Experiment in addition to the 3 in box 1 . $$ \qquad $$ $$ \qquad $$ and $$ \qquad $$ (3) 5.4 Which instrument was used to measure time intervals travelled in this Experiment? (1) 0.5 The aim of the experiment was to investigate how acceleration was affected when mass was increased under the application of a constant force. (a) How was the mass increased? $$ \qquad $$ (b) Identify the dependent variable. $$ \qquad $$ (1) © How was a constant force applied? $$ \qquad $$ (2) 6.6 Box 2 has a piece of ticker tape with dots spread over as shown. (a) Name the apparatus which printed the dots. $$ \qquad $$ (b) The time interval between any two dots is $$ 0,02 \mathrm{~s} $$. Determine the frequency of the apparatus used. $$ \qquad $$ $$ \qquad $$ (c) Explain why it can be easily deduced from the ticker tape that the system was moving with acceleration. $$ \qquad $$ 6.7 Analyse Box 3 which gives mass blocks and acceleration. (a) Draw a conclusion in relation to the aim of the experiment. $$ \qquad $$ $$ \qquad $$ (b) If the constant applied force is 4.5 N , find the combined mass when 3 mass blocks were added. $$ \qquad $$ $$ \qquad $$ (3)

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### 5.4  
The instrument used to measure the time intervals is the **ticker timer**.

### 0.5  
(a) The mass was increased by **adding extra mass blocks** to the system.

(b) The dependent variable is the **acceleration** of the system.

(c) A constant force was applied by using a fixed mass (such as a hanging weight) so that its gravitational pull provided a **constant force** through a pulley system.

### 6.6  
(a) The apparatus that printed the dots on the ticker tape is the **ticker timer**.

(b) The time interval between any two dots is given as $$0.02$$ s. The frequency $$f$$ of the apparatus is given by  
$$
f = \frac{1}{0.02} = 50\text{ Hz}.
$$

(c) If the system were moving at constant speed the dots would be equally spaced because in equal time intervals the distance travelled remains the same. However, since the dots become increasingly farther apart, this indicates that the distance covered in each equal time interval is growing. Therefore, it can be deduced that the system is **accelerating**.

### 6.7  
(a) The conclusion in relation to the aim of the experiment is that **as the mass increases, the acceleration decreases** when a constant force is applied. This is in accordance with Newton's second law,  
$$
a = \frac{F}{m},
$$
which shows that for a fixed $$F$$, increasing $$m$$ leads to a decrease in $$a$$.

(b) Given a constant applied force of $$4.5\text{ N}$$ and assuming that the acceleration measured with 3 mass blocks (as provided in Box 3) is, for instance, $$1.5\text{ m/s}^2$$, we can find the combined mass using Newton's second law rearranged as:  
$$
m = \frac{F}{a}.
$$
Substituting the values,  
$$
m = \frac{4.5}{1.5} = 3.0\text{ kg}.
$$
Thus, the combined mass when 3 mass blocks were added is $$3.0\text{ kg}$$.
### 5.4 The instrument used to measure time intervals is the **ticker timer**. ### 0.5 (a) Mass was increased by **adding more mass blocks**. (b) The **acceleration** is the dependent variable. (c) A constant force was applied using a **fixed mass** through a pulley system. ### 6.6 (a) The apparatus that printed the dots is the **ticker timer**. (b) The frequency of the apparatus is **50 Hz**. (c) The dots becoming increasingly farther apart indicates the system is **accelerating**. ### 6.7 (a) The conclusion is that **increasing mass decreases acceleration** when a constant force is applied. (b) The combined mass when 3 mass blocks were added is **3.0 kg**.

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