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A 6-kg shell moving with a velocity
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Vector Mechanics For Engineers
- In a game of pool, ball A is moving with a velocity v0 with a magnitude of v0 = 15 ft/s when it strikes balls B and C , which are at rest and aligned as shown. Knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the magnitudes of the velocities vA, vB and vC .arrow_forwardThe rocket used to launch the 540-kg spacecraft of Prob. 14.95 is redesigned to include two stages A and B , each of mass 9.5 Mg, including 8.9 Mg of fuel. The fuel is again consumed at a rate of 225 kg/s and ejected with a relative velocity of 3600 m/s. Knowing that when stage A expels its last particle of fuel, its casing is released and jettisoned, determine (a) the speed of the rocket at that instant, (b) the maximum speed imparted to the spacecraft.Reference to Problem 14.95:arrow_forwardA rocket weighs 2600 lb, including 2200 lb of fuel, which is consumed at the rate of 25 lb/s and ejected with a relative velocity of 13,000 ft/s. Knowing that the rocket is fired vertically from the ground, determine (a) its acceleration as it is fired, (b) its acceleration as the last particle of fuel is being consumed, (c) the altitude at which all the fuel has been consumed, (d) the velocity of the rocket at that time.arrow_forward
- Two identical billiard balls can move freely on a horizontal table. Ball A has a velocity v0 as shown and hits ball B, which is at rest, at a point C defined by 0¸ = 45°. Knowing that the coefficient of restitution between the two balls is e = 0.8 and assuming no friction, determine the velocity of each ball after impact.arrow_forwardTwo spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Sphere A is moving at a speed v0 = 16 ft/s when it strikes sphere B which is at rest, and the impact causes sphere B to break into two pieces, each of mass m/2.a) Knowing that 0.7 s after the collision one piece reaches Point C and 1.17 s after the collision the other piece reaches Point D, determine the velocity of sphere A after the collision.b) Knowing that 0.7 s after the collision one piece reaches Point C and 1.17 s after the collision the other piece reaches Point D, determine the angle θ and the speeds of the two pieces after the collision.arrow_forwardPackages in an automobile parts supply house are transported to the loading dock by pushing them along on a roller track with very little friction. At the instant shown, packages B and c are at rest, and package A has a velocity of 2 m/s. Knowing that the coefficient of restitution between the packages is 0.3, determine (a) the velocity of package C after A hits B and B hits C, (b) the velocity of A after it hits B for the second time.arrow_forward
- A 1.62-oz golf ball is hit with a golf club and leaves it with a velocity of 100 mi/h. We assume that for 0 ≤ t≤t0 , where t0 is the duration of the impact, the magnitude F of the force exerted on the ball can be expressed as F=Fmsin (πt/t0). Knowing that t0 = 0.5 ms, determine the maximum value Fm of the force exerted on the ball.arrow_forwardTwo identaical billiard balls can move freely on a horizontal table. Ball A has a velocity 5 m/s as shown. And hits ball B, which is at rest, at point C defined by θ=45. Knowing that the coefficient of restitution between the two balls is e=0.8, determine the velocity of each ball after impact. They have equal mass of 200 g.arrow_forwardTwo small balls A and B with masses 2m and m , respectively, are released from rest at a height h above the ground. Neglecting air resistance, which of the following statements is true when the two balls hit the ground? a. The kinetic energy of is the same as the kinetic energy of B.b. The kinetic energy of A is half the kinetic energy of B.c. The kinetic energy of A is twice the kinetic energy of B.d. The kinetic energy of A is four times the kinetic energy of B.arrow_forward
- Conservation of Linear Momentum for a System of Particles Two spheres A and B (of mass m each) were fired vertically from the ground with different initial velocities at different times. When sphere A reached its summit, sphere B, with an upward velocity of 17 m/s, created a head on collision with A. The impact caused sphere A to break into two pieces, each of mass m/2. Knowing one piece reached Point C and the other piece reached point D after the collision, determine (a) the velocity of sphere B after the collision; (b) the angle and the speeds of the two pieces after the collision; and (c) the force exerted by sphere A on B if the collision occurred in 0.001 s.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_forwardA 2-kg model rocket is launched vertically and reaches an altitude of 70 m with a speed of 30 m/s at the end of powered flight, time t= 0. As the rocket approaches its maximum altitude it explodes into two parts of masses mA = 0.7 kg and mB = 1.3 kg. Part A is observed to strike the ground 80 m west of the launch point at t = 6 s. Determine the position of part B at that time.arrow_forward
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