### Problem Description:A bullet \((m = 5.00 \, \text{g})\) is shot through a wood block \((M = 1.00 \, \text{kg})\) suspended on a string \((L = 2.00 \, \text{m})\). The center of mass of the block rises a distance of \(h = 0.45 \, \text{cm}\).**Questions:**(a) During which interactions is energy conserved?(b) When is momentum conserved?(c) Find the speed of the bullet as it emerges from the block if its initial speed is \(400 \, \text{m/s}\).**Explanation of Concepts:**- **Energy Conservation:** In mechanics, the total energy is conserved when no external forces do work on the system. Here, consider when the bullet interacts with the block and when the block reaches the highest point.- **Momentum Conservation:** Momentum is conserved during a collision if no external forces act on the system. Analyze the interaction between the bullet and block.- **Speed Calculation:** Use the principles of energy and momentum conservation to find the final speed of the bullet.

Mass of bullet (m) = 5 g Mass of woodden block (m') = 1 kg Length of string (L) = 2 m h = 0.45 cm

Answered: A bullet (m 5.00 g) is shot through a…

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

A 480-kg car moving at 16.4 m/s hits from behind a 570-kg car movingat 13.3 m/s in the same direction. If the new speed of the heavier car is 14.0 m/s,(a) what is the speed of the lighter car after the collision, assuming that anyunbalanced forces on the system are negligibly small, and(b) what average power is dissipated during the collision if they collide for 1.4seconds?
A 2.64 -g bullet moving at 280 m/s enters and stops in an initially stationary 2.10−kg wooden block on a horizontal frictionless surface. (a) What's the speed of the bullet/block combination?(b) What fraction of the bullet's kinetic energy was lost in this perfectly inelastic collision? (c) How much work was done in stopping the bullet? (d) If the bullet penetrated 5.00 cm into the wood, what was the average stopping force?
A rocket of mass 1.7x104 kg accelerates at 215 m/s2 for 21 s from an initial speed of 5031 m/s. How much kinetic energy (in J) has the rocket gained?
A 130 lb person sitting in a 150 lb iceboat fires a gun, discharging a 2 oz bullet horizontally. If the bullet speed leaving the gun is 1200 ft/s, what will be the speed of the boat after the bullet is fired, if we assume no friction? The correct answer is 0.54 ft/s
Problem 6: A space vehicle of mass m=300 kg has a speed v=1000 m/s along the positive x-direction. At some instant, it separates into two pieces, with mass m1=100 kg and m2=200 kg. The first piece moves with a speed of 600 m/s at an angle of 300 relative to the x-axis. (a) The speed of the second piece is ________ (b) The kinetic energy of the second piece after the explosion is __________
A 30 kg box with a height of 0.230 meters is on top of a 0.5-meter-high table and is initially at rest. A 5kg projectile having a speed of 20 m/s was launched at the horizontal ground, 6.972 meters (horizontal distance) away from the nearest vertical wall of the box. When the projectile hit the vertical side of the box, it rebound at a speed of -11.143 m/s and the box developed a speed of 5.140 m/s. At what angle was the projectile launched?
Words cut off say 2 railroad cars
Current Attempt in Progress In the figure here, a stationary block explodes into two pieces L and R that slide across a frictionless floor and then into regions with friction, where they stop. Piece L, with a mass of 3.3 kg, encounters a coefficient of kinetic friction u = 0.45 and slides to a stop in distance d = 0.33 m. Piece R encounters a coefficient of kinetic friction µr = 0.52 and slides to a stop in distance de = 0.46 m. What was the mass of the block? HR – di Up Number i Unit eTextbook and Media GO Tutorial Save for Later Attempts: 0 of 8 used Submit Answer étv 80 DD F2 F3 F4 F6 FZ F8 F9 F10 F11 F5
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 11 g bullet is fired into the bob of a ballistic pendulum of mass 1.3 kg. When the bob is at its maximum height, the strings make an angle of 60° with the vertical. The length of the pendulum is 2.3 m. Find the speed of the bullet. m/s еВook
A gun fires a 21-gram bullet on a 1.8 kg wooden block hanging vertically at the end of string (The other end of the string is attached to a ceiling). The bullet embeds in the block, which swings upward a height of H. The speed of the bullet when leaving the gun is 250 m/s. Find H.
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

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS