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A 6-kg shell moving with a velocity
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Vector Mechanics for Engineers: Dynamics
- A 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_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_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_forward
- 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_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_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_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_forwardMass C , which has a mass of 4 kg, is suspended from a cord attached to cart A , which has a mass of 5 kg and can roll freely on a frictionless horizontal track. A 60-g bullet is fired with a speed v0 = 500 m/s and gets lodged in block C . Determine (a) the velocity of C as it reaches its maximum elevation, (b) the maximum vertical distance h through which C will rise.arrow_forwardThe 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_forward
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