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:
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Answer: 2.92 s
Explanation:
Given
Mass of ball is
The initial velocity of the ball is
Velocity after the rebound is
Force during the contact is
We know, change in momentum is Impulse
Thus, the force is applied for 2.92 s