SI units of the force constant of a spring?

Question

Show that the SI units of the force constant of a spring can be written as Kg/s^2?

Answer 1

Hooke's law is F = -kx. You know the units of F and x, so from that you can figure out the units of k.

Answer 2

Force Constant Units

Answer 3

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SI units of the force constant of a spring?
Show that the SI units of the force constant of a spring can be written as Kg/s^2?

Answer 4

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F = -kx is the formula which is called Hooke's Law x is the displacement of the spring's end from its equilibrium position (a distance, in SI units: meters); F is the restoring force exerted by the spring on that end (in SI units: N or kg·m/s2); and k is a constant called the rate or spring constant (in SI units: N/m or kg/s2).

Answer 5

Remember this...units can be operated on mathematically just like a variable. So F = k dx is the force of a spring moved dx distance from neutral and having a constant k.

Solve for k = F/dx; now write the units on the RHS of the equation ---> Newtons/meter. This follows because Newtons are the SI force unit and meter is the corresponding length unit.

But what the heck is a Newton? Well, its an arcane term used to describe force, but it certainly doesn't tell us much about the SI units, which are kg for mass, meter for length, and second for time. But, once again, we can figure what a Newton is in SI by setting F = ma; so that the units for force F are kg-m/sec^2 by multiplying the mass unit by the acceleration units. And as a Newton is a force, then a Newton must be one kg-m/sec^2.

OK, then, as the k units = Newton/meter = kg-m/sec^2//m = kg/sec^2 because the length unit (meter) cancels out. And there are your k units in SI units.

The key thing to keep in mind when doing units analysis (which is what we just did here) is that the units can be treated just like variables in an equation.

Answer 6

I'm going to a CC too and 18 units is the max...I had trouble passing 14 units with 2 A's and 2 C's I'll admit I slacked off a little bit lol This semester im taking 16 units and 6 classes and im sure i'll do good in them all I have to do is give it my all so I think you can do it :)