### Problem StatementA 2 kg block is moving at 5 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45° frictionless inclined plane, as shown in the diagram below. Calculate the maximum distance \( L \) that the two blocks travel up the incline.### Diagram ExplanationThe diagram illustrates two stages of the blocks' movement:1. **Pre-Collision Movement:** - A 2 kg block is shown moving horizontally to the right at a speed of 5 m/s. - A second 2 kg block is shown at rest on the same frictionless surface.2. **Post-Collision Movement:** - After the collision, the two blocks stick together and move as one unit. - This combined block then slides up a frictionless inclined plane that makes a 45° angle with the horizontal surface. - The length \( L \) represents the maximum distance the blocks travel up the incline.### Key Concepts for Solution- Conservation of Momentum: Since the surface is frictionless, momentum is conserved during the collision.- Energy Conservation: The kinetic energy of the blocks is converted into gravitational potential energy as they move up the incline.### Steps to Solution1. **Calculate the velocity after collision using conservation of momentum:** \[ m_1 v_1 + m_2 v_2 = (m_1 + m_2) v_f \] where \( m_1 = 2 \, \text{kg} \), \( v_1 = 5 \, \text{m/s} \), \( m_2 = 2 \, \text{kg} \), and \( v_2 = 0 \, \text{m/s} \).2. **Convert the kinetic energy of the combined block after collision into gravitational potential energy to find the maximum height \( h \):** \[ \frac{1}{2} (m_1 + m_2) v_f^2 = (m_1 + m_2) g h \] where \( g = 9.8 \, \text{m/s}^2 \).3. **Relate the height \( h \) to the distance \( L \) up the incline using trigon

Name: ### Problem StatementA 2 kg block is moving at 5 m/s along a friction
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: ### Problem StatementA 2 kg block is moving at 5 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45° frictionless inclined plane,

Write the given values with the suitable variables. m=2 kgu1=5 m/su2=0 m/sθ=45° Here, m, u1, u2, and…

Science

Physics

(b) A 2 kg block is moving at 5 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45° frictionless inclined plane, as shown in below. Calculate the maximum distance L that the two blocks travel up the incline. 5 m/s = 45°

(b) A 2 kg block is moving at 5 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45° frictionless inclined plane, as shown in below. Calculate the maximum distance L that the two blocks travel up the incline. 5 m/s = 45°

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

B5
2.00 kg and m2 = 4.40 kq are released from rest at a height of h 5.30 m on a frictionless track as shown in the figure below. When they meet on the level portion of the track, they undergo a head-on, elastic collision. Determine the Two blocks of masses m, maximum heights to which mi and m, rise on the curved portion of the track after the collision hm1 hm2= т-
A 10 kg ball of putty moving to the right has a head-on inelastic collision with a 1 kg putty ball moving to the left. If the combined blob doesn't move just after the collision, what can you conclude about the relative speeds of the balls before they collided?Speed of 10 kg ball = _ ✕ speed of 1 kg ball.
A 2000 kg car moving east at 10.0 m/s collides with a 3000 kg car moving north. The cars stick together and move as a unit after the collision at an angle of 40.0° north of east. Find (a) the speed of the two cars after the collision and (b) the speed of the 3000 kg car before the collision.
An Amazon package of mass 2 kg is released from rest at an Amazon warehouse loading dock and slides down a 3.0-m-high, frictionless chute to a waiting truck. Amazon warehouse workers have no breaks, but the truck driver really needed to use the restroom, so he sneaked out without having removed the previous package, of mass m, from the bottom of the chute. Suppose the packages stick together. If their common speed after the collision is 3 meters per second, what is the mass of the package at the bottom of the chute?
A 2.0-g particle moving at 7.8 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 m/s 1.0 g particle 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 m/s 10.0 g particle m/s (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) J In which case does the incident particle lose more kinetic energy? case (a)case (b)
A 29-g rifle bullet traveling 190 m/s embeds itself in a 3.6-kg pendulum hanging on a 2.7-m- long string, which makes the pendulum swing upward in an arc. (a) Calculate velocity of block plus bullet after collision. (b) Determine the vertical height, h of the pendulum's maximum displacement. m M VM = 0 M+ m (a) (b)
A billiard ball moving at 5.20 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.67 m/s at an angle of 26.0° with respect to the original line of motion. Assuming an elastic collision (and ignoring friction and rotational motion), find the struck ball's velocity after the collision. magnitude direction 1.56 × Check the initial and final kinetic energies. You will find that your final kinetic energy is not equal to the initial kinetic energy. m/s ° (with respect to the original line of motion)
Soru E (5 Puan) While a disk with a mass of ma=5 kg travels at VA=4 m/s speeds in the +x direction, it collides with another disk with a mass of mg=2 kg on its way. After the collision, if disk A moves with a speed of V'A=2 m/s, making an angle of 0=37° degrees with V= 0 the coming direction, what angle (4) will disk B make with the x-axis after the collision? B (sin53°=cos37°=0,8, sin37°=cos53°=0,6). -63,43 -26,56 63,43 53 26,56
A 5 kg cart, cart A, moves with v=3m/s and collides with another 5 kg cart, cart B, head on at rest. Neglecting air resistance and friction, do the following: Find the final velocity of the carts if the collision is perfectly inelastic. Find the linear momentum of each car before and after the collision if it is a perfectly inelastic collision. Find the kinetic energy before and after the collision if is perfectly inelastic. If the collision were elastic, what would be their final velocities? What would be the kinetic energy of each before and after the collision?
A 1.10-kg wooden block rests on a table over a large hole as shown. A 3.70 x 102 kg bullet is fired with an initial velocity v = 591 m/s upward into the bottom of the block, collides inelastically with it, and remains embedded in the block after the collision. To what maximum height does the block-bullet system rise after the collision? {consider a completely/perfectly inelastic collision and conservation of energy 'system'} 08.33 m O 12.0 m O 29.8 m O 18.9 m O22.1 m 4. LE B M command command option
In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then collides with stationary block 2, which has mass m2 = 3m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction is μk and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic? Express your answer in terms of the variables given and g.