What is the constant k?
What is the constant k?
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 8.14)×109 kg⋅m3⋅s−2⋅C−2.
What is the dimensional formula of K?
Or, k = [M1 L2 T-2] × [M0 L0 T0 K1]-1 = [M1 L2 T-2 K-1].
What is K in dimensional analysis?
Dimensional Analysis
| Quantity | Unit name | Unit in terms of base units |
|---|---|---|
| Power | watt | k, g, m, squared, slash, s, cubed,kgm2/s3 |
| Pressure | pascal | k, g, slash, m, s, squared,kg/ms2 |
| Charge | coulomb | A, s,As |
| Voltage (potential) | volt | k, g, m, squared, slash, A, s, cubed,kgm2/As3 |
What is the dimensional formula for Stefan’s constant?
M1L1T−2K−2.
What is the force constant?
In physics, a force constant is another term for a spring constant, as defined by Hooke’s law. It is a proportionality constant, more precisely. The strength constant k is related to a system’s rigidity (or stiffness), the greater the constant of force, the greater the restored force, and the stiffer the system.
What is force constant in SHM?
In this case the force can be calculated as F=-kx, where F is the restoring force, k is the force constant, and x is the displacement. The motion of a mass on a spring can be described as Simple Harmonic Motion (SHM): oscillatory motion that follows Hooke’s Law.
Is friction a constant force?
where L is the load (normal force) and μ is a constant called the coefficient of friction. This finds lots of experimentally measured graphs of μ against sliding velocity and you’ll see μ is indeed dependant on velocity and isn’t a constant. Friction is an emergent property.
What is an example of a constant force?
The force of gravity is an example of a constant force. A variable force can be dependent on time (for example, an alternating electromagnetic field), the position of the particle in space (a gravitational force), or on the particle’s velocity (the resisting force of the medium).
What is constant speed?
Definition: When the speed of an object remains the same – it does not increase or decrease – we say it is moving at a constant speed.
What is the formula of constant force?
Work is done when a force is applied, at least partially, in the direction of the displacement of the object. If that force is constant then the work done by the force is the dot product of the force with the displacement: W = F ⃗ ∙ d ⃗ .
What is the value of constant force?
The second law of motion by Newton says that the force is equal to the change in momentum per change in the time. For a constant mass, force equals the mass times acceleration,F=m×a.
What is the dimension of force constant k?
The spring Constant is represented as K. The dimension of force constant can be operated using the spring force formula i.e. F = -Kx. It gives k = -F/x.
Is work done scalar or vector?
Work has only a magnitude but no direction. The formula for work is written as a dot product of force and displacement. Therefore, work is a scalar quantity.
Can work done be negative?
Work can be either positive or negative: if the force has a component in the same direction as the displacement of the object, the force is doing positive work. If the force has a component in the direction opposite to the displacement, the force does negative work.
Is work done is a vector quantity?
Complete answer: Also, we know that work is a dot product of vectors force and the displacement. Since, the dot product is a scalar quantity. So, work is a scalar quantity, it has only magnitude not direction.
How is work done scalar?
Work is a scalar quantity because it is the dot product of two vectors (Force and displacement). Dot product of two vectors becomes scalar quantity. So, work done has only magnitude but not direction. Work done W = F.S where F is the force applied and S the displacement.
Why power is a scalar quantity?
Power is defined as the energy (or work) per unit time. Since, time is not considered as a vector quantity, and neither energy or work because the work is not directional. So yes, the power is a scalar quantity because it has a unit magnitude but no direction.
Is force a scalar quantity?
Scalar quantities are defined by a magnitude with no applicable direction. In contrast, vector quantities must have both magnitude and direction of action. Some common scalar quantities are distance, speed, mass, and time. Some common vector quantities are force, velocity, displacement, and acceleration.
How can work be negative if it is a scalar?
If the displacement is in the direction of the force, then work is positive. If the displacement is in the opposite direction of the force, then work is negative. If the displacement is perpendicular to the direction of the force then work is zero. So, the work done depends on direction.
What is negative work done with example?
Negative work follows when the force has a component opposite or against the displacement. Negative work removes or dissipates energy from the system. Two examples: In pulling a box of books along a rough floor at constant velocity, I do positive work on the box, that is I put energy into the system.
What does negative work done mean?
If the direction of motion and F| are opposite, then negative work is being done. This means that energy is transferred in the opposite direction. For example, if you try to push a car uphill by applying a force up the slope and instead the car rolls down the hill you are doing negative work on the car.
What is zero work done?
Zero work is defined when force and displacement are perpendicular to one another and when force or displacement is zero. Example: The force acts in a downward direction, When displacement operates in the forward direction. If you push a wall, it doesn’t move there’s no work done.
What are the examples of zero work done?
5 examples of zero work
- If a block is moving on a smooth horizontal surface, no work is done.
- You are carrying two bags in your hands and not moving .
- A person holds a bundle of hay over his head for 30 minutes and gets tired.
- If you push a wall , but it does not move .
- You sit on a chair for hours .
Is work done if displacement is zero?
If the displacement of the object is zero, then one can calculate the work done by each individual force, the work done by each force is zero. Work is not defined in terms of what would have happened to the object in the absence of other forces; it is defined in terms of the motion that actually occurred.
When work done on a body is zero?
Zero work is done when the displacement of a body is zero or perpendicular (θ=900,cosθ=0) to the direction of force applied, then work done is zero. For example, if a person tries to push a wall, he is applying force yet the wall does not move, so the displacement of the wall is zero, and hence work done is zero.