# G484. PHYSICS A The Newtonian World ADVANCED GCE. Monday 27 June 2011 Morning. Duration: 1 hour

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2 2 Answer all the questions. 1 (a) State Newton s first law of motion. Define the newton. (b) A jet plane on the deck of an aircraft carrier is accelerated before take-off using a catapult. The mass of the plane is kg and it is accelerated from rest to a velocity of 55 m s 1 in a time of 2.2 s. Calculate the mean acceleration of the plane mean acceleration =... m s 2 [2] the distance over which the acceleration takes place distance =... m [2] (iii) the mean force producing the acceleration. mean force =...N [1]

3 3 (c) The jet plane describes a horizontal circle of radius 870 m flying at a constant speed of 120 m s 1. State the direction of the resultant horizontal force acting on the plane. Calculate the magnitude of this horizontal force. force =...N [2] (d) By changing the velocity of the plane it can be made to fly in a vertical circle of radius 1500 m. At a particular point in the vertical circle, the contact force between the pilot and his seat may be zero and the pilot experiences weightlessness. State and explain at what point in the circle this weightlessness may occur.... [2] Calculate the speed of the plane at which weightlessness occurs. speed =... m s 1 [2] [Total: 14] Turn over

4 4 2 (a) Fig. 2.1 shows a mass attached to the end of a spring. The mass is pulled down and then released. The mass performs vertical simple harmonic motion. fixed end of spring spring mass Fig. 2.1 Define simple harmonic motion.... [2] Mark the following statements about the oscillating mass-spring system as true or false. [2] statement The period of oscillation is constant. The net force on the mass is equal to its weight. The acceleration of the mass is a maximum at the mid-point of the oscillations. The velocity of the mass is proportional to the displacement. true/false

5 5 (b) A student wishes to investigate whether the period of oscillation of a simple pendulum is constant for all angles of swing. Describe how the student should carry out the investigation. Include the following in your description: a sketch of the apparatus with angle of swing labelled details of how the measurements would be made how these results would be used to form a conclusion the major difficulty likely to be encountered and how this might be overcome. Sketch: [5] [Total: 9] Turn over

6 3 (a) Define gravitational field strength [1] (b) The table shows, in modern units, information that was known to physicists at the time of Isaac Newton. position distance r from centre of the Earth / km surface of Earth Moon s orbit Use the information provided in the table to gravitational field strength g due to the Earth / N kg 1 state a relationship between the gravitational field strength g and the distance r and verify this relationship... [3] show that the mass of the Earth is about kg [2] (iii) determine the mean density of the Earth. density =... kg m 3 [2] [Total: 8]

7 4 (a) In your answer you should use appropriate technical terms spelled correctly. State the terms used to describe the thermal energy required to change 7 a solid into a liquid at a constant temperature a liquid into a gas at a constant temperature. (b) Most households waste energy by overfilling electric kettles. Assume that, on average, 0.80 kg of water per household per day is unnecessarily boiled. Estimate the energy required when 0.80 kg of water, initially at 18 C, is heated in an electric kettle. The kettle switches off automatically when the water is boiling steadily at 100 C. The specific heat capacity of water is 4200 J kg 1 K 1. heat energy =... J [2] State and explain two different reasons why the actual quantity of energy required to warm the water to 100 C is greater than the estimate in [2] (iii) Calculate, in kw h, the average annual energy wasted per household by boiling too much water. energy =...kw h [2] [Total: 8] Turn over

8 8 5 (a) One assumption required for the development of the kinetic model of a gas is that molecules undergo perfectly elastic collisions with the walls of their containing vessel and with each other. Explain what is meant by a perfectly elastic collision. State three other assumptions of the kinetic theory of gases [3] (b) Fig. 5.1 shows a cubical box of side length 0.20 m. The box contains one molecule of mass kg moving with a constant speed of 500 m s 1. The molecule collides elastically at right angles with the opposite faces X and Y of the box. Y X molecule Fig. 5.1 Calculate the change of momentum each time the molecule collides with face X. change of momentum =...kg m s 1 [2]

9 Calculate the number of collisions made by the molecule with face X in 1.0 s. 9 (iii) Calculate the mean force exerted on the molecule by face X. number =... [1] force =...N [2] (iv) Hence state the force exerted on face X by the molecule. Justify your answer. (c) The single molecule in the box in (b) is replaced by 3 moles of air at atmospheric pressure. Calculate the number of air molecules in the box. number =... [1] Suggest why the pressure exerted by the air on each of the six faces of the box is the same. (iii) The temperature of the air inside the box is increased. Explain in terms of the motion of the air molecules how the pressure exerted by the air will change.... [2] [Total: 14] Turn over

10 10 6 (a) A container has 1 mole of an ideal gas. The volume of the container is V cubic metres (m 3 ) and the gas exerts pressure p pascal (Pa). On Fig. 6.1, show the relationship between the product pv and the absolute temperature T of the gas. [1] pv / Pa m T / K Fig. 6.1 State the value of the gradient of this graph. (b) The volume of 1.5 moles of an ideal gas at 40 C is m 3. The gas is now heated at constant pressure p. Calculate the new volume of the gas at a temperature of 250 C the value of the pressure p. volume =...m 3 [3] p =... Pa [2] END OF QUESTION PAPER [Total: 7]

11 11 ADDITIONAL PAGE If additional space is required, you should use the lined pages below. The question number(s) must be clearly shown.

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