Why is there a 1/2 in the elastic energy formula?

Since this line forms the hypotenuse of a triangle, the area (and thus kinetic energy) is 1/2 * base * height, where the base is the velocity, and the height is momentum, or mv. Hence K = 1/2(v)(mv) = 1/2mv^2.

What is the equation 1 2kx 2?

Other than Hooke’s Law, the equation for the potential energy function, U=1/2kx^2, is essentially used when determining the spring potential energy.

Why is there a 1/2 in the drag equation?

The half 12 that also appears in the equation, is – as others also point out – due to the drag coefficient Cd being neatly written as Cd=DAq, where q=12ρv2 is the dynamic pressure, an important aerodynamic property.

What is the equation for kinetic energy?

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

Is kinetic energy always 1 2mv 2?

How do you solve EPE?

Energy stored in a spring

  1. Work is done when a spring is extended or compressed . Elastic potential energy is stored in the spring.
  2. The elastic potential energy stored can be calculated using the equation:
  3. elastic potential energy = 0.5 × spring constant × (extension) 2

How do you calculate eel?

How to calculate the potential energy of a spring

  1. Determine the spring constant k .
  2. Decide how far you want to stretch or compress your spring.
  3. Substitute these values to the spring potential energy formula: U = ½kΔx2 .
  4. Calculate the energy.

Where can I find viscous drag?

Fs = 6πrηv, where r is the radius of the object, η is the viscosity of the fluid, and v is the object’s velocity.

Why does a pendulum come to a stop?

The pendulum stops eventually because of air resistance. The pendulum loses energy because of friction. Only in a theoretical situation when there is no friction the pendulum will oscillate forever.

How do you use the half and double method?

Using the half and double method, we can halve one side of the multiplication as long as we double the other – and the answer remains the same. So,

How to multiply mixed numbers with fractions?

How to Multiply Mixed Numbers with Fractions 1 Convert the mixed numbers to improper fractions 2 Use the algebraic formula for multiplying of fractions: a/b 3 c/d = ac / bd 4 Reduce fractions and simplify if possible See More….

What is the function of the multiply fractions calculator?

The multiply fractions calculator will multiply fractions and reduce the fraction to its simplest form. Click the blue arrow to submit.

What is 34×5 using the half and double method?

Using the half and double method, we can halve one side of the multiplication as long as we double the other – and the answer remains the same. 34 x 5 =? But after using the half and double method it becomes: