How do you find the mass of a spring constant?

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/sec2.

How do you find the gravitational potential energy of a spring?

PEgrav = m *• g • h In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) – sometimes referred to as the acceleration of gravity.

How do you calculate stretch physics?

In equation form, Hooke’s law is given by F=kΔL F = k Δ L , where ΔL is the change in length. Elasticity is a measure of how difficult it is to stretch an object. In other words it is a measure of how small k is. Very elastic materials like rubber have small k and thus will stretch a lot with only a small force.

What is the spring constant of the spring?

The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. 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.

How do you calculate energy storage?

The energy stored in a capacitor can be expressed in three ways: Ecap=QV2=CV22=Q22C E cap = QV 2 = CV 2 2 = Q 2 2 C , where Q is the charge, V is the voltage, and C is the capacitance of the capacitor. The energy is in joules when the charge is in coulombs, voltage is in volts, and capacitance is in farads.

Is there gravitational potential energy in spring?

In the middle of the motion: Some energy is stored in the spring, since it is stretched to some degree; that is, there is some potential energy in the spring. Some energy is stored in the gravitational field, since the object is lifted above ground; that is, there is some potential energy due to gravity.

How do you calculate gravitational potential energy?

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

How do you find the spring constant of a spring?

The spring constant is given as: \\(k=-\\frac{F}{x}\\) = – 2 / 0.4= – 5 N/m. Example 2 A boy weighing 20 pounds stretches a spring by 50 cm. Determine the spring constant of the spring. Solution: Given: Mass m = 20 lbs = 20 / 2.2 = 9.09 Kg. Displacement x = 50 cm. The force F = ma = 9.09 × 9.8 = 89.082 N. The spring constant formula is given by:

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!

What is the spring constant in NM -1?

F is the restoring force of the spring directed towards the equilibrium k is the spring constant in N.m -1 x is the displacement of the spring from its equilibrium position In other words, the spring constant is the force applied if the displacement in the spring is unity.

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.