Vector Mechanics For Engineers
Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
bartleby

Videos

Question
Chapter 13.3, Problem 13.149P
To determine

The initial speed of the bullet v0.

Expert Solution & Answer
Check Mark

Answer to Problem 13.149P

The initial speed of the bullet is v0=769.3ft s1__.

Explanation of Solution

Given information:

Weight of the bullet, mB=0.5 oz

Weight of A and C, mA=mC=3 lb

Coefficient of friction between the blocks and the plane is μk=0.25.

Vector Mechanics For Engineers, Chapter 13.3, Problem 13.149P , additional homework tip  1

General impulse-momentum principal,

mv1+Imp12=mv2

Calculation:

Consider the motion of a block under friction,

Vector Mechanics For Engineers, Chapter 13.3, Problem 13.149P , additional homework tip  2

Applying, F=ma

R=mg

F=ma

Since, friction force, F=μR ,

μR=maμmg=ma

a=μg

Applying v2=u2+2aS ,

02=u2+2×(μg)S

u=2μgS...........(1)

Applying v=u+at

0=2μgS+(μg)t

t=2Sμg............(2)

Consider block A and bullet,

Impulse −momentum diagram,

Vector Mechanics For Engineers, Chapter 13.3, Problem 13.149P , additional homework tip  3

Apply equation (1) considering the motion of A block,

vA=2μkgS1vA=2×0.25×32.174ft s2×0.5 ftvA=2.84ft s1

Apply equation (2) considering the motion of A block,

Δt1=2S1μkg

Δt1=2×0.5ft0.25×32.174ft s2Δt1=0.35 s

mB=0.5 oz=0.5 oz×0.0625 lb oz132.174ft s2=9.71×104 lb s2ft1

mA=3 lb 32.174ft s2=0.0932 lb s2ft1

Applying general impulse-momentum principal,

mv1+Imp12=mv2

mBv0F1Δt1=mBv1+mAvA

Since, F1=μkmAg ,

mBv0μkmAgΔt1=mBv1+mAvA

v0=mBv1+mAvA+μkmAgΔt1mB..........(3)

Consider block C and bullet,

Impulse −momentum diagram,

Vector Mechanics For Engineers, Chapter 13.3, Problem 13.149P , additional homework tip  4

Apply equation (1) considering the motion of A block,

vC=2μkgS1vC=2×0.25×32.174ft s2×412 ftvC=2.32ft s1

Apply equation (2) considering the motion of A block,

Δt2=2S2μkg

Δt2=2×412 ft0.25×32.174ft s2Δt2=0.29 s

mC=3 lb 32.174ft s2=0.0932 lb s2ft1

Applying general impulse-momentum principal,

mv1+Imp12=mv2

mBv1F2Δt2=0

mBv1μk(mC+mB)gΔt2=0

v1=μk(mC+mB)gΔt2mB

v1=0.25×(3 lb +0.03215 lb )×0.29 s9.71×104 lb s2ft1

v1=226.4ft s1

From equation (3),

v0=mBv1+mAvA+μkmAgΔt1mB

v0=(9.71×104 lb s2ft1×226.4ft s1)+(0.0932 lb s2ft1×2.84ft s1)+(0.25×3lb×0.35 s)9.71×104 lb s2ft1

v0=769.3ft s1

Conclusion:

Thus, the initial speed of the bullet is v0=769.3ft s1__.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Blocks A and B each weigh 0.8 lbs. And Block C weighs 2.4 lbs. The coefficient of static friction between the horizontal plane and each block is 0.3. Block A initially moves at V0 = 15 ft/s and blocks B and C are at rest. After A hits B and B hits C, the blocks stop at the positionsshown in Figure 2. Determine a) the coefficient of restitution between A and B and the coefficient of restitution between B and C, b) the distance x that block C moves after colliding with B.
The Skier starts from rest at point A. Determine the horizontal distance X traveled after he leaves the ramp and the landing speed. Neglect friction. The Skier starts from rest at point A. Determine the horizontal distance traveled after he leaves the ramp and the landing speed. Neglect friction. X=10.2 m, vc=24.2 ms   X=7.81 m, vc=18.1 ms     X=13.1 m, vc=24.9 ms     X=8.96 m, vc=−21.2 ms
(a) Two blocks are joined by an inextensible cable as shown in Figure. If the system is released from rest, determine the velocity of block A after it has moved 2 m by using the data given. Assume that the coefficient of kinetic friction between block A and the plane is ?k = 0.25 and that the pulley is weightless and frictionless.

Chapter 13 Solutions

Vector Mechanics For Engineers

Ch. 13.1 - A 1.4-kg model rocket is launched vertically from...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - A package is thrown down an incline at A with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - A 1200-kg trailer is hitched to a 1400-kg car. The...Ch. 13.1 - A trailer truck enters a 2 percent uphill grade...Ch. 13.1 - The subway train shown is traveling at a speed of...Ch. 13.1 - The subway train shown is travelling at a speed of...Ch. 13.1 - Prob. 13.19PCh. 13.1 - The system shown is at rest when a constant 30-lb...Ch. 13.1 - Car B is towing car A at a constant speed of 10...Ch. 13.1 - The motor applies a constant downward force F=1050...Ch. 13.1 - The motor applies a constant downward force F to...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg....Ch. 13.1 - Four 15-kg packages are placed as shown on a...Ch. 13.1 - A 3-kg block rests on top of a 2-kg block...Ch. 13.1 - Solve Prob. 13.26. assuming that the 2-kg block is...Ch. 13.1 - People with mobility impairments can gain great...Ch. 13.1 - A 7.5-lb collar is released from rest in the...Ch. 13.1 - A 10-kg block is attached to spring A and...Ch. 13.1 - A 5-kg collar A is at rest on top of, but not...Ch. 13.1 - A 0.75-lb brass (nonmagnetic) block A and a 0.5-lb...Ch. 13.1 - An uncontrolled automobile travelling at 65 mph...Ch. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Nonlinear springs are classified as hard or soft,...Ch. 13.1 - A meteor starts from rest at a very great distance...Ch. 13.1 - Express the acceleration of gravity gh, at an...Ch. 13.1 - Prob. 13.38PCh. 13.1 - The sphere at A is given a downward velocity v0 of...Ch. 13.1 - The sphere at Ais given a downward velocity v0and...Ch. 13.1 - A bag is gently pushed off the top of a wall at A...Ch. 13.1 - A roller coaster starts from rest at A, rolls down...Ch. 13.1 - In Prob. 13.42. determine the range of values of h...Ch. 13.1 - A small block slides at a speed v on a horizontal...Ch. 13.1 - A small block slides at a speed v=8 ft/s on a...Ch. 13.1 - A chairlift is designed to transport 1000 skiers...Ch. 13.1 - Prob. 13.47PCh. 13.1 - The velocity of the lift of Prob. 13.47 increases...Ch. 13.1 - (a) A 120-lb woman rides a 15-lb bicycle up a...Ch. 13.1 - Prob. 13.50PCh. 13.1 - Prob. 13.51PCh. 13.1 - Prob. 13.52PCh. 13.1 - Prob. 13.53PCh. 13.1 - The elevator E has a weight of 6600 lb when fully...Ch. 13.2 - Two small balls A and B with masses 2m and m,...Ch. 13.2 - A small blocks is released from rest and slides...Ch. 13.2 - Prob. 13.55PCh. 13.2 - A loaded railroad car of mass m is rolling at a...Ch. 13.2 - A 750-g collar can slide along the horizontal rod...Ch. 13.2 - A 2-lb collar C may slide without friction along a...Ch. 13.2 - Solve Prob. 13.58 assuming the spring CD has been...Ch. 13.2 - A 500-g collar can slide without friction on the...Ch. 13.2 - For the adapted shuffleboard device in Prob 13.28....Ch. 13.2 - An elastic cable is to be designed for bungee...Ch. 13.2 - Prob. 13.63PCh. 13.2 - Prob. 13.64PCh. 13.2 - Prob. 13.65PCh. 13.2 - A thin circular rod is supported in a vertical...Ch. 13.2 - Prob. 13.67PCh. 13.2 - A spring is used to stop a 50-kg package that is...Ch. 13.2 - Solve Prob. 13.68 assuming the coefficient of...Ch. 13.2 - Prob. 13.70PCh. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 13.2 - Prob. 13.72PCh. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - An 8-oz package is projected upward with a...Ch. 13.2 - If the package of Prob. 13.74 is not to hit the...Ch. 13.2 - A small package of weight W is projected into a...Ch. 13.2 - Prob. 13.77PCh. 13.2 - Prob. 13.78PCh. 13.2 - Prob. 13.79PCh. 13.2 - Prob. 13.80PCh. 13.2 - A force F acts on a particle P(x, y) which moves...Ch. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - (a) Determine the kinetic energy per unit mass...Ch. 13.2 - Prob. 13.86PCh. 13.2 - Prob. 13.87PCh. 13.2 - How much energy per pound should be imparted to a...Ch. 13.2 - Knowing that the velocity of an experimental space...Ch. 13.2 - Prob. 13.90PCh. 13.2 - Prob. 13.91PCh. 13.2 - Prob. 13.92PCh. 13.2 - Prob. 13.93PCh. 13.2 - Prob. 13.94PCh. 13.2 - Prob. 13.95PCh. 13.2 - Prob. 13.96PCh. 13.2 - Prob. 13.97PCh. 13.2 - Prob. 13.98PCh. 13.2 - Prob. 13.99PCh. 13.2 - Prob. 13.100PCh. 13.2 - Prob. 13.101PCh. 13.2 - Prob. 13.102PCh. 13.2 - Prob. 13.103PCh. 13.2 - Prob. 13.104PCh. 13.2 - Prob. 13.105PCh. 13.2 - Prob. 13.106PCh. 13.2 - Prob. 13.107PCh. 13.2 - Prob. 13.108PCh. 13.2 - Prob. 13.109PCh. 13.2 - Prob. 13.110PCh. 13.2 - Prob. 13.111PCh. 13.2 - Prob. 13.112PCh. 13.2 - Prob. 13.113PCh. 13.2 - Prob. 13.114PCh. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass mdescribes a circular orbit...Ch. 13.2 - Prob. 13.117PCh. 13.2 - Prob. 13.118PCh. 13.3 - A large insect impacts the front windshield of a...Ch. 13.3 - The expected damages associated with two types of...Ch. 13.3 - The initial velocity of the block in position A is...Ch. 13.3 - Prob. 13.F2PCh. 13.3 - Prob. 13.F3PCh. 13.3 - Car A was traveling west at a speed of 15 m/s and...Ch. 13.3 - Prob. 13.F5PCh. 13.3 - A 35.000-Mg ocean liner has an initial velocity of...Ch. 13.3 - Prob. 13.120PCh. 13.3 - A sailboat weighing 980 lb with its occupants is...Ch. 13.3 - A truck is hauling a 300-kg log out of a ditch...Ch. 13.3 - The coefficients of friction between the load and...Ch. 13.3 - Steep safety ramps are built beside mountain...Ch. 13.3 - Baggage on the floor of the baggage car of a...Ch. 13.3 - Prob. 13.126PCh. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - Prob. 13.129PCh. 13.3 - Prob. 13.130PCh. 13.3 - Prob. 13.131PCh. 13.3 - The motor applies a constant downward force F=550...Ch. 13.3 - Prob. 13.133PCh. 13.3 - Prob. 13.134PCh. 13.3 - A 60-g model rocket is fired vertically. The...Ch. 13.3 - Prob. 13.136PCh. 13.3 - A crash test is performed between an SUV A and a...Ch. 13.3 - Prob. 13.138PCh. 13.3 - Prob. 13.139PCh. 13.3 - A 1.6 2-oz golf ball is hit with a golf club and...Ch. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - Prob. 13.142PCh. 13.3 - Prob. 13.143PCh. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - A 120-ton tugboat is moving at 6 ft/s with a slack...Ch. 13.3 - At an intersection, car B was traveling south and...Ch. 13.3 - The 650-kg hammer of a drop-hammer pile driver...Ch. 13.3 - Prob. 13.148PCh. 13.3 - Prob. 13.149PCh. 13.3 - Prob. 13.150PCh. 13.3 - Prob. 13.151PCh. 13.3 - Prob. 13.152PCh. 13.3 - Prob. 13.153PCh. 13.3 - In order to test the resistance of a chain to...Ch. 13.4 - A 5 -kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - F6 A sphere with a speed v0 rebounds after...Ch. 13.4 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 13.4 - Prob. 13.F8PCh. 13.4 - Prob. 13.F9PCh. 13.4 - Block A of mass mA strikes ball B of mass mB with...Ch. 13.4 - Two steel blocks slide without friction on a...Ch. 13.4 - Prob. 13.156PCh. 13.4 - One of the requirements for tennis balls to be...Ch. 13.4 - Prob. 13.158PCh. 13.4 - Prob. 13.159PCh. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Prob. 13.161PCh. 13.4 - Prob. 13.162PCh. 13.4 - Prob. 13.163PCh. 13.4 - Two identical billiard balls can move freely on a...Ch. 13.4 - Two identical 40-lb curling stones have diameters...Ch. 13.4 - A 600-g ball A is moving with a velocity of...Ch. 13.4 - Two identical hockey pucks are moving on a hockey...Ch. 13.4 - Prob. 13.168PCh. 13.4 - Prob. 13.169PCh. 13.4 - The Mars Pathfinder spacecraft used large airbags...Ch. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Rockfalls can cause major damage to roads and...Ch. 13.4 - Prob. 13.173PCh. 13.4 - cars of the same mass run head-on into each other...Ch. 13.4 - Prob. 13.175PCh. 13.4 - Prob. 13.176PCh. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Blocks A and B each weigh 0.8 lb and block C...Ch. 13.4 - A 5-kg sphere is dropped from a height of y=2 m to...Ch. 13.4 - Prob. 13.180PCh. 13.4 - Prob. 13.181PCh. 13.4 - Block A is released from rest and slides down the...Ch. 13.4 - Prob. 13.183PCh. 13.4 - A test machine that kicks soccer balls has a 5-lb...Ch. 13.4 - Prob. 13.185PCh. 13.4 - Prob. 13.186PCh. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of a=30 , the 1-Ib...Ch. 13.4 - Prob. 13.189PCh. 13 - 34,000-Ib airplane lands on an aircraft carrier...Ch. 13 - Prob. 13.191RPCh. 13 - A satellite describes an elliptic orbit about a...Ch. 13 - Prob. 13.193RPCh. 13 - Prob. 13.194RPCh. 13 - A 300-g block is released from rest after a spring...Ch. 13 - A kicking-simulation attachment goes on the front...Ch. 13 - Prob. 13.197RPCh. 13 - Prob. 13.198RPCh. 13 - Prob. 13.199RPCh. 13 - Prob. 13.200RPCh. 13 - The 2-Ib ball at A is suspended by an inextensible...
Knowledge Booster
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
    • SEE MORE QUESTIONS
    Recommended textbooks for you
  • Elements Of Electromagnetics
    Mechanical Engineering
    ISBN:9780190698614
    Author:Sadiku, Matthew N. O.
    Publisher:Oxford University Press
    Mechanics of Materials (10th Edition)
    Mechanical Engineering
    ISBN:9780134319650
    Author:Russell C. Hibbeler
    Publisher:PEARSON
    Thermodynamics: An Engineering Approach
    Mechanical Engineering
    ISBN:9781259822674
    Author:Yunus A. Cengel Dr., Michael A. Boles
    Publisher:McGraw-Hill Education
  • Control Systems Engineering
    Mechanical Engineering
    ISBN:9781118170519
    Author:Norman S. Nise
    Publisher:WILEY
    Mechanics of Materials (MindTap Course List)
    Mechanical Engineering
    ISBN:9781337093347
    Author:Barry J. Goodno, James M. Gere
    Publisher:Cengage Learning
    Engineering Mechanics: Statics
    Mechanical Engineering
    ISBN:9781118807330
    Author:James L. Meriam, L. G. Kraige, J. N. Bolton
    Publisher:WILEY
  • Elements Of Electromagnetics
    Mechanical Engineering
    ISBN:9780190698614
    Author:Sadiku, Matthew N. O.
    Publisher:Oxford University Press
    Mechanics of Materials (10th Edition)
    Mechanical Engineering
    ISBN:9780134319650
    Author:Russell C. Hibbeler
    Publisher:PEARSON
    Thermodynamics: An Engineering Approach
    Mechanical Engineering
    ISBN:9781259822674
    Author:Yunus A. Cengel Dr., Michael A. Boles
    Publisher:McGraw-Hill Education
    Control Systems Engineering
    Mechanical Engineering
    ISBN:9781118170519
    Author:Norman S. Nise
    Publisher:WILEY
    Mechanics of Materials (MindTap Course List)
    Mechanical Engineering
    ISBN:9781337093347
    Author:Barry J. Goodno, James M. Gere
    Publisher:Cengage Learning
    Engineering Mechanics: Statics
    Mechanical Engineering
    ISBN:9781118807330
    Author:James L. Meriam, L. G. Kraige, J. N. Bolton
    Publisher:WILEY
    How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License