Explanation Write the equation for the y component of the gravitational force. F y = − ∂ U ∂ y (I) Here, F y is the y component of the gravitational force and U is the gravitational potential. Write the equation for the gravitational potential. U = − G M m y (II) Here, G is the universal gravitation constant, M is the mass of the earth and m is the mass of the object. Write the equation for the x component of the gravitational force. F x = − ∂ U ∂ x (III) Here, F x is the x component of the gravitational force Conclusion: Put equation (II) in equation (I) to find F y

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Chapter 6.17, Problem 18CP

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The x and y components of the gravitational force.

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Chapter 6.12, Problem 17CP

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Chapter 6 Solutions

Matter and Interactions

Ch. 6.2 - An electron has mass 9 × 10−31 kg. If the...Ch. 6.2 - Prob. 2CP Ch. 6.3 - A paper airplane flies from position ⟨6, 10, −3⟩ m...Ch. 6.3 - In each of the following cases state whether the...Ch. 6.3 - You push a heavy crate out of a carpeted room and...Ch. 6.4 - EXAMPLE Figure 6.18 Throwing a ball. Throwing a...Ch. 6.4 - In the preceding example, at the final speed,...Ch. 6.5 - Prob. 8CP Ch. 6.7 - Prob. 9CP Ch. 6.8 - Prob. 10CP

Ch. 6.8 - Prob. 11CP Ch. 6.9 - Prob. 12CP Ch. 6.10 - Prob. 13CP Ch. 6.10 - Prob. 14CP Ch. 6.10 - Prob. 15CP Ch. 6.12 - Prob. 16CP Ch. 6.12 - Prob. 17CP Ch. 6.17 - Prob. 18CP Ch. 6 - Prob. 1Q Ch. 6 - Give brief explanations for your answers to each...Ch. 6 - You pull a block of mass m across a frictionless...Ch. 6 - One often hears the statement, “Nuclear energy...Ch. 6 - Figure 6.76 shows the path of a comet orbiting a...Ch. 6 - Figure 6.77 is a graph of the energy of a system...Ch. 6 - A particle moves inside a circular glass tube...Ch. 6 - Show the validity of the relation when m ≠ 0, by...Ch. 6 - It is not very difficult to accelerate an electron...Ch. 6 - A pitcher can throw a baseball at about 100 mi/h...Ch. 6 - What is the speed of an electron whose total...Ch. 6 - The point of this question is to compare rest...Ch. 6 - The point of this question is to compare rest...Ch. 6 - A runner whose mass is 60 kg runs in the +x...Ch. 6 - A baseball of mass 144 g has a velocity of ⟨22,...Ch. 6 - One mole of helium atoms has a mass of 4 grams. If...Ch. 6 - You throw a ball of mass 160 g upward (Figure...Ch. 6 - A fan cart of mass 0.8 kg initially has a velocity...Ch. 6 - You push a crate 3 m across the floor with a 40 N...Ch. 6 - You pull your little sister across a flat snowy...Ch. 6 - A 2-kg ball rolls off a 30-m-high cliff, and lands...Ch. 6 - A boat is coasting toward a dock you’re standing...Ch. 6 - A jar of honey with a mass of 0.5 kg is nudged off...Ch. 6 - A constant force ⟨23, −12, 32⟩ N acts through a...Ch. 6 - One end of a spring whose spring constant is 20...Ch. 6 - An electron traveling through a curving wire in an...Ch. 6 - You bring a boat toward the dock by pulling on a...Ch. 6 - You push a box out of a carpeted room and along a...Ch. 6 - A ball of mass 0.7 kg falls downward, as shown in...Ch. 6 - A lithium nucleus has mass 5.1 × 10−27 kg. If its...Ch. 6 - A space probe in outer space has a mass of 111 kg,...Ch. 6 - An object with mass 100 kg moved in outer space....Ch. 6 - Outside the space shuttle, you and a friend pull...Ch. 6 - A crate with a mass of 100 kg glides through a...Ch. 6 - An object with mass 120 kg moved in outer space...Ch. 6 - An object with mass 120 kg moved in outer space....Ch. 6 - Jack and Jill are maneuvering a 3000 kg boat near...Ch. 6 - An electron traveling at a speed 0.99c encounters...Ch. 6 - A mass of 0.12 kg hangs from a vertical spring in...Ch. 6 - Prob. 43P Ch. 6 - A proton (1.6726 × 10−27 kg) and a neutron (1.6749...Ch. 6 - Many heavy nuclei undergo spontaneous “alpha...Ch. 6 - You throw a ball straight up, and it reaches a...Ch. 6 - A 1 kg block rests on the Earth’s surface. How...Ch. 6 - An object with mass 7 kg moves from a location...Ch. 6 - Prob. 52P Ch. 6 - Use energy conservation to find the approximate...Ch. 6 - Under certain conditions the interaction between a...Ch. 6 - (a) A 0.5 kg teddy bear is nudged off a window...Ch. 6 - You throw a ball of mass 1.2 kg straight up. You...Ch. 6 - Suppose that a pitcher can throw a ball straight...Ch. 6 - Prob. 58P Ch. 6 - Prob. 59P Ch. 6 - The escape speed from an asteroid whose radius is...Ch. 6 - The escape speed from a very small asteroid is...Ch. 6 - Prob. 62P Ch. 6 - A spacecraft is coasting toward Mars. The mass of...Ch. 6 - Prob. 64P Ch. 6 - Prob. 65P Ch. 6 - You stand on a spherical asteroid of uniform...Ch. 6 - Prob. 67P Ch. 6 - Prob. 68P Ch. 6 - A pendulum (see Figure 6.84) consists of a very...Ch. 6 - Prob. 70P Ch. 6 - Prob. 71P Ch. 6 - Four protons, each with mass M and charge +e, are...Ch. 6 - Prob. 74P

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