{"id":1974,"date":"2021-02-23T10:06:48","date_gmt":"2021-02-23T10:06:48","guid":{"rendered":"https:\/\/tmfwarszawa.pl\/?page_id=1974"},"modified":"2021-02-23T10:06:48","modified_gmt":"2021-02-23T10:06:48","slug":"zadania-1993-ang","status":"publish","type":"page","link":"https:\/\/tmfwarszawa.pl\/index.php\/zadania-1993-ang\/","title":{"rendered":"Zadania 1993 (ang)"},"content":{"rendered":"<p><b>1. Think up a problem yourself<\/b><br \/>\nInvent a problem in which an object is moving in some way and then changes its state of motion abruptly as a result of some influence. In this process interesting phenomena may arise which you must explain by, for example, making experiments and performing the necessary calculations.<\/p>\n<p><b>2\u20145. Gravitation<\/b><br \/>\nImagine that the gravitational constant\u00a0<i>G<\/i>\u00a0decreases slowly from April 1, 1993 until May 1, 1994 by 10% and keeps this value afterwards. How would this process in the given time interval and up to the date of the VI International YPT opening affect the universe as a whole and, in particular,<\/p>\n<p><b>2.<\/b>\u00a0the Sun;<\/p>\n<p><b>3.<\/b>\u00a0the Earth;<\/p>\n<p><b>4.<\/b>\u00a0aviation and astronautics;<\/p>\n<p><b>5.<\/b>\u00a0things important for you personally.<\/p>\n<p><b>6. Gagarin\u2019s record<\/b><br \/>\nIn April 1961 Yury Gagarin set a world record for the fastest round-the-world orbit space flight. Suggest the cheapest way of beating this record. Note that not every record may be officially recognized.<\/p>\n<p><b>7. Pressure and temperature<\/b><br \/>\nExplain why the pressure inside a house and outdoors are practically the same or become equal briefly, while the temperature may be substantially different. What is the characteristic equalizing time for pressures and temperature in- and outdoors? What is the answer to this question in the case of spacecraft?<\/p>\n<p><b>8. Dominoes<\/b><br \/>\nDominoes are placed vertically at a small distance from each other in a long row on a table surface. Make the first domino fall and the \u201cwave of the falls\u201d will proceed along the row. Calculate and measure experimentally the maximum speed of this wave.<\/p>\n<p><b>9\u201410. Gun<\/b><br \/>\nThe picture shows an electromagnetic gun circuit. It can launch metal rings.<br \/>\n<img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/archive.iypt.org\/problems\/6IYPT_1.gif?w=648&#038;ssl=1\" \/><br \/>\n(S, C, K) is a power supply consisting of<br \/>\nS, a source of constant voltage in the range 10\u2014300 V,<br \/>\nC, a capacitor with\u00a0<i>C<\/i>=1000 \u03bcF,<br \/>\nK, a switch;<br \/>\nL is an induction coil;<br \/>\nF is a ferromagnetic core;<br \/>\nR is a metal ring projectile with mass from 1 to 100 g.<br \/>\nC<sub>n<\/sub>\u00a0is a converter (some device that converts the energy passing from the capacitor to inductance L in a way you need.) This element does not contain energy sources. It may be completely absent from your gun.<br \/>\nYou are to construct, make and demonstrate the electromagnetic gun. It is worth mentioning that the demonstration of your gun will take place with the power supply (elements S, C and K) presented by the Organizing Committee of the YPT. Develop two variants of the gun:<\/p>\n<p><b>9. A long-range gun<\/b>\u00a0is to be constructed to shoot a ring to a maximum altitude. The control parameter is the quantity\u00a0<i>H=kh\/U<sup>2<\/sup><\/i>, where\u00a0<i>k<\/i>=10000\u00a0<i>V<sup>2<\/sup><\/i>,\u00a0<i>h<\/i>\u00a0is the height of the projectile,\u00a0<i>U<\/i>\u00a0is the voltage to which the capacitor is charged.<\/p>\n<p><b>10. A gun-lift<\/b>\u00a0is to be constructed to achieve the maximum work of lifting a weight (ring). The control parameter is\u00a0<i>W=mgh<\/i>, where\u00a0<i>m<\/i>\u00a0is the mass of the ring,\u00a0<i>g<\/i>=10 m\/s<sup>2<\/sup>.<\/p>\n<p><b>11. Recharge<\/b><br \/>\nYou are given a capacitor\u00a0<i>C<\/i>=1000 \u03bcF charged to 10 V and an uncharged capacitor\u00a0<i>C<sub>x<\/sub><\/i>=1 \u03bcF. Using a self-constructed device containing no energy sources charge the capacitor\u00a0<i>C<sub>x<\/sub><\/i>\u00a0to the maximum possible voltage.<\/p>\n<p><b>12. Transmission of energy<\/b><br \/>\nYou are given a capacitor\u00a0<i>C<\/i>=1000 \u03bcF charged to 300 V. Transmit without wires to a distance of 5 meters the largest possible proportion of the energy stored in the capacitor and measure it. Your device should be without energy sources.<\/p>\n<p><b>13. Microwave oven<\/b><br \/>\nWhy it is not recommended to cook eggs with unbroken shells in a microwave oven?<\/p>\n<p><b>14. Boiling<\/b><br \/>\nA metal ball at room temperature is plunged into a thermos filled with liquid nitrogen. Describe the observed process of intense vaporization of nitrogen and find the time dependence of vaporization intensity\u00a0<i>q(t)<\/i>\u00a0[gs<sup>\u22121<\/sup>]. We ask you to use balls from 2 to 4 cm in diameter.<\/p>\n<p><b>15. Fence<\/b><br \/>\nA picture of a moving bicycle wheel is strongly distorted by being observed through a fence. How much is the wheel distorted and why?<\/p>\n<p><b>16. Grand Unification<\/b><br \/>\nAccording to modern views Grand Unification is possible at energy of about 10<sup>24<\/sup>\u00a0eV. Estimate the parameters of an accelerator capable of producing particles of such energy.<\/p>\n<p><b>17. Karate<\/b><br \/>\nKarate is power, speed, force and beauty! Develop objective quantitative criteria making it possible to confer a \u201cblack belt\u201d to a karate fighter. Maybe, you\u2019ll become the inventor of a BB (black belt) device badly needed by referees or you\u2019ll create a KM (karate meter) complex which is even more necessary for karate fighters for improving their skill.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Think up a problem yourself Invent a problem in which an object is moving in some way and then changes its state of motion abruptly as a result of some influence. In this process interesting phenomena may arise which you must explain by, for example, making experiments and performing the necessary calculations. 2\u20145. Gravitation [&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-1974","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P4R8YU-vQ","jetpack-related-posts":[],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/1974","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=1974"}],"version-history":[{"count":1,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/1974\/revisions"}],"predecessor-version":[{"id":1976,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/1974\/revisions\/1976"}],"wp:attachment":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/media?parent=1974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}