The mass of a meteor with a radius of 1 km is about 9 x 1012 kg. The mass of a meteor also is proportional to the cube of its radius. Suppose a meteor with a radius of 8.8 km is moving at 1.7 x 104 m/s when it collides inelastically with the Earth. The Earth has a mass of 5.97 x 1024 kg and assume the Earth is stationary. The kinetic energy lost by the asteroid in this collision will be transferred to non-conservative work in heating the atmosphere and physically destroying the place where it lands. The Tsar Bomb, the largest atomic bomb ever tested, released 2.1 x 1017 J of energy. (Which, by the way, is 1000's of times more energy compared to the atomic bombs dropped in World War II.) How many MILLIONS of equivalent Tsar Bombs is the kinetic energy lost of this meteor?
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1) A diver of mass 43.0kg stands on the end of a uniform diving board over the water. The board is 7.00m long and has a mass of 75kg. The end of the board opposite the diver is attached to the platform. The bounce of the board is adjusted by a roller underneath that can be moved back and forth. The roller is 2.80 m from the fixed end of the board. a) What are the magnitude and the direction of the force on the board due to the roller? Show your work and explain your reasoning. b) What are the magnitude and the direction of the force on the board due to the diver? Assume the diver is stationary and the board is not bouncing. Show your work and explain your reasoning
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Please provide an example of a damped harmonic oscillator. They are more common than undamped or simple harmonic oscillators. What do you think there is any harmonic motion in the physical world that is not damped harmonic motion? Try to make a list of five examples of undamped harmonic motion and damped harmonic motion. Which list was easier to make? Why are the group of the peoples in general ordered to “route step” (walk out of step) across a bridge?
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What is the smallest number of whole logs (density = 735 kg/m³, radius = 0.077 m, length = 2.91 m) that can be used to build a raft that will carry 3 people, each of whom has a mass of 76.0 kg?
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A plank of length l = 2m is hinged at one end to a wall. The other end is being (temporarily) supported by a worker who is holding it up with his hand, keeping the plank horizontal. The plank has a mass of 20kg, and there is also a toolbox of mass 5kg sitting on it, 50cm away from the worker (1.5 m away from the wall). (a) Draw a free body diagram and an extended free-body diagram for the plank. (b) What are the magnitudes of (1) the upwards force exerted by the worker on the plank and (2) the force at the hinge?(c) If the worker were to let go of the plank, what would its angular acceleration be as it starts swinging down? The moment of inertia is I = 1Ml2. (Note: assume the toolbox stops pressing down on the plank immediately. This is a good approximation, as you shall see below.)(d) Consider a point on the plank located immediately below the toolbox. As the plank swings, this point moves in a circle of radius 1.5 m. What is its linear (tangential) acceleration as it starts going down, and how does it compare to the acceleration of gravity?
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Two boys are sliding toward each other on a frictionless, ice-covered parking lot. Jacob, mass 45 kg, is gliding to the right at 7.95 m/s, and Ethan, mass 31.0 kg, is gliding to the left at 10.9 m/s along the same line. When they meet, they grab each other and hang on. (a) What is their velocity immediately thereafter? magnitude m/s direction (b) What fraction of their original kinetic energy is still mechanical energy after their collision? % (c) That was so much fun that the boys repeat the collision with the same original velocities, this time moving along parallel lines 1.02 m apart. At closest approach, they lock arms and start rotating about their common center of mass. Model the boys as particles and their arms as a cord that does not stretch. Find the velocity of their center of mass. magnitude m/s direction (d) Find their angular speed. rad/s (e) What fraction of their original kinetic energy is still mechanical energy after they link arms? % (f) Why are the answers to parts (b) and (e) so different? This answer has not been graded yet.
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A nonconducting disk has a radius R, carries a uniform surface charge density s, and rotates with angular speed w.
(a) Consider an annular strip that has radius ?, width ??, and charge ??. Show that the
current produced by this strip is ?? = ?????.
(b) Show that the net magnetic field at the center of the disk is ?)???⁄2.
(c) Find the magnetic field on the axis of the disk, a distance z from the center.
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An approximately spherical, black asteroid (emissivity equal to one) of diameter 2km is orbiting the sun at a distance from the sun 10 times larger than the distance from the sum to the earth
a) What is the tempature of this asteroid?
b) What is the wavelength of radiation it emits with maximum intersity?
c) What rediation intersity emitted by the asteroid would be observed on Earth (when the asteroid makes its closet approach, assuming a circular orbit)?
Solar constant (solar power per unit area measured above the earth's atmosphere is 1400 W/m^2).
Distance from the Sun to the Earth is 1.5*10^11m
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A cylinder of radius 4.09 cm and a spherical shell of radius 7.47 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder\'s angular speed to the spherical shell\'s angular speed be?
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The Moon orbits Earth in a nearly circular orbit that lasts 27.32 days.
1) Determine the distance from the surface of the Moon to the surface of Earth in Mm. (Express your answer to three significant figures.)
A planet orbits a star with an orbital radius of 1 AU. The star has a mass that is 1.60 times our own Sun's mass.
2) Determine the time for one revolution of the planet around the star in years. (Express your answer to three significant figures.)
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A 4.5 kg box slides down a 4.2-m -high frictionless hill, starting from rest, across a 2.3-m -wide horizontal surface, then hits a horizontal spring with spring constant 480 N/m . The other end of the spring is anchored against a wall. The ground under the spring is frictionless, but the 2.3-m-long horizontal surface is rough. The coefficient of kinetic friction of the box on this surface is 0.26.
What is the speed of the box just before hitting the spring? How far is the spring compressed? Including the first crossing, how many complete trips will the box make across the rough surface before coming to rest?
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An 95.0 kg spacewalking astronaut pushes off a 620 kg satellite, exerting a 80.0 N force for the 0.600 s it takes him to straighten his arms.
How far apart are the astronaut and the satellite after 1.50 min ?
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A clock pendulum, made of aluminum, has a period of 1.00 s s and is accurate at 8.0°C. If the clock is used in a climate where the temperature averages 36.0°C what correction is necessary at the end of a 40 day period to the time given by the clock?
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Explain the 3 Emissive flat-panel devices: electroluminescent, plasma display and field-emission display with detail to the use of phosfur if used
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In words, explain the Lawson criterion and its significance. a)One needs high densities for extended time periods to produce enough energy for fusion reactions to break even. b)One needs high densities for short time periods to produce enough energy for fusion reactions to break even. c)One needs low densities for extended time periods to produce enough energy for fusion reactions to break even. d)One needs low densities for short time periods to produce enough energy for fusion reactions to break even
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