1.5.1a Forces, resultant force and motion

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Question 29

An experiment is carried out to determine the spring constant $k\,$ of a spring.

A student determines the length of the unstretched spring, $l_0$ , by using a vertical metre rule. The scale reading at the top of the coil is 10.5 cm and at the bottom of the coil is 15.0 cm.

Calculate $l_0\,$ in millimetres (mm).

[1]

Complete the table below of loads $W\,$ and measured lengths $l\,$ to find the extension $e = l - l_0$ of the spring.

\begin{array}{|c|c|c|} \hline W\text{ / N} & l\text{ / mm} & e\text{ / mm} \\ \hline 0.00 & 45.0 & 0.0 \\ \hline 0.50 & 58.0 & \text{---} \\ \hline 1.00 & 71.0 & \text{---} \\ \hline 1.50 & 84.0 & \text{---} \\ \hline 2.00 & 97.0 & \text{---} \\ \hline 2.50 & 110.0 & \text{---} \\ \hline \end{array}

[2]

A graph of load $W$ (on the $y$ -axis) against extension $e$ (on the $x$ -axis) is plotted. Since the connection is linear, determine the gradient $G\,$ of this line using the coordinates $(0.0, 0.0)$ and $(65.0, 2.50)$ . Show your working clearly.

[2]

The gradient $G\,$ is numerically equal to the spring constant $k$ . Write down the value for $k\,$ to a suitable number of significant figures (2 or 3) with its unit.

[2]

1.5.1a Forces, resultant force and motion

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53

Question 29

An experiment is carried out to determine the spring constant $k\,$ of a spring.

A student determines the length of the unstretched spring, $l_0$ , by using a vertical metre rule. The scale reading at the top of the coil is 10.5 cm and at the bottom of the coil is 15.0 cm.

Calculate $l_0\,$ in millimetres (mm).

[1]

Complete the table below of loads $W\,$ and measured lengths $l\,$ to find the extension $e = l - l_0$ of the spring.

\begin{array}{|c|c|c|} \hline W\text{ / N} & l\text{ / mm} & e\text{ / mm} \\ \hline 0.00 & 45.0 & 0.0 \\ \hline 0.50 & 58.0 & \text{---} \\ \hline 1.00 & 71.0 & \text{---} \\ \hline 1.50 & 84.0 & \text{---} \\ \hline 2.00 & 97.0 & \text{---} \\ \hline 2.50 & 110.0 & \text{---} \\ \hline \end{array}

[2]

The gradient $G\,$ is numerically equal to the spring constant $k$ . Write down the value for $k\,$ to a suitable number of significant figures (2 or 3) with its unit.

[2]

1.5.1a Forces, resultant force and motion

Question 29

Markscheme

1.5.1a Forces, resultant force and motion

Question 29

Markscheme

1.5.1a Forces, resultant force and motion

Question 29

1.5.1a Forces, resultant force and motion Questions

1.5.1a Forces, resultant force and motion

Question 29

1.5.1a Forces, resultant force and motion Questions