Exercise of Elasticity1.The original length of a spring is 10 cm. With a load of mass 300g, the length of the spring is extended to 16 cm.(a)What is the length of the spring with a load of 400 g?(b)What load is required to extend the spring to 19 cm.

2.A 30 cm spring is compressed to 25 cm when a load of 300 g is placed on it. What additional load is required to compress the spring to 22 cm?

3.A spring of length 20 cm is extended to 26 cm when pulled by a force of 10N. What is the length of the spring when it is compressed by a force of 20 N?

4.Figure below shows two positions of a pin when a spring is loaded with two different weights.

What is the reading of the pin when the spring is without load?

5.The figure shows a spring which is compressed.

Calculate the value of m if the original length of the spring is 15 cm.6.The figure shows the pointer reading of a spring. When an addition load of 200 g is placed in the pan, the pointer reads 25 cm.What is the reading of the pointer when the total load is removed.

7.Figure shows a series arrangement of three identical springs. The original length of each spring is 16 cm.With a load of 200 g, the length of each spring becomes 20 cm. What is the length p of the system shown in the figure.

8.M and N are two non-identical springs each measuring 12 cm. When subjected to loading, their respective lengths are as shown in the figure.

What is the length y of the spring system if M and N are arranged in series and the load applied is 600 g.

9.Figure (a) shoes two springs arranged in parallel, each of length 9 cm, subjected to a load of 600 g.What is the length of the spring system in Figure (b)?All the spring are identical.

10.Figure show s a system of 6 identical springs. The original length of each spring is 12 cm. When a load of 200 g is added, the length of each spring extends to 15 cm.What is the length y of the system?

11.The figures shows a spring system comprising identical springs.Each spring is of length 18 cm and extends to 22 cm when subjected to a load of 200 g. What is the length of the spring system in the figure?

13.Figure (a) shows a spring of length 20 cm compressed to a length of 15 cm by a load of 250 g.

What is the value of m in Figure (b) if three identical springs are compressed to a length of 12 cm?

14.The figure is a graph of extension, x against load, m for a spring.

(a)What is the value of the force constant, K?(b)What is the value of a?(c)What is the potential energy stored when the spring is extended by a cm?

15.The figure shows a sphere of mass 20 g pushed against one end of a spring on a smooth surface. The original length of the spring is 18 cm and its force constant is 12.5 Nm-1.

Structured Question

Diagram shows two blocks, P and Q, of masses 2m and 3m respectively tied with a string. The spring which is attached to block P is compressed to 12 cm.

(a) The force constant, k, for the spring is 5000Nm-1.[1 mark](b)Given the original length of the spring is 20 cm, find the elastic potential energy stored in the spring. [2 marks](c) The string is burnt and P and Q are pushed apart from each other. (i) Name the principle of physics in this motion.

(ii) If Q moves at a speed of 6 ms-1, determine the speed of P,(iii)Determine the value of m

Essay Question

(a) What is meant by force constant of a spring? [1 mark](b) Diagram shows an increasing force applied to the right against two springs.

Draw a force-distance graph to show the force varies with the distance moved. The force starts from zero and increases as it moves to the right. [2 marks]Explain the shape of your graph. [2 marks]

(c) Mr Arsenal applies a stretching force of 380 N to pull a chest expander (consists of 2 springs) from 30 cm to 40 cm.

(i) Find the force constant of each spring.(ii) What is the stretching force needed to pull another chest expander of three springs [identical to springs in (i)] to 52 cm?

(d) Table 1 shows 4 toy pistols with different specifications. You are required to determine the most suitable toy pistol that can shoot the dart the furthest.

Study the specifications of all four toy pistols from the following aspects. The force constant of the spring, k The density of the plastic dart Compression of the spring The body of the dartExplain the suitability of each aspect and determine the most suitable toy pistol.Justify your choice.[10 marks]