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A 6-kg shell moving with a velocity
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Chapter 14 Solutions
Vector Mechanics for Engineers: Dynamics
- 3. 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_forwardat an amusement park there are 200 kg bumper cars A, B, and C that have riders with masses of 40kg, 60 kg, and 35 kg, respectively. Car A is moving to the right with a velocity Va=2m/s when it hits stationary car B. The coefficient of restitution between each car is 0.8. Determine the velocity of car C so that after car B collides with car C the velocity of car B is zero.arrow_forwardA 10-kg package drops from a chute into a 25-kg cart with a velocity of 3 m/s. 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.arrow_forward
- A 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_forwardA 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 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_forward
- Q2. As shown in the image below, the freight cars A and Bare approaching each other, and they have a mass of ma 24 Mg and mB = 13 Mg, respectively. The directions of their initial velocities are shown in the image, and the speeds are vA,1 = 2.9 m/s and vB,1 = 2.7 m/s. Determine the velocity of A after collision if the cars collide and rebound, such that Bmoves to the right with a speed of 2.1 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. VA,1 A VB,1 В Your Answer: Answer 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_forwardA bullet is fired with a horizontal velocity of 1500 ft/s through a 6-lb block A and becomes embedded in a 4.95-lb block B.Knowing that blocks A and B start moving with velocities of 5 ft/s and 9 ft/s, respectively, determine (a) the weight of the bullet, (b) its velocity as it travels from block A to block B.arrow_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_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_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_forward
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