What will be the spring constant of each part if the spring of force constant k is divided in to N equal parts?

Statement I : The spring constant of a spring is k. When it is divided into n equal parts, then spring constant of each piece is k/n. Statement II : The spring constant is independent of material used for the spring.

What is the unit of the force constant of the spring k?

newtons per meter
Units of measurement In SI units, displacements are measured in meters (m), and forces in newtons (N or kg·m/s2). Therefore, the spring constant k, and each element of the tensor κ, is measured in newtons per meter (N/m), or kilograms per second squared (kg/s2).

What is the value of k in spring force?

Reasoning: An ideal spring obeys Hooke’s law, F = -kx. Details of the calculation: k = |F/x| = (0.1 N)/ (0.035 m) = 2.85 N/m.

What are the units of constant k in FSP formula?

The units for the spring constant, k, are Newtons per meter (N/m).

What is K physics?

Boltzmann constant, (symbol k), a fundamental constant of physics occurring in nearly every statistical formulation of both classical and quantum physics. The molar gas constant R is defined as Avogadro’s number times the Boltzmann constant.

What is the formula for the force of a spring?

The spring force formula is expressed through the equation: F = – kx.

What is the value of k force constant?

The Coulomb constant, the electric force constant, or the electrostatic constant (denoted ke, k or K) is a proportionality constant in electrostatics equations. In SI units it is equal to 8.9875517923(14)×109 kg⋅m3⋅s−2⋅C−2….Coulomb constant.

What happens to the spring constant when two springs in series?

Using the same springs as the first example, when two 10-N/m spring scales are combined in series, the resultant spring constant for the two-spring system is 5 N/m. The resultant spring constant is half the value of the original, single spring constant.

Is K the spring constant?

The letter k represents the “spring constant,” a number which essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.

What is the force constant of one fourth length of spring?

One – fourth length of a spring of force constant k is cut – away. The force constant of the remaining spring will be : >> One – fourth length of a sp… One-fourth length of a spring of force constant k is cut-away. The force constant of the remaining spring will be : Since, one-fourth length is cut-away.

What is the formula for spring constant?

F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. 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.

What happens to spring constant when a spring is cut in half?

spring constant should remain same because it depends on the material of which it is made of cutting it into two pieces will not affect spring constant. if force F is applied it will cause same x distance before spring is deformed permanently.

How do you find the force that a spring exerts?

The force F the spring exerts on the object is in a direction opposite to the displacement of the free end. If the x-axis of a coordinate system is chosen parallel to the spring and the equilibrium position of the free end of the spring is at x = 0, then. F = -kx.