what is the x in hooke's law?
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Hookes Law F=-KX athematically, Hooke's law states that F=-kx, where x is the displacement of the spring's end from its equilibrium position (a distance, in SI units: meters); F is the restoring force exerted by the spring on that end (in SI units: N or kg·m/s2); and k is a constant called the rate or spring constant (in SI units: N/m or kg/s2).
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Calculus - Hooke's Law , Spring Constant? Best Answer: force = kx [Hooke's Law] (where x is the amount of stretch) W(x) = work = 1/2 k x^2 = amount of work done in stretching the spring from its natural length to an amount of stretch of x. let L be the original length . (L < 8) 1 joule = 10000000 ergs.
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A spring that has a spring constant of 440 N/m exerts a force of 88 N on a box. What is the displacement of the spring? 0.2 m5 m352 m 528 m The force of a spring is calculated according to Hooke’s law which is expressed as: F = kx. where F is the force, k is the spring constant and x is the distance. 88 = 440x. x = 0.2 m. Hope this answers the question. Have a nice day.
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Hooke's Law For elastic springs, the relationship between the applied force and the distance the spring moves is called Hooke's Law. F = -kx (1). The negative sign is used because F is the restoring force of the spring, which is in the opposite direction from the applied force of the hanging mass.
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Hooke's Law In contrast to the ball, moving a spring a distance, x (measured from its unstretched position) requires a non-constant force: the more you stretch/compress a spring, the more force it requires. For elastic springs, the relationship between the applied force and the distance the spring moves is called Hooke's Law. F = -kx (1). The negative sign is used because F is the restoring force of the spring, which is in the opposite direction from the applied force of the hanging mass. The restoring force is therefore in the opposite direction from the displacement of the spring. This relationship between restoring force and displacement depends on the physical properties of the spring. The more stiff a spring is, the more difficult it is to stretch or compress it.
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Inverse Square Law The inverse square relationship between force and distance is expressed in the Coulomb's law equation for electrostatic force. In the previous section of Lesson 3, Coulomb's law was stated as This equation is often used as a recipe for algebraic problem solving.
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Why Your Husband Wonât Meet Your Needs After visiting another eyeglass store, it seems that in order for them to make you a pair of prescription glasses, they must have either your old glasses so that they can read the prescription from them (using a special machine), or a written prescription with an eye doctor's signature. don't know what the law is, but the wrong prescription can certainly cause eyestrain at a minimum, and maybe damage at worst. Even if the law doesn't require it, I sure wouldn't want to get sued by giving you glasses that aren't exactly what you need.
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What is a spring? Hooke's law. When studying springs and elasticity, the 17ᵗʰ century physicist Robert Hooke noticed that the stress vs strain curve for many materials has a linear region. Within certain limits, the force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring.
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Determine the Spring Constant Note that the restoring spring force is given by Hooke's Law as kx. This equilibrium can be expressed as. W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec 2. Using this relationship weights are computed for the masses in the table above.
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Hooke's Law Using Calculus, we can determine the work done by the spring on the particle (or body) as it changes length between two positions. Let’s call these two positions 1 and 2. For a force F that is parallel to displacement (x), the general equation for the work done by force F is equal to:
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Calculus - Hooke's Law , Spring Constant? Calculus - Hooke's Law , Spring Constant? Hi could someone please show me the steps how to answer this question? It requires 0.05 joule of work to stretch a spring from a length of 8 cm to 9 cm and another 0.10 joule to stretch it from 9 cm to 10 cm. Determine the spring constant and find the natural length of the spring.
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- by a suitable displacement ﬁeld. 8.2 Hooke’s law in isotropic matter. Hooke’s law is a linear relation between force and extension, and continuous materials with. a linear relation between stress and strain implement the local version of Hooke’s law.
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- extension, so is the force”. In elementary mechanics the elasticity of a spring is expressed by Hooke’s law which says. that the amount a spring is stretched or compressed beyond its relaxed length is proportional. to the force acting on it.
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Mitochondrial matrix In the mitochondrion, the matrix contains soluble enzymes that catalyze the oxidation of pyruvate and other small organic molecules. The mitochondrial matrix also contains the mitochondria's DNA and ribosomes. The word matrix stems from the fact that this space is viscous, compared to the relatively aqueous cytoplasm. The cytosolic compartment has a water content of 3.8 μl/mg protein, while the mitochondrial matrix 0.8 μl/mg protein.
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Hooke's law Hooke’s law. Hooke’s law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load.
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Hooke's law Force constant mainly means spring constant in physics, which ultimately refers to Hooke's law Hooke's law is a principle of physics that states that the force (F) needed to extend or compress a spring by some distance X is proportional to that distance. That is: F = kX, where k is a constant factor characteristic of the spring: its stiffness, and X is small compared to the total possible deformation of the spring.
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- Hooke's Law. When an elastic object - such as a spring - is stretched, the increased length is called its extension. The extension of an elastic object is directly proportional to the force applied to it: F = k × e. F is the force in newtons, N. k is the 'spring constant' in newtons per metre, N/m. e is the extension in metres, m.
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- The skewness of \(X\) is the third moment of the standard score of \( X \): \[ \skw(X) = \E\left[\left(\frac{X - \mu}{\sigma}\right)^3\right] \] The distribution of \(X\) is said to be positively skewed, negatively skewed or unskewed depending on whether \(\skw(X)\) is positive, negative, or 0.
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- Newton's First Law: An object that is at rest will remain at rest and an object that is moving in a straight line with constant velocity will continue to do so, if the net force (the sum of all forces acting on the object) is equal to zero. Newton generalized Galileo's study of motion to fit motion in any direction.
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How can I calculate force on a spring given the mass and displacement? Answers. Relevance. Rating Newest Oldest. Best Answer: Hooke's law tells us that the force on a spring is directly proportion to the displacement: F=kx, where k is a constant specific to each spring. Your specific question is confusing as it makes no mention of the spring constant, and uses mass instead of force.(F=9.8*M, for Newtons and Kilograms).nswers. Relevance. Rating Newest Oldest. Best Answer: Hooke's law tells us that the force on a spring is directly proportion to the displacement: F=kx, where k is a constant specific to each spring. Your specific question is confusing as it makes no mention of the spring constant, and uses mass instead of force.
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- Hooke had grasped the cardinal principle of paleontology -- that fossils are not sports of Nature, but remains of once-living organisms that can be used to help us understand the history of life.
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Microscope history: Robert Hooke (1635 - 1703) Microscope history: Robert Hooke (1635 - 1703) The Englishman Robert Hooke (18th July 1635 - 3rd March 1703) was an architect, natural philosopher and brilliant scientist, best known for his law of elasticity (Hooke's law), his book Micrographia, published in 1665 and for first applying the word cell to describe the basic unit of life.
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- PH 141. Hooke's Law and the Work done by a Spring. Purpose. : To verify Hooke's law for springs, and determine the spring constant which. characterizes the force exerted by a spring. To verify the relationship the amount of work done. by a spring as it is stretched.
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Isosceles and Equilateral Triangles This part of the exercise requires our knowledge of the angles of equilateral triangles. As mentioned before, every angle has a measure of 60, so we have. We have already determined the value of x, so we can plug this value right into our equation to solve for y. Thus, we get x = 3 and y = 6.
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Inverse Square Law to distance r. Hence, the inverse law for sound is: $I_s$ $\alpha$ $\frac{1}{r^2}$. Where $I_s$ is intensity of sound, r is the distance from source. The sound intensity level is not so easy to measure hence we sound pressure level is taken instead and measured in decibel instead.
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What is Hookeâs Law? Hooke’s law is the first classical example of an explanation of elasticity – which is the property of an object or material which causes it to be restored to its original shape after distortion. This ability to return to a normal shape after experiencing distortion can be referred to as a “restoring force”.