Answer:
Electromagnetic wave has longer wavelength.
Explanation:
The velocity (v) of a wave is the product between frequency (f) and wavelength (λ):
(1)
Electromagnetic waves travel on air near the velocity of light , and sound waves travel on air at approximately
, so if the frequency is equal for both, and the velocity is directly proportional to wavelength as shown in (1) then higher velocities imply higher wavelengths, that is, electromagnetic wave has longer wavelength.
Answer:
y = 150 Km
Explanation:
given,
Distance of the planet Mars from earth D = 2.11 × 10¹¹ m
The diameter of the telescope's objective lens d = 0.949 m
The wavelength of light λ = 553 nm
= 553 x 10⁻⁹ m
resolution of the telescope = ?
y = 150003 m
y = 150 Km
the minimum feature size is equal to y = 150 Km
Answer:
No, he will not make it.
Explanation:
The equations for the position of the burglar during the jump are as follows:
r = (x0 + v0x · t, y0 + 1/2 · g · t²)
Where:
r = position vector of the burglar at time t
x0 = initial horizontal position
v0x = initial horizontal velocity
t = time
y0 = initial vertical position
g = acceleration due to gravity
When the burglar reaches the rooftop of the lower building, his vector position will be "r final" (see the attached figure), taking as the center of the frame of reference the jumping point. As you can see in the figure, the vector "r final" is:
r final = (8.0 m, -3.0 m)
The x-component of the vector "r final" can be calculated using the equation of the vector r, above:
x = x0 + v0x · t (x0 = 0)
8.0 m = v0x · t
In the same way with the y-component:
y = y0 + 1/2 · g · t² (y0 = 0)
-3.0 m = -1/2 · 9.8 m/s² · t²
We can calculate the horizontal velocity since we know that the burglar can run 100 m in 10,8 s. Then, his velocity will be:
v = x/t
Where: v = velocity, x = position, t = time.
v = 100 m / 10.8 s = 9.26 m/s
Now, we can calculate the time of flight of the burglar with the equation for the x-component of the vector position.
8.0 m = v0x · t
8.0 m = 9.26 m/s · t
t = 8.0 m / 9.26 m/s
t = 0.86 s
Now, let´s see what is the y-component of the vector position at that time:
y = 1/2 · g · t²
y = 1/2 · (-9.8 m/s²) · (0.86 s)²
y = -3.62 m
See in the figure the vector "r real" that will be the position of the burglar if he jumps running at that velocity. His position will be r = (8.0m, -3.62 m). He will miss the edge of the other roof by 0.62 m.
