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Airplanes A and B are flying at the same altitude and are tracking the eye of hurricane C. The relative velocity of C with respect to A is
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Vector Mechanics for Engineers: Dynamics
- The two spheres shown collide. the weight of the first sphere (W1) is 40 N while that of the second is (W2) is 30N. assuming that the second sphere's velocity (v2) is 14 m/s and the first sphere's velocity (v1) is 16 m/s along the their respective angles. theta 1(θ1)=30 degrees and theta 2(θ2)=60 degrees. Assume velocities along y will be equal before and after impact. The coefficient of restitution is 0.57. A.) Determine the velocity of the 30N sphere after impact (m/s) B.) Determine the Velocity of the 40N sphere after impact (m/s) C.) Determine the angle of the velocity after impact of the 40N sphere with the horizontal (degrees) D.) Determine the angle of the velocity after impact for the 30N sphere with the vertical (degrees)arrow_forwardExample 6. At halftime of a football game, souvenir balls are thrown to the spectators with a velocity vp. Determine the values of v, if the balls are to land between points A and B, as range of shown. 7 m B 10 m 40° 2 m 35° 1.5 m 8 marrow_forwardTwo planes are flying at the same altitude as shown. From a radar gun on plane B, the speed of A is 1157 km/hour, the ground velocity of plane B is 988 km/h. The angle between their paths, θ = 37 degrees. What is the ground velocity of plane A ?arrow_forward
- A train is moving horizontally to the right with the speed of VT=60 mi/h. Meanwhile, a car is traveling toward the train with the speed of VC=30 mi/h and a 30deg angle with respect to horizontal direction. Select the correct expression of the velocity vector of the train relative to the car ___________mi/h A. (60-30cos30°)-30sin30° B. (60-30cos30°) +30sin30° C. (60+30cos30°)-30sin30° D. (30cos30°-60) +30sin30°arrow_forwardHelp me pleasearrow_forwardA gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations = Aea - (upward motton) o =- Be (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cgm where c, is the drag constant and m is the mass of the bullet (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)arrow_forward
- Problem 2. A particle moves in accordance with the equation s= 32 + 24t – 2t³ Where s is in meters and t in seconds. (1) Derive the v - t equation for the motion (2) How far to the right of the origin does the particle go? (3) When, if ever, does the particle pass the origin?arrow_forward2 Problem A Charlotte 49ers quarterback releases a ball with speed vo= 80 ft/s and at an angle of 00 = 35 deg relative to the horizontal, as shown below. Calculate how fast the speed of the football is changing and the radius of curvature after (a) t = 1 seconds and (b) t = 2 seconds. ი.arrow_forwardThe trajectory of a soccer ball is analyzed when a goalkeeper decides to place it in the center of the field. Theball is kicked at a height of 1.20 meters measured from the ground with a direction of 25 degrees withrelative to the vertical. It was observed through cameras that the ball remained in the air for 2.4seconds. Determine:a- The speed with which the ball goes out.b- The hot horizontal distance it travels before hitting the ground.c- The maximum height the ball reaches.arrow_forward
- 6 The linear momentum of a body can be considered the sum of the linear momentum of the differential masses which make up the body. Each of those differential masses can be treated like a particle. True Falsearrow_forward: A student wants to launch a golf ball into a 3rd floor window, located 7m above ground level. The launcher shoots the golf ball at a speed of v₁. What is the minimum launch speed for the golf ball to reach the 3rd floor and what is the angle of launch 0 ? | 8 CO 0 Golf ball Dorm window 7marrow_forwardA projectile is launched with a speed vo = 30 m/s at angle = 60°. What is the minimum speed it gets during its flight? vo Ꮎ X O 20 m/s O 15 m/s O 15√3 m/s O 10 m/sarrow_forward
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