Dredging is what the inventor of this machine need to know while developing the machine.
Hope this helps!
Answer:
See explanation below.
Explanation:
For this case we atart fom the proportional model given by the following differential equation:
And if we rewrite this expression we got:
If we integrate both sides we got:
And using exponential on both sides we got:
Where represent the initial amount for the isotope and t the time in years and A the amount remaining.
If we want to apply a model for the half life we know that after some time definfd the amount remaining is the hal, so if we apply this we got:
We can cancel and we got:
If we solve for k we can apply natural log on both sides and we got:
And that would be our proportional constant on this case.
If we replace this value for k int our model we will see that:
And using properties of logs we can rewrite this like that:
And thats the common formula used for the helf life time.
Answer:
a)
b)
Explanation:
Given that
Charge = q
Magnetic filed = B
Radius = R
We know that kinetic energy KE
----------1
m v² = 2 .KE
The magnetic force F = q v B
Radial force
For uniform force these two forces should be equal
q v B R =m v²
q v B R = 2 .KE
Now put the velocity v in the equation
The answer is 21m because the motion is in one dimension with constant acceleration.
The initial velocity is 0, because it started from rest, the acceleration <span>ax</span> is <span>4.7<span>m<span>s2</span></span></span>, and the time t is <span>3.0s</span>
Plugging in our known values, we have
<span>Δx=<span>(0)</span><span>(3.0s)</span>+<span>12</span><span>(4.7<span>m<span>s2</span></span>)</span><span><span>(3.0s)</span>2</span>=<span>21<span>m</span></span></span>
Answer:
The force they will exert on each other is 1.6*10⁻¹⁰ N
Explanation:
The electromagnetic force is the interaction that occurs between bodies that have an electric charge. When the charges are at rest, the interaction between them is called the electrostatic force. Depending on the sign of the interacting charges, the electrostatic force can be attractive or repulsive. The electrostatic interaction between charges of the same sign is repulsive, while the interaction between charges of the opposite sign is attractive.
Coulomb's law is used to calculate the electric force acting between two charges at rest. This force depends on the distance "r" between the electrons and the charge of both.
Coulomb's law is represented by:
where:
- F = electric force of attraction or repulsion in Newtons (N). Like charges repel and opposite charges attract.
- k = is the Coulomb constant or electrical constant of proportionality.
- q = value of the electric charges measured in Coulomb (C).
- r = distance that separates the charges and that is measured in meters (m).
In this case:
- k= 9*10⁹
- q1= 1.602*10⁻¹⁹ C
- q2= 1.602*10⁻¹⁹ C
- r= 1.2*10⁻⁹ m
Replacing:
and solving you get:
F=1.6*10⁻¹⁰ N
<u><em>The force they will exert on each other is 1.6*10⁻¹⁰ N</em></u>