Concept explainers
Landing on Mars When the twin exploration rovers, Spirit and Opportunity, landed on Mars, their method of landing was unique and elaborate. After initial braking with rockets and parachutes to a virtual standstill several meters above the ground, the rovers inflated four air bags with six lobes each. The rovers wore thon detached from the parachutes and allowed to drop in free fall (3.72 m/s2) to the surface, where they bounced about 12 times before coming to rest. They then deflated their air bags, righted themselves, and began to explore the surface Figure 4-32 shows a rover with its surrounding cushion of air bags making its first contact with the Martian surface. Assume that the first bounce of the rover is with an initial speed of 9.92 m/s at an angle of 75.0° above the horizontal. (a) What is the maximum height of a rover between its first and second bounces? (b) How much time elapses between the first and second bounces? (c) How far does a rover travel in the horizontal direction between its first and second bounces?
Figure 4-32
Problem 80
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Physics (5th Edition)
Additional Science Textbook Solutions
Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 1 (3rd Edition)
Introduction to Electrodynamics
Lecture- Tutorials for Introductory Astronomy
College Physics (10th Edition)
An Introduction to Thermal Physics
- The earliest drop towers were used for the purpose of making lead shots for muskets. The procedure involved releasing droplets of molten lead from the top of the tower. As the droplets of lead fell through the tower, they formed a spherical droplet. If given enough free-fall time, the droplet of molten lead would solidify to form the perfect spherical shot. The tallest of these drop towers in the United States was a 230-foot tower built in Baltimore. Suppose that lead free falls through a drop tower for a distance of 63.9 meters a) Determine how much time (in seconds) it takes the lead shot to fall this distance of 63.9 meters. b) Determine how fast (in m/s) the lead shot is moving after free falling for 63.9 meters, right before hitting the groundarrow_forwardCES Chapter 13, Problem 010 GO Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A has mass m, = 5 g, particle B has mass 2.00ma, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00ma, is to be placed near the other three particles. What (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero (d = 17 cm)? em em BO plem 1.5d blem oblem roblem Units (a) Number Problem Units (b) Number Problem Click if you would like to Show Work for this question: Open Show Workarrow_forwardYou are on a space station, in a circular orbit h = 500 km above the surface of the Earth. You complete your tasks several days early and must wait for the next mission from the surface to bring you home. After days of boredom, you decide to play some golf. Walking on the space station surface with magnetic shoes, you tee up a golf ball. You hit it with all of your might, sending it off with speed υrel, relative to the space station, in a direction parallel to the velocity vector of the space station at the moment the ball is hit. You notice that you then orbit the Earth exactly n = 2.00 times and you reach up and catch the golf ball as it returns to the space station. With what speed υrel was the golf ball hit?arrow_forward
- You are on a space station, in a circular orbit h = 475 km above the surface of the Earth. You complete your tasks several days early and must wait for the next mission from the surface to bring you home. After days of boredom, you decide to play some golf. Walking on the space station surface with magnetic shoes, you tee up a golf ball. You hit it with all of your might, sending it off with speed vrel relative to the space station, in a direction parallel to the velocity vector of the space station at the moment the ball is hit. You notice that you then orbit the Earth exactly n = 2.00 times and you reach up and catch the golf ball as it returns to the space station. With what speed vrel (in m/s) was the golf ball hit? Note: Your result will be unrealistically high-much higher than it is possible for a human to hit a golf ball. m/sarrow_forwardSuppose we race a disk and a hollow spherical shell, like a basketball. The spherical shell has a mass M and a radius R; the disk has a mass 2M and a radius 2 R. If the two objects are release at rest, and the height of the ramp is h=.81 m, find the speed of the disk and the spherical shell when they reach the bottom of the ramparrow_forwardA team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density ? = 2.67 × 106 g/m3 and volume V =1.71 × 1012 m3. Recall that the universal gravitational constant is G = 6.67 × 10-11 (Nm2)/(kg2).arrow_forward
- A package of mass 8 kg sits at the equator of an airless asteroid of mass 3.0 x 1020 kg and radius 1.3 x 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 208 m/s. We have a large and powerful spring whose stiffness is 2.7 x 105 N/m. How much must we compress the spring? | compression (a positive number) = marrow_forwardIn a train crash, a train of mass 1.85 x 104 kg collides with a stationary train of mass 2.20 x 104 kg at a speed of u = 20.0 ms-1. Filling the crash, they connect and move at the same speed. There is no friction. The train driver blows a whistle which is open at one end and closed at the other. It has a length of 0.480m . The speed of sound in air is 343 ms-1. 1. Draw a diagram of the standing wave pattern of the air pressure in the whistle for its fundamental resonant frequency. Label the open and closed ends of the whistle. 2. calculate the frequency of the sound made by the whistles fundamental resonance.arrow_forwardAn interesting story is often told of baseball star Johnny Bench when he was a rookie catcher in 1968. During a Spring Training game, he kept signaling to star pitcher Jim Maloney to throw a curve ball. Maloney continuously shook off Bench's signal, opting to throw fastballs instead. The rookie catcher walked to the mound and told the veteran Maloney that his fastball wasn't fast enough and that he should throw some curve balls. Bench again signaled for a curve. Maloney shook of the signal and threw a fastball. Before the ball reached the plate, Bench took off his glove; he then caught the pitch barehanded. Determine the impulse required to stop a 0.145-kg baseball moving at 35.7 m/s (80.0 mi/hr). Answer ______________ If this impulse is delivered to the ball in 0.020 seconds, then what is the force acting between the bare hand and the ball? Answer ______________arrow_forward
- An interesting story is often told of baseball star Johnny Bench when he was a rookie catcher in 1968. During a Spring Training game, he kept signaling to star pitcher Jim Maloney to throw a curve ball. Maloney continuously shook off Bench's signal, opting to throw fastballs instead. The rookie catcher walked to the mound and told the veteran Maloney that his fastball wasn't fast enough and that he should throw some curve balls. Bench again signaled for a curve. Maloney shook of the signal and threw a fastball. Before the ball reached the plate, Bench took off his glove; he then caught the pitch barehanded. a. Determine the impulse required to stop a 0.145-kg baseball moving at 35.7 m/s (80.0 mi/hr).b. If this impulse is delivered to the ball in 0.020 seconds, then what is magnitude of the force acting between the bare hand and the ball?arrow_forwardYou are coasting along on your bike (that has a 0.66 m diameter tire), You notice a twig in your spoke (at 1/2 the radius of the tire) hits the bike frame once per second. What is your speed in m/s?arrow_forwardNeed answerASAP.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics 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