic friction is µk1 = 0.40. The respective coefficients between theincline and the…Particles are moving speeds of v₁ = 5.2 m/s. After the collision a+ and V₂=0 and m₂ = 2m₁. is observed to be moving mass mi f 90° relative to its direction Prior to e collision is elastic. an angle the Collis Eine a Suitable coordinate system and determ may final velocities (including direction) of each Partille, be useful to remember that cos(20)= Cos²-si- 9150