Beatty Planning Exercise 1 and 2

Planning Exercise 1 1 In this experiment, you will investigate the motion of a mass suspended from a spring and then plan an experiment to determine the spring constant of the spring. You have been provided with • a spring, • a 50 g mass hanger and three 100 g slotted mass, • a stopwatch, • a pin in a cork, • a retort stand with two clamps. Set up the apparatus as shown in Fig. 1.1, with a total mass of 350 g suspended from the spring. Fig. 1.1

Adjust the lower clamp so that the pin marks the position of the bottom of the mass hanger when the mass is stationary. When the mass is pulled downwards a small distance and released, it vibrates up and down. One complete vibration is from the position of the pin, up to the highest position, down to the lowest position and back up to the position of the pin, as shown in Fig. 1.2. Fig. 1.2 (a) (i) The time for 20 complete vibrations is t. Take measurements to determine an accurate average value of t. t = …………………….. [2] (ii) Calculate the time T for one vibration. T = …………………….. [1] (iii) Calculate T2. T2 = …………………….. [1] (iv) Calculate the spring constant k of the spring using the equation below where m is the total mass of the load in kg. 𝑘 = 4𝜋2𝑚 𝑇2 k = …………………….. [1]

(b) Plan The equation in (a)(iv) may be rewritten in the form below. 𝑇2 = 4𝜋2𝑚 𝑘 Using the same apparatus in part (a), plan an experiment to determine a more accurate value of k. Your plan should include • a list of quantities that remain constant, • a description of how you would perform the experiment, • a statement of the graph that you would plot, • an explanation of how to determine k from the graph. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….…………………. …………………………………………………………………………….….………………….

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Planning exercise 2 In this experiment, you will make measurements on a stand in order to investigate the stability of the stand. You will then plan