Revision Session [DEFORMATION & HOOKE’S LAW]
1. The graph shows the extension of a piece of copper wire 4. A steel spring is stretched by a load. The load is
as the load on it is increased. increased. At first the extension is proportional to the
load. The spring reaches its limit of proportionality at L.
Which is the correct graph of the extension against load
for the spring?
What does the graph show?
A. At certain load the wire becomes easier to extend.
B. At certain load the wire becomes harder to extend.
C. The load and extension are directly proportional
D. The load and extension are inversely proportional
2. An extension-load graph for a wire is shown.
5. A metal wire, initially 1.000 m long, extends by 4 mm
when a load of 2 N is added to it. What will the length of
the wire be if a further 3 N is added, assuming it does
not extend beyond its limit of proportionality?
A 1.060 m B 1.080 m C 1.010 m D 1.012 m
6. Which part of the graph shows the limit of proportionality
for an elastic solid?
What is the load at the limit of proportionality?
A. 4 N B 15 N C 60 N D 70 N
3. A single spring is loaded with a 1 N weight. The load is
then increased to 2 N and the extension increases by
1.0 cm, as shown.
A O B OP CP D PQ
7. The table shows how the extension of a spring varies
with load.
Two springs that are identical to the first one is put side by
side. They are connected at both ends, and a 1 N weight is
hung on them. The load is then increased to 2 N.
Between which two loads would you find the limit of
proportionality?
A 0 N and 2 N B 8 N and 10 N
C 10 N and 12 N D 14 N and 16 N
8. A spring extends by 4cm when 10 N is suspended from
it. Two of these springs are used as shown to carry a 30
What is the new increase ‘x’ in the extension? N load.
A 0.5 cm B 1.0 cm C 2.0 cm D 3.0 cm
Revision Session [DEFORMATION & HOOKE’S LAW]
(ii) The gravitational field strength is 10N/kg. Calculate the
size of each of the two forces acting on the mass.
first force = ...........................
second force............................ [2]
What is the extension of each spring?
A 4 cm B 6 cm C 8 cm D 12 cm
(c) The mass is pulled downwards. State and explain what
happen to the upward force.
9. An extension-load graph is plotted to show the result of
increasing the load on a spring. Which point marks the
...............................................................................................
limit of proportionality for this spring?
...............................................................................................
.......................................................................................... [2]
Q3: The apparatus shown in Fig. 3.1 is used to measure
the extension of a spring.
10. Load L is suspended from two springs that are in
parallel. The extension of each spring is ‘X’
(a) Explain how the mass causes a force on the
The springs are then arranged to hang vertically, one spring.
below the other. ..............................................................................................
..............................................................................................
........................................................................................ [1]
(b) The force on the spring is a vector quantity. State what
is meant by a vector quantity.
In this new arrangement, what is the total extension of ..............................................................................................
the two springs? ..............................................................................................
A 1/2X B X C 2X D 4X ........................................................................................ [1]
(c) Fig. 3.2 shows a graph of the length of the spring
Q2: Fig.2.1. shows a 0.4kg mass hanging at rest from a plotted against the force on the spring, for forces
spring. between 0 and 10 N.
(a) State what is meant by the mass of an object.
...............................................................................................
............ ………………………………………………………. [1]
(b) (i) On Fig.2.1, draw an arrow showing the direction
and the line of action for each of the two forces that
act on the mass. Write the name of the force next
to each arrow. [2]
Revision Session [DEFORMATION & HOOKE’S LAW]
(i) State a formula that relates the unstretched length lo of
the spring, the stretched length l of the spring and the
extension e of the spring.
...............................................................................................
......................................................................................... [1]
(ii) A mass produces a force of 9.0 N on the spring. Deter
mine the extension of the spring caused by this mass.
extension = ...................[1]
(iii) The limit of proportionality of the spring is reached
when the force is 10 N. The spring is easier to stretch
after the limit of proportionality. On Fig. 3.2, continue
the line to suggest how the length changes when the
force is greater than 10 N. [1]
