Yes, this is correct Answer.
<span>
At the Earth's surface, warm air expands and rises, creating
what is known as an area of low pressure.
Cold air is dense and sinks to the surface to create what is
known as an area of high pressure.</span>
Answer:
The magnitude of the force required to bring the mass to rest is 15 N.
Explanation:
Given;
mass, m = 3 .00 kg
initial speed of the mass, u = 25 m/s
distance traveled by the mass, d = 62.5 m
The acceleration of the mass is given as;
v² = u² + 2ad
at the maximum distance of 62.5 m, the final velocity of the mass = 0
0 = u² + 2ad
-2ad = u²
-a = u²/2d
-a = (25)² / (2 x 62.5)
-a = 5
a = -5 m/s²
the magnitude of the acceleration = 5 m/s²
Apply Newton's second law of motion;
F = ma
F = 3 x 5
F = 15 N
Therefore, the magnitude of the force required to bring the mass to rest is 15 N.
The mass of Mg-24 is 24.30506 amu, it contains 12 protons and 12 neutrons.
Theoretical mass of Mg-24:
The theoretical mass of Mg-24 is:
Hydrogen atom mass = 12 × 1.00728 amu = 12.0874 amu
Neutron mass = 12 x 1.008665 amu = 12.104 amu
Theoretical mass = Hydrogen atom mass + Neutron mass = 24.1913 amu
Note that the mass defect is:
Mass defect = Actual mass - Theoretical mass : 24.30506 amu- 24.1913 amu= 0.11376 amu
Calculating the binding energy per nucleon:
![\frac{B.E.}{nucleon}=\frac{(0.11376amu)(931Mev/amu}{24nucleons} = 4.41294 Mev/nucleon](https://tex.z-dn.net/?f=%5Cfrac%7BB.E.%7D%7Bnucleon%7D%3D%5Cfrac%7B%280.11376amu%29%28931Mev%2Famu%7D%7B24nucleons%7D%20%20%3D%204.41294%20Mev%2Fnucleon)
So approximately 4.41294 Mev/necleon
Answer:
F' = 64 F
Explanation:
The electric force between charges is given by :
![F=\dfrac{kq_1q_2}{r^2}](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7Bkq_1q_2%7D%7Br%5E2%7D)
Where
q₁ and q₂ are charges
r is the distance between charges
When each charge is doubled and the distance between them is 1/4 its original magnitude such that,
q₁' = 2q₁, q₂' = 2q₂ and r' = (r/4)
New force,
![F'=\dfrac{kq_1'q_2'}{r'^2}](https://tex.z-dn.net/?f=F%27%3D%5Cdfrac%7Bkq_1%27q_2%27%7D%7Br%27%5E2%7D)
Apply new values,
![F'=\dfrac{k\times 2q_1\times 2q_2}{(\dfrac{r}{4})^2}\\\\=\dfrac{k\times 4q_1q_2}{\dfrac{r^2}{16}}\\\\=64\times \dfrac{kq_1q_2}{r^2}\\\\=64F](https://tex.z-dn.net/?f=F%27%3D%5Cdfrac%7Bk%5Ctimes%202q_1%5Ctimes%202q_2%7D%7B%28%5Cdfrac%7Br%7D%7B4%7D%29%5E2%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bk%5Ctimes%204q_1q_2%7D%7B%5Cdfrac%7Br%5E2%7D%7B16%7D%7D%5C%5C%5C%5C%3D64%5Ctimes%20%5Cdfrac%7Bkq_1q_2%7D%7Br%5E2%7D%5C%5C%5C%5C%3D64F)
So, the new force becomes 64 times the initial force.