Concept explainers
A 6-kg shell moving with a velocity
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Vector Mechanics For Engineers
- A 480-kg space vehicle traveling with a velocity vo = (405 m/s)i passes through the origin O at t= 0. Explosive charges then separate the vehicle into three parts, A, B, and C, with mass, respectively, 240 kg, 100 kg, and 140 kg. Knowing that at t = 4 s, the positions of parts A and B are observed to be A (1170 m, -290 m, -585 m) and B (1975 m, 365 m, 800 m), determine the corresponding position of part C. Neglect the effect of gravity. The position of part Cis rc= m)i + ( m)j + m)k.arrow_forward2- Two identical cars A and B are at rest on a loading dock with brakes released. Car C, of a slightly different style but of the same weight, has been pushed by dockworkers and hits car B with a velocity of 1.5 m/s. Knowing that the coefficient of restitution is 0.8 between B and C and 0.5 between A and B, determine the velocity of each car after all collisions have taken place. 1.5 m/sarrow_forward3. Neglecting air resistance, determine the value of the firing angle a in degree. At a horizontal distance of 12,000 ft, a projectile is fired with an initial velocity of 14.63 km/min at a target B located 6,096 decimeter above the gun A.arrow_forward
- A 900-lb space vehicle traveling with a velocity v0 = (1500 ft/s)k passes through the origin O. Explosive charges then separate the vehicle into three parts A, B, and C , with masses of 150 lb, 300 lb, and 450 lb, respectively. Knowing that shortly thereafter the positions of the three parts are, respectively, A (250, 250, 2250), B (600, 1300, 3200), and C (-475, -950, 1900), where the coordinates are expressed in feet, that the velocity of B is vB = (500 ft/s)i+ (1100 ft/s)j+ (2100 ft/s)k, and that the x component of the velocity of C is -400 ft/s, determine the velocity of part A.arrow_forwardA 10-kg package drops from a chute into a 25-kg cart with a velocity of 3 m/s. Knowing that the cart is initially at rest and can roll freely, determine (a) the final velocity of the cart, (b) the impulse exerted by the cart on the package, (c) the fraction of the initial energy lost in the impact. 3 m/s 30arrow_forwardA 0.5-oz model rocket is launched vertically from rest at time t = 0 with a constant thrust of 0.9 Ib for 0.3 s and no thrust for t > 0.3 s. Neglecting air resistance and the decrease in mass of the rocket, determine (a) the maximum height h reached by the rocket, (b) the time required to reach this maximum height. %D harrow_forward
- The 3.9-lb rod AB is hanging in the vertical position. A 2.2-lb block, sliding on a smooth horizontal surface with a velocity of 12 ft/s, strikes the rod at its end B. (Figure 1) 3.98 12 ft/s PA ft S A Determine the velocity of the block immediately after the collision. The coefficient of restitution between the block and the rod at B is e = 0.84. Express your answer to three significant figures and include the appropriate units. ? B C 3 ft form Cyc HEALT wayarrow_forwardRock falls can cause major damage to roads and infrastructure. To design mitigation bridges and barriers, engineers use the coefficient of restitution to model the behavior of the rocks. Rock A falls a distance of 20 m before striking an incline with a slope of α = 40o. Knowing that the coefficient of restitution between rock A and the incline is 0.2, determine the velocity of the rock right after the impact, both magnitude and angle with respect to the horizontal.arrow_forwardRockfalls can cause major damage to roads and infrastructure. To design mitigation bridges and barriers, engineers use the coefficient of restitution to model the behavior of the rocks. Rock A falls a distance of 20 m before striking an incline with a slope of a = 40°. Knowing that the coefficient of restitution between rock A and the incline is 0.2, determine the velocity of the rock after the impact.arrow_forward
- An object of mass m1 = 2.0 kg moving at 1.8 m/s collides with an object of mass m2 = 1.4 kg moving from the opposite direction with a speed of 1.5 m/s. After collision, m1 continues to go in the same direction with a speed of 0.3. What will be the speed of m2 after the collision? A 9.0 bullet traveling with a speed of 100 m/s gets embedded in a wooden block of mass 1 kg. The wooden block is hanging like a pendulum as shown in the figure below. To what height h will the wooden block rise, when it comes to a momentary stop. (Hint: do this as a two step problem, g = 9.8 m/s2).arrow_forwardA 0.0102-kg bullet is fired straight up at a falling wooden block that has a mass of 3.47 kg. The bullet has a speed of 748 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building. Find the time t. Number i Unitsarrow_forwardQ2. As shown in the image below, the freight cars A and B are approaching each other, and they have a mass of mA = 23 Mg and mg = 14 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are VA,1 4.3 m/s and v³,1 = 2.9 m/s. Determine the velocity of A after collision if the cars collide and rebound, such that B moves to the right with a speed of 1.8 m/s. Right is considered the positive direction and negative sign must be included if A moves to the left after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. A Your Answer: VA,1 Answer units B VB.1 =arrow_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