Concept explainers
Ball A is thrown straight up with an initial speed v0 and reaches a maximum elevation h before falling back down. When A reaches its maximum elevation, a second ball is thrown straight upward with the same initial speed v0. At what height, y, will the balls cross paths?
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Chapter 11 Solutions
Vector Mechanics for Engineers: Dynamics
- Q4 2. A ball is launched with an initial velocity of Vo = 4.5 m/s from point P at a 30° sloped surface with an angle of 0. The ball lands at point B, which is 0.6 m higher than point A. Determine the launch angle 0 of the ball, the impact velocity at B (vB), the angle vg makes with the horizontal and the duration of the flight. Also determine the radius of curvature of the path and the rate of change of the speed of the ball at point C, where its trajectory makes an angle of 60° with the negative x-axis. g 9.81 m/s-.arrow_forwardQ16. As shown in the image below, the 0.9-kg ball strikes the rough ground and rebounds. The directions of its velocities before and after the strike are shown. If the speeds are v = 23 m/s and v2 = 11 m/s, determine the magnitude of the ball's linear momentum (in kg-m/s) before it strikes the ground. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. V2 V1 45° 30° Your Answer: Answerarrow_forward4 Problem Norm the Niner has a running start when he catches on to the zipline at the top of the cliff with speed vo. After traveling a distance L he hits the ground running at a speed 200. • Write down an expression, in terms of L and vo, for the average acceleration a, during his descent. • Write down an expression, in terms of L and vo, for the total time T of the descent (assume constant average acceleration). • Show that Norm is 11/16ths of the way down the zipline when the elapsed time is t = (3/4)T (assume constant average acceleration). Vo Larrow_forward
- 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_forwardPlease help immediately, I will leave a thumb uparrow_forwardI need the answer quickly please and thank youarrow_forward
- 2. A footballer kicks a ball on horizontal ground giving it an initial velocity of 35 m/s at an angle of 25° to the horizontal. a. Where will the ball be 1.2 seconds after it is kicked? b. What will be the greatest height reached by the ball? c. Where will the ball land?arrow_forward4. Determine the constant speed at which B must run and the distance d in order to make the catch at the same elevation at which the ball was hit, units in feet/second and feet respectively. The baseball player A hits the baseball at VA = 12,192 mm/sec and e, = 60° from the horizontal. When the ball is directly overhead of player B he begins to run under it. -15 ftarrow_forwardA physics teacher performs three different collision experiments in class.He uses two dynamics carts on an aluminum (frictionless) track.The red cart has a mass of 0.486kg and moves to the right with a speed of 0.255m/s.The blue cart has a mass of 0.267kg and moves to the left with a speed of 0.495m/s. a.In the first collision, the carts have Velcrostuck on the front of them. The carts stick to each other upon impact.Find the final velocity of the two carts after they have stuck together. b.In the second collision, the impact is cushioned by magnets on the fronts of the carts. The magnets do not provide a perfectly elastic collision.After the carts bounce away from each other, the red cart moves to the left with a speed of 0.205m/s.Determine the final velocity of the blue cart. c.In the third collision, the collision is cushioned by a hook’s law spring, which provides a perfectly elastic collision. i.Determine the final velocity of each cartafter the spring recoils (after it compresses…arrow_forward
- Q16. As shown in the image below, the 0.6-kg ball strikes the rough ground and rebounds. The directions of its velocities before and after the strike are shown. If the speeds are v₁ = 28 m/s and v₂ = 15 m/s, determine the magnitude of the ball's linear momentum (in kg-m/s) before it strikes the ground. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. V₁ Your Answer: 45° Answer 30° 02arrow_forward3 Problem At the "before" instant shown below, a soccer ball of mass m is rolling horizontally to the left with speed v₁. A soccer player then kicks the ball as shown in the "after" instant, such that it leaves her foot with speed v2 making an angle with the horizontal. The ball just clears her opponent's head (at height h) when it reaches the apex of its projectile trajectory. Assume no drag during the projectile motion. The gravitaitonal acceleration is g. Question: If the soccer player foot makes contact with the ball for T seconds, what is the mag- nitude of the average force vector Favg that her foot exerts on the ball? Write your answer as an expression in terms of the variables: (m, v₁,T, g, h,0) -te Before After V1 V2 0 i h 9arrow_forwardPlease show all work!!arrow_forward
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