No questions found
(a) (i) Use the modelling clay to attach the slotted masses to the centre of the wooden strip as shown in Fig. 1.1 and Fig. 1.2.
(ii) Measure and record the distance $x$ between the end of the wooden strip with the small string loop attached and the centre of the slotted masses as shown in Fig. 1.1.
$x = \text{.............................}$ [1]
(b) (i) Set up the apparatus as shown in Fig. 1.3.
(ii) Slide the small string loop over the rod of a stand and fix it in place using a clip.
Slide the free loop of the spring down the rod of the other stand and fix it in place using the other clip.
(iii) Adjust the apparatus until the large string loop and springs are parallel to the bench.
(iv) Use G-clamps to secure both stands to the bench.
(c) Move the right-hand end of the wooden strip downwards through a distance of approximately 3 cm. Release the wooden strip.
The wooden strip will oscillate.
Determine the period $T$ of these oscillations.
$T = \text{.............................}$ [1]
(d) Change $x$ by moving the slotted masses along the wooden strip.
For each value of $x$, adjust the position of the clips so that the large string loop and springs are parallel to the bench.
Repeat (a)(ii) and (c) until you have five sets of values of $x$ and $T$.
Include values of $T^2$ in your table.
[10]
(e) (i) Plot a graph of $T^2$ on the $y$-axis against $x$ on the $x$-axis.
[3]
(ii) Draw the straight line of best fit.
[1]
(iii) Determine the gradient and $y$-intercept of this line.
gradient = ..................................................
$y$-intercept = ..................................................
[2]
(f) It is suggested that the quantities $T$ and $x$ are related by the equation
$$T^2 = Px + Q$$
where $P$ and $Q$ are constants.
Using your answers in (e)(iii), determine the values of $P$ and $Q$.
Give appropriate units.
$P = \text{..................................................}$
$Q = \text{..................................................}$
[2]
512
541
595
(a) Measure and record the length $w$ of the shorter side of the wooden board, as shown in Fig. 2.1.
$w = \text{....................................................} \text{m}$ [1]
(b) (i) Set up the wooden board as shown in Fig. 2.2.
The distance between the bottom of the board and the bench should be approximately 15 cm.
(ii) Measure and record the angle $\theta$ as shown in Fig. 2.2.
$\theta = \text{....................................................}$ [1]
(iii) Estimate the percentage uncertainty in your value of $\theta$.
percentage uncertainty = \text{....................................................}$[1]
(c) (i) Place the container on the wooden board as shown in Fig. 2.3.
The container should be aligned with the edges of the board as shown in Fig. 2.3.
(ii) Release the container. The container will follow the path shown in Fig. 2.4.
(iii) Measure and record the distance $y$, as shown in Fig. 2.4.
$y = \text{....................................................}\text{m}$ [2]
(d) (i) Calculate $D$ using $$D = \frac{w^2 + y^2}{w}.$$
$D = \text{....................................................}\text{m}$ [1]
(ii) Justify the number of significant figures that you have given for your value of $D$.
....................................................
....................................................
.................................................... [1]
(e) (i) Increase the angle $\theta$.
(ii) Repeat (b)(ii), (c) and (d)(i).
$\theta = \text{....................................................}$
$y = \text{....................................................}\text{m}$
$D = \text{....................................................}\text{m}$ [3]
(f) It is suggested that the relationship between $D$ and $\theta$ is $$D = k\sin \theta$$ where $k$ is a constant.
(i) Using your data, calculate two values of $k$.
first value of $k = \text{....................................................}$
second value of $k = \text{....................................................}$ [1]
(ii) Explain whether your results in (f)(i) support the suggested relationship.
....................................................
....................................................
.................................................... [1]
(g) (i) Describe four sources of uncertainty or limitations of the procedure for this experiment.
1. ....................................................
....................................................
2. ....................................................
....................................................
3. ....................................................
....................................................
4. ....................................................
.................................................... [4]
(ii) Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.
1. ....................................................
....................................................
2. ....................................................
....................................................
3. ....................................................
....................................................
4. ....................................................
.................................................... [4]
542
500
568
