Consider a wave exhibiting simple harmonic oscillation with a period of 6 s. If 4 s after the wave begins it exhibits a displacement of 0.5 m, what is the amplitude of the wave

A = 1.0m

Explanation:

In order to calculate the amplitude of the wave you take into account the general formula for a simple harmonic motion, which is given by:

      (1)

A: amplitude

x: position = 0.5m

t: time = 4s

w: angular frequency of the wave

You calculate the angular frequency of the wave by using the information about the period of the wave:

Next, you solve the equation (1) for A, and replace the values of the other parameters:

You take the absolute value of the amplitude.

The amplitude of the wave is 1.0 m

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

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