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A 900-lb space vehicle traveling with a velocity
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Vector Mechanics For Engineers
- A light train made up of two cars is traveling at 90 km/h when the brakes are applied to both cars. Knowing that car A has a mass of 25 Mg and car B a mass of 20 Mg, and that the braking force is 30 kN on each car, determine (a) the distance traveled by the train before it comes to a stop, (b) the force in the coupling between the cars while the train is slowing down.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 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_forward
- at 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_forwardTwo blocks A and b , of mass 4 kg and 5 kg, respectively, are connected by a cord that passes over pulleys as shown. A 3-kg collar A is placed on block A and the system is released from rest. After the blocks have moved 0.9 m, collar C is removed and blocks A and B continue to move. Determine the speed of block A just before it strikes the ground.arrow_forwardA 1-kg block B is moving with a velocity v0 of magnitude v0 = 2 m/s as it hits the 0.5-kg sphere A , which is at rest and hanging from a cord attached at 0 . Knowing that μk= 0.6 between the block and the horizontal surface and e = 0.8 between the block and the sphere, determine after impact (a) the maximum height h reached by the sphere, (b) the distance x traveled by the block.arrow_forward
- The coefficient of restitution is 0.9 between the two 60-mm-diameter billiard balls A and B . Ball A is moving in the direction shown with a velocity of 1 m/s when it strikes ball B , which is at rest. Knowing that after impact B is moving in the x direction, determine (a) the angle 0, (b) the velocity of B after impact.arrow_forwardConservation 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_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
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