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In a game of billiards, ball A is given an initial velocity v0 along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the sides of the table squarely at A' and C'. respectively, and ball B is observed to hit the side obliquely at B'. Knowing that
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- 2. 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_forwardAn 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_forwardCalculate the minimum possible magnitude u of the muzzle velocity which a projectile must have when fired from point A to reach a target B on the same horizontal plane 6.4 km away. A Answer: u = i m/s 6.4 km Barrow_forward
- Watch out for that tree! George of the jungle is swinging on a vine and when he is at his lowest point in the swing he has a horizontal velocity of 15 m/s. At that moment his friend Ape the ape jumps onto George with a horizontal velocity of 4 m/s in the opposite direction that George is moving and they swing together until they hit a tree when they are 5m above the lowest point in the swing. The mass of George is 85 kg and the mass of Ape is 23 kg. With what velocity do they hit the tree?arrow_forwardTwo spheres of equal mass, A and B, are projected off the edge of a 2.0 m bench. Sphere A has a horizontal velocity of 5.0 m/s and sphere B has a horizontal velocity of 2.0 m/s If both spheres leave the edge of the table at the same instant, sphere A will land at the same time as sphere B. at some time after sphere B. at some time before sphere B There is not enough information to decide If both spberesleave th e odge of the table at the same inctant cphere Aarrow_forwardBall A has a mass of 3 kg and is moving with a velocity of (vA)ı = 8 m/s when it makes a direct collision with ball B, which has a mass of 2.5 kg and is moving with a velocity of (vB)1 = 5 m/s. Suppose that e = 0.8. Neglect the size of the balls. (v), Part A Determine the velocity of A just after the collision measured to the right. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left. (vA)2 = Part B Determine the velocity of B just after the collision measured to the right. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left. (vB)2 =arrow_forward
- 3. A bomb which is initially at rest explodes into three fragments. Fragment A of known mass ma moves at a known angle of 8 measured clockwise with respect to the positive y-axis with a known speed |val. Fragment B of unknown mass (but let's call it m3 ) moves at a known angle o measured counterclockwise with respect to the negative x-axis with a known speed |is|. A third fragment C of known mass mc moves off along the negative y-axis with an unknown speed (let's call it |vc]). Only the forces between the fragments are significant during the collision. a. Draw a diagram that shows the initial and final states of the bomb fragments. Label the velocity vectors and known angles. b. Define what you would like to include in your system. c. Write a Newton's 2nd Law equation for this system. d. Determine the speed of fragment C and the mass of fragment B in terms of the known quantities.arrow_forwardQ6. As shown in the image below, the spring (with spring constant k = 2.4 kN/m) is fixed to block A, and block B is pressed against the spring. The masses of blocks A and B are mà = 19 kg and m² = 15 kg, respectively. The spring is initially compressed by 240 mm, and then both blocks are released from rest. Determine the velocity of block A at the instant block B loses contact with the spring. Right is considered the positive direction and negative sign must be included if the velocity points to the left. (Hint, neglect friction, and since there is no impulsive force, energy is conserved.) Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper SI unit. Your Answer: Answer A www k units Barrow_forwardB' 14.51 In a game of billiards, ball A is given an initial velocity v along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the sides of the 1.8 m – 1.2 m - table squarely at A' and C', respectively, and ball B is observed to hit the side obliquely at B'. Knowing that vo = 4 m/s, v, = 1.92 m/s, and a = 1.65 m, determine (a) the velocities v and vc of balls B and C, (b) the point C' where ball C hits the side of the table. Assume friction- less surfaces and perfectly elastic impacts (i.e., conservation of energy). 0.75 m VB Vo B 0.75 m C' A' Fig. P14.51arrow_forward
- A 40-Mg boxcar A is moving in a railroad switchyard with a velocity of 9 km/h toward cars B and C , which are both at rest with their brakes off at a short distance from each other. Car B is a 25-Mg flatcar supporting a 30-Mg container, and car C is a 35-Mg boxcar. As the cars hit each other they get automatically and tightly coupled. Determine the velocity of car A immediately after each of the two couplings, assuming that the container (a) does not slide on the flatcar, (b) slides after the first coupling but hits a stop before the second coupling occurs, (c) slides and hits the stop only after the second coupling has occurred.arrow_forwardJack is standing on top of a building 15 m above the ground and drops a sandbag. At the same instant, Jill aims and throws a rock towards the sandbag at a velocity of 10 m/s. Jill is positioned 3.5 m away from Jack, and her arm as she throws the rock is positioned 1.5 m above the ground. At what angle should Jill throw the rock in order to hit the sandbag? At what time will the rock hit the sandbag? At what height with respect to the ground does the collision (rock and sandbag) occur? What is the velocity of the rock when it hits the sandbag?arrow_forwardAt an amusement park in the greater area there are three 180-kg bumper cars occupied by seniors. The riders in cars A, B, and C have individual masses of 50, 70, and 40 kg respectively. Car A is observed to be moving to the right with a velocity v = 2 m/s and Car C is moving at vc = 1.5 m/s to the left. Car B is initially at rest with a collision imminent. The bumper cars are designed with a coefficient of restitution of 0.8 between each car, VC A B C Determine the final velocity of each car, after all impacts for the following two collision scenarios: (a) Cars A and Chit Car B at the same time, (b) Car A hits Car B before car C does (note there will be more than two total collisions)arrow_forward
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