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A 300-kg space vehicle traveling with a velocity
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Vector Mechanics For Engineers
- An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has a velocity of (32 ft/s)i- (7 ft/s)j and is 33 ft above the ground when it is hit by a 1.2-oz arrow traveling with a velocity of (165 ft/s)j + (230 ft/s)k where j is directed upwards. Determine the position P where the ball and arrow will hit the ground, relative to point O located directly under the point of impact.arrow_forwardvehicles are approaching a road junction, both moving with speed (12.5 m/s). One vehicle has mass 1000 kg and the other mass kg, and the roads meet at an angle of 60° as shown. The vehicles collide and initially move as a single body. ss of Car A= 100 kg ss of Car B = 70 kg A 12.5 m/s B 60° 12.5 m/s culate the magnitude of the velocity of the two vehicles immediately after the collision (treating them as a gle body) (m/s) culate the linear momentum in the vector form of car B. (m/s) culate the linear momentum in the vector form of car A. (m/s) Choose... Choose... Choose... 4arrow_forwardQ2. 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_forward
- A 13-kg projectile is passing through the origin O with a velocity v0 = (35 m/s)i when it explodes into two fragments A and B , of mass 5 kg and 8 kg, respectively. Knowing that 3 s later the position of fragment A is (90 m, 7 m, -14 m), determine the position of fragment B at the same instant. Assume ay =-g= -9.81 m/s2 and neglect air resistance.arrow_forwardQS | Blocks A and B shown in Fig. 5 have a mass of 3 kg and 5 kg, respectively. If the system is released from rest, Use the principle of impulse and momentum, determine the velocity of block B in 6 see. Negleet the mass of the pulleys and cord. Datum 3 kg Fig. 5 5kgarrow_forwardA rocketship has 9 modules each with a mass of 15 200 kg and moves at a speed of 7.0 km/s. One of the modules is explosively propelled away from the rocketship at a speed of 1350 km/h with respect to the rocketship, opposite in direction from the original travel direction of the rocket ship.What is the resulting change in the speed of the rocketship?arrow_forward
- An object with mass m is launched with initial kinetic energy E0 at an angle θ = 45° with respect to the horizontal (+x). At the peak of its trajectory the object explodes, breaking into two pieces. The explosion adds an additional mechanical energy E0 to the system. After the explosion, one piece (mass m1) travels straight downward(-y) with an unknown speed v1 while the second piece (mass m2) travels with an unknown velocity →v2. The total mass m1+m2 = m is the same as before the explosion, but the mass ratio of the two pieces q = m1/m2 is unknown. Assume that the motionof the two pieces is in the xy-plane. (a) Find the velocity →v2 of the second piece and the speed v1 of the first piece in terms of E0, m, and q.(b) What is the maximum mass m1 (as a fraction of m) that is physically permitted given that it is traveling straight down after the explosion?arrow_forward2. At the figure shown, object A and B was released at the same time. Object A has an initial velocity of 3m/s . If object A and B strikes each other at a horizontal distance of 30m, detemine (a) initial velocity of B (b) time when the two objects reached the ground (c) vertical distance at which particle A is launched. A 45° aa = 1m/s² ag = 0.5m/s² B 60°arrow_forward2. Jack and Kay(t)lin crash their bumper cars head-on to each other. Both cars (including occupants) are of equal mass: 235 kg. J’s car is faster, travelling initially at 2.8 m/s to the right, while K’s car is slower, with an initial velocity of {1.5} m/s to the left. A. If they bounce off of each other (elastic collision), and K’s car is travelling to the right at 2.5 m/s, how fast is J’s car travelling, and in what direction? B. They are both unhurt by the collision, which means they experienced less than 10,000N of force. What is the minimum amount of time that the collision could have taken to make this happen? (Hint: Calculate the impulse on either car, they should be the same.) C. This collision could have caused neck injury to either student. Describe what happens to their head, neck, and car in relation to each other to cause this injury. D. Different situation: This time, the two cars hit and stick (inelastic) together as a single unit. Which way, and how fast…arrow_forward
- At a crossroads, vehicle B heading south and vehicle A heading north-east at an angle of 300 collided. After the collision, the two vehicles were interlocked and drifted together at a velocity v, making a 100 angle in the north-east direction. The mass of vehicle A is 1500 kg and the mass of vehicle B is 1200 kg. The speed of vehicle A before the collision is known to be 50 km / h. Find the pre-collision velocity of vehicle B? 90 Kg B 160 Kg 30°arrow_forwardVo A baseball player hits a 5.1-oz baseball with an initial velocity of 130 ft/s at an angle of 40° with the horizontal as shown. Determine (a) the kinetic energy of the ball immediately after it is hit, (b) the kinetic energy of the ball when it reaches its maximum height, (c) the maximum height above the ground reached by the ball. 40° 2 ftarrow_forwardBlocks A and B are connected by a cord which passes over pulleys and through a collar C. The system is released from rest when x= 1.7 m. As block A rises, it strikes collar C with perfectly plastic impact (e= 0). After impact, the two blocks and the collar keep moving until they come to a stop and reverse their motion. As A and C move down, C hits the ledge and blocks A and B keep moving until they come to another stop. Determine (a) the velocity of the blocks and collar immediately after A hits C, (b) the distance the blocks and collar move after the impact before coming to a stop, (c) the value of x at the end of one complete cycle.arrow_forward
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