Concept explainers
Tarzan and Jane in the 21st Century. Tarzan has foolishly gotten himself into another scrape with the animals and must he rescued once again by Jane. The 60.0-kg Jane starts from rest at a height of 5.00 m in the trees and swings down to the ground using a thin, but very rigid. 30.0-kg vine 8.00 m long. She arrives just in time to snatch the 72.0-kg Tarzan from the jaws of an angry hippopotamus. What is Jane’s (and the vine’s) angular speed (a) just before she grabs Tarzan and (b) just after she grabs him? (c) How high will Tarzan and Jane go on their first swing after this daring rescue?
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Additional Science Textbook Solutions
Conceptual Physical Science (6th Edition)
College Physics: A Strategic Approach (4th Edition)
College Physics
University Physics Volume 2
University Physics Volume 1
Essential University Physics: Volume 2 (3rd Edition)
- Two gliders are set in motion on a horizontal air track. A spring of force constant k is attached to the back end of the second glider. As shown in Figure P8.48, the first glider, of mass m1, moves to the right with speed v1, and the second glider, of mass m2, moves more slowly to the right with speed v2. When m1 collides with the spring attached to m2, the spring compresses by a distance xmax, and the gliders then move apart again. In terms of v1, v2, m1, m2, and k, find (a) the speed rat maximum compression, (b) the maximum compression xmax, and (c) the velocity of each glider after m1 has lost contact with the spring.arrow_forwardThe Xanthar mothership locks onto an enemy cruiser with its tractor beam (Fig. P8.14); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at x = 0 when its tractor beams are first engaged, a distance d = 215 xiles from the cruiser. Determine the x-position in xiles of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass M = 185 xons and the cruiser of mass m = 20.0 xons. Figure P8.14arrow_forwardThree runaway train cars are moving on a frictionless, horizontal track in a railroad yard as shown in Figure P11.73. The first car, with mass m1 = 1.50 103 kg, is moving to the right with speed v1 = 10.0 m /s; the second car, with mass m2 = 2.50 103 kg, is moving to the left with speed v2 = 5.00 m/s, and the third car, with mass m3 = 1.20 103 kg, is moving to the left with speed v3 = 8.00 m /s. The three railroad cars collide at the same instant and couple, forming a train of three cars. a. What is the final velocity of the train cars immediately after the collision? b. Would the answer to part (a) change if the three cars did not collide at the same instant? Explain. FIGURE P11.73arrow_forward
- A tennis ball of mass mt is held just above a basketball of mass mb, as shown in Figure P8.22. With their centers vertically aligned, both are released from rest at the same moment so that the bottom of the basketball falls freely through a height h and strikes the floor. Assume an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down because the balls have separated a bit while falling. Next, the two balls meet in an elastic collision. (a) To what height does the tennis ball rebound? (b) How do you account for the height in (a) being larger than h? Does that seem like a violation of conservation of energy? Figure P8.22arrow_forwardA 44.0-kg child finds himself trapped on the surface of a frozen lake, 10.0 m from the shore. The child slips with each step on the frictionless ice and remains the same distance from the shoreline. Egged on by his parents, he throws a 0.750-kg ball he is carrying toward the center of the lake with a horizontal speed of 1.50 m/s, in the direction opposite that of the shoreline. a. Does the act of throwing the ball cause the child to move? If so, what are the speed and the direction of his motion with respect to the Earth? b. What are the forces acting on the child when he throws the ball?arrow_forwardA skateboarder with his board can be modeled as a particle of mass 76.0 kg, located at his center of mass (which we will study in Chapter 9). As shown in Figure P8.49, the skateboarder starts from rest in a crouch-ing position at one lip of a half-pipe (point ). The half-pipe is one half of a cylinder of radius 6.80 m with its axis horizontal. On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 630 m. (a) Find his speed at the bottom of the half-pipe (point (b) Immediately after passing point he stands up and raises his arms, lifting his center of mass from 0.500 in to 0.950 m above the concrete (point ). Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.85 m. His body is horizontal when he passes point , the far lip of the half-pipe. As he passes through point , the speed of the skateboarder is 5.14 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy in the skateboarderEarth system when he stood up at point ? (c) How high above point does he rise? Caution: Do not try this stunt yourself without the required skill and protective equipment. Figure P8.49arrow_forward
- Tarzan, who has a mass of 85 kgkg, holds onto the end of a vine that is at a 12 ∘∘ angle from the vertical. He steps off his branch and, just at the bottom of his swing, he grabs onto his chimp friend Cheetah, whose mass is 45 kgkg. What is the maximum angle the rope reaches as Tarzan swings to the other side?arrow_forwardA 0.12.kg bullet moving 215.m/s hits a 6.7 kg block of wood at rest. If the bullet becomes embedded in the wood (and if the block of wood is free to move), what is the speed of the system immediately after the impact? What percent of the kinetic energy is lost due to the impact? Speed: 4.604.m/s 4.139_m/s С. D. 4.444.m/s 4.007 m/s 3.783_m/s А. В. Е. 4.285_m/s F. /--/ Percent: 114.60 percent 98.24 percent 111.20 percent 101.70 percent 94.82 percent 106.30 percent А. D. В. Е. С. F.arrow_forwardA 31.6-g rifle bullet traveling 221. m/s buries itself in a 2.11-kg pendulum hanging on a 2.45-m-long string, which makes the pendulum swing upward in an arc. Determine how high (in m) the pendulum swings above its original position.arrow_forward
- Tarzan, who has a mass of 80 kg, holds onto the end of a vine that is at a 12° angle from the vertical. He steps off his branch and, just at the bottom of his swing, he grabs onto his chimp friend Cheetah, whose mass is 40 kg. What is the maximum angle the rope reaches as Tarzan swings to the other side?arrow_forwardA 0.02-kg bullet collides with a 5.75-kg pendulum. After the collision, the bullet remains embedded onto the pendulum and the pair swings up to a maximum height of 0.386m. What is the initial speed of the bullet?arrow_forwardJames decides to use a ball tides to stiff rod to take out Kevin. He first needs to test this idea out on a small scale. A steel ball of mass 0.500 kg is fastened to a cord that is 70.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal (see figure below). At the bottom of its path, the ball strikes a 2.50 kg steel block initially at rest on a frictionless surface. The collision is elastic. a) Find speed of the ball just before impact. b) Find the speed of the block just after impact. (SHOW ALL WORK, UNITS AND FORMULAS USED)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning