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- According to the National Academy of Sciences, the Earths surface temperature has risen about 1F since 1900. There is evidence that this climate change may be due to human activity. The organizers of World Jump Day argue that if the Earth were in a slightly larger orbit, we could avoid global warming and climate change. They propose that we move the Earth into this new orbit by jumping. The idea is to get people in a particular time zone to jump together. The hope is to have 600 million people jump in a 24-hour period. Lets see if it will work. Consider the Earth and its inhabitants to make up the system. a. Estimate the number of people in your time zone. Assume they all decide to jump at the same time; estimate the total mass of the jumpers. b. What is the net external force on the Earthjumpers system? c. Assume the jumpers use high-tech Flybar pogo sticks (Fig. P8.32), which allow them to jump 6 ft. What is the displacement of the Earth as a result of their jump? d. What happens to the Earth when the jumpers land?Suppose you were not given the values of the masses but only that m1 = m and m2 = 3m. What could you say about the velocities in this case? The answers to Confidence Exercises may be found at the back of the book.A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00 of his weight. (a) Calculate the mass of the mountain. (b) Compare the mountain’s mass with that of Earth. (c) What is unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.)
- In a laboratory frame of reference, an observer notes that Newtons second law is valid. Assume forces and masses are measured to be the same in any reference frame for speeds small compared with the speed of light. (a) Show that Newtons second law is also valid for an observer moving at a constant speed, small compared with the speed of light, relative to the laboratory frame. (b) Show that Newtons second law is not valid in a reference frame moving past the laboratory frame with a constant acceleration.A spacecraft lands on a newly discovered planet orbiting the star 51 Pegasi. To measure the acceleration from gravity on the planet, an astronaut drops a rock from a height of 2 m. A precision timer indicates that it takes the rock 0.71 s to fall to the surface. What is the acceleration from gravity on this planet?Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately 4 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon's orbit increases by 3.84106 m (1%)?
- True or False (Explain if False) 1. NASA astronauts, Kjell Lindgren, Pilot Bob Hines, Jessica Watkins, and Samantha Cristoforetti, are currently in the International Space Station, and experience apparent weightlessness because they and the station are always in free fall towards the center of the Earth. 2. One of the 82 moons of Saturn is named Dione. The pull of Dione on Saturn is lesser than that of Saturn on Dione. 3. Titan, one of Saturn's moons, does not crash into the surface of Saturn because it is beyond the main pull of the planet’s gravity. 4. Patrick pushes a heavy refrigerator down the Barrens at a constant velocity. Of the four forces (friction, gravity, normal force, and pushing force) acting on the bicycle, the greatest amount of work is exerted by his pushing force. 5. Tethys, one of Saturn's moons, is in a constant free fall towards Saturn.A planet has 1/9 the earth's mass and half its radius. It orbits a star with six times the sun's mass with an orbital period of 48 years. Suppose aliens from this planet crash their spaceship in New Mexico. If the spaceship weighs 1200 Zorgs on their planet, then what is the weight in New Mexico, in Zorgs? I got 533.3 Zorgs but it was incorrect.Motion-related questions are fascinating in and of themselves: How long will a space probe take to reach Mars? Create a list of your motion-related questions.
- TOPIC: ACCELERATED MOTION How does the time affect the distance traveled by a body? What is your conclusion about accelerated motion?How far above the Earths surface will the acceleration of gravity be half what it is at surface . Express your answer using three significant figures and include the appropriate units.NASA has fired a rocket straight up into the air from ground level with an unknown initial velocity. It reaches a maximum height of 164,000 feet. This happened in Cape Canaveral therefore the rocket is under the acceleration of Earth's gavity in which we all know is -32 ft/sec/sec. Please round your answers to two decimal places. a). Find the time it takes for the rocket to reach maximum height. b). find the initial velocity necessary to reach that height.
