Answer: The drag force goes up by a factor of 4
Explanation:
The <u>Drag Force</u> equation is:
(1)
Where:
is the Drag Force
is the Drag coefficient, which depends on the material
is the density of the fluid where the bicycle is moving (<u>air in this case)
</u>
is the transversal area of the body or object
the bicycle's velocity
Now, if we assume
,
and
do not change, we can rewrite (1) as:
(2)
Where
groups all these coefficients.
So, if we have a new velocity
, which is the double of the former velocity:
(3)
Equation (2) is written as:
(4)
Comparing (2) and (4) we can conclude<u> the Drag force is four times greater when the speed is doubled.</u>
First one, holding a basketball in the air. Potential energy is the energy it has mostly from gravity. The further you go from the center of mass, the more energy.
Answer:
Increasing its charge
Increasing the field strength
Explanation:
For a charged particle moving in a circular path in a uniform magnetic field, the centripetal force is provided by the magnetic force, so we can write:
![qvB = m\frac{v^2}{r}](https://tex.z-dn.net/?f=qvB%20%3D%20m%5Cfrac%7Bv%5E2%7D%7Br%7D)
where
q is the charge
v is the velocity
B is the magnetic field
m is the mass
r is the radius of the orbit
The period of the motion is
![T=\frac{2\pi r}{v}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%5Cpi%20r%7D%7Bv%7D)
Re-arranging for r
![r=\frac{Tv}{2\pi}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BTv%7D%7B2%5Cpi%7D)
And substituting into the previous equation
![qvB = m \frac{Tv^3}{2\pi}](https://tex.z-dn.net/?f=qvB%20%3D%20m%20%5Cfrac%7BTv%5E3%7D%7B2%5Cpi%7D)
Solving for T,
![T=\frac{2\pi q B}{m v^2}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%5Cpi%20q%20B%7D%7Bm%20v%5E2%7D)
So we see that the period is:
- proportional to the charge and the magnetic field
- inversely proportional to the mass and the square of the speed
So the following will increase the period of the particle's motion:
Increasing its charge
Increasing the field strength
Any process in which a mixture of materials separates out partially
14 m/s or 50km/h. See the details in the attached picture.