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{\footer\pard\tqr\tx9638\plain\f0\fs18\i      \tab{\txfielddef{\*\txfieldstart\txfieldtype3\txfieldflags0}{\*\txfielddatadef\txfielddatatype3\txfielddata 00030001}{\*\txfieldtext \plain\f0\fs18\i }{\field{\*\fldinst {\plain\f0\fs18\i PAGE }}{\fldrslt{\plain\f0\fs18\i 1}}}}\par}\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b 1.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 2.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\plain\f0\fs20\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 3.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 4.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 5.\plain\f1\fs22\tab D\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 6.\plain\f1\fs22\tab D\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 7.\plain\f1\fs22\tab A\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\plain\f0\fs20\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 8.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 9.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 10.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b\page\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 11.\plain\f1\fs22\tab C\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 12.\plain\f1\fs22\tab A\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 13.\plain\f1\fs22\tab C\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 14.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 15.\plain\f1\fs22\tab B\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [1]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071 16.\plain\f1\fs22\tab Linear momentum\par\pard\s19\fi-1134\li1701\ri567\sb120\tx1134\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (a)\tab (i)\tab product of mass and velocity / \plain\f1\fs22\i OWTTE\plain\f1\fs22 ;\tab 1\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (ii)\tab change of momentum / \plain\f1\fs22\i OWTTE\plain\f1\fs22 ;\tab 1\par\pard\s21\fi-567\li2268\ri567\tx2268\tqr\tx8505\tqr\tx9071\plain\f1\fs22\i Accept product of force and time taken / OWTTE.\plain\f1\fs22\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (b)\tab they are vectors because they have magnitude and direction;\tab 1\par\pard\s22\fi-567\li1134\ri567\tx1134\tqr\tx8505\tqr\tx9071\tab\plain\f1\fs22\i Answer needs some form of explanation to receive the mark but it can\plain\f1\fs22\line\plain\f1\fs22\i be simple\plain\f1\fs22 .\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (c)\tab appropriate reference / naming of Newton III;\par\pard\s20\fi-567\li1701\ri567\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 to give forces equal and opposite;\par\pard\s20\fi-567\li1701\ri567\tx1701\tqr\tx8505\tqr\tx9071 time of collision the same for each particle;\par\pard\s20\fi-567\li1701\ri567\tx1701\tqr\tx8505\tqr\tx9071 appropriate reference / naming of Newton II;\par\pard\s20\fi-567\li1701\ri567\tx1701\tqr\tx8505\tqr\tx9071 impulse / change in momentum equal and opposite;\tab 5\par\pard\s19\fi-1134\li1701\ri567\sb120\tx1134\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22\page\par\pard\s19\fi-1134\li1701\ri567\sb120\tx1134\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (d)\tab (i)\tab change of momentum = 0.05 \plain\f2\fs22\loch\f2\hich\f2 \'b4\plain\f1\fs22  (20 \plain\f2\fs22 -\plain\f1\fs22  (\plain\f2\fs22 -\plain\f1\fs22  18));\par\pard\s21\fi-567\li2268\ri567\tx2268\tqr\tx8505\tqr\tx9071\plain\f1\fs22 = 1.9 kgms\plain\f2\fs16\up10 -\plain\f1\fs16\up10 1\plain\f1\fs22 ;\tab 2\par\pard\s21\fi-567\li2268\ri567\tx2268\tqr\tx8505\tqr\tx9071\plain\f1\fs22\i Award \plain\f1\fs22\b\i [1 max]\plain\f1\fs22\i  for forgetting vector nature ie 0.1 kg ms\plain\f2\fs16\i\up10 -\plain\f1\fs16\i\up10 1\plain\f1\fs22 .\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (ii)\tab force = answer to (i) / 0.08;\par\pard\s21\fi-567\li2268\ri567\tx2226\tx2268\tqr\tx8505\tqr\tx9071\plain\f1\fs22\tab = 23.75N \plain\f2\fs22\loch\f2\hich\f2 \'bb\plain\f1\fs22  24N;\tab 2\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (iii)\tab shorter contact time / greater rebound speed;\par\pard\s21\fi-567\li2268\ri567\tx2268\tqr\tx8505\tqr\tx9071\plain\f1\fs22 so rate of change in momentum larger / \plain\f1\fs22\i OWTTE\plain\f1\fs22 ;\par\pard\s21\fi-567\li2268\ri567\tx2268\tqr\tx8505\tqr\tx9071 appropriate reference to Newton\loch\f1\hich\f1 \'92s laws;\tab 3\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [15]\plain\f0\fs20\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s23\fi-1134\li1134\ri567\sb120\tx567\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s23\fi-1134\li1134\ri567\sb120\tx567\tx1134\tqr\tx8505\tqr\tx9071 17.\plain\f1\fs22\tab (a)\tab zero;\tab 1\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (b)\tab resultant vertical force from ropes = (2.15 \plain\f2\fs22\loch\f2\hich\f2 \'b4\plain\f1\fs22  10\plain\f1\fs16\up10 3\plain\f1\fs22  \plain\f2\fs22 -\plain\f1\fs22  weight) = 237N;\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 equating their result to 2\plain\f1\fs22\i T\plain\f1\fs22  sin50;\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22\i ie\plain\f1\fs22  2\plain\f1\fs22\i T\plain\f1\fs22  sin 50 = 237\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071 calculation to give \plain\f1\fs22\i T\plain\f1\fs22  = 154.7N \plain\f2\fs22\loch\f2\hich\f2 \'bb\plain\f1\fs22  150N;\tab 3\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22\tab\plain\f1\fs22\i Accept any value of tension from 130 N to 160 N. Award \plain\f1\fs22\b\i [2]\plain\f1\fs22\i  for missing\plain\f1\fs22\line\plain\f1\fs22\i factor of 2 but otherwise correct ie 309 N.\plain\f1\fs22\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (c)\tab correct \plain\f1\fs22\ul substitution\plain\f1\fs22  into \plain\f1\fs22\i F\plain\f1\fs22  = \plain\f1\fs22\i ma\plain\f1\fs22 ;\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 to give \plain\f1\fs22\dn30 {\pict\wmetafile8\picw4410\pich1199\picwgoal2505\pichgoal675\picscalex100\picscaley100 010009000003c401000003001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b0200000000050000000c024004a00f1200000026060f001a00ffffffff000010000000c0ffffffb8ffffff600f0000f80300000b00000026060f000c004d617468547970650000f00008000000fa0200001000000000000000040000002d01000005000000140200024402050000001302000208081c000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e00d89ff377e19ff3772020f577ac106629040000002d01010008000000320a6002040f010000003b7908000000320a6002da0b020000006d7308000000320a6002480a02000000323108000000320a6002e809010000002e3108000000320a6002280901000000313108000000320a9303b80502000000313008000000320a9303540302000000393508000000320a9303f402010000002e3508000000320a9303340201000000313509000000320a6e01090403000000323337651c000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e00d89ff377e19ff3772020f577ac106629040000002d01020004000000f001010008000000320ab4013f0e01000000323308000000320ae70253070100000032331c000000fb0220ff0000000000009001000000020002001053796d626f6c0000a10e0a5aa0f11200d89ff377e19ff3772020f577ac106629040000002d01010004000000f001020008000000320ab401b70d010000002d331c000000fb0280fe0000000000009001000000020002001053796d626f6c000046110a23a0f11200d89ff377e19ff3772020f577ac106629040000002d01020004000000f001010008000000320a60024a08010000003d3308000000320a9303e60401000000b43308000000320a60023601010000003d331c000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e00d89ff377e19ff3772020f577ac106629040000002d01010004000000f001020008000000320a60023a000100000061330a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000000102022253797374656d0029ac10662900000a0021008a010000000002000000bcf31200040000002d01020004000000f0010100030000000000}\plain\f1\fs22\tab 2\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22\i Watch for ecf.\plain\f1\fs22\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tx1610\tqr\tx8505\tqr\tx9071\plain\f1\fs22\tab\plain\f1\fs22\b\i NB \plain\f1\fs22\i Depending on value of g answer will vary from 1.0(3) ms\plain\f2\fs16\i\up10 -\plain\f1\fs16\i\up10 2\plain\f1\fs22\line\tab\plain\f1\fs22\i to 1.2(3) ms\plain\f2\fs16\i\up10 -\plain\f1\fs16\i\up10 2\plain\f1\fs22\i  all of which are acceptable.\plain\f1\fs22\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (d)\tab statement that air friction increases with increased speed seen / implied;\par\pard\s22\fi-567\li1134\ri567\tx1134\tqr\tx8505\tqr\tx9071\tab in 10 seconds friction goes from 0 N to 237 N / force increases from zero\line until it equals the net upward accelerating force;\tab 2\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [8]\plain\f0\fs20\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s24\fi-1701\li1701\ri567\sb120\tx567\tx1134\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s24\fi-1701\li1701\ri567\sb120\tx567\tx1134\tx1701\tqr\tx8505\tqr\tx9071 18.\plain\f1\fs22\tab (a)\tab (i)\tab speed = \plain\f1\fs22\dn22 {\pict\wmetafile8\picw1482\pich1023\picwgoal840\pichgoal585\picscalex100\picscaley100 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}\plain\f1\fs22  \plain\f1\fs22\b\i or\plain\f1\fs22  \plain\f1\fs22\dn22 {\pict\wmetafile8\picw880\pich1023\picwgoal495\pichgoal585\picscalex100\picscaley100 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}\plain\f1\fs22 ;\line = 180 cm s\plain\f1\fs16\up10\loch\f1\hich\f1 \'961;\plain\f1\fs22\tab 2\par\pard\s25\li2268\ri1701\sb120\tx2268\tx2693\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\tx10800\plain\f1\fs22\i Award \plain\f1\fs22\b\i [1 max]\plain\f1\fs22\i  if time incorrect.\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22\page\par\pard\s20\fi-567\li1701\ri567\sb120\tx1701\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (ii)\tab\plain\f1\fs22\i s\plain\f1\fs22  = \plain\f1\fs22\dn12 {\pict\wmetafile8\picw353\pich635\picwgoal195\pichgoal360\picscalex100\picscaley100 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}\plain\f1\fs22\i gt\plain\f1\fs16\up10 2\plain\f1\fs22  \plain\f1\fs22\b\i or\plain\f1\fs22  80 = \plain\f1\fs22\dn12 {\pict\wmetafile8\picw353\pich635\picwgoal195\pichgoal360\picscalex100\picscaley100 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}\plain\f1\fs22  \loch\f1\hich\f1 \'d7 \plain\f1\fs22\i g\plain\f1\fs22  \loch\f1\hich\f1 \'d7 0.4\plain\f1\fs16\up10 2\plain\f1\fs22 ;\line\plain\f1\fs22\i g\plain\f1\fs22  = 10 m s\plain\f1\fs16\up10\loch\f1\hich\f1 \'962\plain\f1\fs22 ;\tab 2\par\pard\s25\li2268\ri1701\sb120\tx2268\tx2693\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\tx10800\plain\f1\fs22\i Award answer with no working \plain\f1\fs22\b\i [0]\plain\f1\fs22\i .\par If it is clear that same mistake as in (i) has been made for the timing, then award full marks in (ii).\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (b)\tab horizontal distance moved = 90 cm; \plain\f1\fs22\i (allow ecf from (a) (i))\line\plain\f1\fs22 vertical distance moved = 125 cm; \plain\f1\fs22\i (allow ecf from (a) (ii))\line\plain\f1\fs22 correct plot from candidate\loch\f1\hich\f1 \'92s working;\tab 3\par\pard\s25\li2268\ri1701\sb120\tx2268\tx2693\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\tx10800\plain\f1\fs22\i Award full marks if the plot is correct but there is no working shown.\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tx1843\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tx1843\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (c)\tab\plain\f1\fs22\i sketch: \plain\f1\fs22 overall reasonable shape (smooth curve \loch\f1\hich\f1 \'93below\'94 given path);\line\tab horizontal distance moved always decreasing when compared to\line\tab given path; angle to vertical always greater than given path;\tab 3\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [10]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\s23\fi-1134\li1134\ri567\tx567\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22\b  \par\pard\s23\fi-1134\li1134\ri567\tx567\tx1134\tqr\tx8505\tqr\tx9071 19.\plain\f1\fs22\tab (a)\tab if the total external force acting upon a system is zero / for an isolated\line system;\line the momentum of the system is constant;\tab 2\par\pard\s25\li2268\ri1701\sb120\tx2268\tx2693\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\tx10800\plain\f1\fs22\i Award \plain\f1\fs22\b\i [1 max] \plain\f1\fs22\i if the answer is in terms of collisions.\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (b)\tab 131 g of xenon contains 6.02 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 23\plain\f1\fs22  / \plain\f1\fs22\i N\plain\f1\fs16\i\dn4 A\plain\f1\fs22  atoms;\line mass of 1 atom = \plain\f1\fs22\dn24 {\pict\wmetafile8\picw1905\pich1058\picwgoal1080\pichgoal600\picscalex100\picscaley100 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}\plain\f1\fs22  = 2.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'9622\plain\f1\fs22  g= 2.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'9625\plain\f1\fs22  kg;\line\plain\f1\fs22\b\i or\line\plain\f1\fs22 mass of nucleon 1.66 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'9627\plain\f1\fs22  kg;\line mass of xenon atom = 131 \loch\f1\hich\f1 \'d7 l.66 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'9627\plain\f1\fs22  kg = 2.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'9625\plain\f1\fs22  kg;\tab 2\plain\f1\fs22\b\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (c)\tab time = 1.5 \loch\f1\hich\f1 \'d7 3.2 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  = 4.8 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  s;\line no of atoms per second = \plain\f1\fs22\dn24 {\pict\wmetafile8\picw3598\pich1058\picwgoal2040\pichgoal600\picscalex100\picscaley100 0100090000038f01000003001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b0200000000050000000c02c003c00c1200000026060f001a00ffffffff000010000000c0ffffffacffffff800c00006c0300000b00000026060f000c004d617468547970650000c00008000000fa0200001000000000000000040000002d010000050000001402e8014000050000001302e8016b0c1c000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e00b8a4f377c1a4f3772030f5779a0a6636040000002d01010008000000320acf02b20b01000000377908000000320acf0229050200000032351c000000fb02a0fe0000000000009001000000000402001054696d6573204e657720526f6d616e00b8a4f377c1a4f3772030f5779a0a6636040000002d01020004000000f001010008000000320a6d033a0a02000000313008000000320a6d037d0801000000383008000000320a6d032508010000002e3008000000320a6d03750701000000343008000000320a6d03250302000000313008000000320a6d03630101000000323008000000320a6d030b01010000002e3008000000320a6d035b0001000000323008000000320a6101b0050200000038311c000000fb02a0fe0000000000009001000000020002001053796d626f6c0000a10a0aef40f11200b8a4f377c1a4f3772030f5779a0a6636040000002d01010004000000f001020008000000320a6d035c0901000000b43108000000320a6d03700601000000b43108000000320a6d03470201000000b4311c000000fb0220ff0000000000009001000000020002001053796d626f6c0000570a0a9040f11200b8a4f377c1a4f3772030f5779a0a6636040000002d01020004000000f001010008000000320acf02a104010000002d310a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000000102022253797374656d00369a0a663600000a0021008a0100000000010000005cf31200040000002d01010004000000f0010200030000000000}\plain\f1\fs22  = 7.7 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 18\plain\f1\fs22  s\plain\f1\fs16\up10\loch\f1\hich\f1 \'961\plain\f1\fs22 ;\line\plain\f1\fs22\b\i or\line\plain\f1\fs22 no of atoms in original mass = \plain\f1\fs22\dn24 {\pict\wmetafile8\picw1870\pich1058\picwgoal1065\pichgoal600\picscalex100\picscaley100 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}\plain\f1\fs22  = 3.7 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 26\plain\f1\fs22 ;\line time = \plain\f1\fs22\dn24 {\pict\wmetafile8\picw1729\pich1127\picwgoal975\pichgoal645\picscalex100\picscaley100 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}\plain\f1\fs22  = 4.8 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  s = 1.5 years;\tab 2\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22\page\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (d)\tab rate of change of momentum of the xenon atoms\line = 7.7 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 18\plain\f1\fs22  \loch\f1\hich\f1 \'d7 2.2 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'9625\plain\f1\fs22  \loch\f1\hich\f1 \'d7 3.0 \'d7 10\plain\f1\fs16\up10 4\plain\f1\fs22 ;\line = 5.1 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'962\plain\f1\fs22  N;\line = mass \loch\f1\hich\f1 \'d7 acceleration;\line where mass = (540 + 81) kg;\line to give acceleration of spaceship = \plain\f1\fs22\dn24 {\pict\wmetafile8\picw1693\pich1127\picwgoal960\pichgoal645\picscalex100\picscaley100 0100090000037f01000003001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b0200000000050000000c02000400061200000026060f001a00ffffffff000010000000c0ffffffa8ffffffc0050000a80300000b00000026060f000c004d617468547970650000c00008000000fa0200001000000000000000040000002d010000050000001402280240000500000013022802aa051c000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e00b8a4f377c1a4f3772030f577b00a6627040000002d01010008000000320a0f03c80401000000327908000000320a0301f5040100000032791c000000fb02a0fe0000000000009001000000000402001054696d6573204e657720526f6d616e00b8a4f377c1a4f3772030f577b00a6627040000002d01020004000000f001010008000000320aad034c0302000000313008000000320aad038a0101000000323008000000320aad033201010000002e3008000000320aad03820001000000363008000000320aa101ff0202000000313008000000320aa101580101000000313008000000320aa1010001010000002e3008000000320aa10150000100000035301c000000fb02a0fe0000000000009001000000020002001053796d626f6c0000ae0a0ac340f11200b8a4f377c1a4f3772030f577b00a6627040000002d01010004000000f001020008000000320aad036e0201000000b43008000000320aa101210201000000b4301c000000fb0220ff0000000000009001000000020002001053796d626f6c0000900a0a4540f11200b8a4f377c1a4f3772030f577b00a6627040000002d01020004000000f001010008000000320a03017b04010000002d300a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000000102022253797374656d0027b00a662700000a0021008a0100000000010000005cf31200040000002d01010004000000f0010200030000000000}\plain\f1\fs22 ;\line = (8.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'965\plain\f1\fs22  m s\plain\f1\fs16\up10\loch\f1\hich\f1 \'962\plain\f1\fs22 )\tab 5\par\pard\s25\li2268\ri1701\sb120\tx2268\tx2693\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\tx10800\plain\f1\fs22\i Accept if mass of fuel omitted (= 9.4 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\i\up10\loch\f1\hich\f1 \'965\plain\f1\fs22\i  m s\plain\f1\fs16\i\up10\loch\f1\hich\f1 \'962\plain\f1\fs22\i ).\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (e)\tab\plain\f1\fs22\i a\plain\f1\fs22  = \plain\f1\fs22\dn22 {\pict\wmetafile8\picw492\pich1023\picwgoal285\pichgoal585\picscalex100\picscaley100 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}\plain\f1\fs22 ;\line since \plain\f1\fs22\i m\plain\f1\fs22  is \plain\f1\fs22\ul decreasing\plain\f1\fs22  with time, then \plain\f1\fs22\i a\plain\f1\fs22  will be \plain\f1\fs22\ul increasing\plain\f1\fs22  with time;\tab 2\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (f)\tab change in speed = area under graph;\line = (8.2 \loch\f1\hich\f1 \'d7 4.8) \'d7 10\plain\f1\fs16\up10 2\plain\f1\fs22  + \plain\f1\fs22\dn12 {\pict\wmetafile8\picw353\pich635\picwgoal195\pichgoal360\picscalex100\picscaley100 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}\plain\f1\fs22 (4.8 \loch\f1\hich\f1 \'d7 1.3) \'d7 10\plain\f1\fs16\up10 2\plain\f1\fs22 ;\line final speed = (8.2 \loch\f1\hich\f1 \'d7 4.8) \'d7 10\plain\f1\fs16\up10 2\plain\f1\fs22  + \plain\f1\fs22\dn12 {\pict\wmetafile8\picw353\pich635\picwgoal195\pichgoal360\picscalex100\picscaley100 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}\plain\f1\fs22 (4.8 \loch\f1\hich\f1 \'d7 1.3) \'d7 10\plain\f1\fs16\up10 2\plain\f1\fs22  + 1.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 3\plain\f1\fs22 ;\line 5.4\loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 3\plain\f1\fs22  m s\plain\f1\fs16\up10\loch\f1\hich\f1 \'961\plain\f1\fs22 ;\line\plain\f1\fs22\b\i or\plain\f1\fs22\i\line use\plain\f1\fs22  \plain\f1\fs22\i of\plain\f1\fs22  \plain\f1\fs22\i v\plain\f1\fs22  = \plain\f1\fs22\i u\plain\f1\fs22  + \plain\f1\fs22\i at\line u\plain\f1\fs22  = 1.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 3\plain\f1\fs22  m s\plain\f1\fs16\up10\loch\f1\hich\f1 \'961\plain\f1\fs22 ;\plain\f1\fs22\i\line\plain\f1\fs22 average acceleration from the graph = \plain\f1\fs22\dn12 {\pict\wmetafile8\picw353\pich635\picwgoal195\pichgoal360\picscalex100\picscaley100 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}\plain\f1\fs22 (8.2 + 9.45) \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'965\plain\f1\fs22 ;\line = 8.8 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 5\plain\f1\fs22  m s\plain\f1\fs16\up10\loch\f1\hich\f1 \'962\plain\f1\fs22 ;\line final speed = 4.8 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  \loch\f1\hich\f1 \'d7 8.8 \'d7 10\plain\f1\fs16\up10\loch\f1\hich\f1 \'965\plain\f1\fs22  +1.2 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 3\plain\f1\fs22  = 5.4 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 3\plain\f1\fs22  m s\plain\f1\fs16\up10\loch\f1\hich\f1 \'961\plain\f1\fs22 ;\tab 4\plain\f1\fs22\i\par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22  \par\pard\s22\fi-567\li1134\ri567\sb120\tx1134\tqr\tx8505\tqr\tx9071\plain\f1\fs22 (g)\tab\plain\f1\fs22\i t\plain\f1\fs22  = \plain\f1\fs22\dn24 {\pict\wmetafile8\picw2293\pich1127\picwgoal1305\pichgoal645\picscalex100\picscaley100 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}\plain\f1\fs22 = 8.7 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  s;\line so total time 4.8 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  + 8.7 \loch\f1\hich\f1 \'d7 10\plain\f1\fs16\up10 7\plain\f1\fs22  s \plain\f2\fs22\loch\f2\hich\f2 \'bb\plain\f1\fs22  4.2y;\tab 2\par\pard\s18\qr\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\tx9360\tx10080\plain\f0\fs20\b [19]\par\pard\s17\fi-567\li567\ri567\sb120\tx567\tqr\tx8505\tqr\tx9071\plain\f1\fs22\par\pard\par }