Name: Alya AlNaimi
ID: 200901390
Section: 211
Report 2
Hookes Law
Objective:
To find the spring constant (k) by studying the relation between the force applied on a spring and
the distance by which the string is stretched (X) and hence prove hookes law
Apparatus required:
123456-
A long rod with an attached hanger and a sturdy base
A spring scale
Slotted masses
A 50cm ruler
A mass hanger
A spring
Theory:
When a weight is hung on a spring, gravitational force acts on it. The stretch is directly
proportional to the applied force. This relationship is called hookes law. Therefore,
F= k.
x , where
F is the force being used to stretch the spring
K is the spring constant
x is the distance by which the spring is stretched from its original position
Observation:
Serial #
12345-
Force on the
spring (N)
1.96
.98
.49
.196
.294
L0 (m)
L1 (m)
L0-L1
K=f/x2-x1
.111
.111
.111
.111
.111
.261
.178
.137
.117
.123
.15
.067
.026
.006
.012
13.067
14.63
18.46
32.67
24.5
The average value of k = (13.067+14.63+18.46+32.67+24.5) / 5 = 20.67
Graphical calculations:
Slope = (y2-y1)/(x2-x1) = k = 14.7 n/m
Result:
The value of the spring constant k by using the formula of Hookes law = 20.67
PROCEDURE
1)
Hang the spring on to the spring scale and by placing a ruler next to it, find the distance
to which the spring reaches and take this distance as L0.
2)
Next, hang the mass hanger on to the spring and add the slotted masses on to the hanger.
3)
The spring will stretch due to the weight of the masses and the hanger. Note down the
distance to which it stretches. Take this distance as L1.
4)
Find the increase in the distance of the spring by using Δx = L0 - L1.
5)
Also, find the force on the spring from the spring scale.
6)
Take the readings for F and x for different masses at least 6 times by repeating steps 1
through 5.
7)
Calculate k using the formula for Hooke’s Law.
8)
Also show the graphical relation between F and x and calculate the slope.