Mole Equation and Tiltration

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Derive for me all mole equations and show how they are used to calculate different tiltration proportions

Surname 1 Name Course Instructor Date LAB2: HOOKE’S LAW Questions 1. What is Hook’s Law? It is a physics principle that explains the relationship between the force compressing or stretching an elastic material (spring) to some length x and it claims through empirical proof that the force is directly proportional to the length x. FΞ± X. beyond the elastic limit, Hooke’s law is not obeyed as shown in the graph (Drabble E, 1971 p123). 2. Spring constant k of a spring? Spring constant k, is defined as the ratio of the force to the displacement x that occur in a springπ’Œ = 𝒇𝒐𝒓𝒄𝒆/π’†π’™π’•π’†π’π’”π’Šπ’π’ 3. What is the unit of the spring constant? From the definition of spring constant; the ratio of force to the stretched length, it can be deduced that the unit for spring constant is Newton per meter. Symbol as; N/m π’Œ = 𝒇𝒐𝒓𝒄𝒆(π’π’†π’˜π’•π’π’π’”)/π’†π’™π’•π’†π’π’”π’Šπ’π’(π’Žπ’†π’•π’†π’“π’”) Procedure1: the spring constant k was kept at the minimum setting and the mass m pushed gently to some reasonable height and then released. Surname 2 Observation1: The spring went back and forth the surface. This is due to the assumption that the surface is frictionless. KE and PE values are noted at their peak to be 100J respectively. Total energy at any point is found to be 100J. 4. Where the maximum force? The force is maximum at right and left 5. Why this force is called the restoring force? It is restoring force because it returns the spring to its original position before the displacement was introduced into the system 6. (a) Where is the KE = 0? At right and left (b) Why KE=0? This is due to semi- motion/stationary point as the point the spring is either at rest, or returning to the original position due to displacement force. 7. (a) Where is the KE = MAX? Maximum KE is at the Centre (b) Why? This gives it the momentum to swing right and left through the Centre due to the restoring energy stored in the spring. 8. (a) Where is the PE = 0? PE=0 at the Centre (b) Why? There is no displacement in the height for the mass to possess the necessary potential energy as at this point, we have a maximum kinetic energy 9. (a) Where is the PE = MAX? PE=MAX at right and left (b) Why? This is the point the mass has reached its maximum displacement height from the central starting position. The energy total being 100, and at this point PE=100 since the KE is 0 10. Name three applications of the property of the spring? Gun recoiling velocity, motor vehicle shock absorber and stress strain analysis of materials Surname 3 Explanation: The k value explains what property of the spring? K explains the proportionality property in the relationship between the stretching force and the displaced distance. This is what is called the spring constant, a measure of the energy stored by the spring. Expression for velocity from k now becomes; Let W = work done by the spring, k = spring constant, x = compression of spring, therefore; W = k(x) and KE = (1/2) * m * v^2 where m = mass and v = velocity. Energy is transformed from spring to linear motion. Therefore; W = KE implying that; k(x) = (1/2) * m * v^2 k = (m*v^2)/ (2x). the expression can be seen to depend on the value k of the spring. Figure1. Maximum kinetic energy Surname 4 Figure2. Maximum potential energy Surname 5 H Surname 6 Works Cited Drabble, George E. Applied Mechanics Made Simple. London: W.H. Allen, 1971. Print.

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