Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 9, Problem 105GP

The gravitational slingshot effect. Figure 9–55 shows the planet Saturn moving in the negative x direction at its orbital speed (with respect to the Sun) of 9.6 km/s. The mass of Saturn is 5.69 × 1026 kg. A spacecraft with mass 825 kg approaches Saturn. When far from Saturn, it moves in the +x direction at 10.4 km/s. The gravitational attraction of Saturn (a conservative force) acting on the spacecraft causes it to swing around the planet (orbit shown as dashed line) and head off in the opposite direction. Estimate the final speed of the spacecraft after it is far enough away to be considered free of Saturn’s gravitational pull.

Chapter 9, Problem 105GP, The gravitational slingshot effect. Figure 955 shows the planet Saturn moving in the negative x

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Chapter 9 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 9 - A light object and a heavy object have the same...Ch. 9 - When a person jumps from a tree to the ground,...Ch. 9 - Explain, on the basis of conservation of momentum,...Ch. 9 - Two children float motionlessly in a space...Ch. 9 - A truck going 15 km/h has a head-on collision with...Ch. 9 - If a falling ball were to make a perfectly elastic...Ch. 9 - Prob. 9QCh. 9 - It is said that in ancient times a rich man with a...Ch. 9 - The speed of a tennis ball on the return of a...Ch. 9 - Is it possible for an object to receive a larger...Ch. 9 - How could a force give zero impulse over a nonzero...Ch. 9 - In a collision between two cars, which would you...Ch. 9 - A superball is dropped from a height h onto a hard...Ch. 9 - Prob. 16QCh. 9 - At a hydroelectric power plant, water is directed...Ch. 9 - A squash hall hits a wall at a 45 angle as shown...Ch. 9 - Why can a batter hit a pitched baseball farther...Ch. 9 - Describe a collision in which all kinetic energy...Ch. 9 - Inelastic and elastic collisions are similar in...Ch. 9 - If a 20-passenger plane is not full, sometimes...Ch. 9 - Prob. 23QCh. 9 - Why is the CM of a 1-m length of pipe at its...Ch. 9 - Show on a diagram how your CM shifts when you move...Ch. 9 - Describe an analytic way of determining the CM of...Ch. 9 - Place yourself facing the edge of an open door....Ch. 9 - If only an external force can change the momentum...Ch. 9 - A rocket following a parabolic path through the...Ch. 9 - How can a rocket change direction when it is far...Ch. 9 - In observations of nuclear -decay, the electron...Ch. 9 - Bob and Jim decide to play tug-of-war on a...Ch. 9 - At a carnival game you try to knock over a heavy...Ch. 9 - (I) Calculate the force exerted on a rocket when...Ch. 9 - (I) A constant friction force of 25 N acts on a...Ch. 9 - (II) The momentum of a particle, in SI units, is...Ch. 9 - (II) The force on a panicle of mass m is given by...Ch. 9 - (II) A 145-g baseball, moving along the x axis...Ch. 9 - (II) A 0.145-kg baseball pitched horizontally at...Ch. 9 - (II) A rocket of total mass 3180 kg is traveling...Ch. 9 - (III) Air in a 120-km/h wind strikes head-on the...Ch. 9 - (I) A 7700-kg boxcar traveling 18 m/s strikes a...Ch. 9 - (I) A 9150-kg railroad car travels alone on a...Ch. 9 - (I) An atomic nucleus at rest decays radioactively...Ch. 9 - (I) A 130-kg tackler moving at 2.5 m/s meets...Ch. 9 - (II) A child in a boat throws a 5.70-kg package...Ch. 9 - (II) An atomic nucleus initially moving at 420 m/s...Ch. 9 - (II) An object at rest is suddenly broken apart...Ch. 9 - (II) A 22-g bullet traveling 210 m/s penetrates a...Ch. 9 - (II) A rocket of mass m traveling with speed v0...Ch. 9 - (II) The decay of a neutron into a proton, an...Ch. 9 - A mass mA = 2.0 kg, moving with velocity...Ch. 9 - (II) A 925-kg two-stage rocket is traveling at a...Ch. 9 - (III) A 224-kg projectile, fired with a speed of...Ch. 9 - (I) A 0.145-kg baseball pitched at 35.0 m/s is hit...Ch. 9 - (II) A golf ball of mass 0.045 kg is hit off the...Ch. 9 - (II) A 12-kg hammer strikes a nail at a velocity...Ch. 9 - (II) A tennis ball of mass m = 0.060 kg and speed...Ch. 9 - (II) A 130-kg astronaut (including space suit)...Ch. 9 - (II) Rain is falling at the rate of 5.0 cm/h and...Ch. 9 - (II) Suppose the force acting on a tennis hall...Ch. 9 - (II) With what impulse does a 0.50-kg newspaper...Ch. 9 - (II) The force on a bullet is given by the formula...Ch. 9 - (II) (a) A molecule of mass m and speed v strikes...Ch. 9 - (III) (a) Calclale the impulse experienced when a...Ch. 9 - (III) A scale is adjusted so that when a large,...Ch. 9 - (II) A 0.060-kg tennis ball, moving with a speed...Ch. 9 - (II) A 0.450-kg hockey puck, moving east with a...Ch. 9 - (II) A 0.280-kg croquet ball makes an elastic...Ch. 9 - (II) A hall of mass 0.220 kg that is moving with a...Ch. 9 - (II) A ball of mass m makes a head-on elastic...Ch. 9 - (II) Determine the fraction of kinetic energy lost...Ch. 9 - (II) Show that, in general, for any head-on...Ch. 9 - (III) A 3.0 kg block slides along a frictionless...Ch. 9 - (I) In a ballistic pendulum experiment, projectile...Ch. 9 - (II) (a) Derive a formula for the fraction of...Ch. 9 - (II) A 28-g rifle bullet traveling 210 m/s buries...Ch. 9 - (II) An internal explosion breaks an object,...Ch. 9 - (II) A 920-kg spoils car collides into the rear...Ch. 9 - (II) You drop a 12-g ball from a height of 1.5 m...Ch. 9 - (II) Car A hits car B (initially at rest and of...Ch. 9 - (II) A measure of inelasticity in a head-on...Ch. 9 - (II) A pendulum consists of a mass M hanging at...Ch. 9 - (II) A build of mass m = 0.0010 kg embeds itself...Ch. 9 - (II) A 144-g baseball moving 28.0 m/s strikes a...Ch. 9 - (II) A 6.0-kg object moving in the +x direction at...Ch. 9 - (II) Billiard ball A of mass mA = 0.120 kg moving...Ch. 9 - (II) A radioactive nucleus at rest decays into a...Ch. 9 - (II) Two billiard balls of equal mass move at...Ch. 9 - (II) An atomic nucleus of mass m traveling with...Ch. 9 - (II) A neutron collides elastically with a helium...Ch. 9 - (III) A neon atom (m = 20.0 u) makes a perfectly...Ch. 9 - (III) For an elastic collision between a...Ch. 9 - (III) Prove that in the elastic collision of two...Ch. 9 - (I) The CM of an empty 1250-kg car is 2.50 m...Ch. 9 - (I) The distance between a carbon atom (m = 12 u)...Ch. 9 - (II) Three cubes, of side l0,2l0, and 3l0 are...Ch. 9 - (II) A square uniform raft, 18 m by 18 m, of mass...Ch. 9 - (II) A uniform circular plate of radius 2R has a...Ch. 9 - (II) A uniform thin wire is bent into a semicircle...Ch. 9 - (II) Find the center of mass of the ammonia...Ch. 9 - (III) Determine the CM of a machine part that is a...Ch. 9 - (III) Determine the CM of a uniform pyramid that...Ch. 9 - (III) Determine the CM of a thin, uniform,...Ch. 9 - (II) Mass MA = 35 kg and mass MB = 25 kg. They...Ch. 9 - (II) The masses of the Earth and Moon are 5.98 ...Ch. 9 - (II) A mallet consists of a uniform cylindrical...Ch. 9 - (II) A 55-kg woman and a 72-kg man stand 10.0 m...Ch. 9 - (II) Suppose that in Example 918 (Fig. 932), mII =...Ch. 9 - (II) Two people, one of mass 85 kg and the other...Ch. 9 - (III) A 280-kg flatcar 25 m long is moving with a...Ch. 9 - (III) A huge balloon and its gondola, of mass M,...Ch. 9 - (II) A 3500-kg rocket is to be accelerated at 3.0...Ch. 9 - (II) Suppose the conveyor bell of Example 919 is...Ch. 9 - (II) The jet engine of an airplane takes in 120 kg...Ch. 9 - (II) A rocket traveling 1850 m/s away from the...Ch. 9 - (III) A sled filled with sand slides without...Ch. 9 - A novice pool player is faced with the corner...Ch. 9 - During a Chicago storm, winds can whip...Ch. 9 - A ball is dropped from a height of 1.50 m and...Ch. 9 - In order to convert a tough split in bowling, it...Ch. 9 - A gun fires a bullet vertically into a 1.40-kg...Ch. 9 - A hockey puck of mass 4 m has been rigged 10...Ch. 9 - For the completely inelastic collision of two...Ch. 9 - A 4800-kg open railroad car coasts along with a...Ch. 9 - Consider the railroad car of Problem 92, which is...Ch. 9 - Two blocks of mass mA and mB, resting on a...Ch. 9 - You have been hired as an expert witness in a...Ch. 9 - A meteor whose mass was about 2.0 108 kg struck...Ch. 9 - Two astronauts, one of mass 65 kg and the other 85...Ch. 9 - A 22-g bullet strikes and becomes embedded in a...Ch. 9 - Two balls, of masses mA = 45 g and mB = 65 g, are...Ch. 9 - A block of mass m = 2.20 kg slides down a 30.0...Ch. 9 - In Problem 100 (Fig. 953), what is the upper limit...Ch. 9 - After a completely inelastic collision between two...Ch. 9 - A 0.25-kg skeet (clay target) is fired at an angle...Ch. 9 - A massless spring with spring constant k is placed...Ch. 9 - The gravitational slingshot effect. Figure 955...Ch. 9 - Two bumper cars in an amusement park ride collide...Ch. 9 - In a physics lab, a cube slides down a...Ch. 9 - The space shuttle launches an 850-kg satellite by...Ch. 9 - You are the design engineer in charge of the...Ch. 9 - Astronomers estimate that a 2.0-km-wide asteroid...Ch. 9 - An astronaut of mass 210 kg including his suit and...Ch. 9 - An extrasolar planet can be detected by observing...Ch. 9 - Suppose two asteroids strike head on. Asteroid A...Ch. 9 - (III) A particle of mass mA traveling with speed...
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