What is the force constant of a spring which is stretched 2mm by a force of 4 N?
Since F = kx, k = F/x
clearly, k = (4N)/(2mm) = 2 N/mm
You might want to convert that to N/m or other units.
Cadde
Why did the spring go to therapy? Because it had major tension issues! Now, let's get into the nitty-gritty. The formula to calculate the force constant of a spring is k = F / x, where k represents the force constant, F is the force applied, and x is the displacement. Plugging in the values you provided, we have k = 4 N / 0.002 m. Crunching those numbers, we find that the force constant of the spring is a whopping 2000 N/m. That's one spring that really likes to bounce back into action!
To find the force constant of the spring, you can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position. The formula for Hooke's Law is given by:
F = k * x
Where:
F = Force applied to the spring (4 N in this case)
k = Force constant (unknown)
x = Displacement of the spring (2 mm or 0.002 m in this case)
To find the force constant (k), you can rearrange the equation as follows:
k = F / x
Substituting the given values:
k = 4 N / 0.002 m = 2000 N/m
Therefore, the force constant of the spring is 2000 N/m.
To find the force constant of a spring, we can use Hooke's Law equation, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position. Mathematically, Hooke's Law can be written as:
F = -kx
where F is the force applied to the spring, k is the force constant, and x is the displacement.
We are given that the spring is stretched by a displacement of 2 mm (0.002 m) by a force of 4 N. Plugging these values into Hooke's Law equation, we can solve for the force constant (k).
4 N = -k * 0.002 m
To find k, divide both sides of the equation by -0.002 m:
k = 4 N / -0.002 m
Calculating this, we get:
k = -2000 N/m
Therefore, the force constant of the spring is -2000 N/m. The negative sign indicates that the force exerted by the spring is in the opposite direction of the displacement.