You measure the elongation of springs placed on a graduated inclined plane, to which you attach masses. One end of the spring is attached to a hook at the top of the inclined plane and the other end is attached to a mass. The spring is parallel to the plane, and the force it exerts on the mass is also parallel to the plane. The angle of inclination of the plane is known, as well as its uncertainty. There is no friction between the plane and the mass. The natural length of the spring and its uncertainty are known. By hooking a known mass (m ± delta m), you measure that the spring now has a length (L ± delta L). We use the value g=(9.81 ± 0.01)m/s^2 for our calculations. Build a model to find the spring constant of the spring (with its uncertainty) given the known parameters. Then test your
You measure the elongation of springs placed on a graduated inclined plane, to which you attach masses.
One end of the spring is attached to a hook at the top of the inclined plane and the other end is attached to a mass.
The spring is parallel to the plane, and the force it exerts on the mass is also parallel to the plane.
The angle of inclination of the plane is known, as well as its uncertainty.
There is no friction between the plane and the mass.
The natural length of the spring and its uncertainty are known.
By hooking a known mass (m ± delta m), you measure that the spring now has a length (L ± delta L).
We use the value g=(9.81 ± 0.01)m/s^2 for our calculations.
Build a model to find the spring constant of the spring (with its uncertainty) given the known parameters. Then test your model with the following values:
Plane tilt angle: (11.4 ± 0.2) degrees
Natural spring length: (0.145 ± 0.001) m
Attached mass: (0.15 ± 0.001) kg
Spring length with a mass attached: (0.17 ± 0.002) m
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