The electrical force between two charges is given by
![F=k \frac{q_1 q_2}{r^2}](https://tex.z-dn.net/?f=F%3Dk%20%5Cfrac%7Bq_1%20q_2%7D%7Br%5E2%7D%20)
where
k is the Coulomb's constant
q1 and q2 are the two charges
r is the distance between the two charges
We see that the magnitude of the force is inversely proportional to the square of the distance. Therefore, if the distance is increased to 3 times the original distance:
![r'=3 r](https://tex.z-dn.net/?f=r%27%3D3%20r)
the magnitude of the force will change as
![F' \sim \frac{1}{(3r)^2}= \frac{1}{9 r^2} = \frac{1}{9} F](https://tex.z-dn.net/?f=F%27%20%5Csim%20%20%5Cfrac%7B1%7D%7B%283r%29%5E2%7D%3D%20%5Cfrac%7B1%7D%7B9%20r%5E2%7D%20%3D%20%20%5Cfrac%7B1%7D%7B9%7D%20F%20%20)
So, the correct answer is <span>
it will decrease to one-ninth the original force.</span>
Answer;
B. Paleomagnetism
Explanation;
- Paleomagnetism is the study of the record of the Earth's magnetic field in rocks, sediment, or archeological materials. Certain minerals in rocks lock-in a record of the direction and intensity of the magnetic field when they form.
-Magnetic studies revealed that the ocean floor was comprised of parallel bands of crust having alternating magnetic polarity.These magnetic bands were symmetric about the mid-oceanic ridge.
-The explanation of magnetic striping by paleomagnetism convinced scientists that new oceanic crust was being continually formed at mid-oceanic ridges. Seafloor spreading was accepted as a reality.
Answer: The gravitational force Fg exerted on the orbit by the planet is Fg = G 4/3πr3rhom/ (R1 + d+ R2)^2
Explanation:
Gravitational Force Fg = GMm/r2----1
Where G is gravitational constant
M Mass of the planet, m mass of the orbit and r is the distance between the masses.
Since the circular orbit move around the planet, it means they do not touch each other.
The distance between two points on the circumference of the two massesb is given by d, while the distance from the radius of each mass to the circumferences are R1 and R2 from the question.
Total distance r= (R1 + d + R2)^2---2
Recall, density rho =
Mass M/Volume V
Hence, mass of planet = rho × V
But volume of a sphere is 4/3πr3
Therefore,
Mass M of planet = rho × 4/3πr3
=4/3πr3rho in kg
From equation 1 and 2
Fg = G 4/3πr3rhom/ (R1 + d+ R2)^2
1. The plant breaks down into bits
2. A dead plant falles to the ground
3 The bits become part of soil
The value of the acceleration is 0.76 m/s² and the total time taken by the vehicle is 39 seconds.
<h3>Acceleration of the vehicle</h3>
The acceleration of the vehicle before coming to rest is calculated as follows;
v² = u² + 2as
where;
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- s is the distance traveled before stopping
the car came to rest with constant velocity attained after 12 seconds.
the initial velocity of the car before 12 seconds is zero.
v² = 0 + 2as
a = v²/2s
a = (10²)/(2 x 66)
a = 0.76 m/s²
<h3>Time of motion of the vehicle</h3>
d = ut + ¹/₂at²
where;
- d is the total distance traveled
- t is the time of motion
- a is acceleration
- u is initial velocity of the vehicle
580 = 0 + ¹/₂(0.76)t²
580 = 0.38t²
t² = 580/0.38
t² = 1,526.3
t = √1,526.3
t = 39 seconds
Thus, the value of the acceleration is 0.76 m/s² and the total time taken by the vehicle is 39 seconds.
Learn more about time of motion here: brainly.com/question/2364404
#SPJ1