Elasticity Flashcards
What is potential energy defined as?
The energy possessed by a body by virtue of its state or position.
Do stretched or compressed springs possess potential energy?
Yes.
Why do stretched or compressed springs possess potential energy?
Because they are potentially able to do work.
What is the ability of the stretched or compressed elastic material to do work called?
Elastic potential energy.
What is elastic potential energy?
Energy stored in the material as a result of its stretched or compressed state.
Give the formula for elastic potential energy.
W = 1/2 * F * e = 1/2 * k * e².
What happens when you stretch the rubber of a catapult and project a stone?
The elastic potential energy is transformed into the kinetic energy of the flying stone.
What law governs the energy transformation in a catapult?
The law of conservation of energy.
What is an example of stored energy due to compression?
Wound springs in clocks and toys.
Why are many clocks and toys able to work?
Stored energy in wound springs.
A spring is stretched 40 mm by a force of 15 N. What is the work done by the force?
0.3J.
What is considered in discussing work done in springs and elastic strings?
A spring or rubber whose unstretched length is l.
What causes a displacement or extension of the spring by e?
A maximum force F.
Where has the force in the wire increased from and to?
From zero at P in the unstretched position to F at P’.
What is done by F in stretching the spring through the displacement or extension?
Work.
How is the work (W) done given?
By the product of the average force and the displacement or extension.
Give the formula for average force.
Average force = (initial force + final force) / 2.
Give the formula for work done.
W = 1/2 * F * e.
If F = ke what is another formula for work done?
W = 1/2 * k * e².
What happens to the work done in stretching an elastic material?
It is stored as potential energy in the material.
When can the stored potential energy do work?
When the stretching force is removed and the material regains its normal length.
Is work done when an elastic string is compressed through a distance e by a force F?
Yes.
Give the formula for work done in compressing the material.
W = 1/2 * F * e = 1/2 * k * e².
If a wire of length / is extended through e by a force F what is tensile stress?
F/A.