{"id":1983,"date":"2021-02-23T10:08:26","date_gmt":"2021-02-23T10:08:26","guid":{"rendered":"https:\/\/tmfwarszawa.pl\/?page_id=1983"},"modified":"2021-02-23T10:08:26","modified_gmt":"2021-02-23T10:08:26","slug":"zadania-1989-ang","status":"publish","type":"page","link":"https:\/\/tmfwarszawa.pl\/index.php\/zadania-1989-ang\/","title":{"rendered":"Zadania 1989 (ang)"},"content":{"rendered":"<p><b>1. Invent yourself<\/b><br \/>\nDevelop and construct a device for demonstrating the wave properties of sound in air.<\/p>\n<p><b>2. Noon<\/b><br \/>\nIs it possible to call \u201cnoon\u201d the moment in the middle of the time interval between sunrise and sunset? Using a calendar, you will easily notice that throughout the year this moment \u201cdrifts\u201d relatively to a certain moment of time. Explain the cause of this effect.<\/p>\n<p><b>3. Tides<\/b><br \/>\nEstimate the heights of the tides in the Black Sea on April 1, 1989.<\/p>\n<p><b>4. Rolling friction<\/b><br \/>\nInvestigate how the friction force depends on speed. To be more specific, consider the rolling of a wooden puck on wood (a wooden surface of a table.)<\/p>\n<p><b>5. Clock<\/b><br \/>\nYou have visited a planet and you plan to return to it in ten thousand or even in a million years. What clock would you leave on this planet to measure precisely the time of your absence from the planet?<\/p>\n<p><b>6. Rainbow<\/b><br \/>\nIs it possible that three or more rainbows can appear on the sky simultaneously?<\/p>\n<p><b>7. Sparks<\/b><br \/>\nWhen knives are sharpened on a grinding wheel, sparks fly away. Most often, a single spark bursts apart in all directions at the end of its flight. Explain the phenomenon.<\/p>\n<p><b>8. Metro<\/b><br \/>\nSuggest the methods and measure the speed of a metro electric train midway between two stations. The same is to be done for a bus in which you are going, if there are no reliable distance signs on the route.<\/p>\n<p><b>9. Astronaut<\/b><br \/>\nWhat maximum travel distance may an astronaut expect<\/p>\n<ol type=\"a\">\n<li>at the modern level of technical development?<\/li>\n<li>in the far future, when practically all technical difficulties will be overcome?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>10. Aqueous planet<\/b><br \/>\nWhat amount of water may form a planet with a constant mass<\/p>\n<ol type=\"a\">\n<li>far from the Sun;<\/li>\n<li>in a distance of 1 AU from the Sun?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>11. Mosquito<\/b><br \/>\nAt what maximum altitude can a mosquito fly?<\/p>\n<p><b>12. Sand in a tube<\/b><br \/>\nA glass tube is installed vertically and its lower end is tightly closed with a cap. The tube is filled with some sand. During what time\u00a0<i>T<\/i>\u00a0will the sand flow out of the tube, when the cap is opened? Investigate the dependence of\u00a0<i>T<\/i>\u00a0on the following parameters: size of sand grains\u00a0<i>d<\/i>, length of the tube\u00a0<i>L<\/i>, diameter of the tube\u00a0<i>D<\/i>, at a constant degree of packing of sand (you have to introduce and validate this parameter on your own.) We ask you not to consider high degrees of packing for comparability of the results. It is preferred that 10 cm&lt;<i>L<\/i>&lt;1 m.<\/p>\n<p><b>13. Electrolytic cell<\/b><br \/>\nPrepare some saturated solution of table salt NaCl. Immerse two carbon electrodes (sticks from manganese-zinc battery\u00a0<i>373 (R20)<\/i>) into it so that their metal contacts are not immersed into the solution. Investigate<\/p>\n<ol type=\"a\">\n<li>the current-voltage characteristic of the created electrolytic cell in the range of currents from 10 \u03bcA to 50 mA;<\/li>\n<li>how does the current-voltage characteristic change as the solution is diluted?<\/li>\n<\/ol>\n<p><b>14. Fence<\/b><br \/>\nA remote large object is separated from you by a picket fence. It happens that you can see the object if you do not stay near the fence, but go along the fence in a car. Explain this phenomenon. What speed is sufficient if\u00a0<i>a<\/i>\u00a0is width of a fence board,\u00a0<i>b<\/i>\u00a0width of the gaps,\u00a0<i>L<\/i>\u00a0is distance to the fence (<i>L<\/i>&gt;&gt;<i>a, b<\/i>),\u00a0<i>\u03b3<\/i>\u00a0is angular size of the remote object,\u00a0<i>\u03b3<\/i>&gt;&gt;(<i>a<\/i>+<i>b<\/i>)\/<i>L<\/i>.<\/p>\n<p><b>15. Electron<\/b><br \/>\nAn electron with a velocity of\u00a0<i>v<\/i>=3\u00b710<sup>5<\/sup>\u00a0m\/s flies with an impact parameter\u00a0<i>d<\/i>\u00a0aside a metal ball with a radius of a few centimeters. The charge of the ball changes with time under a law\u00a0<i>q(t)<\/i>=<i>q<sub>0<\/sub><\/i>cos<i>\u03c9t<\/i>, where\u00a0<i>q<sub>0<\/sub><\/i>=10<sup>\u22123<\/sup>\u00a0C,\u00a0<i>\u03c9<\/i>=10<sup>8<\/sup>\u00a0s<sup>\u22121<\/sup>. Build a dependence plot of the deviation angle\u00a0<i>\u03c6<\/i>\u00a0of the electron on the impact parameter\u00a0<i>d<\/i>.<\/p>\n<p><b>16. Information<\/b><br \/>\nHow many bits of information did you receive after having read the problems of a YPT? How many bits of information would you receive when looking at a geographic map with the size of a paper sheet?<\/p>\n<p><b>17. Karlsson<\/b><br \/>\nWith what rate should Karlsson eat jam not to get thinner during the flight?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Invent yourself Develop and construct a device for demonstrating the wave properties of sound in air. 2. Noon Is it possible to call \u201cnoon\u201d the moment in the middle of the time interval between sunrise and sunset? Using a calendar, you will easily notice that throughout the year this moment \u201cdrifts\u201d relatively to a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-1983","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P4R8YU-vZ","jetpack-related-posts":[],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/1983","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/comments?post=1983"}],"version-history":[{"count":1,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/1983\/revisions"}],"predecessor-version":[{"id":1985,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/1983\/revisions\/1985"}],"wp:attachment":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/media?parent=1983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}