Answer:
a) W = 6.75 J and b) v = 3.87 m / s
Explanation:
a) In the problem the force is nonlinear and they ask us for work, so we must use it's definition
W = ∫ F. dx
Bold indicates vectors. In a spring the force is applied in the direction of movement, whereby the scalar product is reduced to the ordinary product
W = ∫ F dx
We replace and integrate
W = ∫ (-60 x - 18 x²) dx
W = -60 x²/2 -18 x³/3
Let's evaluate between the integration limits, lower W = 0 for x = -0.50 m, to the upper limit W = W for x = 0 m
W = -30 [0- (-0.50) 2] -6 [0 - (- 0.50) 3]
W = 7.5 - 0.75
W = 6.75 J
b) Work is equal to the variation of kinetic energy
W = ΔK
W = ΔK = ½ m v² -0
v =√ 2W/m
v = √(2 6.75/ 0.90)
v = 3.87 m / s
This is related to the energy carried by photons of light the energy of each photon is proportional to the frequency of the light since red light has a lower frequency then violet light and photons of red light carry less energy than the photons of violet light as a result the red protons eject electrons that have less energy than the ejected electrons by Violet photons
Answer:
x ≈ 56 m
Explanation:
vertical initial velocity =
= 25 m/s* sin(30°)= 12.5 m/s
height = h
t- time is found solving quadratic equation.
horizontal velocity = 
Horizontal velocity is constant, so distance 
Answer:
The IR-A is the greatest energy per photon compare to that of IR-B.
Explanation:
Given that,
Wavelength of (IR-B)= 1400 nm
Wavelength of (IR-A)= 700 nm
We need to calculate the energy for IR-B
Using formula of energy
Put the value into the formula
The energy for IR-B is 
We need to calculate the energy for IR-A
Using formula of energy
Put the value into the formula
The energy for IR-B is 
Hence, The IR-A is the greatest energy per photon compare to that of IR-B.
