Answer:
On the standing waves on a string, the first antinode is one-fourth of a wavelength away from the end. This means
This means that the relation between the wavelength and the length of the string is
By definition, this standing wave is at the third harmonic, n = 3.
Furthermore, the standing wave equation is as follows:
The bead is placed on x = 0.138 m. The maximum velocity is where the derivative of the velocity function equals to zero.
For this equation to be equal to zero, sin(59.94t) = 0. So,
This is the time when the velocity is maximum. So, the maximum velocity can be found by plugging this time into the velocity function:
Calcium has 2 valence electrons
The bicyclist accelerates with magnitude <em>a</em> such that
25.0 m = 1/2 <em>a</em> (4.90 s)²
Solve for <em>a</em> :
<em>a</em> = (25.0 m) / (1/2 (4.90 s)²) ≈ 2.08 m/s²
Then her final speed is <em>v</em> such that
<em>v</em> ² - 0² = 2<em>a</em> (25.0 m)
Solve for <em>v</em> :
<em>v</em> = √(2 (2.08 m/s²) / (25.0 m)) ≈ 10.2 m/s
Convert to mph. If you know that 1 m ≈ 3.28 ft, then
(10.2 m/s) • (3.28 ft/m) • (1/5280 mi/ft) • (3600 s/h) ≈ 22.8 mi/h
Explanation:
The increase in the body temperature of pronghorn, the fastest North American animal, results from the chemical energy of the pronghorn converting into kinetic energy with efficiency less than 100%. The remaining energy is converted into heat energy. Thus, raising the temperature of pronghorn.
Due to the chemical energy it gains both kinetic and heat energy.
Q= mcΔT
Where Q is heat or energy
M is mass, c is heat capacitance and t is temperature
You have to convert Celsius into kelvin in order to use this formula I believe
Celsius + 273 = Kelvin
21 + 273 = 294K
363 + 273 = 636K
Now...
Q= (0.003)(0.129)(636-294)
Q= 0.132 J if you are using kilograms, in terms of grams which seems more appropriate the answer would be 132J of energy.
