Answer:
3.75 m/s
Explanation:
Given:
v = 2.75 m/s
a = -0.50 m/s²
t = 2.0 s
Find: v₀
v = at + v₀
2.75 m/s = (-0.50 m/s²) (2.0 s) + v₀
v₀ = 3.75 m/s
Answer:
On the surface of Mars:
Mass, m = 3.47 kg
Weight, W' = 13.186 N
Solution:
As per the question:
Acceleration due to gravity at the surface of Mars, g' = 
Weight of book on the Earth's surface, W = 34 N
Now,
We know that:
Weight, W = mg
where
m = mass of the body
a = acceleration due to gravity on the earth's surface = 
Thus the mass of the body on the surface of the earth, m:

<em>Also, we know that mass is constant and it is the weight of the body that varies with the acceleration due to gravity.</em>
Now,
Mass of the body on the surface of Mars will be same and is equal to m = 3.47 kg
Weight of the book on the surface of Mars, W' = mg'

Answer:
The answer to your question is given below
Explanation:
From the question given above, we can see that the wave with a higher frequency has a shorter wavelength while that with a lower frequency has a longer wavelength. This is so because the frequency and wavelength of a wave has inverse relationship. This can further be explained by using the following formula:
Velocity = wavelength x frequency
Divide both side by wavelength
Frequency = Velocity /wavelength
Keeping the velocity constant, we have:
Frequency ∝ 1 / wavelength
From the above illustration, we can see clearly that the frequency and wavelength are in inverse relationship. This implies that the higher the frequency, the shorter the wavelength and the shorter the frequency, the higher the wavelength.
Answer:
First Question

Second Question
The wavelength is for an X-ray
Explanation:
From the question we are told that
The width of the wall is 
The first excited state is
The ground state is 
Gnerally the energy (in MeV) of the photon emitted when the proton undergoes a transition is mathematically represented as
![E = \frac{h^2 }{ 8 * m * l^2 [ n_1^2 - n_0 ^2 ] }](https://tex.z-dn.net/?f=E%20%20%20%3D%20%20%20%5Cfrac%7Bh%5E2%20%7D%7B%208%20%2A%20m%20%20%2A%20%20l%5E2%20%5B%20n_1%5E2%20-%20n_0%20%5E2%20%5D%20%7D)
Here h is the Planck's constant with value 
m is the mass of proton with value 
So
![E = \frac{( 6.626*10^{-34})^2 }{ 8 * (1.67 *10^{-27}) * (10 *10^{-15})^2 [ 2^2 - 1 ^2 ] }](https://tex.z-dn.net/?f=E%20%20%3D%20%20%20%5Cfrac%7B%28%206.626%2A10%5E%7B-34%7D%29%5E2%20%7D%7B%208%20%2A%20%281.67%20%2A10%5E%7B-27%7D%29%20%20%2A%20%20%2810%20%2A10%5E%7B-15%7D%29%5E2%20%5B%202%5E2%20-%201%20%5E2%20%5D%20%7D)
=> 
Generally the energy of the photon emitted is also mathematically represented as

=> 
=> 
=> 
Generally the range of wavelength of X-ray is 
So this wavelength is for an X-ray.