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# ex3 - EXPERIMENT 3 Analysis of a freely falling body...

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1 EXPERIMENT 3 Analysis of a freely falling body Dependence of speed and position on time Objectives to verify how the distance of a freely-falling body varies with time to investigate whether the velocity of a freely-falling body increases linearly with time to calculate a value for g, the acceleration due to gravity Apparatus A Behr Free-Fall Apparatus and Spark Timing System will be used in this experiment. A schematic representation of the apparatus is shown below in Figure 1 and a digital photograph of the apparatus is shown in Figure 2 on the following page. HV Pulser Brass Cylinder Switch Spark Switch HV Wire Paper Spark Tape Electromagnet Figure 1: Schematic of the Behr Free-Fall Apparatus

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2 Figure 2: The Behr Free-Fall Apparatus Theory In this experiment a brass cylinder is dropped and a record of its free fall is made. Before the measurement, the cylinder is suspended at the top of the stand with the help of an electromagnet. When the electromagnet is turned off, the cylinder is released and starts to fall. Simultaneously, the spark timer starts to send evenly-spaced, high-voltage pulses through two wires which are stretched along the cylinder’s path.
3 At the time of each pulse a spark goes through the wires and the cylinder, leaving a mark on the special paper tape that lies between the cylinder and one of the wires. The time interval between two adjacent sparks, τ , is 1/60 of a second. Measuring the distances between any two marks, Δ y , and knowing the times between the corresponding sparks, Δ t, it is possible to calculate the average velocity during this interval using the formula t y v Δ Δ = (1) If Δ t is small enough, we can assume that the velocity at any instant within this interval is approximately equal to this average velocity. In the case where acceleration is constant , the instantaneous velocity at the middle of the time interval Δ t is exactly equally to the average velocity of the object during the time interval Δ t. In general, for the motion of a body with a constant

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ex3 - EXPERIMENT 3 Analysis of a freely falling body...

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