On to Chapter 1 Figure 1.1 © 2013 Pearson Education, Inc. Figure 1.5 © 2013 Pearson Education, Inc. Figure 1.2 © 2013 Pearson Education, Inc. Figure 1.3 © 2013 Pearson Education, Inc. Figure 1.7 © 2013 Pearson Education, Inc. Figure 1.8 © 2013 Pearson Education, Inc. RADAR measures distances to planets. RADAR works like SONAR or ECHOLOCATION Astronomical Unit: unit of measurement in solar system • 1 Astronomical Unit (AU) = Earth to Sun Distance • 1 AU = 1.5 x 108 km (or about 93 million miles) RADAR measurements • Groups of 2. One of you will be the RADAR pulse, the other a scientist on Earth. RECORD YOUR WORK IN AN ORGANIZED DATA TABLE. • RADAR works because we know the speed light travels. Because your "radar pulse" will not travel at the speed of light, you need to find the actual speed of the "radar pulse". The "radar pulse" should walk at an even, repeatable speed, and the scientist should measure how far the pulse travels in 5 seconds. Calculate the speed of travel from the distance and the time. RADAR measurements • Now choose an object you want to measure the distance to. The scientist gives the signal to begin, and the radar pulse begins to travel toward the object. The scientist times the "radar pulse's" trip (both going to the object and returning). When the pulse comes to the object, it "bounces" off, and travels back in the direction it came. The number of seconds elapsed is the total time, T, taken for the pulse to travel out, bounce off the object, and travel back again. • The distance to the object, d, is given by: d = s*(t/2) Let’s do an example calculation. • A radar signal is transmitted from Earth, bounced off Venus, and returns to Earth in 300 seconds. • How far away is Venus in km and AU from Earth? • You need to know: • Speed = distance/time • 1 AU = 1.5 x 108 km • RARAR travels at 300,000 km/s http://astro.unl.edu/interactives/ Online ranking and sorting: Keplers 1st, 2nd, 3rd Laws; Force of Gravity 13 (including 3A-3D) semi-minor axis semi-major axis 2R T is the time it takes to make 1 full revolution Kepler’s Laws of planetary motion 3) Period(yrs)2 = semi-major axis (AU)3 What is the relationship between AU and period? Kepler’s Laws of planetary motion 3) Period(yrs)2 = semi-major axis (AU)3 What is the relationship between AU and period? Planetary years: Using data below determine how old in Martian years each group member would be. Gravity. Newton used physics to explain Kepler’s Laws. Weight = mass x gravity Mars has 0.38 the gravity Earth has. What would you weigh on Mars? Calculate this. Which of the following best describes how you would weigh on the Moon versus Earth? • • • • You would weigh the same You would weigh more on the moon You would weigh less on the moon You would have more mass on the moon, but your weight would not change Force of gravity depends on mass and distance. Distance follows the inverse square law If the distance between two masses quadruples, how much does the gravitational force between them lessen?
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