Concept explainers
You’re al the state fair. A sideshow barker claims that the star of the show can throw a 7.3-kg Olympic-style hammer “faster than a speeding bullet.” You recall that bullets travel at several hundreds of meters per second. The burly hammer thrower whirls the hammer in a circle that you estimate to be 2.4 m in diameter. You guess the chain holding the hammer makes an angle of 10° with the horizontal. When the hammer flies off, is it really moving faster than a bullet?
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Essential University Physics (3rd Edition)
Additional Science Textbook Solutions
Physics for Scientists and Engineers with Modern Physics
The Cosmic Perspective Fundamentals (2nd Edition)
Lecture- Tutorials for Introductory Astronomy
Essential University Physics: Volume 1 (3rd Edition)
Tutorials in Introductory Physics
The Cosmic Perspective (8th Edition)
- A car (mass 1000 kg) is traveling at 60 mph (26.82 m/s) when the driver notices a cat 50 m ahead in the road. Wanting to save the feline's life, the driver slams on the brakes and comes to a stop 2 m in front of the cat. What was the car's acceleration as it was braking?arrow_forwardSpaceman Spiff needs to turn his 700 kg rocket and go in the opposite direction to escape the Zoks. He begins by is traveling through space at 3710 m/s when he reverses his course, going in the opposite direction with a speed of 5781 m/s. If his rocket thrusters push his craft with 87000 N of force, how long must he fire his rockets to make the change? 17 sarrow_forwardMartin is spinning a rope over his head with a weight attached to the end. The rope has a length of 1.7 m, and Martin spins it so that the weight has a velocity of 5.9 m/s. If the rope can only withstand a force of 88 N, what is the maximum mass the weight can have?arrow_forward
- A child with mass of 16.5 kg stands on the edge of a park bench and leaps into the air. Her initial speed is 2.4 m/s directed at an angle of 30 degrees above the horizontal. After 0.28 seconds what is the horizontal component of her velocity in m/s?arrow_forwardSpring Gun: Planet X was just discovered orbiting a nearby star! It orbits a start that is 6.9 times the mass of our sun in a solar system just 31.3 light-years away. The acceleration due to gravity there is 0.07 g. After making some measurements in lab, you start to daydream about travel to other planets. Your spring gun can launch a projectile with a speed of 3.7 m/s. What would happen if you were to launch a projectile at an angle of 32 ° above horizontal on Planet X? (a) What maximum height would the projectile reach? (b) How far would the projectile travel before it hit the ground? Assume the projectile lands at the same height it was launched from.arrow_forwardll Problem Three. Consider two planets: Neptune with a mass of m, × 1.02×10% kg and Uranus with a mass of m, = 8.68 x10*kg. The planets are a distance of d =1.62×10°km apart. Let Neptune be at the origin of a coordinate system, and Uranus be along the positive x-axis. (See the diagram below.) m2 X Find the location "x" where a test particle would accelerate toward the two planets with a force that is half due to Neptune, and half due to Uranus. Give an answer in 1010 km. 7.) (A) 5.6 B) 3.6 (C) 9.4 (D) 2.1 (E) 8.9 Consider if a large asteroid of mass m =1.00×10²ºkg is a distance d above m. Find the magnitude of the gravitational force the asteroid experiences due to both planets. Give an answer in units of 1010 N. 8.) (A) 35 (B) 83 (C) 71 (D) 53 (E) 98arrow_forward
- An object is dropped from an altitude of one Earth radius above Earth's surface. If M is the mass of Earth and R is its radius, the speed of the object just before it hits Earth is given by: GM R 0 GM 2R O GM V2R 0 GM VR 2GM Rarrow_forwardAn aging coyote (m = 42.1 kg) cannot run fast enough to catch a roadrunner (m = 16.3 kg). He purchases a set of jet-powered roller skates, which proved a constant horizontal acceleration of 15.2 m/s2. The coyote starts at rest 73.2 m from the edge of a cliff at the instant the roadrunner zips past in the direction of the cliff. Hint: their initial positions at the top of the cliff are the same. a. Determine the minimum constant speed the roadrunner must have to reach the cliff before the coyote. b. At the edge of the cliff, the roadrunner escapes by making a sudden turn, while the coyote continues straight ahead. The coyote’s skates remain horizontal and continue to operate while he is in flight, so his acceleration while he is in the air is (15.2i – 9.80j) m/s2. The cliff is 127 m above the flat floor of the desert. Determine how far from the base of the vertical cliff the coyote lands. c. Determine the components of the coyote’s impulse upon impact.arrow_forwardA 747 jetliner lands and begins to slow to a stop as it moves along the runway. If its mass is 3.50×105 kg, its speed is 68.0 m/s, and the net braking force is 4.30×105N, what is its speed 11.0 s later? How far has it traveled in this time?arrow_forward
- A pendulum has a length l (the rope is massless). The mass of the object suspended from the pendulum is m. With rope horizontal θ = 90o When it makes an angle of degrees, we first leave the object at no speed. Any friction can be neglected. Gravitational acceleration g. Give your answers in terms of l, m and g. When = 0o, what is the tension in the rope?arrow_forwardYou go where no one has gone before and discover an interesting planet of radius r. When you arrive, you clearly want to do some experiments to learn more about this world. You begin with some simple kinematics and measure the time t for an object thrown directly up with velocity vi to return to your hand. With this information, you find that the acceleration due to gravity g is much lower than on Earth. a) Find the mass of the planet mp in terms of vi, t, r, and any necessary constants. b) You decide to orbit the planet in your spacecraft at a distance R above the surface of the planet. Find the time required to complete one orbit in terms of R, r, Vi, t, and any necessary constants. c) Find the escape velocity ve– the initial velocity necessary for an object to barely escape the gravitational pull of the planet. Express your answer in terms of Vi, r, t, and any necessary constants. d) Find the distance from the planet's center at which an object launched from the surface with…arrow_forwardI. A 10.0 kg mass is acted on by the two forces: F = (3.0N)î + (2.0N)j and F, = (10.0N)i + (-7.0N) a) Express the summation of these two forces in unit vector notation. That is: %3D %3! F=F F+F, b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation form. c) What is the direction of the acceleration (give the angle of acceleration with the x axis) and its magnetitude?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill