So that’s negative of 80 kilograms mass times 9.81 newtons per kilogram divided by negative 0.12 meters. And this is negative because the spring was displaced downwards. And we’re taking positive to be up. And this works out to a spring constant of 6540 newtons per meter.
Table of Contents
How do you solve spring problems in physics?
What happens when you push and compress the spring and then release it?
When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length.
How much work is done by the spring on the ball?
How do you solve Hooke’s law problems?
What is the spring force formula?
F = k(x โ x0) the displacement of the spring from its position at equilibrium is x, the spring constant is k. The negative sign tells that the visualized spring force is a restoring force and acts in the opposite direction.
What is the length of a pendulum that has a period of 0.500 s?
Thus, the length of the pendulum is approximately 0.062m .
How do you solve for spring compression?
- x=(mg)/k.
- mgx=(kx2)/2.
- x=(2mg)/k.
What are energy change when a compressed spring is released?
The compressed spring has elastic potential energy due to its compressed state. Which it is released, the potential energy of the spring changes into kinetic energy which does work on the ball if placed on it and changes into kinetic energy of the ball due to which it flies away.
When a spring is compressed by applying a force on it?
If a spring is compressed, energy is stored in spring and when it is elongated, energy is released.
Is work done by spring always negative?
The minus sign indicates that the spring force is always opposite in direction to the displacement of its free end. So the work done by a spring force is always negative.
Do springs have 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.
Do springs weaken under compression?
Does Leaving a Spring Compressed Weaken It? A spring under tension for an extended period of time can become weaker. Any object will either resist or deform when subjected to outside stress.
What is Hooke’s Law with example?
The deforming force may be applied to a solid by stretching, compressing, squeezing, bending, or twisting. Thus, a metal wire exhibits elastic behaviour according to Hooke’s law because the small increase in its length when stretched by an applied force doubles each time the force is doubled.
How do you calculate how far a spring will stretch?
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 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.
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.
Is it f Kx or F =- KX?
Hooke’s law is formulated as either F = -kx with a minus symbol or as F = kx without the minus symbol. If the minus is present, F indicates a restoring force, that is, the force that allows the object to return to its original shape and position.
How is pendulum calculated?
To calculate the length of a simple pendulum, use the formula L = (T/ 2ฯ)ยฒ*g . Where T is the time period of the simple pendulum and g is the acceleration due to gravity.
How do you find the value of g in a simple pendulum?
- A. ‘g’ = (10 ยฑ 2) m/s2.
- B. ‘g’ = (10.0 ยฑ 0.2) m/s2.
- C. ‘g’ = (10 ยฑ 0.002) m/s2.
- D. ‘g’ = (10.0 ยฑ 0.02) m/s2.
How do you calculate the period of a pendulum?
each complete oscillation, called the period, is constant. The formula for the period T of a pendulum is T = 2ฯ Square root ofโL/g, where L is the length of the pendulum and g is the acceleration due to gravity.
How do you calculate force compression?
The formula to calculate compressive strength is F = P/A, where: F=The compressive strength (MPa) P=Maximum load (or load until failure) to the material (N) A=A cross section of the area of the material resisting the load (mm2)
How do you calculate spring rate for compression springs?
You have a compression spring with a free length of 5″ and it is supposed to travel or compress 2″ under a load of 20 pounds. To calculate the compression spring rate of this spring, divide the load of 20 pounds by the distance traveled of 2″.
Is a compressed spring kinetic or potential energy?
The compressed spring has elastic potential energy due to its compressed state. Which it is released, the potential energy of the spring changes into kinetic energy which does work on the ball if placed on it and changes into kinetic energy of the ball due to which it flies away.
What type of energy is stored in a compressed spring?
Potential energy is stored in a compressed spring.