Answer:
a)The approximate radius of the nucleus of this atom is 4.656 fermi.
b) The electrostatic force of repulsion between two protons on opposite sides of the diameter of the nucleus is 2.6527
Explanation:
![r=r_o\times A^{\frac{1}{3}}](https://tex.z-dn.net/?f=r%3Dr_o%5Ctimes%20A%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
= Constant for all nuclei
r = Radius of the nucleus
A = Number of nucleons
a) Given atomic number of an element = 25
Atomic mass or nucleon number = 52
![r=1.25 \times 10^{-15} m\times (52)^{\frac{1}{3}}](https://tex.z-dn.net/?f=r%3D1.25%20%5Ctimes%2010%5E%7B-15%7D%20m%5Ctimes%20%2852%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
![r=4.6656\times 10^{-15} m=4.6656 fm](https://tex.z-dn.net/?f=r%3D4.6656%5Ctimes%2010%5E%7B-15%7D%20m%3D4.6656%20fm)
The approximate radius of the nucleus of this atom is 4.656 fermi.
b) ![F=k\times \frac{q_1q_2}{a^2}](https://tex.z-dn.net/?f=F%3Dk%5Ctimes%20%5Cfrac%7Bq_1q_2%7D%7Ba%5E2%7D)
k=
= Coulombs constant
= charges kept at distance 'a' from each other
F = electrostatic force between charges
![q_1=+1.602\times 10^{-19} C](https://tex.z-dn.net/?f=q_1%3D%2B1.602%5Ctimes%2010%5E%7B-19%7D%20C)
![q_2=+1.602\times 10^{-19} C](https://tex.z-dn.net/?f=q_2%3D%2B1.602%5Ctimes%2010%5E%7B-19%7D%20C)
Force of repulsion between two protons on opposite sides of the diameter
![a=2\times r=2\times 4.6656\times 10^{-15} m=9.3312\times 10^{-15} m](https://tex.z-dn.net/?f=a%3D2%5Ctimes%20r%3D2%5Ctimes%204.6656%5Ctimes%2010%5E%7B-15%7D%20m%3D9.3312%5Ctimes%2010%5E%7B-15%7D%20m)
![F=9\times 10^9 N m^2/C^2\times \frac{(+1.602\times 10^{-19} C)\times (+1.602\times 10^{-19} C)}{(9.3312\times 10^{-15} m)^2}](https://tex.z-dn.net/?f=F%3D9%5Ctimes%2010%5E9%20N%20m%5E2%2FC%5E2%5Ctimes%20%5Cfrac%7B%28%2B1.602%5Ctimes%2010%5E%7B-19%7D%20C%29%5Ctimes%20%28%2B1.602%5Ctimes%2010%5E%7B-19%7D%20C%29%7D%7B%289.3312%5Ctimes%2010%5E%7B-15%7D%20m%29%5E2%7D)
![F=2.6527 N](https://tex.z-dn.net/?f=F%3D2.6527%20N)
The electrostatic force of repulsion between two protons on opposite sides of the diameter of the nucleus is 2.6527
Answer:
![v_x = 1.26 m/s](https://tex.z-dn.net/?f=v_x%20%3D%201.26%20m%2Fs)
Explanation:
given,
weight of swimmer = 510 N
length of ledge, L = 1.75 m
vertical height of the cliff, h = 9 m
speed of the swimmer = ?
horizontal velocity of the swimmer should be that much it can cross the wedge.
distance = speed x time
d = v_x × t
1.75 = v_x × t ........(1)
now,time taken by the swimmer to cover 9 m
initial vertical velocity of the swimmer is zero.
using equation of motion for time calculation
![s = ut +\dfrac{1}{2}gt^2](https://tex.z-dn.net/?f=s%20%3D%20ut%20%2B%5Cdfrac%7B1%7D%7B2%7Dgt%5E2)
![9= 0+\dfrac{1}{2}\times 9.8\times t^2](https://tex.z-dn.net/?f=9%3D%200%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%209.8%5Ctimes%20t%5E2)
t² = 1.938
t = 1.39 s
same time will be taken to cover horizontal distance.
now, from equation 1
1.75 = v_x × 1.39
![v_x = 1.26 m/s](https://tex.z-dn.net/?f=v_x%20%3D%201.26%20m%2Fs)
horizontal speed of the swimmer is equal to 1.26 m/s
Answer:
Formation. Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. ... When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material. At the center, gravity pulled more and more material in.
Explanation:
Work = Force x Distance = 500 x 4 = 2000 Nm = 2000 J
Answer:
Sorry I don't know the answer .Hope other help you.sorryyyyyyyy