Problem 6.19 A particle of mass 5 kg and initial speed 5 m/s undergoes a head-on elastic collision with a particle of mass 3 kg with initial speed -3 m/s where the negative sign indicates that it is approaching the first particle. Deter- mine the final speeds of the two particles.
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- A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.20 m, as shown in Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound?A cart of mass 33 is moving at a velocity of 16 in the positive directions when it collides with a cart of mass 13.0 moving at a velocity of 6.8 in the opposite direction. If the carts experience a perfectly elastic collision, calculate the speed of the combined mass after the collision.Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at vo- 7.75 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of e = 39.0° with the horizontal axis while the green disk makes an angle of 9 = 51.0° with this axis'as in Figure b. Determine the speed of each disk after the collision. Vof= m/s Vof- m/s After the collision Before the collision
- A cue ball initially moving at 2 m/s strikes a stationary eight ball of the same size and mass. After the collision, the cue ball's final speed is 1 m/s at an angle of 0 with respect to its original line of motion. О Before 2 m/s 1 m/s 0 After Find the eight ball's speed after the col- lision. Assume an elastic collision (ignoring friction and rotational motion). Answer in units of m/s. Answer in units of m/s.A particle of m1=0.30 kg slides along the right axis on a frictionless floor with a speed of 2.0 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2=0.40 kg. When particle 2 then reaches a wall at xw = 72 cm, it bounces from the wall with no loss of speed. At what position on the x axis (in cm) does particle 2 collide with particle 1?A particle of mass m1 undergoes a one-dimensional elastic collision with a particle of mass m2 = 2m1 that is initially at rest. If particle 2 recoils at speed v2 = 1200 m/s, what is the speed of particle 1 before the collision?
- In the figure, particle 1 of mass m1 = 3.4 kg slides rightward along an x axis on a frictionless floor with a speed of 4.0 m/s.When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 4.5 kg. When particle 2 then reaches a wall at xw = 73 cm, it bounces from the wall with no loss of speed. At what position on the x-axis does particle 2 then collide with particle 1?A 2.00-g particle moving at 5.40 m/s makes a perfectly elastic head-on collision with a resting 1.00-g object. (Assume the 2.00-g particle is moving in the positive direction before the collision. Indicate the direction with the sign of your answer.) (a) Find the velocity of each particle after the collision. 2.00-g particle 1.00-g particle m/s m/s (b) Find the velocity of each particle after the collision if the stationary particle has a mass of 10.0 g. 2.00-g particle 10.0-g particle m/s m/s (c) Find the final kinetic energy of the incident 2.00-g particle in the situations described in parts (a) and (b). KE in part (a) KE in part (b) J J In which case does the incident particle lose more kinetic energy? case (a) case (b)Two objects, both with a mass of 1.92 kg are sliding across a horizontal, frictionless surface toward each other. If mass 1 has an initial velocity of 3.79 m/s i and mass 2 has an initial velocity of -2.39 m/s i, what is the change in total kinetic energy if they undergo a perfectly inelastic collision? Assume that total momentum is conserved.
- A puck of mass miis moving along a frictionless table at speed viin the +x- direction when it is hit simultaneously by 2lumps of clay, each of mass m2. Both lumps are traveling at a speed of v2when they hit the puck. One is traveling in the -x-direction, while the other one is dropped from above the table in the -y-direction. The puck and lumps of clay stick together. What is the speed of the puck and clay after the collision? Express your answer in terms of mim2v1and v2only. HINT: Write down the initial momentum of the puck m1. In which direction(s) is momentum conserved(i.e. in which direction(s) is there no net external force? Keep in mind that the table can provide an external normal force).Add the momenta of the lump(s) of clay for which momentum is conserved to your initial momentum. At the end of the day, the puck and both lumps of clay stick together so the final momentum is pf=(m1+m2+m2)vf. Set the initial and final momenta equal to each other and solve forvf.An atomic nucleus of mass m traveling with speed v (along the +X-axis) collides elastically with a target particle of mass 4m (initially at rest). The atomic nucleus scatters at 90° and the target scatters at 45° (see the figure). What fraction of initial kinetic energy of the nucleus is transferred to the target particle (Krarget/Koriginal) ? (hint: which means the Kinetic energy of the scattered target over the initial Kinetic energy of the nucleus) 0403100 nucleus 90° m. m, m2 4m ma 6 nucleus 450 target thgetA block is released from rest at the top of the frictionless ramp shown in the figure. Mass 1 is 1.53 kg and it is released from a height of 1.01 m above the table. The block collides elastically with block 2, initially at rest. Mass 2 is 4.14 kg. How far from the base of the table does mass 1 eventually land if the table has a height of 2.54 m? (Take the initial direction of block one as positive.)