BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Measuring the speed of a bullet. A bullet of mass m is fired horizontally into a wooden block of mass M lying on a table. The bullet remains in the block after the collision. The coefficient of friction between the block and table is μ, and the block slides a distance d before stopping. Find the initial speed v0 of the bullet in terms of M, m, μ, g, and d.

To determine
The initial speed of the bullet in terms of M,m,μ,g and d.

Explanation

The kinetic frictional force when the block and the embedded bullet slides a distance is,

fk=μkn=μk(M+m)g

  • μk is the coefficient of kinetic friction
  • M is the mass of the block
  • m is the mass of the bullet
  • g is the acceleration due to gravity

The net work done on the block and the embedded bullet during the time is,

Wnet=(fkcos180°)d=KEfKEi=012(M+m)V2

  • V is the velocity of the combined mass
  • d is the distance moved by the combined mass

So, the velocity of the combined mass is,

V=2f1d(M+m)

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Which of the following values is found on food labels? Recommended Dietary Allowances Dietary Reference Intakes...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How can you be sure that giant stars really are Larger than main- sequence stars?

Horizons: Exploring the Universe (MindTap Course List)

What is meant by biological evolution?

Human Biology (MindTap Course List)

The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is i...

Physics for Scientists and Engineers, Technology Update (No access codes included)