A 79.9 kg linebacker (X) is running at 7.79 m/s directly toward the sideline of a football field. He tackles a 96.9 kg running back (0) moving at 9.27 m/s straight toward the goal line, perpendicular to the original direction of the linebacker. As a result of the collision, both players momentarily leave the ground and go out-of-bounds at an angle ø relative to the sideline, as shown in the diagrams. Before impact After impact What is the common speed vf of the players immediately after their impact? Uf = m/s What is the angle o of their motion relative to the sideline?
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- A 45.0-kg skater is traveling due east at a speed of 2.50 m/s. A 70.0-kg skater is moving due south at a speed of 7.40 m/s. They collide and hold on to each other after the collision, managing to move off at an angle south of east, with a speed of vf. Find (a) the angle and (b) the speed vf, assuming that friction can be ignored. (a) Number i (b) Number i Units Units <A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a measurement grid. To add an extra degree of randomness, the coordinates of the center of mass of the three dice are used as well. The masses of the three dice are 11.10 g, 13.70 g, and 17.30 g, and their respective coordinates after one particular throw are (0.2810 m,−0.2330 m), (−0.1910 m,0.2890 m), and (−0.4790 m,−0.2210 m). What are the resulting coordinates of the center of mass of the dice, xcm and ycm? xcm = ? m ycm = ? mA soccer player takes a corner kick, lofting a stationary ball 34.0° above the horizon at 19.0 m/s. If the soccer ball has a mass of 0.425 kg and the player's foot is in contact with it for 4.90 x 10-2 s, find the x- and y-components of the soccer ball's change in momentum and the magnitude of the average force exerted by the player's foot on the ball. HINT (a) the x- and y-components of the soccer ball's change in momentum (in kg - m/s) Apx = kg - m/s %3D Apy kg - m/s (b) the magnitude of the average force exerted by the player's foot on the ball (in N) Need Help? Watch It Read It
- A 20.0-kg toboggan with 58.3-kg driver is sliding down a frictionless chute directed θ = 27.6° below the horizontal at 7.70 m/s when a 55.0-kg woman drops from a tree limb straight down behind the driver. If she drops through a vertical displacement of 2.00 m, what is the subsequent velocity of the toboggan immediately after impact?A 80.1 kg linebacker (X) is running at 6.71 m/s directly toward the sideline of a football field. He tackles a 91.7 kg running back (O) moving at 9.49 m/s straight toward the goal line, perpendicular to the original direction of the linebacker. As a result of the collision, both players momentarily leave the ground and go out‑of‑bounds at an angle ϕ relative to the sideline, as shown in the diagrams. What is the common speed ?f of the players immediately after their impact? What is the angle ϕ of their motion relative to the sideline?Treat the collision as elastic. A moving billiard ball hits an identical (except for color) stationary ball. After the collision, the orange ball always goes off in the positive x-direction. The final speeds are v and V. Calculate the angle θ that the green ball goes off in. (θ should be positive.) V0 = the initial green body's speed = 6 m/s M = the mass of both balls = 6 kg φ = the incoming green ball's angle = 70o It's always a good idea to check your answer with the momentum-conservation and energy-conservation equations.
- A block is released from rest at the top of the frictionless ramp shown in the figure. Mass 1 is 1.53 kg and it is released from a height of 1.01 m above the table. The block collides elastically with block 2, initially at rest. Mass 2 is 4.14 kg. How far from the base of the table does mass 1 eventually land if the table has a height of 2.54 m? (Take the initial direction of block one as positive.)A 375 gram basketball is bounced off of a wooden board, as shown below. It is moving straight down at a speed of 4.75 m/s just before hitting the board, and it is moving with a speed of 3.75 m/s at an angle of 27.5 degrees above the horizontal just after. The ball is in contact with the board for a total of 68.5 milliseconds (ms). A)Find the average force that the board exerts on the ball during the bounce. Give the magnitude of the force in units of Newtons. Give the direction of the force as an angle from the x-axis, in degrees. B) How much kinetic energy is lost as a result of the ball hitting the board? Give your answer in JouleA 0.150-kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.80 m/s. It has a head-on col- lision with a 0.300-kg glider that is moving to the left with a speed of 2.20 m/s. Find the final velocity (magnitude and direction) of each glider if the collision is elastic.
- A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a measurement grid. To add an extra degree of randomness, the coordinates of the center of mass of the three dice are used as well. The masses of the three dice are 10.10 g, 15.50 , and 18.70 g, and their respective coordinates after one particular throw are (0.2230 m, −0.1850 m), (-0.3270 m, 0.1830 m), and (-0.3730 m, −0.2550 m). What are the resulting coordinates of the center of mass of the dice, xcm and yem? Xcm = m Ycm = mIn a game of billiards, the cue ball is traveling eastward when it strikes a second ball that is initially at rest. After the collision, the cue ball moves at 4.65 m/s, 25.0° south of east, and the second ball's speed is 3.11 m/s. At what angle (north of east) does the second ball travel? Assume each ball has a mass of 162 g. Submit A Tries 0/5 What was the speed of the cue ball prior to the collision? Tries 0/5 Is the kinetic energy of the colliding balls conserved? (Ignore the rotation of the balls.) Correct: No Incorrect YesA 83.7 kg linebacker (X) is running at 6.59 m/s directly toward the sideline of a football field. He tackles a 90.4 kg running back (O) moving at 9.49 m/s straight toward the goal line, perpendicular to the original direction of the linebacker. As a result of the collision, both players momentarily leave the ground and go out-of-bounds at an angle o relative to the sideline, as shown in the diagrams. Before impact After impact What is the common speed vf of the players immediately after their impact? UF = m/s What is the angle ø of their motion relative to the sideline? $ =