Answer:
P = n P₀ 4.9 10¹⁴ Pa
Explanation:
The radiation pressure for full absorption is
P = S / c
Where S the pointing vector, which is equal to the intensity of the beam that is defined as the energy per unit area per unit time
The energy of the protons can be calculated
Em = K = ½ m v²
Area
A = π r²
Intensity is
I = n ½ m v² / π r²
I = ½ n m /π v² / r²
We replace
S = U / t A
S = ½ n m /π v² / r² Δt
The pressure is
P = 1/c (½ n m /π (v / r Δt)²2
Δt = 45 10⁻⁹ s
P = n [½ m /πc (v/r)²] 4.9 10¹⁴
The amount in square brackets is the pressure that a proton creates, which is why it is useful
P = n P₀ 4.9 10¹⁴ Pa
Where Po is the pressure created by a proton
Answer: v = 2.53 m/s at E 53.1° S
Explanation:
Conservation of momentum
The 400 g object has no North-South velocity, so the initial momentum in that direction is zero. The total momentum after collision must also be zero
0 = 400(8sin35) + 650vy
vy = -2.82376... m/s
In the East direction
400(10) = 400(8cos35) + 650vx
vx = 2.121097...m/s
v = √(2.12² + 2.82²) = 3.531667... ≈ 2.53 m/s
θ = arctan(vy/vx) = arctan(-2.82/2.12) = -53.087... ≈ E53.1°S
The wavelength of the given wave is calculated through the equation,
λ = c/v
where λ is the wavelength,
c is the speed of light, equal to 3x10⁸ m/s, and
v is the frequency
Then, we substitute the known values to the equation,
λ = (3 x 10⁸ m/s)/(1280 x 10³/s)
λ = 234.375 m
The wavelength of the "am" radio station is 234.38 m.
Answer:
The speed of the light signal as viewed from the observer is c.
Explanation:
Recall the basic postulate of the theory of relativity that the speed of light is the same in ALL inertial frames. Based on this, the speed of light is independent of the motion of the observer.