{"id":24,"date":"2014-10-12T08:18:18","date_gmt":"2014-10-12T08:18:18","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/?page_id=24"},"modified":"2019-10-29T09:31:18","modified_gmt":"2019-10-29T09:31:18","slug":"dynamics-space-exercise-6","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/dynamics-space-exercise-6\/","title":{"rendered":"Dynamics &amp; Space Exercise 6"},"content":{"rendered":"<p>1. Find the unbalanced force required to accelerate a 6kg mass at 3ms<sup>-2<\/sup>.<\/p>\n<p>2. Find the acceleration of a 200kg rock, rolling down a hill, if the unbalanced force acting on it is 1kN.<\/p>\n<p>3. What is the mass of a trolley if an unbalanced force of 12N causes it to accelerate at 4ms<sup>-2<\/sup>?<\/p>\n<p>4. The forces acting on a car of mass 1000kg are shown below.<\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6a1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-74\" title=\"Dyn Spc 1_6a\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6a1.png\" alt=\"\" width=\"589\" height=\"57\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6a1.png 486w, https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6a1-300x29.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjECQaCWV1LXdlc3QtMSJIMEYCIQDVzbrfoXB2izs6%2Btunx0UQIDw3NQr6vL9NBbqZMlnz8gIhAMBbBNW1d8wJbsXotTWnrnGn0LuNUCHOTdmVu2teHp1GKsIFCO3%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQBRoMMjczNTcwMTk1NDMzIgyitvTMF4RDcIO7chAqlgWxr1L3nnv%2FIBW07XBads8jwmOGXLNkaVH6eqokJyZ0ol5SpOmud6I3axfrBzhRy6RE4nvwnujlnH%2FJk2CoEiMu8bDOxew0HRO50na%2FXqJDWYsl%2BTOrI6iPvlf1fLsLa9idg42GPvy0AETyuapbZNPgNggSK5Czcnvjs3tFJhdDXZQrft27AdhjOkxiqtlVdA7ffZQOWTSLn7fABREjGaT06%2Fh3dc0e%2FKZUyOXht1o9hx%2BpjCm17ZJJuRiMqATbS9SfPEjyoWwjT1LKmsjVI%2B%2FsD9kbilssfnOqmdqHQpeBMs1rAGxEqwHP0QlGzXXOoeHJIy6hX8bMcOsTXuRD7wcJGrxGgYYZ71cNN53lmGIAA94Two7mhi%2FIkPlTwVYE4l7b5jyzBmjDfZg8IkDQXIPVU6FIrh6sOHugnHqyt1tWj1Em7ztHTFOB75xrV2b5E0cOpj7yOY%2BWvP3W2vonR2wZ7BFyXIzc58MOqrgr%2FVJqSiG79fuLKjHcyhH2u%2B2zmps9de1lIaswJq%2FZUzOyRLiBKRCRjpZVIMfILBXyQocAVvEnOL8a6NMuqomvvgDhh7UMDcs8%2FsRB0XxZlTzt022ts1%2FWQVop8GCqM6wEhvthhZ9KvMmzcDeHaHF40t%2Bdi4uplboJzNX6xjBd%2Bce2AXJgpFxAwA4xVtjw6pWNaG7gCmh%2BMoR4JY8GUObD1yhgdXhUdspjEjAdDEPp%2BzxZB5MTFzaJtwxm7flh%2BNQ%2F8bUDrarvKyXmBARC%2BVUlITPRyaltXQPF6ncd2%2FwjgHGKO4zXPp0u3%2FUL0RE8Z%2BBMOJltGlmQv%2Fg9wdfhJsIuuMsrRNTiqmJ%2BSW1F6EqgvX1xME22LnizrLfn7Yoh7Y3SgTenIQuWQDhxtDCpxNXOBjqwAftTBLpVKj%2BB6EM8MTZdt6%2BhYE6RgDPwVdanfBBNp3uA2jhEo0PcH%2BxO4%2F1tBVDfUfpH9TkQvcmEdnrTubUYralXUCYfRlLLblpZ1k5WCpsnEjUJVJbe1oOQNVuoX2jxqQdfNUq5aE2lIOk19cDwfby0XRtvtUBWQuIB817%2FbCzuE2MzpayEOmZDh4uFjhehGRbIQMo8xMZyrDAeYht5EMS86QUC7E8EqHYIjPT5zVTY&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UUR5QGZST%2F20260407%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260407T203145Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=f4933b58ccc7064d77c38c717334f1a8f430ce5e9a5b12bd15c3711d621afe30 300w\" sizes=\"auto, (max-width: 589px) 100vw, 589px\" \/><\/a><\/p>\n<p style=\"text-align: left;padding-left: 30px\">(a) Find the unbalanced force acting on the car.<\/p>\n<p style=\"text-align: left;padding-left: 30px\">(b) Calculate the acceleration of the car.<\/p>\n<p>5. A model motor boat of mass 4 kg is initially at rest on a pond. The boat&#8217;s motor, which provides a constant force of 5 N, is switched on. As the boat accelerates, the force of friction acting on it increases. A graph of the force of friction acting on the boat against time is shown.<\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6c.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-75\" title=\"Dyn Spc 1_6c\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6c.png\" alt=\"\" width=\"590\" height=\"334\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6c.png 590w, https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6c-300x169.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjECQaCWV1LXdlc3QtMSJIMEYCIQDVzbrfoXB2izs6%2Btunx0UQIDw3NQr6vL9NBbqZMlnz8gIhAMBbBNW1d8wJbsXotTWnrnGn0LuNUCHOTdmVu2teHp1GKsIFCO3%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQBRoMMjczNTcwMTk1NDMzIgyitvTMF4RDcIO7chAqlgWxr1L3nnv%2FIBW07XBads8jwmOGXLNkaVH6eqokJyZ0ol5SpOmud6I3axfrBzhRy6RE4nvwnujlnH%2FJk2CoEiMu8bDOxew0HRO50na%2FXqJDWYsl%2BTOrI6iPvlf1fLsLa9idg42GPvy0AETyuapbZNPgNggSK5Czcnvjs3tFJhdDXZQrft27AdhjOkxiqtlVdA7ffZQOWTSLn7fABREjGaT06%2Fh3dc0e%2FKZUyOXht1o9hx%2BpjCm17ZJJuRiMqATbS9SfPEjyoWwjT1LKmsjVI%2B%2FsD9kbilssfnOqmdqHQpeBMs1rAGxEqwHP0QlGzXXOoeHJIy6hX8bMcOsTXuRD7wcJGrxGgYYZ71cNN53lmGIAA94Two7mhi%2FIkPlTwVYE4l7b5jyzBmjDfZg8IkDQXIPVU6FIrh6sOHugnHqyt1tWj1Em7ztHTFOB75xrV2b5E0cOpj7yOY%2BWvP3W2vonR2wZ7BFyXIzc58MOqrgr%2FVJqSiG79fuLKjHcyhH2u%2B2zmps9de1lIaswJq%2FZUzOyRLiBKRCRjpZVIMfILBXyQocAVvEnOL8a6NMuqomvvgDhh7UMDcs8%2FsRB0XxZlTzt022ts1%2FWQVop8GCqM6wEhvthhZ9KvMmzcDeHaHF40t%2Bdi4uplboJzNX6xjBd%2Bce2AXJgpFxAwA4xVtjw6pWNaG7gCmh%2BMoR4JY8GUObD1yhgdXhUdspjEjAdDEPp%2BzxZB5MTFzaJtwxm7flh%2BNQ%2F8bUDrarvKyXmBARC%2BVUlITPRyaltXQPF6ncd2%2FwjgHGKO4zXPp0u3%2FUL0RE8Z%2BBMOJltGlmQv%2Fg9wdfhJsIuuMsrRNTiqmJ%2BSW1F6EqgvX1xME22LnizrLfn7Yoh7Y3SgTenIQuWQDhxtDCpxNXOBjqwAftTBLpVKj%2BB6EM8MTZdt6%2BhYE6RgDPwVdanfBBNp3uA2jhEo0PcH%2BxO4%2F1tBVDfUfpH9TkQvcmEdnrTubUYralXUCYfRlLLblpZ1k5WCpsnEjUJVJbe1oOQNVuoX2jxqQdfNUq5aE2lIOk19cDwfby0XRtvtUBWQuIB817%2FbCzuE2MzpayEOmZDh4uFjhehGRbIQMo8xMZyrDAeYht5EMS86QUC7E8EqHYIjPT5zVTY&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UUR5QGZST%2F20260407%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260407T203145Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=37090d0297c96d51cb5b1cc53e67dc3283d5b69cb63523f44033523cee6b3e0e 300w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>(a)<\/p>\n<p style=\"padding-left: 30px\">(i) State the force of friction acting on the boat 2 s after the motor is switched on.<\/p>\n<p style=\"padding-left: 30px\">(ii) Calculate the acceleration of the boat at this time.<\/p>\n<p style=\"padding-left: 30px\">(iii) Describe and explain the movement of the boat after 7 s.<\/p>\n<p>&nbsp;<\/p>\n<p>6. Stephen and Jack are invited along to \u2018Techno toys\u2019 workshop to try out a new remote control car. They line the car up to race along the 200 m track and then start it off.<\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6d.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-76\" title=\"Dyn Spc 1_6d\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6d.png\" alt=\"\" width=\"244\" height=\"131\" \/><\/a><\/p>\n<p>(a) Describe how the designers could work out the car\u2019s instantaneous speed as it goes round the corner of the track. Your answer must include:<\/p>\n<p style=\"padding-left: 60px\">&#8211; any apparatus they would need<br \/>\n&#8211; any measurements they would take<br \/>\n&#8211; any calculations they would do.<\/p>\n<p>&nbsp;<\/p>\n<p>The speed time graph below represents the motion of the car during part of the race.<\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6e.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-77\" title=\"Dyn Spc 1_6e\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6e.png\" alt=\"\" width=\"580\" height=\"221\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6e.png 567w, https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/hyndsecphysu1hwrk\/uploads\/sites\/5085\/2014\/10\/Dyn-Spc-1_6e-300x114.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjECQaCWV1LXdlc3QtMSJIMEYCIQDVzbrfoXB2izs6%2Btunx0UQIDw3NQr6vL9NBbqZMlnz8gIhAMBbBNW1d8wJbsXotTWnrnGn0LuNUCHOTdmVu2teHp1GKsIFCO3%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEQBRoMMjczNTcwMTk1NDMzIgyitvTMF4RDcIO7chAqlgWxr1L3nnv%2FIBW07XBads8jwmOGXLNkaVH6eqokJyZ0ol5SpOmud6I3axfrBzhRy6RE4nvwnujlnH%2FJk2CoEiMu8bDOxew0HRO50na%2FXqJDWYsl%2BTOrI6iPvlf1fLsLa9idg42GPvy0AETyuapbZNPgNggSK5Czcnvjs3tFJhdDXZQrft27AdhjOkxiqtlVdA7ffZQOWTSLn7fABREjGaT06%2Fh3dc0e%2FKZUyOXht1o9hx%2BpjCm17ZJJuRiMqATbS9SfPEjyoWwjT1LKmsjVI%2B%2FsD9kbilssfnOqmdqHQpeBMs1rAGxEqwHP0QlGzXXOoeHJIy6hX8bMcOsTXuRD7wcJGrxGgYYZ71cNN53lmGIAA94Two7mhi%2FIkPlTwVYE4l7b5jyzBmjDfZg8IkDQXIPVU6FIrh6sOHugnHqyt1tWj1Em7ztHTFOB75xrV2b5E0cOpj7yOY%2BWvP3W2vonR2wZ7BFyXIzc58MOqrgr%2FVJqSiG79fuLKjHcyhH2u%2B2zmps9de1lIaswJq%2FZUzOyRLiBKRCRjpZVIMfILBXyQocAVvEnOL8a6NMuqomvvgDhh7UMDcs8%2FsRB0XxZlTzt022ts1%2FWQVop8GCqM6wEhvthhZ9KvMmzcDeHaHF40t%2Bdi4uplboJzNX6xjBd%2Bce2AXJgpFxAwA4xVtjw6pWNaG7gCmh%2BMoR4JY8GUObD1yhgdXhUdspjEjAdDEPp%2BzxZB5MTFzaJtwxm7flh%2BNQ%2F8bUDrarvKyXmBARC%2BVUlITPRyaltXQPF6ncd2%2FwjgHGKO4zXPp0u3%2FUL0RE8Z%2BBMOJltGlmQv%2Fg9wdfhJsIuuMsrRNTiqmJ%2BSW1F6EqgvX1xME22LnizrLfn7Yoh7Y3SgTenIQuWQDhxtDCpxNXOBjqwAftTBLpVKj%2BB6EM8MTZdt6%2BhYE6RgDPwVdanfBBNp3uA2jhEo0PcH%2BxO4%2F1tBVDfUfpH9TkQvcmEdnrTubUYralXUCYfRlLLblpZ1k5WCpsnEjUJVJbe1oOQNVuoX2jxqQdfNUq5aE2lIOk19cDwfby0XRtvtUBWQuIB817%2FbCzuE2MzpayEOmZDh4uFjhehGRbIQMo8xMZyrDAeYht5EMS86QUC7E8EqHYIjPT5zVTY&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UUR5QGZST%2F20260407%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260407T203145Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=1ad48400295b9e7663b561e13118f5c63d45f9706158b22b573e97df71ebf53c 300w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/a><\/p>\n<p style=\"padding-left: 30px\">(b) Calculate the acceleration of the car during the first 6 seconds.<\/p>\n<p style=\"padding-left: 30px\">(c) How far did the car travel during the 18 seconds represented by the graph.<\/p>\n<p style=\"padding-left: 30px\">(d) During the period 6 s to 14 s the car exerted an engine force of 450 N. What size are the frictional forces acting on the car at this time.<\/p>\n<p style=\"padding-left: 30px\">(e) How could the designers reduce the frictional forces acting on the car.<\/p>\n<p style=\"padding-left: 30px\">(f) Draw the graph that would have been produced if the race had taken place on a wet day.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Find the unbalanced force required to accelerate a 6kg mass at 3ms-2. 2. Find the acceleration of a 200kg rock, rolling down a hill, if the unbalanced force acting on it is 1kN. 3. What is the mass of a trolley if an unbalanced force of 12N causes it to accelerate at 4ms-2? 4. &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/dynamics-space-exercise-6\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Dynamics &amp; Space Exercise 6<\/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-24","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages\/24","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=24"}],"version-history":[{"count":7,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages\/24\/revisions"}],"predecessor-version":[{"id":183,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/pages\/24\/revisions\/183"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/hyndsecphysu1hwrk\/wp-json\/wp\/v2\/media?parent=24"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}