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Use our Restoring Force Calculator to quickly find force with Hooke’s Law. Simple formula, instant results, and easy physics explained.
Ever stretched a spring and felt it snap back? That’s the restoring force in action. It’s nature’s way of pulling things back to balance. Our Restoring Force Calculator makes it easy for you to find this force in seconds. No messy math, just quick and clear results.
A restoring force is the push or pull that brings an object back to its normal state. When you stretch or compress a spring, the spring pushes back. That push is the restoring force.
In physics, it always points toward the object’s equilibrium position. The further you pull it away, the stronger it pulls back.
The formula comes straight from Hooke’s Law:
Fr = k × d
Where:
Another way you’ll often see it written is:
F = −k × x
Here, the minus sign shows the force acts in the opposite direction of the displacement.
Say you have a spring with a constant of 325 N/m. You pull it 2 meters from its resting point.
Fr = k × d
Fr = 325 × 2
Fr = 650 N
So, the spring pushes back with 650 Newtons of force.
It’s that simple. You’ll never need to second-guess your math again.
In real life, measuring restoring force often means testing how much force is needed to stretch or compress a spring. Engineers measure this with tools like a force gauge. But for everyday calculations, our online tool saves you time and effort.
The work done is slightly different. When you stretch a spring, the work is given by:
W = 1/2 × k × d²
This formula tells you the energy stored in the spring. For example, if k = 100 N/m and d = 0.5 m:
W = 1/2 × 100 × (0.5)² = 12.5 J
So the spring stores 12.5 joules of energy.
The restoring force may sound like complex physics, but it’s really just a spring wanting to return to its normal shape. With our Restoring Force Calculator, you can figure it out in seconds. It’s quick, easy, and saves you from doing the math by hand.
The formula is Fr = k × d. It’s based on Hooke’s Law.
Use W = 1/2 × k × d². This gives the stored energy.
It’s Hooke’s Law. The minus sign shows the force points opposite to the displacement.
Yes, if you compress instead of stretch. But the restoring force always points back toward equilibrium.