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An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has a velocity of
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Vector Mechanics For Engineers
- A particle of mass m is projected from point A with an initial velocity v0 perpendicular to OA and moves under a central force F along an elliptic path defined by the equation r=r0 /(2 - cos 0) Using Eq. (12.35), show that F is inversely proportional to the square of the distance r from the particle to the center of force 0.arrow_forwardAn oscillating garden sprinkler which discharges water with an initial velocity v0 of 8 m/s is used to water a vegetable garden. Determine the distance d to the farthest point B that will be watered and the corresponding angle a when (a) the vegetables are just beginning to grow, (b) the height h of the corn is 1.8 m.arrow_forwardAn object of mass m1 = 2.0 kg moving at 1.8 m/s collides with an object of mass m2 = 1.4 kg moving from the opposite direction with a speed of 1.5 m/s. After collision, m1 continues to go in the same direction with a speed of 0.3. What will be the speed of m2 after the collision? A 9.0 bullet traveling with a speed of 100 m/s gets embedded in a wooden block of mass 1 kg. The wooden block is hanging like a pendulum as shown in the figure below. To what height h will the wooden block rise, when it comes to a momentary stop. (Hint: do this as a two step problem, g = 9.8 m/s2).arrow_forward
- A ball is drop from a building 30 m high. At the same instant, another ball is thrown upward with an initial velocity of 23 m/s. If the initial velocity of the first stone is 15 m/s, determine where and when the objects pass each other.arrow_forwardBall A is thrown vertically upward from the top of a 30-m-high building with an initial velocity of 5 m/s. At the same instant, another ball B is thrown upward from the ground with an initial velocity of 20 m/s. Determine the height from the ground and the time at which they pass each other.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_forward
- A fireworks show is choreographed to have two shells cross paths at a height of 132 feet and explode at an apex of 172 feet under normal weather conditions. If the shells have a launch angle θ = 65° above the horizontal, determine the common launch speed v0 for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.arrow_forwardA boat is moving to the right with a constant deceleration of 0.3 m/s2 when a boy standing on the deck D throws a ball with an initial velocity relative to the deck which is vertical. The ball rises to a maximum height of 8 m above the release point and the boy must step forward a distance d to catch it at the same height as the release point. Determine (a) the distance d, (b) the relative velocity of the ball with respect to the deck when the ball is caught.arrow_forwardThe ball is kicked from point A with the initial velocity VA=12 m/sec. Determine the range, R, when the ball strikes the ground. A. 12.68 m B. 14.68 m C. 15. 83 m D. None of thesearrow_forward
- A nozzle at A discharges water with an initial velocity of 36 ft/s at an angle a with the horizontal. Determine (a) the distance d to the farthest point B on the roof that the water can reach, (b) the corresponding angle a. Check that the stream will clear the edge of the roof.arrow_forwardA tennis player strikes the tennis ball with her racket when the ball is at the uppermost point of its trajectory as shown. The horizontal velocity of the ball just before impact with the racket is v1 = 50 ft/sec, and just after impact its velocity is v2 = 70 ft/sec directed at the 15° angle as shown. If the 2-oz ball is in contact with the racket for 0.02 sec, determine the magnitude of the average force R exerted by the racket on the ball. Also determine the angle β made by R with the horizontal.arrow_forwardA car that is initially at rest accelerates along a straight, level road according to the diagram shown. Determine (a) the maximum speed; and (b) the distance traveled by the car when the maximum speed is reached.arrow_forward
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