Answer:
Explanation:
Let the initial speed be u . final speed = 0
v² = u² - 2gh
v is final speed , u is initial speed , h is height .
0 = u² - 2g x 134
u² = 2 x 9.8 x 134
u = 51.25 m /s .
Setting reference frame so that the x axis is along the incline and y is perpendicular to the incline
<span>X: mgsin65 - F = mAx </span>
<span>Y: N - mgcos65 = 0 (N is the normal force on the incline) N = mgcos65 (which we knew) </span>
<span>Moment about center of mass: </span>
<span>Fr = Iα </span>
<span>Now Ax = rα </span>
<span>and F = umgcos65 </span>
<span>mgsin65 - umgcos65 = mrα -------------> gsin65 - ugcos65 = rα (this is the X equation m's cancel) </span>
<span>umgcos65(r) = 0.4mr^2(α) -----------> ugcos65(r) = 0.4r(rα) (This is the moment equation m's cancel) </span>
<span>ugcos65(r) = 0.4r(gsin65 - ugcos65) ( moment equation subbing in X equation for rα) </span>
<span>ugcos65 = 0.4(gsin65 - ugcos65) </span>
<span>1.4ugcos65 = 0.4gsin65 </span>
<span>1.4ucos65 = 0.4sin65 </span>
<span>u = 0.4sin65/1.4cos65 </span>
<span>u = 0.613 </span>
Answer:
1. decreases
2. inverse proportionality
3. 1 A
Explanation
Just did it
Answer:
The blue light has the highest energy.
Explanation:
Body that is hot enough emits light as consequence of its temperature. For example, an iron bar in contact with fire will start to change colors as the temperature increases until it gets to a blue color. That its know as Wien's displacement law, which establishes that the peak of emission for the spectrum will be displaced to shorter wavelengths as the temperature increases.
The same scenario described above can be found in the star, a star with higher temperature will have a blue color and one with lower temperature will have a red color.
(1)
The energy of each wavelength can be determined by means of the following equation:
(2)
but , therefore:
(3)
Where h is the planck's constant and is the frequency.
Notice that it is necessary to express the frequency in units of meters for a better representation of the energy.
⇒
⇒
Case for the bluest light:
Case for the reddest light:
Equation 3 show that if the wavelength is lower the energy will be greater (inversely proportional).
Hence, according with the result and what was explained above, the blue light has the highest energy.
Answer:
The position and velocity of the ball
Explanation:
For example, the formula for horizontal distance is
x = v₀t cosθ
The formula for the vertical component of velocity is
v = v₀ sinθ - gt
Thus, both the position and the velocity of the ball change with time.
Horizontal acceleration is zero. Vertical acceleration is constant (a = -g). They do not change with time.