{"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 loading=\"lazy\" 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=\"auto, (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 loading=\"lazy\" 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=IQoJb3JpZ2luX2VjEPb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIErExQLtE%2Fjpf9iVMIASFMeD4o2IV2AbfMYdUHKOmaa0AiEA2N82qAXMG7B%2FrqnDPQWTjt74F8dUOIaVMCyEs9y7Ma4qwgUIv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDPDXpIAy3TFi9tPY%2FSqWBSjYcKO3ruTHgTlzCOlDuz0K%2B0QSaLh6qiuV0SvsQpfODcQVGQDkeiDkjtfSBoxWYkEBIAR7Lnggs0vLxUA00xZ%2Fdv6m7w1acGUBxYgdADLfohIRCqKUU4p2nDxSVUf9Rebd3euEt6uI653iUjNHQNY%2BVKpiRMlcRwnWvKd%2BUL8h18IF6AKhQLE56dMl3Wp%2ByOs3qHrluotr1ONJlSBVDxwxNYBXE8cAEbcmoTU%2FLe4cdIKVm4%2FUYQvfBwO2zl4Am8Q2iiBIB1U8tM5q6%2Fzr6TpUxjkSdkcFbPlhWxjg2s1%2FWwWPMzfbk0laaVlobkqin7WVeJ%2FTKb5VFlan7nRm%2FyEJDQHpvKb1zwc7zpY6CQSi9SWygdQZTRskPSj%2BVL4bQjc7c3FljeOnlwdq2amnqbUi0%2F7u8HKLjQ77%2BoEqHeG0YT5YWuvsqkpoRnN6reteogag8dlGSB3fw5thylmNnHRk2qn5q%2B54h%2FJe%2FAlUB3UYtH%2F8%2FBaNIQT8%2FmJscYU1QrBoq6iLL0ItqGU0kUOnVhx744FRPyrXXSMvLIvKIE5WAuokZ89I2bfGDynawKFfzRp12UYMcSvcR8Rg7Npr%2FjJgDVZvV3zGyKmxRCKADdiumJjpaOO1Yhly5Tvq05GoWyR4nSrDp1OfVJpbdy1vROFZ4U2uWd1vJwA9Wfkaje9sLkqsAKE72uUBR2fdUSf5gw3s9O2mjzzW%2F7W1NdyRMljcWHWCV4C3nEzTl8Hs34BdtKw8AyzzSTiGGfzpVzq19nXUcmuYP3S8YDKxvFH3TClI42iXnvga6fE3ZX8k0h%2BVGwNvGvnapVrmGUMVhXQlZvhH4AXYOh7m20qTWpEFvEIJMw1YgABP8FpIfE0RXhIJTuJdZbagMPG5rNAGOrEB9PxetAKeiDWnhkE2ZYLdr%2FlLIV75y2zUDLUmVn6BvfvFsTbz8pZDvUNE8tuPC9gafYV92yraLOf%2BCh%2FCqqm5N0xLak9w%2FSNvg1Hw9o%2BMxXRiTTPn00mld3%2F8sabz%2FoA0nAADhT0U2wOHH69cccl4LAfRjzBHdIfODSBnhPWU6YZ%2FoR1%2BRSpC1H6eSwKKPP8C4EfxFoeKxwh%2BnN%2FKYTN5PpRpkUEGDyx6mY6clpPxVxSF&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47U367XME56%2F20260518%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260518T142151Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=2bf24c9350eb56e97e8b71727a034e71e214594bae9ad22e091124e07976946a 300w\" sizes=\"auto, (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 loading=\"lazy\" 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=IQoJb3JpZ2luX2VjEPb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIErExQLtE%2Fjpf9iVMIASFMeD4o2IV2AbfMYdUHKOmaa0AiEA2N82qAXMG7B%2FrqnDPQWTjt74F8dUOIaVMCyEs9y7Ma4qwgUIv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDPDXpIAy3TFi9tPY%2FSqWBSjYcKO3ruTHgTlzCOlDuz0K%2B0QSaLh6qiuV0SvsQpfODcQVGQDkeiDkjtfSBoxWYkEBIAR7Lnggs0vLxUA00xZ%2Fdv6m7w1acGUBxYgdADLfohIRCqKUU4p2nDxSVUf9Rebd3euEt6uI653iUjNHQNY%2BVKpiRMlcRwnWvKd%2BUL8h18IF6AKhQLE56dMl3Wp%2ByOs3qHrluotr1ONJlSBVDxwxNYBXE8cAEbcmoTU%2FLe4cdIKVm4%2FUYQvfBwO2zl4Am8Q2iiBIB1U8tM5q6%2Fzr6TpUxjkSdkcFbPlhWxjg2s1%2FWwWPMzfbk0laaVlobkqin7WVeJ%2FTKb5VFlan7nRm%2FyEJDQHpvKb1zwc7zpY6CQSi9SWygdQZTRskPSj%2BVL4bQjc7c3FljeOnlwdq2amnqbUi0%2F7u8HKLjQ77%2BoEqHeG0YT5YWuvsqkpoRnN6reteogag8dlGSB3fw5thylmNnHRk2qn5q%2B54h%2FJe%2FAlUB3UYtH%2F8%2FBaNIQT8%2FmJscYU1QrBoq6iLL0ItqGU0kUOnVhx744FRPyrXXSMvLIvKIE5WAuokZ89I2bfGDynawKFfzRp12UYMcSvcR8Rg7Npr%2FjJgDVZvV3zGyKmxRCKADdiumJjpaOO1Yhly5Tvq05GoWyR4nSrDp1OfVJpbdy1vROFZ4U2uWd1vJwA9Wfkaje9sLkqsAKE72uUBR2fdUSf5gw3s9O2mjzzW%2F7W1NdyRMljcWHWCV4C3nEzTl8Hs34BdtKw8AyzzSTiGGfzpVzq19nXUcmuYP3S8YDKxvFH3TClI42iXnvga6fE3ZX8k0h%2BVGwNvGvnapVrmGUMVhXQlZvhH4AXYOh7m20qTWpEFvEIJMw1YgABP8FpIfE0RXhIJTuJdZbagMPG5rNAGOrEB9PxetAKeiDWnhkE2ZYLdr%2FlLIV75y2zUDLUmVn6BvfvFsTbz8pZDvUNE8tuPC9gafYV92yraLOf%2BCh%2FCqqm5N0xLak9w%2FSNvg1Hw9o%2BMxXRiTTPn00mld3%2F8sabz%2FoA0nAADhT0U2wOHH69cccl4LAfRjzBHdIfODSBnhPWU6YZ%2FoR1%2BRSpC1H6eSwKKPP8C4EfxFoeKxwh%2BnN%2FKYTN5PpRpkUEGDyx6mY6clpPxVxSF&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47U367XME56%2F20260518%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260518T142151Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=5ec4e1754a181ea65f84a90b5ce97ca06f2005809e95ac0549f703ee8b3a1db0 293w\" sizes=\"auto, (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 loading=\"lazy\" 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=IQoJb3JpZ2luX2VjEPb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIErExQLtE%2Fjpf9iVMIASFMeD4o2IV2AbfMYdUHKOmaa0AiEA2N82qAXMG7B%2FrqnDPQWTjt74F8dUOIaVMCyEs9y7Ma4qwgUIv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDPDXpIAy3TFi9tPY%2FSqWBSjYcKO3ruTHgTlzCOlDuz0K%2B0QSaLh6qiuV0SvsQpfODcQVGQDkeiDkjtfSBoxWYkEBIAR7Lnggs0vLxUA00xZ%2Fdv6m7w1acGUBxYgdADLfohIRCqKUU4p2nDxSVUf9Rebd3euEt6uI653iUjNHQNY%2BVKpiRMlcRwnWvKd%2BUL8h18IF6AKhQLE56dMl3Wp%2ByOs3qHrluotr1ONJlSBVDxwxNYBXE8cAEbcmoTU%2FLe4cdIKVm4%2FUYQvfBwO2zl4Am8Q2iiBIB1U8tM5q6%2Fzr6TpUxjkSdkcFbPlhWxjg2s1%2FWwWPMzfbk0laaVlobkqin7WVeJ%2FTKb5VFlan7nRm%2FyEJDQHpvKb1zwc7zpY6CQSi9SWygdQZTRskPSj%2BVL4bQjc7c3FljeOnlwdq2amnqbUi0%2F7u8HKLjQ77%2BoEqHeG0YT5YWuvsqkpoRnN6reteogag8dlGSB3fw5thylmNnHRk2qn5q%2B54h%2FJe%2FAlUB3UYtH%2F8%2FBaNIQT8%2FmJscYU1QrBoq6iLL0ItqGU0kUOnVhx744FRPyrXXSMvLIvKIE5WAuokZ89I2bfGDynawKFfzRp12UYMcSvcR8Rg7Npr%2FjJgDVZvV3zGyKmxRCKADdiumJjpaOO1Yhly5Tvq05GoWyR4nSrDp1OfVJpbdy1vROFZ4U2uWd1vJwA9Wfkaje9sLkqsAKE72uUBR2fdUSf5gw3s9O2mjzzW%2F7W1NdyRMljcWHWCV4C3nEzTl8Hs34BdtKw8AyzzSTiGGfzpVzq19nXUcmuYP3S8YDKxvFH3TClI42iXnvga6fE3ZX8k0h%2BVGwNvGvnapVrmGUMVhXQlZvhH4AXYOh7m20qTWpEFvEIJMw1YgABP8FpIfE0RXhIJTuJdZbagMPG5rNAGOrEB9PxetAKeiDWnhkE2ZYLdr%2FlLIV75y2zUDLUmVn6BvfvFsTbz8pZDvUNE8tuPC9gafYV92yraLOf%2BCh%2FCqqm5N0xLak9w%2FSNvg1Hw9o%2BMxXRiTTPn00mld3%2F8sabz%2FoA0nAADhT0U2wOHH69cccl4LAfRjzBHdIfODSBnhPWU6YZ%2FoR1%2BRSpC1H6eSwKKPP8C4EfxFoeKxwh%2BnN%2FKYTN5PpRpkUEGDyx6mY6clpPxVxSF&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47U367XME56%2F20260518%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260518T142151Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=c3d1ff3e3aec429cc64d86910c027b9963c4e49b059d8d0f12e4d30264ab415a 287w\" sizes=\"auto, (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}]}}