A block of mass m slides along a frictionless surface with kinetic energy Ki. It collides with a block of mass 3m that is initially at rest, and the two blocks stick together and slide with total kinetic energy Af. What is the ratio Kf : K; ? 4m

A block of mass m slides along a frictionless surface with kinetic energy Ki. It collides with a block of mass 3m that is initially at rest, and the two blocks stick together and slide with total kinetic energy Af. What is the ratio Kf : K; ? 4m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 31P

See similar textbooks

Related questions

Q: A 4.80 g bullet is fired at 450 m/s toward a stationary 4.00 kg metal block causing the block to…

A: Given m=4.8g=mass of bullet M=4kg=mass of block u=450m/s=speed of bullet before collision…

Q: Three carts are moving on a frictionless horizontal track as shown in the figure. The 4.00 kg cart…

A: The momentum is conserved. that is total linear momentum before collision is equal to the total…

Q: a 600 gram banana sliding north on a frictionless table at 2.5 meters per second bounces of a 400…

Q: If a player can toss a 0.200-kg ball with as much momentum as a 2.00-g object moving with a speed of…

Q: You have two identical objects each object has a mass of m and they travel together at the speed v,…

A: Determine the total linear momentum.

Q: Two objects A and B with masses of 1.8kg and 4.2kg move in a frictionless horizontal surface. Object…

Q: A 81.8 g marble moving at 14.6 m/s approaches and collides head-on with a stationary 45.7 g marble.…

Q: A ball with mass 3 kg is travelling at the speed of 2 m/s along a straight line at 90 degrees from…

A: u=Initial velocity of the ball=2 m/sm=Mass of the ball=3 kgv=Final velocity of the ballF=Average…

Q: 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…

A: Mass of truck (M) = 1600 kg Mass of car (m) = 585 kg Initial velocity of truck (U) = 13.5 m/s…

Q: A 49 kg boy on roller skates moves with a speed of 4 m/s. He runs into a 41 kg girl on skates.…

A: Mass of a boy mb = 49 kg speed of a boy in roller skates v = 4 m/s mass of girl mg = 41 kg

Q: A 4.95 kg chunk of ice is sliding at 13.0 m/s on the floor of an ice-covered valley when it collides…

A: Mass of each chunk of ice (m) = 4.95 kg Initial speed of first chunk of ice (u) = 13 msInitial speed…

Q: A railroad car of mass 3.20 x 10* kg moving at 3.35 m/s collides and couples with two coupled…

A: Given, mass of the car, m1 = 3.20×104 kg speed of the car, v = 3.35 ms speed of the two rail car, v…

Q: Two objects A and B collide and stop after the collision. Object A is 19 kg with the velocity of 4.2…

A: Given, Mass of object A, MA = 19 kg Velocity of object A before collision, VA = 4.2 m/s Mass of…

Q: A 3,000 kg truck travelling at 50 km/hr strikes a stationary 1,000 kg car, locking the two vehicles…

Question

100%

6.
A block of mass m slides along a frictionless surface with kinetic energy K¡. It collides with a block of
mass 3m that is initially at rest, and the two blocks stick together and slide with total kinetic energy Af.
What is the ratio Kf : K; ?
4mt

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Given

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
Two identical particles, each of mass 1 000 kg, are coasting in free space along the same path, one in front of the other by 20.0 m. At the instant their separation distance has this value, each particle has precisely the same velocity of 800 m/s. What are their precise velocities when they are 2.00 m apart? Figure P13 74
The coefficient of friction between the block of mass ml = 3.00 kg and the surface in Figure P7.22 is k = 0.400. The system starts from rest. What is the speed of the ball of mass, m2 = 5.00 kg when it has fallen a distance h = 1.50 m? Figure P7.22
A mother pushes her son in a stroller at a constant speed of 1.52 m/s. The boy tosses a 56.7-g tennis ball straight up at 1.75 m/s and catches it. The boys father sits on a bench and watches. a. According to the mother, what are the balls initial and final momenta? b. According to the father, what are the balls initial and final momenta? c. According to the mother, is the balls momentum ever zero? If so, when? If not, why not? d. According to the father, is the balls momentum ever zero? If so, when? If not, why not?
The momentum of an object is increased by a factor of 4 in magnitude. By what factor is its kinetic energy changed? (a) 16 (b) 8 (c) 4 (d) 2 (e) 1
(a) What is the momentum of a garbage truck that is 1.20104 kg and is moving at 10.0 m/s ? (b) At what speed would an 8.00-kg trash can have the same momentum as the truck?
Figure P9.59a shows an overhead view of the configuration of two pucks of mass In on frictionless ice. The pucks are tied together with a string of length 1' and negligible mass. At time t = 0, a constant force of magnitude F begins to pull to the right on the center point of the string. At time t, the moving pucks strike each other and stick together. At this time, the force has moved through a distance 4 and the pucks have attained a speed v (Fig. P9.59b). (a) What is v in terms of F, d, e, and in? (b) How much of the energy transferred into the system by work done by the force has been transformed to internal energy?
A 1200-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 9 000-kg truck moving in the same direction at 20.0 m/s (Fig. P6.44). The velocity of the car right after the collision is 18.0 m/s to the east, (a) What is the velocity of the truck right after the collision? (b) How much mechanical energy is lost in the collision? Account for this loss in energy. Figure P6.44
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
You hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3 (e) 9
The velocity of a 10-kg object is given by v=5t2i(7t+2t3)j, where if t is in seconds, then v will be in meters per second. a. What is the net force on the object as a function of time? b. What is the momentum of the object when t = 15.0 s?
In a “Top Fail” video (https://openstaxcollege.org/l/21topfailvideo), two women run at each other and collide by hitting exercise balls together. If each woman has a mass of 50 kg, which includes the exercise ball, and one woman runs to the right at 2.0 m/s and the other is running toward her at 1.0 m/s, (a) how much total kinetic energy is there in the system? (b) If energy is conserved after the collision and each exercise ball has a mass of 2.0 kg, how fast would the balls fly off toward the camera?