{"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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260428T023811Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=a9d9616b97df846188a5174e750000348b2d8efc23b458d496f50a3daa714f3a 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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260428T023811Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=4a08e9606c3168bfbb80747c9bf7f4a8e04ac52b0635f172820fc71c48e5f1e0 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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260428T023811Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=b2bd38f931a49a15eda5e2a04dce8f17ba9592b0200a5b8bfd1fe4035b9f3374 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}]}}