{"id":42,"date":"2014-10-12T08:20:06","date_gmt":"2014-10-12T08:20:06","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/?page_id=42"},"modified":"2023-11-27T09:39:56","modified_gmt":"2023-11-27T09:39:56","slug":"dynamics-space-exercise-15","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/dynamics-space-exercise-15\/","title":{"rendered":"Dynamics &amp; Space Exercise 15"},"content":{"rendered":"<p style=\"text-align: center\">(g = 9.8Nkg-\u00b9)<\/p>\n<ol>\n<li>A ball of mass 1kg is thrown upwards at 10ms-\u00b9.<\/li>\n<\/ol>\n<p style=\"padding-left: 30px\">(a) Calculate the initial kinetic energy of the ball.<\/p>\n<p style=\"padding-left: 30px\">(b) How much potential energy does the ball have at its highest point?<\/p>\n<p style=\"padding-left: 30px\">(c) Find the maximum height reached.<\/p>\n<p>2.A slate of mass 2kg falls off a roof 45m up.<\/p>\n<p style=\"padding-left: 30px\">(a) Calculate the potential energy lost.<\/p>\n<p style=\"padding-left: 30px\">(b) Find the speed of the slate on impact.<\/p>\n<p>3.A motorbike has 40kJ of kinetic energy at the moment the brakes are applied.<br \/>\n<a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15a.png\"><img decoding=\"async\" class=\"aligncenter wp-image-112\" title=\"Dyn Spc 1_15a\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15a.png\" alt=\"\" width=\"613\" height=\"362\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15a.png 481w, 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300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><\/a><\/p>\n<p style=\"padding-left: 30px\">(a) If it takes 125m to come to a stop, find the average frictional force acting.<\/p>\n<p style=\"padding-left: 30px\">(b) Where has the kinetic energy gone?<\/p>\n<p>&nbsp;<\/p>\n<p>4.A skier of mass 50kg starts from rest at the top of a slope and is moving at 20ms-\u00b9 by the time she reaches the bottom.<\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15b.png\"><img decoding=\"async\" class=\"aligncenter wp-image-113\" title=\"Dyn Spc 1_15b\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15b.png\" alt=\"\" width=\"604\" height=\"321\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15b.png 465w, https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15b-300x159.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQChYeJYYpUf0Tg8PM1Wj5WGua3T%2BLCXY16RGPXOAbGIvQIgOmkEfheO4UD5vgQx7cmzgTfebGHNxAOoUbhSDvuOeZQquQUIdxAFGgwyNzM1NzAxOTU0MzMiDDopW%2BUDg%2FEN%2FOlG4iqWBRAayisdhGPggbv5LQSgXY9c%2FEXwzZ2lI%2BSIfflCrlql%2FITUbgqJk2uMyzR%2FmR9guLhinbQkSgTy0Juivm%2Bof%2FqkpfNWVJTu3eI4RkP3OYRH%2B%2FsmyYwiYAw1XcuI0XknlruymW2g6V88aAKGKVGgdgFoqOpJ8kB4s8DAXu6geiIaKIA9eqIJPwzjnSh8dnUdX1vucyllfzCI2SpK2D149kzlIAwAgP7keC1ghiKRwQOVh6XJwD%2B4lArUGHYKmS%2B4RisPr9a4Qoa%2BrxA3BtcBkCDXGxKqL5vwh4xcbI5p%2F7%2FUCGH6RnwNQ3gE9%2FdM0DPUiiZq3wuvnZZZfQ7ZsmGzl3l5EhAFF7OMoI81mAot1uHGXieSZCVAOeOpf05l1Oepxqb%2FGkHjPc7ePKL8%2F60tCy8OvOXNXNZce7JGTSaUmjZnAq96xuanKj%2Big3LKTDmJe34TFU%2F0BDABiRs2dKbMkL2fg02RplSCQ%2B0WGCsnwj8PC%2FHRIaHMFVxTgaC90zVPqW2m9%2BCrzyWfkwa8Oxs4x8TAaEaRVuebS%2BuY6b6cWlAzIPcx2JghgNR%2Bm4GFTwMg5JqRWVZF6GmSbZBPZDL00SoJ%2BAhVXMTfKreDvqTDAUe0WbBfyYqIYy9l6bbbM5Kw6boerdR%2BNbcvAxFm9WaRz3l95G0we1l%2BQfl1WhoJZ6HfF5QGoonj3fzdBxZPDrPsVNhIuECDfD1IDJGP2lL%2BDzxFjCfY8nD6zuCfW%2BIhKQVRFjGaBQyt2u7BcETrkphKehK%2BZOTggUjU3f%2BJ7GjkdvIMM9UYBm9Rx%2BlRDXid9XRNTZ3TtN3wPRmMbKbLl5pj1oilZ7VgAW3w7vZNGsDNlbR5cLzVN9ZGtMgsEf4e6%2BnJN61pBibUMO6J7tIGOrEB0SSM3W%2FbE%2BgMUcm64iQd6XpLe0ceolx%2F16auRx%2BOR4PAfzihCSQU0z5rUxzrKYRjvcoCmDZDoodAZ9vNZ0r8cF3UcRBQM0lqJb8fx0QTiZ21NBcCKf8AewQ1oLxI6I1M6VSFynSjDC0GM5QXmLAkbCcufbHGyqDcJkUAT1jlrJxj9lpFHPiftIwhd%2BmQYEubU5MkVZPByvNY9%2B%2FpRUWenHoHMWaxTBJSJ20zP3CXCKMA&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UV6AEDBGV%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260718T140737Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=3dc9d9bf009a00f4225a4022443a3dbc2596401df4067e8919fd1b24d9b2c71c 300w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p style=\"padding-left: 30px\">(a) Calculate her potential energy at the top of the slope.<\/p>\n<p style=\"padding-left: 30px\">(b) Calculate her kinetic energy at the bottom of the slope.<\/p>\n<p style=\"padding-left: 30px\">(c) Find the energy lost as heat due to friction.<\/p>\n<p style=\"padding-left: 30px\">(d) Calculate the average value of the frictional force.<\/p>\n<p>&nbsp;<\/p>\n<p>5\u06d4 A student runs along a diving platform and leaves the platform horizontally with a speed of 2.0 m\/s. The student lands in the water 0.3 s later. Air resistance is negligible.<\/p>\n<p style=\"padding-left: 60px\"><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15d.png\"><img decoding=\"async\" class=\"wp-image-114 alignleft\" title=\"Dyn Spc 1_15d\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15d.png\" alt=\"\" width=\"439\" height=\"448\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15d.png 439w, https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15d-293x300.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQChYeJYYpUf0Tg8PM1Wj5WGua3T%2BLCXY16RGPXOAbGIvQIgOmkEfheO4UD5vgQx7cmzgTfebGHNxAOoUbhSDvuOeZQquQUIdxAFGgwyNzM1NzAxOTU0MzMiDDopW%2BUDg%2FEN%2FOlG4iqWBRAayisdhGPggbv5LQSgXY9c%2FEXwzZ2lI%2BSIfflCrlql%2FITUbgqJk2uMyzR%2FmR9guLhinbQkSgTy0Juivm%2Bof%2FqkpfNWVJTu3eI4RkP3OYRH%2B%2FsmyYwiYAw1XcuI0XknlruymW2g6V88aAKGKVGgdgFoqOpJ8kB4s8DAXu6geiIaKIA9eqIJPwzjnSh8dnUdX1vucyllfzCI2SpK2D149kzlIAwAgP7keC1ghiKRwQOVh6XJwD%2B4lArUGHYKmS%2B4RisPr9a4Qoa%2BrxA3BtcBkCDXGxKqL5vwh4xcbI5p%2F7%2FUCGH6RnwNQ3gE9%2FdM0DPUiiZq3wuvnZZZfQ7ZsmGzl3l5EhAFF7OMoI81mAot1uHGXieSZCVAOeOpf05l1Oepxqb%2FGkHjPc7ePKL8%2F60tCy8OvOXNXNZce7JGTSaUmjZnAq96xuanKj%2Big3LKTDmJe34TFU%2F0BDABiRs2dKbMkL2fg02RplSCQ%2B0WGCsnwj8PC%2FHRIaHMFVxTgaC90zVPqW2m9%2BCrzyWfkwa8Oxs4x8TAaEaRVuebS%2BuY6b6cWlAzIPcx2JghgNR%2Bm4GFTwMg5JqRWVZF6GmSbZBPZDL00SoJ%2BAhVXMTfKreDvqTDAUe0WbBfyYqIYy9l6bbbM5Kw6boerdR%2BNbcvAxFm9WaRz3l95G0we1l%2BQfl1WhoJZ6HfF5QGoonj3fzdBxZPDrPsVNhIuECDfD1IDJGP2lL%2BDzxFjCfY8nD6zuCfW%2BIhKQVRFjGaBQyt2u7BcETrkphKehK%2BZOTggUjU3f%2BJ7GjkdvIMM9UYBm9Rx%2BlRDXid9XRNTZ3TtN3wPRmMbKbLl5pj1oilZ7VgAW3w7vZNGsDNlbR5cLzVN9ZGtMgsEf4e6%2BnJN61pBibUMO6J7tIGOrEB0SSM3W%2FbE%2BgMUcm64iQd6XpLe0ceolx%2F16auRx%2BOR4PAfzihCSQU0z5rUxzrKYRjvcoCmDZDoodAZ9vNZ0r8cF3UcRBQM0lqJb8fx0QTiZ21NBcCKf8AewQ1oLxI6I1M6VSFynSjDC0GM5QXmLAkbCcufbHGyqDcJkUAT1jlrJxj9lpFHPiftIwhd%2BmQYEubU5MkVZPByvNY9%2B%2FpRUWenHoHMWaxTBJSJ20zP3CXCKMA&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UV6AEDBGV%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260718T140737Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=404abf1604ccd882992fd0914dbb6f858b895227c5f4949472324ca69cb1ebdf 293w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"padding-left: 30px\">(a)<\/p>\n<p style=\"padding-left: 60px\">(i) Calculate the horizontal distance travelled by the student before landing in the water.<\/p>\n<p style=\"padding-left: 60px\">(ii) The student has a vertical acceleration of 10 m\/s2.<br \/>\nCalculate the vertical speed as the student enters the water.<\/p>\n<p style=\"padding-left: 30px\">(b)<\/p>\n<p style=\"padding-left: 30px\">Later the student runs off the end of the same platform with a horizontal speed of 3.0 m\/s.<br \/>\nHow long does the student take to reach the water this time?<br \/>\nExplain your answer.<\/p>\n<p style=\"padding-left: 30px\">(c)<\/p>\n<p style=\"padding-left: 30px\">The student climbs from the water level to a higher platform. This platform is 5.0 m above the water. The student has a mass of 50 kg.<\/p>\n<p style=\"padding-left: 60px\"><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15e.png\"><img decoding=\"async\" class=\" wp-image-115 alignleft\" title=\"Dyn Spc 1_15e\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15e.png\" alt=\"\" width=\"507\" height=\"529\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15e.png 474w, https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_15e-287x300.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQChYeJYYpUf0Tg8PM1Wj5WGua3T%2BLCXY16RGPXOAbGIvQIgOmkEfheO4UD5vgQx7cmzgTfebGHNxAOoUbhSDvuOeZQquQUIdxAFGgwyNzM1NzAxOTU0MzMiDDopW%2BUDg%2FEN%2FOlG4iqWBRAayisdhGPggbv5LQSgXY9c%2FEXwzZ2lI%2BSIfflCrlql%2FITUbgqJk2uMyzR%2FmR9guLhinbQkSgTy0Juivm%2Bof%2FqkpfNWVJTu3eI4RkP3OYRH%2B%2FsmyYwiYAw1XcuI0XknlruymW2g6V88aAKGKVGgdgFoqOpJ8kB4s8DAXu6geiIaKIA9eqIJPwzjnSh8dnUdX1vucyllfzCI2SpK2D149kzlIAwAgP7keC1ghiKRwQOVh6XJwD%2B4lArUGHYKmS%2B4RisPr9a4Qoa%2BrxA3BtcBkCDXGxKqL5vwh4xcbI5p%2F7%2FUCGH6RnwNQ3gE9%2FdM0DPUiiZq3wuvnZZZfQ7ZsmGzl3l5EhAFF7OMoI81mAot1uHGXieSZCVAOeOpf05l1Oepxqb%2FGkHjPc7ePKL8%2F60tCy8OvOXNXNZce7JGTSaUmjZnAq96xuanKj%2Big3LKTDmJe34TFU%2F0BDABiRs2dKbMkL2fg02RplSCQ%2B0WGCsnwj8PC%2FHRIaHMFVxTgaC90zVPqW2m9%2BCrzyWfkwa8Oxs4x8TAaEaRVuebS%2BuY6b6cWlAzIPcx2JghgNR%2Bm4GFTwMg5JqRWVZF6GmSbZBPZDL00SoJ%2BAhVXMTfKreDvqTDAUe0WbBfyYqIYy9l6bbbM5Kw6boerdR%2BNbcvAxFm9WaRz3l95G0we1l%2BQfl1WhoJZ6HfF5QGoonj3fzdBxZPDrPsVNhIuECDfD1IDJGP2lL%2BDzxFjCfY8nD6zuCfW%2BIhKQVRFjGaBQyt2u7BcETrkphKehK%2BZOTggUjU3f%2BJ7GjkdvIMM9UYBm9Rx%2BlRDXid9XRNTZ3TtN3wPRmMbKbLl5pj1oilZ7VgAW3w7vZNGsDNlbR5cLzVN9ZGtMgsEf4e6%2BnJN61pBibUMO6J7tIGOrEB0SSM3W%2FbE%2BgMUcm64iQd6XpLe0ceolx%2F16auRx%2BOR4PAfzihCSQU0z5rUxzrKYRjvcoCmDZDoodAZ9vNZ0r8cF3UcRBQM0lqJb8fx0QTiZ21NBcCKf8AewQ1oLxI6I1M6VSFynSjDC0GM5QXmLAkbCcufbHGyqDcJkUAT1jlrJxj9lpFHPiftIwhd%2BmQYEubU5MkVZPByvNY9%2B%2FpRUWenHoHMWaxTBJSJ20zP3CXCKMA&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UV6AEDBGV%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260718T140737Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=f0c023f66a0521d176f8b2212f87c8cf85b90e7b8b4e1b72150d756b955d4ca3 287w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"padding-left: 90px\">(i) Calculate the gain in gravitational potential energy of the student.<\/p>\n<p style=\"padding-left: 90px\">(ii) The student drops from the edge of the platform and lands in the water.<br \/>\nCalculate the vertical speed as the student enters the water.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(g = 9.8Nkg-\u00b9) A ball of mass 1kg is thrown upwards at 10ms-\u00b9. (a) Calculate the initial kinetic energy of the ball. (b) How much potential energy does the ball have at its highest point? (c) Find the maximum height reached. 2.A slate of mass 2kg falls off a roof 45m up. (a) Calculate the &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/dynamics-space-exercise-15\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Dynamics &amp; Space Exercise 15<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2454,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-42","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages\/42","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/users\/2454"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/comments?post=42"}],"version-history":[{"count":15,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages\/42\/revisions"}],"predecessor-version":[{"id":190,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages\/42\/revisions\/190"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/media?parent=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}