two balls, m1= 2 kg and m2= 5 kg, can slide without friction on a rod. a spring with a rigidity coefficient of k= 1000 N/m was connected to the ball with a mass of m2. since v1= 14 m/s and vz= 0; a) find the maximum compression that will occur in the spring when the balls collide. b) find the final speed of the balls after the collision. m, m2
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- A 326- g stationary air-track glider is attached to the end of an air track by a compressible spring with spring constant k = 7.22 N/m (see the figure). A 163- g glider moving at 1.27 m/s collides elastically with the stationary glider. How far does the spring compress? Assume that the air track is very much heavier than the gliders.A pendulum of mass m and length is initially at rest at an angle 8. The pendulum then swings down and collides elastically with a stationary block of mass M. The block slides along the surface and eventually stops when it encounters a rough patch of length |Ad|. Assume that m = 1.7kg, L = 0.80m, 0 = 67, M 2.8kg and Ad = 0.55m. a) Calculate the speed of the block immediately after the elastic collision. b) What is the coefficient of kinetic friction of the rough patch?A 26-g rifle bullet traveling 240 m/s embeds itself in a 3.7-kg pendulum hanging on a 2.6-m-long string, which makes the pendulum swing upward in an arc. (Figure 1) a)Determine the vertical component of the pendulum's maximum displacement. b)Determine the horizontal component of the pendulum's maximum displacement.
- Two masses are initially at rest, then mass m is released. a) If the collision is perfectly inelastic, what is the speed of m after the collision? answer: 2.6m/s b) If the collision is not inelastic, to what height does the package of mass m rebound? answer: 33cm Please show how.A truck with a mass of 1600 kg and moving with a speed of 13.5 m/s rear-ends a 585 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. Find the speed of both vehicles after the collision in meters per second. vcar =_______________ m/s vtruck = _________________ m/sA bullet (20. g) shot with a speed of 800. m/s hits an oak tree and sticks 4.00 cm inside it. What is the average force acting on the bullet from the tree?
- m1 Vii m₂ 8 v2f x 4. A proton is accelerated in a particle accelerator and collides elastically with a stationary proton in a cooled hydrogen target. 1.672 x 10-27 kg m₁ = m₂ = V₁i = 8.2 x 105 m/s 0₁ = 30° 0₂ 60° V₂i = 0 m/s a.) Write out the conservation equations for this collision geometry. b.) Solve for the velocities of the two protons after the collision: and v₂f. V₁f c.) Compute the velocity of the center of mass.A 6.0kg object moving 5.0m/s collides with and sticks to a 2.0kg object. After the collision the composite object is moving 2.0m/s in a direction opposite to the initial direction of motion of the 6.0kg object. Determine the speed of the 2.0kg object before the collision.A 40 kg ball moving to the right at 5.0m/s collides head-on with the stationary 2.0 kg ball. If the collision is elastic, determine the direction and speed of each ball after the collision.
- A pendulum of mass m and length is initially at rest at an angle 9. The pendulum then swings down and collides elastically with a stationary block of mass M. The block slides along the surface and eventually stops when it encounters a rough patch of length |Ad. Assume that m = 1.7kg, L = 0.80m, 0 = 67°, M = 2.8kg and Ad = 0.55m. a) Calculate the speed of the block immediately after the elastic collision. b) What is the coefficient of kinetic friction of the rough patch?A 18 kg canoe moving to the left at 12 m/s makes an elastic head-on collision with a 15 kg raft moving to the right at 14 m/s. After the collision, the raft moves to the left at 13.2 m/s. Disregard any effects of the water. a) Find the velocity of the canoe after the collision. b) Verify your answer by calculating the total kinetic energy before and after the collision.A 2.0-g particle moving at 5.8 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. (a) Find the speed of each particle after the collision. 2.0 g particle 1.93 m/s 1.0 g particle 3.86 X m/s (b) Find the speed of each particle after the collision if the stationary particle has a mass of 10 g. 2.0 g particle 1.9 X m/s m/s 10.0 g particle (c) Find the final kinetic energy of the incident 2.0-g particle in the situations described in parts (a) and (b). KE in part (a) J KE in part (b) In which case does the incident particle lose more kinetic energy? case (a) case (b)