EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.48 x 10 m/s relative to the Sun.
What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the
rotation of the Earth. (Consider the mass of the Sun in your calculations.)
Your response differs from the correct answer by more than 10%. Double check your calculations. m/s
(b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to
increase the speed of a probe to the escape speed from the solar system, which is 1.85 x 10 m/s from a point on Jupiter's orbit around the
Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10 x 10 m/s relative to the Sun, what is the
increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar…
Two stars each of one solar mass (= 2×1030 kg) are approaching each other for a head on collision. When they are a distance 109 km, their speeds are negligible. What is the speed with which they collide ? The radius of each star is 104 km. Assume the stars to remain undistorted until they collide. (Use the known value of G)
(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of
5.34 x 104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore
atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your
calculations.)
m/s
(b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a
"gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is
1.85 x 104 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from
the Earth's surface at a speed of 4.10 x 104 m/s relative to the Sun, what is the increase in speed needed from the
gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s)? (Assume that the Earth and
the point on Jupiter's orbit lie along the same…
Chapter 8 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 8.2 - By how much does the potential energy change when...Ch. 8.4 - In Example 83, what is the rock's speed just...Ch. 8.4 - Two balls are released from the same height above...Ch. 8 - List some everyday forces that are not...Ch. 8 - You lift a heavy book from a table to a high...Ch. 8 - Analyze the motion of a simple swinging pendulum...Ch. 8 - Prob. 4QCh. 8 - A coil spring of mass m rests upright on a table....Ch. 8 - Experienced hikers prefer to step over a fallen...Ch. 8 - (a) Where does the kinetic energy come from when a...
Ch. 8 - Can the total mechanical energy E=K+Uever be...Ch. 8 - Describe the energy transformations when a child...Ch. 8 - Prob. 10QCh. 8 - Recall from Chapter 4, Example 414, that you can...Ch. 8 - Two identical arrows, one with twice the speed of...Ch. 8 - In Mg. 825, water balloons are tossed from the...Ch. 8 - Suppose that you wish to launch a rocket from the...Ch. 8 - Suppose you lift a suitcase from the floor to a...Ch. 8 - Repeat Question 23 for the power needed instead of...Ch. 8 - Why is it easier to climb a mountain via a zigzag...Ch. 8 - Prob. 18QCh. 8 - Prob. 19QCh. 8 - (a) Describe in detail the velocity changes of a...Ch. 8 - Prob. 1MCQCh. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Prob. 13MCQCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - (II) A particle is constrained to move in one...Ch. 8 - (II) If U=3x2+2xy+4y2z, what is the force, F?Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - (I) Jane, looking for Tarzan, is running at top...Ch. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - (II) A roller-coaster car shown in Fig. 832 is...Ch. 8 - (II) When a mass m sits at rest on a spring, the...Ch. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - (III) A skier of mass m starts from rest at the...Ch. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - (II) A ski starts from rest and slides down a 28...Ch. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - (III) A spring (k = 75 N/m) has an equilibrium...Ch. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - (I) For a satellite of mass mS in a circular orbit...Ch. 8 - (II) Show that Eq. 816 for gravitational potential...Ch. 8 - (II) Determine the escape velocity from the Sun...Ch. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - (II) Take into account the Earths rotational speed...Ch. 8 - (II) (a) Determine a formula for the maximum...Ch. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - (II) How much work would be required to move a...Ch. 8 - (II) A sphere of radius r1 has a concentric...Ch. 8 - (II) (a) Show that the total mechanical energy of...Ch. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Prob. 56PCh. 8 - (I) An 85-kg football player traveling 5.0 m/s is...Ch. 8 - (I) If a car generates 18 hp when traveling at a...Ch. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 69PCh. 8 - (III) A bicyclist coasts clown a 6.0 hill at a...Ch. 8 - Draw a potential energy diagram, U vs. x, and...Ch. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - (III) The potential energy of the two atoms in a...Ch. 8 - (III) The binding energy of a two-particle system...Ch. 8 - Prob. 78GPCh. 8 - Prob. 79GPCh. 8 - Prob. 80GPCh. 8 - Prob. 81GPCh. 8 - A ball is attached to a horizontal cord of length ...Ch. 8 - Show the h must be greater than 0.60 if the ball...Ch. 8 - Prob. 84GPCh. 8 - Prob. 85GPCh. 8 - Prob. 86GPCh. 8 - Prob. 87GPCh. 8 - Prob. 88GPCh. 8 - The small mass m sliding without friction along...Ch. 8 - Some electric power companies use water to store...Ch. 8 - A film of Jesse Owenss famous long jump (Fig. 849)...Ch. 8 - The nuclear force between two neutrons in a...Ch. 8 - Prob. 93GPCh. 8 - A fire hose for use in urban areas must be able to...Ch. 8 - Prob. 95GPCh. 8 - (II) (a) Suppose we have three masses, m1, m2, and...Ch. 8 - Prob. 97GPCh. 8 - Prob. 98GPCh. 8 - Prob. 99GPCh. 8 - Suppose the gravitational potential energy of an...Ch. 8 - A particle of mass m moves under the influence of...Ch. 8 - Prob. 102GPCh. 8 - Prob. 103GPCh. 8 - Prob. 104GP
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- A space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/sarrow_forwardTwo particles of equal mass (m) move in a circle of radius (r) under the action of their mutual gravitational attraction. The speed of each particle is GM (a) 2r GM (b) 4r Mr (c) V 2G 4r (d) V GMarrow_forward(a) Evaluate the gravitational potential energy between two 5.00-kg spherical steel balls separated by a center-tocenter distance of 15.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast will they be traveling upon impact. Each sphere has a radius of 5.10 cm.arrow_forward
- The lunar module orbits first 110 km above the surface of the Moon at a speed of 1.63 km/h and then it's with a short engine jerk directed towards the Moon. At what speed does it collide with the Moon?arrow_forward(a) Evaluate the gravitational potential energy (in J) between two 9.00 kg spherical steel balls separated by a center-to-center distance of 23.0 cm. -2.349E-8 J (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. 10.90 X m/sarrow_forwardAn average-sized asteroid located 5.0 × 107 km from Earth with mass 2.0 × 1013 kg is detected headed directly toward Earth with speed of 2.0 km/s. What will its speed be just before it hits our atmosphere? (You may ignore the size of the asteroid.)arrow_forward
- (a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/sarrow_forwardAn average-sized asteroid located 2.0 ✕ 107 km from Earth with mass 2.5 ✕ 1013 kg is detected headed directly toward Earth with speed of 8.0 km/s. What will its speed be (in km/s) just before it hits our atmosphere? (You may ignore the size of the asteroid. Assume the height of our atmosphere is 100 km.)arrow_forward[a] An asteroid with mass X kilograms (kg) is moving eastward at Y meters per second (m/s) collides another asteroid, also with mass X kg, which is moving northward at Z m/s. They stick together and keep moving through space. Draw a diagram of this interaction, labeling all the relevant objects, quantities, and velocity vectors before and after the collision. [b] What is the velocity (magnitude and direction) of the two asteroids after they collide? Your answer should be significant to two digits.arrow_forward
- The first known collision between space debris and a functioning satellite occurred in 1996: At an altitude of 700 km, a yearold French spy satellite was hit by a piece of an Ariane rocket.A stabilizing boom on the satellite was demolished, and the satellite was sent spinning out of control. Just before the collision and in kilometers per hour, what was the speed of the rocket piece relative to the satellite if both were in circular orbits and the collision was (a) head-on and (b) along perpendicular paths?arrow_forward15-113. An earth satellite of mass 700 kg is launched into a free-flight trajectory about the earth with an initial speed of va = 10 km/s when the distance from the center of the earth is ra = 15 Mm. If the launch angle at this position is dA = 70°, determine the speed vg of the satellite and its closest distance rg from the center of the earth. The earth has a mass M. = 5.976(10²4) kg. Hint: Under these conditions, the satellite is subjected only to the earth's gravitational force, F = GM ¸m,/r, Eq. 13–1. For part of the solution, use the conservation of energy. в TAarrow_forwardA binary-star system contains a visible star and a black hole moving around their center of mass in circular orbits with radii r1 and r2 , respectively. The visible star has an orbital speed of v=5.36x105 ms-1 and a mass of m1 =5Ms ,where Ms= 1.98x1030kg is the mass of our Sun. Moreover, the orbital period of the visible star is T = 30 hours.(a) What is the radius r1 of the orbit of the visible star?(b) Calculate the mass m2 of the black hole in terms of MS . [Hint: One root of the equation x3 = 20a(5a+x)2 , where a is a constant, is x = 28a .]arrow_forward
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