Question: An object moving in a liquid experiences a linear drag force: = (bv, direction opposite the motion), where b is a constant called the drag

An object moving in a liquid experiences a linear drag force:

An object moving in a liquid experiences a linear drag force:= (bv,

= (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 = 6phR, where h 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 v₀ through a liquid of viscosity h.

b. Water at 20^oC has viscosity h = 1.0 = 10^-3 N s/m². Suppose a 4.0-cm-diameter, 33 g ball is shot horizontally into a tank of 20^oC water. How long will it take for the horizontal speed to decrease to 50% of its initial value?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Visualize Solve a The horizontal velocity as a function of time is determined by ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Scientists and Engineers Questions!

Large objects have inertia and tend to keep movingNewtons first law. Life is very different for small microorganisms that swim through water. For them, drag forces are so large that they instantly...

An object moving in a liquid experiences a linear drag force: B = (bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant...

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...

In addition to the buoyant force, an object moving in a liquid experiences a linear drag force F drag = (bv, direction opposite the motion), where b is a constant. For a sphere of radius R, the drag...

Very small objects, such as dust particles, experience a linear drag force, = (bv, direction opposite the motion), where b is a constant. That is, the quadratic model of drag of Equation 6.15 fails...

Problem 1 Velocity (m/s) 5 3 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1 .8 Time (s) -2 -4 A light sphere is thrown upwards on a cliff at t = 0s, and experiences a significant drag force. The velocity-time graph...

Very small objects, such as dust particles, experience a linear drag force, D(vector) = (bv, direction opposite the motion), where b is a constant. That is, the quadratic model of drag of Equation...

Note: To simplify calculations, you may use g = 10 m/s in all problems.V =7.5 m/s Questions 2-4 refer to the following figure: B C - NWAVAN D velocity (m/s) 1. An object is thrown horizontally to the...

Predict the products of the following oxides with water: Na2O, BaO, CO2, N2O5, P4 O10, SO3. Write an equation for each of the reactions. Specify whether the oxides are acidic, basic, or amphoteric.

ws EX 16-17 Statement of cash flows OBJ. 5 The comparative balance sheet of Hirayama Industries Inc. for December 31, 2012 and 20Y1, is as follows: Cash.... Accounts receivable (net).. Inventories.....

Lee purchased a stock one year ago for $ 2 8 . The stock is now worth $ 3 0 , and the total return to Lee for owning the stock was 0 . 3 9 . What is the dollar amount of dividends that he received...

On January 1, Ocampo Corporation sold $360,000 of 10-year sinking fund bonds. The corporation expects to earn 9% on the sinking fund balance and is required to deposit $23,000 at the end of each year...

A charge of -3 x10 -6 C is placed at a point in space where the electric field is directed toward the right and has a magnitude of 8.5 x 10 4 N/C. What are the magnitude and direction of the...

A charge of +0.25 C is moved from a position where the electric potential is 10 V to a position where the electric potential is 60 V. What is the change in potential energy of the charge associated...

Four coulombs of positive charge flow from the +6 V positive terminal of a battery to the negative terminal at 0 V. What is the change in potential energy of the charge?

Step 1: Prepare journal entries to record the December transactions in the General Journal Tab in the excel template file "Accounting Cycle Excel Template xlsx". Use the following accounts as...

Match the scenario with the proper computational concept Compute the Mean to Compute the Median to Compute the Mode to Describe a single set of nom 9 pts [Choose] Describe the central location of a...

Calculate the trade discount (in $) and trade discount rate (as a %). Round your answer to the nearest tenth of a percent. List Price Trade Discount $2.89 $ Trade Discount Rate Net Price $2.14 Need...