How do you find the distance a spring is stretched?
We can find the spring constant of the spring from the given data for the 4 kg mass. Then we use x = F/k to find the displacement of a 1.5 kg mass. The work that must be done to stretch spring a distance x from its equilibrium position is W = ½kx2.
How do you calculate the energy stored in a spring?
Energy stored in a spring
- Work is done when a spring is extended or compressed . Elastic potential energy is stored in the spring.
- The elastic potential energy stored can be calculated using the equation:
- elastic potential energy = 0.5 × spring constant × (extension) 2
What is the potential energy stored in a spring with a spring constant of 75 N m that has been stretched using a force of 25 N?
x=F/k=(75 N)/(1500 N/m)=0.05 m. Finally, we can find the potential energy stored in the spring: PE=1/2 kx^2=1/2∙1500 N/m∙(0.05 m)^2=1.875 J.
How do you find the kinetic energy of a spring constant?
Identify the spring’s maximum kinetic energy, at the equilibrium point, as equal to the initial potential energy. Calculate the kinetic energy at any other point of displacement, X, by subtracting the potential energy at that point from the initial potential energy: KE = (0.5)kx^2 – (0.5)kX^2.
How do you calculate spring compression distance?
Starts here1:59Determining the spring compression after elastic collision with a massYouTube
How do we calculate energy?
In classical mechanics, kinetic energy (KE) is equal to half of an object’s mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2.
How do I calculate kinetic energy?
How do you calculate a spring?
For example, if you are told that a spring exerts a force of 1,000 N when stretched by 2 m, you can divide to get the spring constant: 1,000/2 = 500 N/m.
What is the energy of a 600 nm photon?
=3.3×10-19J.
What is the formula of spring constant in Hooke’s law?
According to Hooke’s law, the force required to compress or extend a spring is directly proportional to the distance it is stretched. The formula of spring constant is given as: Where, F is the restoring force of the spring directed towards the equilibrium. k is the spring constant in N.m -1.
What is the spring constant in terms of units?
If you think about what this means in terms of units, or inspect the Hooke’s law formula, you can see that the spring constant has units of force over distance, so in SI units, newtons/meter. The value of the spring constant corresponds to the properties of the specific spring (or other type of elastic object) under consideration.
How do you calculate the displacement of a spring in physics?
Choose a value of spring constant – for example, 80 N/m. Determine the displacement of the spring – let’s say, 0.15 m. Substitute them into the formula: F = -kΔx = -80 * 0.15 = 12 N. Check the units!
How do you calculate the number of N in a spring?
Choose a value of spring constant – for example 80 N/m. Determine the displacement of the spring – let’s say, 0.15 m. Substitute them into the formula: F = -k*x = -80*0.15 = 12 N. Check the units!