Fsp N T m2g Fg = m1g T
Ethan Martinez [e-mail] Hookes law lab
Personal statement- I liked the use of the springs they were surprisingly stretchy w hich was interesting. I found i t difficult to how to be cancel gravity from the calculations.
A bstract- This investigation will t ry to find the spring constant for a spring with only a cart, t rack, ruler, string, masses, i ron stand, and table. By using the string t he tension on the cart can be used to find the spring constant by changing the mass of the masses. Hookes law will allow for the calculation of the spring constant. I n troduction- I f a weight, W = mg, is hung from one end of an ordinary spring, causing
i t to stretch a distance x, then an equal and opposite force, F, is created in the spring w hich acts to oppose the pull of the weight. If W i s not so large as to permanently d istort the spring, then this force, F, w ill restore the spring to its original length after t he load is removed. F is thus called an elastic force and it is well known that the magnitude of an elastic restoring force is directly proportional to the stretch. This is a lso usable when placed on an angle and the mass placed over the ramp.
P rocedure-
1. Gather materials(cart, t rack, ruler, pulley, string, masses, i ron stand,
and spring)
2. up Set the t rack on an incline and the string attached to the cart and
t he masses
3. Attach the spring to the cart and record the original distance 4. Add to the masses to get 50, 100, 150, 200, 250, 300, 350 grams and
record the change in the distance of the cart Analysis: Original Length of the spring = L 0 = 10.8 cm Displacement = s
The mass of the cart stay constant th roughout the experiment so, does not matter in t his lab. Free body diagram:
Newtons second law:
We can ignore F =m g because the mass of the cart stays constant.
g
1
As we can see through free body diagram, and Newtons Second Law, Force of spring
is equal to the tension, which also equal to the m g.
2
Table 2 Mass (kg) 0.000 0.050 0.100 0.150 0.200 0.250 0.300 F sp ( N) 0.000 0.490 0.980 1.470 1.960 2.450 2.940
0.350
3.430
The Force of spring can be calculated th rough mult iplying mass with g (9.8m/s ). T he restoring force is proportional to the displacement
2
So, the s is x-axis, and the force of spring is y-axis.
The slope, which is spring constant (k) is 4.4069N/m. Spr ing constant (k) = 4.4069N/m
Conclusion- The experimental value calculated was 4.4069 N/m. Some sources of error are t he parallax from the measurement of the change in the distance of the cart after a new weight has been added.