Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q22E (page 264)

The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A 30 caliber bullet has a mass 0.00720kg and a speed of 601m/s relative to the muzzle when fired from a rifle that has mass 2.80kg. The loosely held rifle recoils at a speed of 1.85m/srelative to the earth. Find the momentum of the propellant gases in a coordinate system attached to the earth as they leave the muzzle of the rifle.

Short Answer

Expert verified

Thus,the momentum of the propellant gasesis0.85kgm/s

Step by step solution

01

Step 1:Given in the question:

Mass of bulletis m=0.00720kg.

Mass of rifleisM=2.80kg .

Speed of bullet when firedisV=601m/s

Speed of rifle recoilswhen firedisv=1.85m/s

02

Law of conservation of momentum:

Use the law of conservation of momentum which states that the momentum of the bodies before the collision is equal to the sum of the momentum of the bodies after the collision. After the collision, the bodies will move with a common velocity

03

 Step 3:Obtain the momentum of the system.

Use the conservation of momentum to obtain the momentum of the propellant gases:

P=-mV+Mv=-0.0072601+2.81.85=0.85

Hence,the momentum of the propellant gasesis0.85kgm/s

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

(a) The recommended daily allowance (RDA) of the trace metal magnesium is 410 mg/day for males. Express this quantity in µg/day. (b) For adults, the RDA of the amino acid lysine is 12 mg per kg of body weight. How many grams per day should a 75-kg adult receive? (c) A typical multivitamin tablet can contain 2.0 mg of vitamin B2 (riboflavin), and the RDA is 0.0030 g/day. How many such tablets should a person take each day to get the proper amount of this vitamin, if he gets none from other sources? (d) The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.

For a spherical planet with mass M, volume V, and radius R,derive an expression for the acceleration due to gravity at the planet’s surface, g, in terms of the average density of the planet, ρ=M/V, and the planet’s diameter, D=2R. The table gives the values of Dand gfor the eight major planets:

(a) Treat the planets as spheres. Your equation for as a function of and shows that if the average density of the planets is constant, a graph of versus will be well represented by a straight line. Graph as a function of for the eight major planets. What does the graph tell you about the variation in average density? (b) Calculate the average density for each major planet. List the planets in order of decreasing density, and give the calculated average density of each. (c) The earth is not a uniform sphere and has greater density near its center. It is reasonable to assume this might be true for the other planets. Discuss the effect this nonuniformity has on your analysis. (d) If Saturn had the same average density as the earth, what would be the value of at Saturn’s surface?

At what distance above the surface of the earth is the acceleration due to the earth’s gravity 0.980 m/s2 if the acceleration due to gravity at the surface has magnitude 9.8 m/s2?

Starting from the front door of a ranch house, you walk 60.0 m due east to a windmill, turn around, and then slowly walk 40.0 m west to a bench, where you sit and watch the sunrise. It takes you 28.0 s to walk from the house to the windmill and then 36.0 s to walk from the windmill to the bench. For the entire trip from the front door to the bench, what are your (a) average velocity and (b) average speed?

A cube of oak wood with very smooth faces normally floats in water. Suppose you submerge it completely and press one face flat against the bottom of a tank so that no water is under that face. Will the block float to the surface? Is there a buoyant force on it? Explain.
See all solutions

Recommended explanations on Physics Textbooks

Magnetism

Read Explanation

Engineering Physics

Read Explanation

Quantum Physics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Electrostatics

Read Explanation

Thermodynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free