Concept explainers
The speed
Answer to Problem 11.131P
The speed
Explanation of Solution
Given Information:
The small boat travel north at the speed
A short time later the boat travels east at the speed
Calculation:
Consider case (1) while the boat travel north,
Write the speed of ship
Write the relative velocity
Substitute
Write the velocity vector
Calculate velocity vector
Substitute
Separate the i and j component in the equation (1).
Consider case (2) while the boat travel east,
Write the speed of ship
Write the relative velocity
Substitute
Write the velocity vector
Calculate velocity vector
Substitute
Separate the i and j component in the equation (1).
Equate equation (2) and (5).
Equate equation (3) and (6).
Solve the equation (7) and (8) for
The value
Calculate the x component velocity
Substitute
Calculate the y component velocity
Substitute
Write velocity
Substitute
Calculate the angle made by the resultant of
Substitute
Therefore, the speed
Want to see more full solutions like this?
Chapter 11 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
- 273. A garden lawn spreader is powered by the wheels. The wheels are connected to the spreader by a set of gears. Determine the width of the swath that the fertilizer would be spread. Assume the velocity of the fertilizer is equal to the velocity of the extreme tip of the spreader vane. Ignore the height of the grass. SWATH WIDTH NAME 1.6 m/s SPREADER VANE DIAM = 22CM D B 2/16/10 GEAR2= "DIAM = 4cm GEAR I DIAM=6CM SWATH WIDTH WHEEL DIAM = 27Cm SPREADER VANE IS 30.cm ABOVE THE GROUND 16Barrow_forwardA building is located 19 ft from the centerline of the inside lane of a curved section of highway whose radius is 400 ft. The road is level and e=10%. Determine the posted speed limit (to the nearest 5 mi/h)arrow_forwardCopyright © McGraw-Hill Education. Permission required for reproduction or display. The pitcher in a softball game throws a ball with an initial velocity vo of 108 km/h at an angle a with the horizontal. If the height of the ball at Point B is A В 0.6 m 0.68 m 0.68 m, determine (a) the angle a, (b) the angle O that the velocity of the ball at Point B forms with 14 m the horizontal.arrow_forward
- A rocket travels along a parabolic path of 200 · y? – 1800 = 10 · x. The rocket moves at a constant - m vertical velocity of V = 1000 y = f(x) 10 10 20 30 40 50 60 70 80 a. Determine the y -position at x = 70 m. b. Determine the horizontal velocity, V/x, at x = 70 m. c. Determine the magnitude of the velocity, V , at x = 70 m. d. Determine the horizontal acceleration, ax, at x = 70 m.arrow_forwardThe two spheres shown collide. the weight of the first sphere (W1) is 40 N while that of the second is (W2) is 30N. assuming that the second sphere's velocity (v2) is 14 m/s and the first sphere's velocity (v1) is 16 m/s along the their respective angles. theta 1(θ1)=30 degrees and theta 2(θ2)=60 degrees. Assume velocities along y will be equal before and after impact. The coefficient of restitution is 0.57. A.) Determine the velocity of the 30N sphere after impact (m/s) B.) Determine the Velocity of the 40N sphere after impact (m/s) C.) Determine the angle of the velocity after impact of the 40N sphere with the horizontal (degrees) D.) Determine the angle of the velocity after impact for the 30N sphere with the vertical (degrees)arrow_forwardDuring the middle of a family picnic, Barry Allen received a message that his friends Bruce and Hal needed to be saved. Barry promised his wife Iris that he would be back in exactly 5 minutes. From that that picnic location, Barry runs at a speed of 600 m/s for 2 minutes at a heading of 35° north of west to save Bruce. He then changed his heading to 30° west of north, slows down to 400 m/s and runs for 1 minute to save Hal. (The changes in speed are essentially instantaneous and not part of solving this problem).(a) Draw a physical representation of the displacement during Barry’s full trip.(b) Use the Related Quantities sense-making technique to compare Barry’s total distance traveled to themagnitude of his displacement.(c) What average velocity (magnitude and direction) does Barry need to return back to the picnic inorder to keep his promise to Iris?arrow_forward
- A projectile is launched with a speed vo = 30 m/s at angle = 60°. What is the minimum speed it gets during its flight? vo Ꮎ X O 20 m/s O 15 m/s O 15√3 m/s O 10 m/sarrow_forwardPlease help me get the correct answer, please.arrow_forwardThe slider block A is moving downward at vA = 3.5 m/s. Determine the x and y components of the velocity of the block C at the instant shown.arrow_forward
- If B goes down with a speed v³ = 12 m/s, what is the speed of A? ·x A O VA = 2.4 m/s Ο UA = 2 m/s Ο UA = 1.2 m/s O VA = 3 m/s Barrow_forwardTwo planes are flying at the same altitude as shown. From a radar gun on plane B, the speed of A is 1157 km/hour, the ground velocity of plane B is 988 km/h. The angle between their paths, θ = 37 degrees. What is the ground velocity of plane A ?arrow_forwardNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two automobiles A and Bare approaching each other in adjacent highway lanes. At t= 0, A and B are 3200 ft apart, their speeds are vA = 67 mi/h and vg = 38 mi/h, and they are at points Pand Q, respectively. A passes point Q 40 s after B was there and B passes point P 42 s after A was there. VA A B 3200 ft Determine the uniform accelerations of A and B. (You must provide an answer before moving on to the next part.) The uniform acceleration of A is - | ft/s2. The uniform acceleration of Bis Darrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY