An experiment is carried out to find the acceleration of free fall.A strip of paper is attached to a heavy object. The object is dropped and falls to the ground, pullingthe paper strip through a timer. The timer marks dots on the paper strip at intervals of 0.020 s.Fig. 1.1 shows a section of the paper strip with the first three dots marked. The first dot on thepaper strip, labelled A, is marked at the instant the object is dropped.0.0076 mpaper stripA 0.0019 mFig. 1.1 (not to scale)(a) State how the dots on the paper strip show that the object is accelerating............................................................................................................................... ................................................................................................................................................... .................[1](b) Calculate the average speed of the object(i) in the first 0.020 s after the object is dropped,average speed = .............................................................(ii) in the second 0.020 s after the object is dropped.average speed = .............................................................[3](c) Use the results from (b) to calculate the acceleration of the falling object.acceleration = .........................................................[3][Total: 7]Save My Exams! – The Home of RevisionFor more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk/3
Question
An experiment is carried out to find the acceleration of free fall.A strip of paper is attached to a heavy object. The object is dropped and falls to the ground, pullingthe paper strip through a timer. The timer marks dots on the paper strip at intervals of 0.020 s.Fig. 1.1 shows a section of the paper strip with the first three dots marked. The first dot on thepaper strip, labelled A, is marked at the instant the object is dropped.0.0076 mpaper stripA 0.0019 mFig. 1.1 (not to scale)(a) State how the dots on the paper strip show that the object is accelerating............................................................................................................................... ................................................................................................................................................... .................1 Calculate the average speed of the object(i) in the first 0.020 s after the object is dropped,average speed = .............................................................(ii) in the second 0.020 s after the object is dropped.average speed = .............................................................3 Use the results from (b) to calculate the acceleration of the falling object.acceleration = .........................................................[3][Total: 7]Save My Exams! – The Home of RevisionFor more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk/3
Solution
(a) The dots on the paper strip show that the object is accelerating because the distance between the dots is increasing. This means that the object is covering more distance in the same amount of time, which indicates acceleration.
(b) (i) The average speed of the object in the first 0.020 s after the object is dropped can be calculated using the formula speed = distance/time. The distance covered is 0.0019 m and the time is 0.020 s. So, the average speed = 0.0019 m / 0.020 s = 0.095 m/s.
(ii) The distance covered in the second 0.020 s is the difference between the second and first distances, which is 0.0076 m - 0.0019 m = 0.0057 m. So, the average speed in the second 0.020 s = 0.0057 m / 0.020 s = 0.285 m/s.
(c) The acceleration of the falling object can be calculated using the formula acceleration = change in speed / time. The change in speed is the difference between the second and first speeds, which is 0.285 m/s - 0.095 m/s = 0.19 m/s. The time is 0.020 s. So, the acceleration = 0.19 m/s / 0.020 s = 9.5 m/s².
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