Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.
How do you calculate potential E?
For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.
What is K in Epe formula?
k is the spring constant. It is a proportionality constant that describes the relationship between the strain (deformation) in the spring and the force that causes it.
What is Hooke’s Law and Young’s modulus?
Hooke’s law is a fondamental rule of thumb applied on skin that describes a direct proportionality link between the force applied on an object and the induced strain. Young’s Modulus is a constant coefficient stiffness*, named k, which describes how stiff is the skin or how likely it is to deform.
What is elastic force in physics?
Elastic Force The force that allows some materials to return to its original shape after being stretched or compressed.
How do you find the E anode and cathode?
Where can I find Ecell?
What is E cathode?
E∘cell=−E∘oxidation+E∘reduction. The cathode is actually the reduction step, and the anode is the oxidation step. A useful mnemonic I learned from my chemistry professor is a red cat and an ox. Interestingly, cathodes are red and are positive.
What is K in Hooke’s Law?
K represents the constant of proportionality, also known as the ‘spring constant. ‘ In layman’s terms, the k variable in Hooke’s law (F = -kx) indicates stiffness and strength. The higher the value of k, the more force is needed to stretch an object to a given length.
What is K spring constant?
The spring constant, k, is a measure of the stiffness of the spring. It is different for different springs and materials. The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.
What is K in electric potential energy?
The Coulomb constant, the electric force constant, or the electrostatic constant (denoted ke, k or K) is a proportionality constant in electrostatics equations. In SI base units it is equal to 8.9875517923(14)×109 kg⋅m3⋅s−4⋅A−2.
What is the formula of spring work?
Hooke’s Law The elongation produced in an ideal spring is directly proportional to the spring force: F = − k x . F=-kx.
Is a spring potential or kinetic energy?
Kinetic energy is energy associated with motion. For example, when a spring uncompresses and accelerates a mass, as in the configuration of Fig. B. 2, work is performed on the mass by the spring, and we say that the potential energy of the spring is converted to kinetic energy of the mass.
How do you use Hooke’s law formula?
Hooke’s Law Equation The Hooke’s Law Calculator uses the formula Fs = -kx where F is the restoring force exerted by the spring, k is the spring constant and x is the displacement, or distance the spring is being stretched.
How do you calculate Young’s modulus?
Young’s modulus equation is E = tensile stress/tensile strain = (FL) / (A * change in L), where F is the applied force, L is the initial length, A is the square area, and E is Young’s modulus in Pascals (Pa). Using a graph, you can determine whether a material shows elasticity.
How is Hooke’s formula derived?
Derivation of Hooke’s law By convention, the minus or negative sign is present in F= -kx. The restoring force F is proportional to the displacement x, according to Hooke’s law. When the spring is compressed, the coordinate of displacement x is negative. Zero when the spring is at its normal length.
How do you calculate elasticity in physics?
- Find the cross-sectional area of the cord.
- Attach the rubber cord at one end so that it is hanging down, and then measure its length.
- Hang a mass from the bottom of the cord and calculate the force in Newtons.
- Measure the change in the length of the cord.
- Find the elastic modulus:
What is the unit for elasticity?
The units of modulus of elasticity are pressure units, as it is defined as stress (pressure units) divided by strain (dimensionless). Most commonly the units are Pascals (Pa) which is the SI unit, or pounds per square inch (psi) depending on the industry or geographical location.
Is tension and elastic force?
Tension is a force associated with the pulling of an object such as a rope, cable, or chain. It is very similar to elastic potential energy. Once an object is stretched out and put under tension it will naturally return to its relaxed length as soon as it is free of this force.
What is E cathode and E anode?
You previously learned that an electrochemical cell consists of two half-cells: an anode and a cathode. The anode is the electrode where oxidation occurs and electrons are lost. The cathode is where reduction takes place and electrons are gained.
Is E cell anode minus cathode?
In an electrochemical cell, the cathode and the anode have a certain electrode potential independently and the difference between them is the cell potential: Ecell = Ecathode − Eanode.
What is E value chemistry?
The value of E indicates the willingness of a half-cell to be reduced (i.e. it is a reduction potential). It shows the how many volts are required to make the system undergo the specified reduction, compared to a standard hydrogen half-cell, whose standard electrode potential is defined as 0.00 V.
What is E cell formula?
Ecell = EOcell + 0.059 / 2 X log [ Cu2+ ] / [ Zn2+ ] From the electrochemical series; EOcell = EOcathode – EOanode = ECu2+| Cu = , EOZn2+| Zn = 0.34 – (-0.76) = 1.1 V. Substitute this value and we get; Ecell = 1.1 + 0.059 / 2 X log [ Cu2+ ] / [ Zn2+ ]
What is the value of E cell?
Therefore, E cell = E reduced – E oxidised = + 0.34 V – (-0.76 V) = + 1.10 V. As the E cell value calculated is positive, the reaction is thermodynamicaly spontaneous!
What does E cell mean?
E°cell is the electromotive force (also called cell voltage or cell potential) between two half-cells. The greater the E°cell of a reaction the greater the driving force of electrons through the system, the more likely the reaction will proceed (more spontaneous). E°cell is measured in volts (V).