(a) Explanation Given information: Consider the mass of ball A , ball B , and C is denoted by m . The initial velocity of the ball is v 0 = 12 ft/s . The initial velocity of the ball B and C is zero. Consider the final velocity of ball A and B are denoted by v A and v B . The final velocity of the ball C is v C = 6.29 ft/s . Calculation: Show the collision of the ball A , B , and C as shown in Figure 1. Refer Figure 1. Show the conservation of momentum in x -direction as follows: m v 0 cos 30 ° = m v A sin 7.4 ° + m v B sin 49.3 ° + m v C cos 45 ° m v 0 cos 30 ° = m ( v A sin 7.4 ° + v B sin 49.3 ° + v C cos 45 ° ) 0.866 m v 0 = m ( 0.1288 v A + 0.75813 v B + 0.7071 v C ) 0.866 v 0 = 0.1288 v A + 0.75813 v B + 0.7071 v C Substitute 6.29 ft/s for v C and 12 ft/s for v 0 . 0.866 ( 12 ) = 0.1288 v A + 0.75813 v B + 0.7071 ( 6.29 ) 10.392 = 0.1288 v A + 0.75813 v B + 4.447 0.1288 v A + 0.75813 v B = 5 (b) To determine Find the magnitude of velocity of ball B .

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 14, Problem 14.108RP

(a)

To determine

Find the magnitude of velocity of ball A.

(b)

To determine

Find the magnitude of velocity of ball B.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14, Problem 14.107RP

Chapter 14, Problem 14.109RP

Students have asked these similar questions

A golfer hits a ball with an initial velocity of magnitude v0 at an angle a with the horizontal. Knowing that the ball must clear the tops of two trees and land as close as possible to the flag, determine v0 and the distance d when the golfer uses (a) a six-iron with a = 31°, (b) a five-iron with a= 27°.

In a game of billiards, ball A is given an initial velocity v0 along the longitudinal axis of the table. It hits ball B and then ball C , which are both at rest. Balls A and c are observed to hit the sides of the table squarely at A, and C, respectively, and ball B is observed to hit the side obliquely at B, .Knowing that v0 = 4 m/s, vA = 1.92 m/s, and a= 1.65 m, determine (a) the velocities vB and vC of balls B and C , (b) the point C, where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).

Three small spheres A, B and C, which weight 1, 2and 4 lb respectively, can slide freely on a horizontalfrictionless surface. Spheres B and C are connectedby a light rod and are at rest in the position shownwhen sphere B is struck squarely by sphere A whichis moving to the right with a velocity V0 = (8 ft/s)i.Knowing that θ = 45° and that the velocities of spheresA and B immediately after the impact are VA = 0 and VB = (2 ft/s)i + (VB)y j, determine(VB)y and the velocity of C immediately after impact. Please show every single step in the solution with the free body diagrams thanks

Chapter 14 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - Prob. 14.3P Ch. 14.1 - Prob. 14.4P Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9, assuming...

Knowledge Booster

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.

Find the magnitude of velocity of ball A .

Solution Summary: The author shows the magnitude of velocity of the ball A, B, and C as shown in Figure 1.