(2) A block with mass m is sliding with speed vo on a surface that is so slippery it can be considered to befrictionless. The sliding block collides with a second stationary block with mass 4m. Both blocks sticktogether and continue sliding with speed v. Take both blocks to be the "system" and assume that no netexternal force acts on it so the momentum of the system is conserved (constant).(a) What is vin terms of vo? (Hint: Use conservation of momentum.) [answer: v=v0/5](b) What is the initial kinetic energy of the system (K) in terms of m and vo? [answer: Ki = ¹/2mv0²](c) What is the final kinetic energy of the system (K) expressed as a fraction of Ki? [answer: K₂= K₂](d) What is the change in kinetic energy of the system (AK) expressed as a fraction of Ki?[answer: AK = - K;](e) By what factor does the kinetic energy of the system change during the collision? That is, what is theratio Kf / K₁? [answer: = 1, or Kf = K./5, i.e., the kinetic energy decreases by a factor of 5.]Ki(f) What percentage of Ki is lost to heat/sound energy during the collision? [answer: 80%](g) How much heat/sound energy (Q) is produced during the collision, expressed as a fraction of Ki?[answer: Q = K₂]

Name: (2) A block with mass m is sliding with speed vo on a surface that is
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: (2) A block with mass m is sliding with speed vo on a surface that is so slippery it can be considered to befrictionless. The sliding block collides with a second stationary block with mass 4m. Both blocks sticktogether and continue sliding with spe

As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Science

Physics

(2) A block with mass m is sliding with speed vo on a surface that is so slippery it can be considered to be frictionless. The sliding block collides with a second stationary block with mass 4m. Both blocks stick together and continue sliding with speed v. Take both blocks to be the "system" and assume that no net external force acts on it so the momentum of the system is conserved (constant). (a) What is vin terms of vo? (Hint: Use conservation of momentum.) [answer: v=v0/5] (b) What is the initial kinetic energy of the system (K) in terms of m and vo? [answer: K₁=½/2 mv0²] (c) What is the final kinetic energy of the system (K) expressed as a fraction of Ki? [answer: K; = - K;] (d) What is the change in kinetic energy of the system (AK) expressed as a fraction of Ki? [answer: AK = -K;) (e) By what factor does the kinetic energy of the system change during the collision? That is, what is the ratio K+/ K₁? [answer: K=1, or Kf=K₁/5, i.e., the kinetic energy decreases by a factor of 5.]

(2) A block with mass m is sliding with speed vo on a surface that is so slippery it can be considered to be frictionless. The sliding block collides with a second stationary block with mass 4m. Both blocks stick together and continue sliding with speed v. Take both blocks to be the "system" and assume that no net external force acts on it so the momentum of the system is conserved (constant). (a) What is vin terms of vo? (Hint: Use conservation of momentum.) [answer: v=v0/5] (b) What is the initial kinetic energy of the system (K) in terms of m and vo? [answer: K₁=½/2 mv0²] (c) What is the final kinetic energy of the system (K) expressed as a fraction of Ki? [answer: K; = - K;] (d) What is the change in kinetic energy of the system (AK) expressed as a fraction of Ki? [answer: AK = -K;) (e) By what factor does the kinetic energy of the system change during the collision? That is, what is the ratio K+/ K₁? [answer: K=1, or Kf=K₁/5, i.e., the kinetic energy decreases by a factor of 5.]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Can any real collision ever be truly perfectly elastic? Why or why not? (You should think about this in two ways: first consider what effects of the environment surrounding the collision might have on energy and momentum conservation; second, consider the objects themselves – how must an object react to a collision in order to be considered "perfect"?).
To apply shock loading to an artillery shell, a 20-kg pendulum A is released from a known height and strikes impactor B at a known velocity v0 . Impactor B then strikes the 1-kg artillery shell C . Knowing the coefficient of restitution between all objects is e, determine the mass of B to maximize the impulse applied to the artillery shell C.
An acrobatic buccaneer swings from one rope to another in the rigging of a pirate ship. As she grasps the rope, her mass is m, 63.5 kg; knots on the rope make the rope's effective mass m, 1.50 kg. From the height %D she grabs the rope, she swings up a further distance of 1.50 m. Assuming that her collision with the rope is perfectly inelastic, answer the following questions: {Note: Treat as a ballistic pendulum problem!} mehanical a) Does the buccaneer's collision with the rope conserve her-kietie en- ergy? {Y/N?} b) Neglecting any energy losses due to friction, air drag, etc., determine the velocity of the buccaneer + rope system right after she grabs the rope in m/s. {Assume a closed system, thus Conservation of Energy} c) Is it possible to calculate the buccaneer's initial speed before she grabbed the rope from the information given? {Y/N?}
a South bound railroad car with mass of 13,000kg moving at 25 m/s collides and couples with a North bound second of mass 20,000kg moving at 15 m/s. What is the magnitude and direction of the common velocity of the cars after this collision>?
A child sits stationary at one end of a long trolley moving uniformly with a speed V on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the CM of the (trolley + child) system?
For an isolated system where two masses collide in two dimensions (2D), check all TRUE statements: Piy = Pfy J = 0, since the x and y components cancel each other out. If the masses collide in 2D, the collision must be inelastic. Pfx =Pix If the collision is inelastic, the final momentum, Pf, can be derived by the vector addition of the momentum vectors of the two masses prior to collision.
Two carts on an air track have the same mass and speed andare traveling towards each other. If they collide and sticktogether, find (a) the total momentum and (b) total kineticenergy of the system. (c) Describe a different colliding systemwith this same final momentum and kinetic energy.
A system consists of a 4 kg block moving with velocity 14, 13, 0 m/s and a 5 kg block moving with velocity m/s. (a) What is the momentum of this two-block system? Ptotal (36,77,0) kg. m/s = (b) Next, due to interactions between the two blocks, each of their velocities change, but the two-block system is nearly isolated from the surroundings. Now what is the momentum of the two-block system? Ptotal kg. m/s X
Vahé and Nicolás, both with mass M, are playing catch with a football of mass m on the frictionless surface of a frozen pond. Since they're physics professors and not professional football players, they can only throw the football with a speed vo be only in terms of m, M, and vo- relative to themselves. All of your answers below should (а) Relative to a stationary observer on the surface of the pond, what is the speed v, with which the football is moving after it is Vahé throws the ball to his right, toward Nicolás. m M V |NM thrown? (b) Nicolás catches the ball. What is the speed v, with which Nicolás and the ball are moving after he catches the ball?
A cannon of mass M fires a projectile of mass m. The energy liberated in firing is E. Assume the projectile is discharged horizontally and that the cannon is mounted on wheels of a negligible mass. Using the fact that the energy E is taken up by both cannon and projectile and that momentum is conserved in the firing, do the following: A) Find the velocity of the projectile in terms of the masses and the energy E. B) By writing the velocity of the recoiling cannon in terms of the velocity of the projectile, find a relationship between the energy liberated, E, and the energy of the projectile. C) Explain what happens as M gets very large compared to m.
(b) A particle of unit mass moving in one dimension obeys the equation of motion x = (i) Show that i2 – e" is a constant of the motion. (ii) At t = 0 the particle is at x = 0 and at rest, i.e. x(0) = ¿(0) = 0. Show that the particle reaches x = +o at finite t > 0. Hint: use the result of part (i) to write the time taken to reach x = +0 as an integral. (iii) What is a suitable Lagrangian for this system?
A playground ride consists of a disk of mass M=48 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v=2.8 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including the axle), from just before to just after impact. (Assume the child is initially moving in the positive direction. Indicate the direction with the sign of your answer.)