Question: When an object weighing 50 N is hung from a vertical spring, it stretches 20 cm. Calculate the spring's elastic constant. If the 50 N load were replaced with a 80 N weight, how far would the spring stretch?

Solution Preview

We have the relation, F = -kx, where K is the spring constant and x is ...

Solution Summary

This solution provides the variables and equations needed for solving this physics-based question. This is all completed in about 40 words.

Prove that when two springs are attached one at the end of the other, the coefficient of the final spring becomes 1 / (1/k1 + 1/k2 ) where k1 and k2 are the coefficient of the two individual springs, the direction of the springs is VERTICAL not horizontal. Then consider two systems of springs, one in which a mass m is attached t

See attached file.
In Fig. 15-36, two springs are joined and connected to a block of mass 0.245 kg that is set oscillating over a frictionless floor. The springs each have spring constant k=6430 N/m . What is the frequency of the oscillations?

A force of 64N stretches a spring 4 meters. The mass of 4kg is attached to the spring and set into motion in a medium that offer a damped force equal 16 times the velocity. If the mass is pulled down 2 centimeters from the equilibrium position and released. Find the equation for the position. Find the time(s) at which the mass p

A 7 kg cylinder is attached to a series of two springs - as shown in the attached illustration (see the attachment). If the cylinder is released from rest - when the springs are both un-stretched - determine the maximum stretch in each spring.

A company sampled 40 of the springs that it manufactures for use in small engines and discovered that 20% of the springs did not meet specifications. Construct a 99% confidence interval for the population proportion of springs that do not meet specifications.

The police chief of the City of Healing Springs has suggested that female patrol officers seek transfers away from high crime areas because he has heard rumors that male officers do not want to have female officers present in dangerous situations and might not support the female officers in the event that physical force is neede

Three identical masses m are connected to 2 identical springs of stiffness k and equilibrium length b, as shown in the figure above. The masses are free to oscillate in one dimension along an axis that runs through all three. They lie on a level, frictionless, horizontal surface. Introduce coordinates, x1, x2 and x3 to measure t

Consider two massless springs connected in series. Spring 1 has a spring constant k_1, and spring 2 has a spring constant k_2. A constant force of magnitude F is being applied to the right. When the two springs are connected in this way, they form a system equivalent to a single spring of spring constant k.
a) Find the sprin

A light spring of constant k = 164 N/m rests vertically on the bottom of a large beaker of water (see Fig. a). An m = 4.63 kg block of wood (density = 630 kg/m3) is connected to the spring and the mass-spring system is allowed to come to static equilibrium (see Fig. b). What is the elongation, DeltaL, of the spring?

I need some assistance for a 3 spring problem: horizontal configuration, frictionless surface. Spring constant is k for all three springs and mass = m for both weights ie configuration is:
wall| spring - weigh t- spring - weight - spring |wall.
Meed solution using eigenvalues and Lagrangian to obtain equations of motions.