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Final_exam_2010_for_Moodle

# Final_exam_2010_for_Moodle - 1 UCL DEPARTMENTS OF SCIENCE...

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UCL DEPARTMENTS OF SCIENCE & ENGINEERING UCL LANGUAGE CENTRE Final Exam Physics Instructions to Candidates 1. Answer ALL questions in Part A and THREE questions in Part B 2. No dictionaries are permitted 3. Only the following calculators are permitted: Casio FX83MS, FX83ES, FX83WA (battery powered) and Casio FX85MS, FX85ES, FX85WA (solar powered). 4. 10 minutes reading time is allowed in addition to the 3 hours for completing the paper 5. You may NOT start writing during the 10 minute reading time at the beginning of the test 6. The last page of this exam provides constants needed to do the questions. When the exam starts, you may remove this page from the exam. Date: Friday 25 th June 2010 Location: Christopher Ingold (Chemistry) Auditorium Time: 10:00 am – 1:00 pm Length: 3 Hours 1

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Section A Answer ALL of these questions. The total mark for this section is 40 marks. The marks for each question are shown at the end of the question. You should allow 45 minutes for this section. 1) A motorist travelling at a constant speed of 15 m s -1 passes a stationary police car. Just as the motorist passes, the police car starts off in pursuit at a constant acceleration of 3 m s -2 . How long does it take for the police car to catch up the motorist? How far has the police car travelled from its original position? [4] 2) A river of width 88 m flows from north to due south with a speed of 2.0 m s -1 . A man steers a motorboat across the river such that he arrives at the opposite bank directly east from his starting point. His speed relative to the water is 4.2 m s -1 . In what direction should the boat be headed? What is the speed of the boat relative to the banks of the river? How long does he take to cross the river? [4] 3) A mass is attached to the lower end of a vertical spring and as a result the spring extends by 0.25 m. From this equilibrium position the mass is pulled down a further distance of 0.12 m and released. a) What is the magnitude and direction of the velocity of the mass at a time t = 0.35 s after being released ? b) What is the displacement of the mass from equilibrium when the kinetic energy of the mass is 4 times the potential energy of the mass? [5] 4) A flat coil with 1000 turns and area 500 cm 2 lies on a horizontal surface in a region where the vertical component of the Earth’s magnetic field is 40 μT. The coil is picked up, turned over and then replaced on the surface in a time of 1.5 s. What is the average emf induced in the coil during this process? [3] 5) A string of mass 0.8 × 10 -3 kg is stretched between two supports a distance 0.75 m apart. It is vibrating at its fundamental frequency of 256 Hz. Evaluate the tension in the string. [4] 6) A sinusoidal emf from a signal generator is displayed on an oscilloscope and seen to have an amplitude of 12.5 V. What is the average power lost as heat when this emf is connected across a resistor of 200 Ω? What assumption have you made about the source of emf? [3]
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Final_exam_2010_for_Moodle - 1 UCL DEPARTMENTS OF SCIENCE...

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