{"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=IQoJb3JpZ2luX2VjEN%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIB4wCVyVZdlL%2F2GZEn5yvWVuyt1pKURkxk6IQ%2BDPNzLZAiEA3Vq9HXsyKU8f5lFhpl0I5d6rIhPZoWaX4Qk4oP51aKgqwQUIp%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDBzJLyY3YhlPR9MbTiqVBXVe7zUeVav3VJgERopAEOxQHqIwxiJ0n80frfSFAyIiPIq1m1KxruZVSNN4O70t2aVY%2F8OGDDG2Fm1LY2tkKTi2HkD8WnUEXQd1X7CoiW%2FXtZ6LsTDwsB%2FoDqD1mSa4CJHBwn21aiNz5G2pMUDK%2BRsT2s%2B4XNneUphGfNqGVlRvica06%2BrOiMLGsIaMuIEc%2BpWp%2BXFOTIuCd%2FA7HdsVZ3n8GMow3nidGPogq8KDr57ByYr7uzqGrr9b4tpZExENwIU%2BYx5%2F32eIn9tc2DIKjuB%2FRy%2B4fuEsfKTyttVoC98mLkRaxikFAZpMBl9mZzoqjkcIx%2BpgbEKXg%2Fs6zrjwbqucynsvM6cs6fUAQ0nmftnfpYvLRYxfAu6uQ7VUN8Jg%2Ftd968WDuvPxJexqWpe191aTzoDkXB8xO20%2Bqn0%2BvkKVfu4nacWfn8gRff1TROo6WnR8%2FKoMiwUKhmXd%2Fs2K7tr5zlmynZlk7FwzRSIJIOdL4i6trtwBDiuCK0YxHtP%2BtWf%2BSh1UEq5uzoDHBc8VFQqKPhe9xu5hsdXZymT6ac7J0VwNxjwLaDSxJP3LJagUR7%2FERm2zB2qnnid3Fhtp6TScsNggBDx1ym0GjRWYgVJ4HxTMf6k4%2Bj7XrSTn9zDVaSszUzuiag%2Fbbe%2FYNsMeA40ebwqPpj72XaiqwScOTIfnwru4G4beSDdabegX7A%2FWNM3qnEJT0%2Bd0rsOXqSQONqLU5fFif%2B0yp2TlbDWQQKt5kYhuoyTBzcgE8xraiHOXPEBCnYb6g7%2FpnAdvYGpYAsSjN9tS%2F3PFFqA9C3h7VVy5sisvnW1mnTlxAlUdZOX%2BR8W%2BD2gNPYWEBO91qaBmswNErVv%2B0ixLovC%2FNgqhgE7r417QF2ww092X0QY6sQFB6TL1wnEuNwJmOGMLTN22zS2LJj0uDB8GFxxg2Ws%2FkaEQ9H3RdQ9idP4w%2BKbWyZUtAERzRSDaKLbAO6ldwLnyRlKnKWx6nB2wJG63pdO9tm2ackiFcmF6dKS2CAJLE2mDK1BLd7Ic3PPX73oGnobcU1Kof337EkLQOGCmlR3zNNE5cxq9QmubgUPI76j%2Bx0eUfal4rzLMVLrwAuqicsxvTo%2Bo3Ut%2B4s2xwBhzqEp9hnU%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UYC7BXE2O%2F20260607%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260607T225855Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=2d8615b1da7a98d336d1118b9b304524712be321fdc75573b89d116811e2f194 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=IQoJb3JpZ2luX2VjEN%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIB4wCVyVZdlL%2F2GZEn5yvWVuyt1pKURkxk6IQ%2BDPNzLZAiEA3Vq9HXsyKU8f5lFhpl0I5d6rIhPZoWaX4Qk4oP51aKgqwQUIp%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDBzJLyY3YhlPR9MbTiqVBXVe7zUeVav3VJgERopAEOxQHqIwxiJ0n80frfSFAyIiPIq1m1KxruZVSNN4O70t2aVY%2F8OGDDG2Fm1LY2tkKTi2HkD8WnUEXQd1X7CoiW%2FXtZ6LsTDwsB%2FoDqD1mSa4CJHBwn21aiNz5G2pMUDK%2BRsT2s%2B4XNneUphGfNqGVlRvica06%2BrOiMLGsIaMuIEc%2BpWp%2BXFOTIuCd%2FA7HdsVZ3n8GMow3nidGPogq8KDr57ByYr7uzqGrr9b4tpZExENwIU%2BYx5%2F32eIn9tc2DIKjuB%2FRy%2B4fuEsfKTyttVoC98mLkRaxikFAZpMBl9mZzoqjkcIx%2BpgbEKXg%2Fs6zrjwbqucynsvM6cs6fUAQ0nmftnfpYvLRYxfAu6uQ7VUN8Jg%2Ftd968WDuvPxJexqWpe191aTzoDkXB8xO20%2Bqn0%2BvkKVfu4nacWfn8gRff1TROo6WnR8%2FKoMiwUKhmXd%2Fs2K7tr5zlmynZlk7FwzRSIJIOdL4i6trtwBDiuCK0YxHtP%2BtWf%2BSh1UEq5uzoDHBc8VFQqKPhe9xu5hsdXZymT6ac7J0VwNxjwLaDSxJP3LJagUR7%2FERm2zB2qnnid3Fhtp6TScsNggBDx1ym0GjRWYgVJ4HxTMf6k4%2Bj7XrSTn9zDVaSszUzuiag%2Fbbe%2FYNsMeA40ebwqPpj72XaiqwScOTIfnwru4G4beSDdabegX7A%2FWNM3qnEJT0%2Bd0rsOXqSQONqLU5fFif%2B0yp2TlbDWQQKt5kYhuoyTBzcgE8xraiHOXPEBCnYb6g7%2FpnAdvYGpYAsSjN9tS%2F3PFFqA9C3h7VVy5sisvnW1mnTlxAlUdZOX%2BR8W%2BD2gNPYWEBO91qaBmswNErVv%2B0ixLovC%2FNgqhgE7r417QF2ww092X0QY6sQFB6TL1wnEuNwJmOGMLTN22zS2LJj0uDB8GFxxg2Ws%2FkaEQ9H3RdQ9idP4w%2BKbWyZUtAERzRSDaKLbAO6ldwLnyRlKnKWx6nB2wJG63pdO9tm2ackiFcmF6dKS2CAJLE2mDK1BLd7Ic3PPX73oGnobcU1Kof337EkLQOGCmlR3zNNE5cxq9QmubgUPI76j%2Bx0eUfal4rzLMVLrwAuqicsxvTo%2Bo3Ut%2B4s2xwBhzqEp9hnU%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UYC7BXE2O%2F20260607%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260607T225855Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=aa82d4c8dd35176b00bc84b921e9f215471dc22f5db83ec86446ffb9ead659c0 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=IQoJb3JpZ2luX2VjEN%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIB4wCVyVZdlL%2F2GZEn5yvWVuyt1pKURkxk6IQ%2BDPNzLZAiEA3Vq9HXsyKU8f5lFhpl0I5d6rIhPZoWaX4Qk4oP51aKgqwQUIp%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDBzJLyY3YhlPR9MbTiqVBXVe7zUeVav3VJgERopAEOxQHqIwxiJ0n80frfSFAyIiPIq1m1KxruZVSNN4O70t2aVY%2F8OGDDG2Fm1LY2tkKTi2HkD8WnUEXQd1X7CoiW%2FXtZ6LsTDwsB%2FoDqD1mSa4CJHBwn21aiNz5G2pMUDK%2BRsT2s%2B4XNneUphGfNqGVlRvica06%2BrOiMLGsIaMuIEc%2BpWp%2BXFOTIuCd%2FA7HdsVZ3n8GMow3nidGPogq8KDr57ByYr7uzqGrr9b4tpZExENwIU%2BYx5%2F32eIn9tc2DIKjuB%2FRy%2B4fuEsfKTyttVoC98mLkRaxikFAZpMBl9mZzoqjkcIx%2BpgbEKXg%2Fs6zrjwbqucynsvM6cs6fUAQ0nmftnfpYvLRYxfAu6uQ7VUN8Jg%2Ftd968WDuvPxJexqWpe191aTzoDkXB8xO20%2Bqn0%2BvkKVfu4nacWfn8gRff1TROo6WnR8%2FKoMiwUKhmXd%2Fs2K7tr5zlmynZlk7FwzRSIJIOdL4i6trtwBDiuCK0YxHtP%2BtWf%2BSh1UEq5uzoDHBc8VFQqKPhe9xu5hsdXZymT6ac7J0VwNxjwLaDSxJP3LJagUR7%2FERm2zB2qnnid3Fhtp6TScsNggBDx1ym0GjRWYgVJ4HxTMf6k4%2Bj7XrSTn9zDVaSszUzuiag%2Fbbe%2FYNsMeA40ebwqPpj72XaiqwScOTIfnwru4G4beSDdabegX7A%2FWNM3qnEJT0%2Bd0rsOXqSQONqLU5fFif%2B0yp2TlbDWQQKt5kYhuoyTBzcgE8xraiHOXPEBCnYb6g7%2FpnAdvYGpYAsSjN9tS%2F3PFFqA9C3h7VVy5sisvnW1mnTlxAlUdZOX%2BR8W%2BD2gNPYWEBO91qaBmswNErVv%2B0ixLovC%2FNgqhgE7r417QF2ww092X0QY6sQFB6TL1wnEuNwJmOGMLTN22zS2LJj0uDB8GFxxg2Ws%2FkaEQ9H3RdQ9idP4w%2BKbWyZUtAERzRSDaKLbAO6ldwLnyRlKnKWx6nB2wJG63pdO9tm2ackiFcmF6dKS2CAJLE2mDK1BLd7Ic3PPX73oGnobcU1Kof337EkLQOGCmlR3zNNE5cxq9QmubgUPI76j%2Bx0eUfal4rzLMVLrwAuqicsxvTo%2Bo3Ut%2B4s2xwBhzqEp9hnU%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UYC7BXE2O%2F20260607%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260607T225855Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=33e88dcf814259be1898ef032109f0d39c319ca0afba2bee9633f0988bb40928 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}]}}