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According to the universal law of gravitation,if you triple the distance between two objects,then the gravitational force between them will


A) increase by a factor of 3.
B) decrease by a factor of 3.
C) decrease by a factor of 6.
D) increase by a factor of 9.
E) decrease by a factor of 9.

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What is the difference between a bound orbit and an unbound orbit around the Sun?


A) A bound orbit is an orbit allowed by the universal law of gravitation,and an unbound orbit is not.
B) An object on a bound orbit has a gravitational attraction to the Sun,while an object on an unbound orbit does not.
C) A bound orbit is circular,while an unbound orbit is elliptical.
D) An object on a bound orbit follows the same path around the Sun over and over,while an object on an unbound orbit approaches the Sun just once and then never returns.

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Considering Einstein's famous equation,E = mc²,which of the following statements is true?


A) Mass can be turned into energy,but energy cannot be turned back into mass.
B) It takes a large amount of mass to produce a small amount of energy.
C) A small amount of mass can be turned into a large amount of energy.
D) You can make mass into energy if you can accelerate the mass to the speed of light.
E) One kilogram of mass represents 1 joule of energy.

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What does temperature measure?


A) the average mass of particles in a substance
B) the average size of particles in a substance
C) the average kinetic energy of particles in a substance
D) the total number of particles in a substance
E) the total potential energy of particles in a substance

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Imagine another solar system,with a star more massive than the Sun.Suppose a planet with the same mass as Earth orbits at a distance of 1 AU from the star.How would the planet's year (orbital period) compare to Earth's year?


A) The planet's year would be longer than Earth's.
B) The planet's year would be shorter than Earth's.
C) The planet's year would be the same as Earth's.
D) An orbit at a distance of 1 AU would not be possible around a star more massive than the Sun.

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Suppose you kick a soccer ball straight up to a height of 10 meters.Which of the following is true about the gravitational potential energy of the ball during its flight?


A) The ball's gravitational potential energy is greatest at the instant it returns to hit the ground.
B) The ball's gravitational potential energy is greatest at the instant when the ball is at its highest point.
C) The ball's gravitational potential energy is always the same.
D) The ball's gravitational potential energy is greatest at the instant the ball leaves your foot.

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Briefly explain why Earth feels a greater tidal force from the Moon than from the Sun,even though it feels a greater gravitational force from the Sun.

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Tidal force depends on the difference in...

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Imagine we've discovered a planet orbiting another star at 1 AU every 6 months.The planet has a moon that orbits the planet at the same distance as our Moon,but it takes 2 months.What can we infer about this planet?


A) It is more massive than Earth.
B) It is less massive than Earth.
C) It has the same mass as Earth.
D) We cannot answer the question without knowing the mass of the star.
E) We cannot answer the question without knowing the mass of the moon.

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Newton's Second Law of Motion tells us that the net force applied to an object equals its


A) mass times acceleration.
B) mass times energy.
C) momentum times velocity.
D) mass times velocity.

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According to what we now know from Newton's laws,which of the following best explains why Kepler's second law is true?


A) A planet's angular momentum must be conserved as it moves around its orbit.
B) Orbits must be elliptical in shape.
C) Gravity is an inverse cube law.
D) This effect happens because of the influence of other planets on a particular planet's orbit.

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Which of the following is not a conserved quantity?


A) energy
B) momentum
C) angular momentum
D) radiation

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Suppose you lived on the Moon.Which of the following would be true?


A) Your weight would be less than your weight on Earth,but your mass would be the same as it is on Earth.
B) Both your weight and your mass would be less than they are on Earth.
C) Your mass would be less than your mass on Earth,but your weight would be the same as it is on Earth.
D) Both your weight and your mass would be the same as they are on Earth.

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Each of the following lists two facts.Which pair can be used with Newton's version of Kepler's third law to determine the mass of the Sun?


A) Mercury is 0.387 AU from the Sun,and Earth is 1 AU from the Sun.
B) The mass of Earth is 6 × 10²⁴ kg,and Earth orbits the Sun in 1 year.
C) Earth rotates in 1 day and orbits the Sun in 1 year.
D) Earth is 150 million km from the Sun and orbits the Sun in 1 year.
E) Jupiter is the most massive planet and has a mass of 1.9 × 10²⁷ kg.

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Which of the following statements correctly describes the law of conservation of energy?


A) An object always has the same amount of energy.
B) Energy can change between many different forms,such as potential,kinetic,and thermal,but it is ultimately destroyed.
C) The total quantity of energy in the universe never changes.
D) The fact that you can fuse hydrogen into helium to produce energy means that helium can be turned into hydrogen to produce energy.
E) It is not really possible for an object to gain or lose potential energy,because energy cannot be destroyed.

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According to the universal law of gravitation,if you triple the distance between two objects,then the gravitational force between them


A) increases by a factor of 9.
B) decreases by a factor of 9.
C) decreases by a factor of 3.
D) increases by a factor of 3.

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A skater can spin faster by pulling her arms closer to her body or spin slower by spreading her arms out from her body.This is due to


A) the law of gravity.
B) Newton's third law.
C) conservation of momentum.
D) conservation of angular momentum.
E) conservation of energy.

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Explain how we can use Newton's version of Kepler's third law to measure the total mass of two stars in a binary system.

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By observing the stars with a telescope,...

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Suppose an object is moving in a straight line at 50 miles/hr.According to Newton's first law of motion,the object will


A) continue to move in the same way forever,no matter what happens.
B) continue to move in the same way until it is acted upon by a force.
C) eventually slow down and come to a stop.
D) continue to move in a straight line forever if it is in space,but slow and stop otherwise.
E) continually slow down but never quite come to a complete stop.

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Suppose you heat an oven to 400°F and boil a pot of water.Which of the following explains why you would be burned by sticking your hand briefly in the pot but not by sticking your hand briefly in the oven?


A) The water can transfer heat to your arm more quickly than the air.
B) The water has a higher temperature than the oven.
C) The molecules in the water are moving faster than the molecules in the oven.
D) The oven has a higher temperature than the water.

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Which of the following scenarios correctly demonstrates the transformation of mass into energy as given by Einstein's equation,E = mc²?


A) When hydrogen is fused into helium,whether in the Sun or in a nuclear bomb,the mass difference is turned into energy.
B) An object accelerated to a great speed has a lot of kinetic energy.
C) A mass raised to a great height has a lot of gravitational potential energy.
D) When you boil a pot of water,it has a high heat content,or thermal energy.
E) A burning piece of wood produces light and heat,therefore giving off radiative and thermal energy.

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