An Object moving in a liquid experiences a linear drag force: D= (bv, direction opposite the motion), where b is constant called
the drag coefficient. For a sphere of radius R, the drag constant can be computed as b = 6πηR, where η is the viscosity of the liquid.
a. Use what you've learned in calculus to prove that
ax= vx . dvx/dx
b. Find an algebraic expression for , Vx (x) the x-component of velocity as a funtion of distance traveled, for a spherical particle of radius R and mass m that is shot horizontally with initial speed Vo through a liquid viscosity η.
c. Water at 20°C has viscosity η= 1.0 x 10^-3 Ns/m^2.Suppose a 1.0-cm-diameter, 1.0 g marble is shot horizontally into a tank of 20°C water at 10 cm/s. How far will it travel before stopping?
a. Use what you've learned in calculus to prove that
ax= vx . dvx/dx
b. Find an algebraic expression for , Vx (x) the x-component of velocity as a funtion of distance traveled, for a spherical particle of radius R and mass m that is shot horizontally with initial speed Vo through a liquid viscosity η.
c. Water at 20°C has viscosity η= 1.0 x 10^-3 Ns/m^2.Suppose a 1.0-cm-diameter, 1.0 g marble is shot horizontally into a tank of 20°C water at 10 cm/s. How far will it travel before stopping?
1 answer:
You might be interested in
The electric potential difference is the electric potential energy per unit charge
Explanation:
First of all, we define the concept of electric potential. The electric potential is a measure of the gradient of the electric field at a certain point of the space. The electric potential at a distance from a positive charge of magnitude
is given by
where k is the Coulomb's constant.
Now we can define the electric potential energy and the electric potential difference:
- Electric potential energy is the energy possessed by a charge due to the presence of an electric field. For a charge of magnitude
immersed in an electric field, its potential energy is given by
, where V is the electric potential at the location of the charge.
- The electric potential difference is simply the difference in electric potential between two points in the space. For instance, if the potential at point A is V(A) and the potential at point B is V(B), then the potential difference is
The electric potential energy is also defined as the work done on a charge q moved through a potential difference of . Consequently, the potential difference
represents the work per unit charge done, i.e. the work done when moving a unitary charge through a potential difference
.
Learn more about potential difference and current:
#LearnwithBrainly