Table of Contents

## Does spring force increase with mass?

A: A stiffer or stronger spring means a greater force in Newton’s second law, F = ma. For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.

**Why does a spring stretch when mass is added?**

Force Analysis of a Mass on a Spring. The restoring force causes the vibrating object to slow down as it moves away from the equilibrium position and to speed up as it approaches the equilibrium position. It is this restoring force which is responsible for the vibration.

**What happens to a spring the more mass you add to it?**

The spring extended 5 mm each time a 10 g mass is added (which increased the force due to gravity by 0.1 N). This follows Hooke’s Law which states that the extension of an elastic object (like a spring) is directly proportional to the force added.

### Does mass affect spring constant?

As you can see the restoring force constant i.e. the spring constant does not depend on mass and hence the resulting motion Does depend on mass.

**How does a mass on a spring oscillate?**

The simplest oscillations occur when the restoring force is directly proportional to displacement. The motion of a mass on a spring can be described as Simple Harmonic Motion (SHM): oscillatory motion that follows Hooke’s Law.

**What does a larger spring constant mean?**

stiffer

The spring constant, k, is a measure of the stiffness of the spring. The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.

## Does the spring constant change?

The proportional constant k is called the spring constant. 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 find the spring constant given mass and distance?**

The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring’s length.

**What is the restoring force for a mass on a spring?**

The restoring force causes the vibrating object to slow down as it moves away from the equilibrium position and to speed up as it approaches the equilibrium position. It is this restoring force which is responsible for the vibration. So what is the restoring force for a mass on a spring?

### Which is the force applied to the spring constant?

If the spring constant is originally k then by Hooke’s law the force applied is F = 8 k. Now for one of the smaller pieces, we know the spring constant has tripled, to k 1 = 3 k. If the new force required is F 1, then F 1 = 4 k 1 = 4 ( 3 k).

**How big is the mass of 30 springs?**

Hopefully this makes intuitive sense — it should not be a surprise. If we think of the original spring as being two shorter springs attached together, then the mass of 30 is stretching both smaller springs by 1 mm, giving a total stretch of 2 mm.

**How is the period of a spring mass system determined?**

One measurable quantity that can be used to distinguish one spring-mass system from another is the period. As discussed earlier in this lesson, the period is the time for a vibrating object to make one complete cycle of vibration. The variables that effect the period of a spring-mass system are the mass and the spring constant.