An object moving in a liquid experiences a linear drag force: F → d r a g = ( bv , direction opposite the motion), where b is a constant called the drag coefficient . For a sphere of radius R , the drag constant can be computed as b = 6p?R , where ? is the viscosity of the liquid. a. Find an algebraic expression for v x ( t ), the x -component of velocity as a function of time, for a spherical particle of radius R and mass m that is shot horizontally with initial speed v 0 through a liquid of viscosity ? . b. Water at 20°C has viscosity ? = 1.0 × 10-3 N s/m 2 . Suppose a 4.0-cm-diameter, 33 g ball is shot horizontally into a tank of 20°C water. How long will it take for the horizontal speed to decrease to 50% of its initial value?
An object moving in a liquid experiences a linear drag force: F → d r a g = ( bv , direction opposite the motion), where b is a constant called the drag coefficient . For a sphere of radius R , the drag constant can be computed as b = 6p?R , where ? is the viscosity of the liquid. a. Find an algebraic expression for v x ( t ), the x -component of velocity as a function of time, for a spherical particle of radius R and mass m that is shot horizontally with initial speed v 0 through a liquid of viscosity ? . b. Water at 20°C has viscosity ? = 1.0 × 10-3 N s/m 2 . Suppose a 4.0-cm-diameter, 33 g ball is shot horizontally into a tank of 20°C water. How long will it take for the horizontal speed to decrease to 50% of its initial value?
An object moving in a liquid experiences a linear drag force:
F
→
drag = (bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant can be computed as b = 6p?R, where ? is the viscosity of the liquid.
a. Find an algebraic expression for vx(t), the x-component of velocity as a function of time, for a spherical particle of radius R and mass m that is shot horizontally with initial speed v0through a liquid of viscosity ?.
b. Water at 20°C has viscosity ? = 1.0 × 10-3 N s/m2. Suppose a 4.0-cm-diameter, 33 g ball is shot horizontally into a tank of 20°C water. How long will it take for the horizontal speed to decrease to 50% of its initial value?
Which of the following best describes how to calculate the average acceleration of
any object?
Average acceleration is always halfway between the initial acceleration of an
object and its final acceleration.
Average acceleration is always equal to the change in velocity of an object
divided by the time interval.
Average acceleration is always equal to the displacement of an object divided by
the time interval.
Average acceleration is always equal to the change in speed of an object divided
by the time interval.
The figure shows the velocity versus time graph for a car driving on a straight road.
Which of the following best describes the acceleration of the car?
v (m/s)
t(s)
The acceleration of the car is negative and decreasing.
The acceleration of the car is constant.
The acceleration of the car is positive and increasing.
The acceleration of the car is positive and decreasing.
The acceleration of the car is negative and increasing.
Which figure could represent the velocity versus time graph of a motorcycle
whose speed is increasing?
v (m/s)
v (m/s)
t(s)
t(s)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.