In 1-2 sentences explain how you would determine the constant k for a spring.
1 answer:
To perform an experiment to determine the force constant of a spring, you will need a stand with a boss and clamp, a spiral spring, a meter rule and different weights.
The setup is arranged as shown in the image attached. The natural length of the spring is first recorded. Different weights are added to the spring one after the other and the extension is recorded.
The weight is now plotted on the vertical axis and the extension is plotted on the horizontal axis. The slope of the graph is the force constant of the spring.
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Both the total momentum and the total kinetic energy are conserved
Explanation:
- In a collision between two or more objects, if there are no external forces acting on the system (isolated system), the total momentum of the objects is always conserved. This is called principle of conservation of momentum, and can be written as follows:
where
m, M are the masses of the two objects
u, U are the initial velocities of the two objects
v, V are the final velocities of the two objects
- The total kinetic energy, however, is not always conserved. In fact, we have two types of collision:
1) In a perfectly elastic collision, the total kinetic energy of the objects is conserved. This means that we can write the following equation:
2) In an inelastic collision, the total kinetic energy of the object is NOT conserved. This means that part of the total kinetic energy is "lost", converted into other forms of energy (mainly thermal energy, due to the presence of frictional forces within the system). The most extreme case is called perfectly inelastic collision, in which the two objects stick together after the collision, and there is the maximum loss of kinetic energy.
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