Physics Topic 1 Test Time: 1 hour 30 minutes Marks: 100 Part 1 - Multiple Choice Questions Each question in this section is worth 1 marks. Circle the correct choice for each questions. 1. An experiment is carried out to measure the extension of a rubber band for di erent loads. The results are shown below. Which gure is missing from the table? A 17.2 B 17.3 C 17.4 2. D 17.6 Four objects are each acted on by only two forces, as shown. Which object is in equilibrium? 3. A student wishes to nd the volume of a small, irregularly-shaped stone. ff fi fi A ruler and a measuring cylinder containing some water are available. Which apparatus is needed? A neither the ruler nor the measuring cylinder B the measuring cylinder only C the ruler and the measuring cylinder D the ruler only 4. The diagram shows a ball hanging on a string. The ball swings from point W to point Z and back to point W. Which statement about the ball is correct? A The kinetic energy of the ball is greatest at point W. B The kinetic energy of the ball is greatest at point X. C The kinetic energy of the ball is greatest at point Y. D The kinetic energy of the ball is the same at all points of the swing. 5. A student wishes to measure accurately the volume of approximately 40 cm3 of water. She has two measuring cylinders, a larger one that can hold 100cm3 , and a smaller one that can hold 50cm3 . The water forms a meniscus where it touches the glass. Which cylinder should the student use and which water level should she use to ensure an accurate result? 6. The diameter of a copper wire is thought to be approximately 0.3mm. Which instrument should be used to obtain a more accurate measurement of the diameter of the wire? A measuring tape B metre rule C micrometer D ruler 7. A train begins a journey from a station and travels 60 km in a time of 20 minutes. What is the average speed of the train? A 3.0m/s 8. B 5.0m/s C 50m/s Two runners take part in a race. The graph shows how the speed of each runner changes with time. What does the graph show about the runners at time t? A B C D 9. Both runners are moving at the same speed. Runner 1 has zero acceleration. Runner 1 is overtaking runner 2. Runner 2 is slowing down. A car moves with constant speed and then constant acceleration. Which graph is the speed-time graph for the car? D 60m/s 10. A tennis player hits a ball hard and 0.40 s later hears the echo from a wall. The speed of sound in air is 330m/s. How far away is the player from the wall? A 66m B 132m C 264m D 825m 11. The diagram shows the distance-time graph for a car. At which labelled point is the car moving with constant speed? 12. In a race, a car travels 60 times around a 3.6 km track. This takes 2.4 hours. What is the average speed of the car? A 1.5km/h 13. B 90km/h C 144km/h The mass of a piece of metal is 1200 g. A measuring cylinder contains 150 cm3 of water. The piece of metal is put into the measuring cylinder. The water level rises to 250 cm3 and covers the metal. What is the density of the metal? A 3.0g/cm3 B 4.8g/cm3 C 8.0g/cm3 D 12.0g/cm3 D 216km/h 14. A person measures the length, width, height and mass of a metal block with rectangular sides. Which of these measurements must be used in order to calculate the density of the metal? A mass only B height and mass only C length, width and height only D length, width, height and mass 15. Two blocks of metal X and Y hang from spring balances, as shown in the diagrams. ff ff ff What does the diagram show about X and Y? A They have the same mass and the same volume but di erent weights. B They have the same mass and the same weight but di erent volumes. C They have the same mass, the same volume and the same weight. D They have the same weight and the same volume but di erent masses. 16. The diagram shows an object of weight W and an object of weight Z balanced on a uniform metre rule. Which equation relating to W, Z, a and b is correct? W Z A = a b ×Z= a×b C W×a=Z×b D W × ( a + b) = Z B W 17. The diagrams show four objects A, B, C and D. The centre of mass M of each object is marked on the diagrams. Which object is not in equilibrium? 18. An object of mass 50kg accelerates from a velocity of 2.0m/s to a velocity of 10m/s in the same direction. What is the impulse provided to cause this acceleration? A 250 Ns B 400 Ns C 850 Ns D 2500 Ns 19. A heavy beam rests on two supports. The diagram shows the only three forces F1, F2 and F3 acting on the beam. The beam is in equilibrium. Which statement is correct? A All the forces are equal in size. B The resultant force on the beam is in the opposite direction to the resultant turning e ect. C The resultant force on the beam is zero and the resultant turning e ect on the beam is zero. D The total upward force is twice the total downward force. ff A heavy truck on wheels has a platform attached to it. A man stands on the platform. The truck does not fall over. Which position A, B, C or D could be the centre of mass of the whole system (truck, platform and man)? ff 20. Part 2 - Theory 21. The list below gives the approximate densities of various metals. gold 19 g/cm3 copper 11 g/cm3 iron 9 g/cm3 lead 8 g/cm3 At an antiques market, a collector buys what is advertised as a small ancient gold statue. When the collector tests it in the laboratory, he nds its mass is 600g and its volume is 65cm3. (a) Describe how the volume of the statue could be measured. You may draw diagrams if you wish. [3] (b) Use the gures given above to decide whether the statue was really made of gold. Show your working. [2] (c) Was the statue made of gold? [1] [Total: 6] 22. A scientist needs to nd the density of a sample of rock whilst down a mine. He has only a spring balance, a measuring cylinder, some water and some thread. (a) Draw two labelled diagrams, one to show the spring balance being used and the other to show the measuring cylinder being used with a suitable rock sample. [2] (b) The spring balance is calibrated in newtons. State how the mass of the rock sample may be found from the reading of the spring balance. [1] (c) State the readings that would be taken from the measuring cylinder. [1] (d) State how the volume of the rock would be found from the readings. [1] (e) State in words the formula that would be used to nd the density of the sample. [1] fi fi fi fi [Total: 6] 23. (a) State the two conditions required for the equilibrium of a body acted upon by a number of forces. [2] (b) Figure below shows a diagram of an arm with the hand holding a weight of 120 N. The 20 N force is the weight of the forearm, acting at its centre of mass. F is the force in the muscle of the upper arm. P is the point in the elbow about which the arm pivots. The distances of the forces from point P are shown. (i) By taking moments about point P, calculate the force F. [3] (ii) A force acts on the forearm at point P. Calculate this force and state its direction. [2] [Total: 7] 24. Two students make the statements about acceleration that are given below. Student A: For a given mass the acceleration of an object is proportional to the resultant force applied to the object. Student B: For a given force the acceleration of an object is proportional to the mass of the object. (a) One statement is correct and one is incorrect. Re-write the incorrect statement, making changes so that it is now correct. For a given ..................... the acceleration of an object is …………………… ………………………………………………………………… . [1] (b) State the equation which links acceleration a, resultant force F and mass m. [1] (c) Describe what happens to the motion of a moving object when a resultant force is applied to it in the opposite direction to the motion. [1] [Total: 3] 25. Figure below shows the extension-load graph for a spring. Point P is the limit of proportionality. (a) (i) Name the law obeyed by the spring from the origin to P. [1] (ii) Describe two features of the graph which show that the law is obeyed. [2] [Total: 3] 26. Figure below shows a simple pendulum that swings backwards and forwards between P and Q. (a) The time taken for the pendulum to swing from P to Q is approximately 0.5 s. Describe how you would determine this time as accurately as possible. [2] (b) (i) State the two vertical forces acting on the pendulum bob when it is at position R. [2] [Total: 4] 27. (a) State Hooke’s law. [1] (b) Figure below shows a graph of the stretching force F acting on a spring against the extension x of the spring. (i) State the features of the graph that show that the spring obeys Hooke’s law. [1] (ii) Calculate k, the force per unit extension of the spring. [3] [Total: 5] An engineering machine has a piston which is going up and down approximately 75 times per minute. Describe carefully how a stopwatch may be used to nd accurately the time for one up-and- down cycle of the piston. [Total: 4] fi 28. 29. A bucket is full of oil. The total mass of the bucket of oil is 5.4 kg and the gravitational eld strength is 10N/kg. (a) Calculate the total weight of the bucket of oil. [1] (b) The bucket of oil is hung from a spring of unstretched length 20cm. The limit of proportionality of the spring is not exceeded and its length increases to 35cm. (i) State what is meant by the limit of proportionality. [1] (ii) The oil is poured into a measuring tank. The empty bucket stretches the spring to a length of 25cm. Calculate 1. the force that stretches the spring to a length of 25 cm, [3] 2. the mass of the oil in the measuring tank, [2] [Total: 9] 30. Figure below shows a dummy of mass 70 kg used in a crash test to investigate the safety of a new car. The car approaches a solid barrier at 20 m / s. It crashes into the barrier and stops suddenly. (a) (i) Calculate the momentum of the dummy immediately before the crash. [2] (ii) Determine the impulse that must be applied to the dummy to bring it to rest. [1] (b) In the crash test, the passenger compartment comes to rest in 0.20 s. Calculate the deceleration of the passenger compartment. [2] (c) The seat belt and air bag bring the dummy to rest so that it does not hit the windscreen. The dummy has an average deceleration of 80 m/s2. Calculate the average resultant force applied to the dummy, of mass 70 kg. [2] (d) The deceleration of the dummy is less than the deceleration of the passenger compartment. Explain why this is of bene t for the safety of a passenger. [2] fi fi [Total: 9] 31. (a) Complete the following statement. An object is in equilibrium when both the ........................................................ and the .................................................................. on the object are zero. [2] (b) Figure below shows a ladder AB. End A of the ladder rests against a vertical wall. End B rests on rough ground. Figure above shows two of the forces acting on the ladder. The only force on the ladder at A is F, which acts at right-angles to the wall. The weight of the ladder is 240 N acting at the centre of mass of the ladder. (i) 1. Calculate the moment of the weight of the ladder about point B. 2. Write an expression, in terms of F, for the moment of F about point B. [1] [1] (ii) Use your answer from (i) to calculate F. [2] (iii) Explain why there must be an upwards force acting on the ladder at B. [1] [Total: 7] 32. A metre rule balances when the 50 cm mark is directly above a pivot. (a) State where in the rule its centre of mass is located. [1] (b) Figure below shows an apple and a 0.40N weight placed on the rule so that the rule remains balanced at the 50cm mark. The centre of mass of the apple is 25 cm from the pivot and the centre of mass of the weight is 45cm from the pivot. Calculate (i) the weight of the apple, [1] (ii) the mass of the apple. [1] (c) The apple is not moved. The weight is removed from the rule and the pivot is moved to the left until the rule balances as shown in Figure above. (i) Explain why the arrangement in Figure above balances. [2] (ii) The pivot in the Figure is closer to the 50 cm mark than to the centre of mass of the apple. Compare the weight of the rule to the weight of the apple. [1] [Total: 7] 33. Figure below shows a distance-time graph for a moving object. (a) Describe the speed of the object between points (i) A and B, (ii) B and C. [2] (b) State whether the acceleration of the object is zero, negative or positive, as shown on the graph between points (i) A and B, (ii) B and C. (c) Calculate the average speed of the object during the 40 seconds. [2] [2] [Total: 6] 34. Figure below shows the speed- time graph of a rework rocket as it rises and then falls to the ground. The rocket runs out of fuel at A. It reaches its maximum height at B. At E it returns to the ground. (a) State the gradient of the graph at B. [1] (b) State and explain the relationship between the shaded areas above and below the time axis. [3] fi [Total: 4]