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F = - k x
In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position
F is the restoring force exerted by the spring.
k is the spring constant.
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∙ 11y ago
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Is the spring constant is constant on the moon?
no the spring constant is not constant on moon because there is no restoring force there
What is the spring constant of a spring?
The ratio of force applied to how much the spring streches (or compresses). In the SI, the spring constant would be expressed in Newtons/meter. A larger spring constant means the spring is "stiffer" - more force is required to stretch it a certain amount.
How does length of spring coil affect the force constant?
The force constant is unaffected; It is a constant.
What is the constant used in the formula to find the area of a circle?
You are thinking of pi.A = (pi)r^2
What is the physical meaning of a spring constant?
It means how "stiff" the spring is; how hard it is to compress or extend it.
What is the formula for spring stiffness?
The constant spring stiffness formula is the force applied to the spring equal to the stiffness times the distance it moved. F=kx. Depending on where your axis are, it could be negative.
What is the dimensional formla of Spring Constant?
The dimensional formula for the spring constant (k) is [M][T]^-2, where [M] represents mass and [T] represents time.
If A 125 n object vibrates with a period of 3.56 s when hanging from a spring what is the spring constant of the spring?
The spring constant k can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant. Rearranging the formula to solve for k, we have k = (4π²m) / T². Plugging in the values (m = 0.125 kg and T = 3.56 s), we get k ≈ 4.93 N/m.
How much force is required to stretch the spring 49 inches?
The amount of force required to stretch a spring by 49 inches depends on the stiffness or spring constant of the spring. The formula to calculate this force is F = k * x, where F is the force, k is the spring constant, and x is the displacement of the spring (in this case, 49 inches). Without knowing the spring constant, the force required cannot be determined.
How much will the spring be stretched 25kg of 4500Nm?
To calculate the spring stretch, you need to use Hooke's Law formula which states F = kx, where F is force, k is the spring constant, and x is the displacement/stretch of the spring. Rearranging the formula to solve for x, you get x = F/k. Given force (4500 N) and mass (25 kg), you can calculate the force as F = m*g, where m is the mass and g is the acceleration due to gravity (9.81 m/s^2). Then, you can calculate the spring constant using Hooke's Law formula with the given force and stretch. Subsequently, use this spring constant to determine the stretch of the spring by rearranging the Hooke's Law formula.
How do you calculate energy stored in the spring when it extended?
The energy stored in a spring when it is extended is calculated using the formula: 0.5 * k * x^2, where k is the spring constant and x is the displacement of the spring from its equilibrium position. This formula represents the potential energy stored in the spring due to its deformation.
Is the spring constant is constant on the moon?
no the spring constant is not constant on moon because there is no restoring force there
How do you find spring constant in mousetrap car?
Measure the force (f) required to compress the spring a given amount (x) then use hooke's law to compute the spring constant (k) (f=kx)
How many Hooke's law formulas are there?
There is only one formula for Hooke's law, which states that the force exerted by a spring is proportional to the displacement of the spring from its equilibrium position. The formula is F = -kx, where F is the force, k is the spring constant, and x is the displacement.
With a 50g mass spring undergoes SHM with a frequency of 0.70 Hz how much work is done in stretching the spring 15 cm from its unstretched length and how much energy is then stored in spring?
To find the work done in stretching the spring, you can use the formula for potential energy stored in a spring: PE = 0.5 k x^2, where k is the spring constant and x is the displacement. Given the frequency, you can calculate the spring constant using the formula f = 1 / (2π) * sqrt(k / m), where m is the mass. Once you find k, you can then find the potential energy stored in the spring when extended by 15 cm by plugging in the values. The work done in stretching the spring can be calculated by multiplying the force needed to stretch the spring by the distance stretched. The potential energy stored in the spring when extended by 15 cm can be determined by the formula PE = 0.5 k x^2, where k is the spring constant and x is the displacement. Once the spring constant is found using the frequency and mass, you can calculate the energy stored in the spring.
A frequency of vibration of a mass-spring system is 5Hz when a 4g mass is attached to the spring .Calculate the forces constant of the spring?
To calculate the force constant of the spring (k), you can use the formula for the frequency of vibration of a mass-spring system: f = 1 / (2π) * √(k / m) where f is the frequency, k is the force constant of the spring, and m is the mass. Rearranging the formula gives: k = (4π^2 * m * f^2). Plugging in the given values: k = (4π^2 * 0.004 * 5^2) ≈ 1.256 N/m.
Length of the spring is halved then the spring constant becomes?
If the length of the spring is halved, the spring constant remains the same. The spring constant is determined by the material and shape of the spring, and is not affected by changes in length.
