Answered: Find the particle's horizontal position…

Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag force is expressed as Edrag = kmy

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 86P: Find the terminal velocity of a spherical bacterium (diameter 2.00m ) falling in water. You will...

See similar textbooks

Related questions

Q: A diver springs upward from a board that is 4.80 m above the water. At the instant she contacts the…

A: Given: h = 48 mθ=77.5ov = 14.3 m/swe have to find vo and θo

Q: Problem Like friction, drag force opposes the motion of a particle in a fluid; however, drag force…

Q: Problem Find the particle's horizontal position x(t) and velocity vx) at any point in a fluid whose…

A: Suppose a particle is going with speed v0 and at some region, it encounters a drag force (Fdrag)…

Q: What is the terminal velocity of a 130 kg skydiver (including the person with equipment) falling…

Q: Problem Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose…

A: Solution: a) To solve the position as the function of time x(t), we construct the net force in the…

Q: Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag…

A: The net force in the X-direction can be given as, Here, the minus sign represents that drag force…

Q: Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag…

A: Given quantities: Fdrag = kmv , mass = m , velocity = v at t = 0 , v = v0 Let, the acceleration…

Q: man is floating on an air mattress in a swimming pool. a) Draw two FBDs, one for the man and one for…

Q: "O. Jason takes off across level water on his jet-powered skis. The combined mass of Jason and his…

Q: Find the particle's haricontal position a() and velocity va) at any point in a fluid whose drag…

A: Given, free body diagram: Drag force, Fd=-kmv k = constant m = mass v = velocity At t = 0 s, v=v0…

Q: At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three…

A: According to Lami's theorem: ASin α = BSin β = CSin γ

Q: Problem Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose…

A: Drag force of fluid at any point is expressed as Fdrag=kmv Where k is a constant, m is the mass of…

Q: Problem Find the particle's horizontal position x(t) and velocity vx) at any point in a fluid whose…

Q: The terminal velocity of a person falling in air depends upon the weight and the area of the person…

A: Given, Mass of the skydiver, m = 85.0 kg surface area, a = 0.170 m2 density of air, ρ = 1.21 kgm3…

Q: The terminal velocity of a person falling in air depends upon the weight and the area of the person…

A: Given information: The mass of the person (m) = 92 kg The effective surface area of the person (A) =…

Q: Calculate the ratio of the drag force on a jet flying at 878 km/h at an altitude of 9.8 km to the…

A: We know drag force=>D=0.5CρAv2 where C is a constant and ρ is density A is area and v is velocity…

Q: A bullet shot underwater will experience "viscous drag" and follow this velocity equation:…

Q: 15 A81 kg skydiver can be modeled as a rectangular "bax with dimensions 18 cm x 35 cm x 180 cm. If…

A: We know that Drag force is D = 1/2*density*v2*C*A Where C is the Drag coeffecientW = m*gAt terminal…

Q: A contestant in a winter sporting event pulls an m kg block of ice across a frozen lake by applying…

Q: A block with twice the density of water is at rest on the bottom of a container partially filled…

Q: major must continuously exert 1.16 ✕ 102 N of force to insert a dry steel piston as it slides into a…

A: For part a coefficient of friction is 0.6 For part b the co-efficient of friction between dry…

Q: B22 A body moving through air at a high speed e experiences a retarding force F given by F = kApe"…

A: F = k×A×ρ×vxWriting the dimensions of each variable on both sides : (MLT-2) = (L2) ×(ML-3)×(LT-1)x…

Q: Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag…

A: Given information: The mass of the particle = m The initial velocity of the particle = v0 The drag…

Q: 01. The total aerodynamic force F acting on the airplane has a magnitude of 6250 lb. Resolve this…

A: Magnitude of net force F = 6250 lb Angle of net force with vertical A = 6° Angle with horizontal B =…

Q: 2. What are the magnitudes of drag forces at 70 km/h and 100 km/h for a Chevy Malibu? (Drag area is…

A: Solution:- Given V1=70 km/h V2=100 km/h Drag coefficient for a Chevy Malibu CD=0.29…

Q: Problem Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose…

A: Given data: Drag force is expressed as: Fdrag=kmv where, k is the constant, m is the mass of the…

Q: The terminal velocity of a person falling in air depends upon the weight and the area of the person…

A: Given value--- mass = 75.5 kg. surface area = 0.170 m2 . density of air= 1.21 kg/m2 . coefficient…

Q: The terminal velocity of a person falling in air depends upon the weight and the area of the person…

A: Given The mass of the skydiver is m = 84 kg. The surface area of the skydiver is A =0.150 m2. The…

Q: A 5.5 kg block is pulled along a horizontal floor by a force of magnitude N at an angle of 0 = 30°…

A: We know that newton's second law which defines the force on an object is the product of the mass and…

Q: A fish is swimming through water at a terminal velocity (constant maximum velocity) of 0.5 m/s…

A: At terminal velocity, the net force is equal to zero. Fnet=Fpush-Fdrag0=Fpush-FdragFpush=Fdrag The…

Q: Problem Like friction, drag force opposes the motion of a particle in a fluid; however, drag force…

Q: A car engine with a given weight of w, is suspended in air by a cable that is connected to a…

A: Given: The weight of the engine is w. The tension in the cable is T1.

Q: e force F exerted on such a window as the plane flies at 25500 ft above the sea level. Ss00 G

A: Solution

Q: The terminal velocity of a person falling in air depends upon the weight and the area of the person…

Q: What is the terminal speed of a 7.11 kg spherical ball that has a radius of 1.69 cm and a drag…

A: Given value--- mass = 7.11 kg. radius = 1.69 cm. drag coefficient = 1.38 density of air = 1.20…

Q: The terminal velocity of a person falling in air depends upon the weight and the area of the person…

Q: Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag…

A: Drag force of fluid at any point is expressed as Fdrag = kmv where k is a constant m is the mass of…

Q: d) Figure Q1(d) shows streamlines representing the flow of air over the wing of a plane. Which of…

Q: *84. When an object moves through a fl uid, the fl uid exerts a viscous forceFBon the object that…

A: By stoke's Law, F=6πηRv where η is the viscocity of the liquid/fluid. Given: a) R=5.0x10-4 m , speed…

Q: Calculate the ratio of the drag force on a jet flying at 1020 km/h at an altitude of 9.5 km to the…

A: Write the given values using a suitable variable. Here v1 signifies velocity at 9.5 km, p1…

Q: Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag…

A: Consider a particle initially moving with speed v0 encounters a drag force Fdrag.

Concept explainers

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

Question

Find the particle's horizontal position x(t) and
velocity v(x) at any point in a fluid whose
drag force is expressed as
Edrag = kmy

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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.

Similar questions

Do fluids exert buoyant forces in a “weightless" environment, such as in the space shuttle? Explain your answer.
Prove the sped of an incompressible fluid through a constriction, such as a Venturi tube, increases by a factor equal to the square of the factor by which the diameter decreases. (The converse applies for flow out of a constriction into a larger-diameter region.)
Find the terminal velocity of a spherical bacterium (diameter 2.00m ) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10103kg/m3 .
Water is shot nearly vertically upward in a decorative fountain and the steam observed to broaden as it rises. Conversely, a stream of water falling straight down from a faucet narrows. Explain why.
A spherical particle falling at a terminal speed in a liquid must have the gravitational force balanced by the drag force and the buoyant force. The buoyant force is equal to the weight of the displaced fluid, while the drag force is assumed to be given by Stokes Law:Fd = 6πRηv,where R is the radius of the object, η is the coefficient of viscosity in the fluid, and v is the terminal speed. a) Give the equation for terminal speed in the variables from Stokes law, and the densities of the sphere ρs and the fluid ρ1. b) Using the equation of the previous step, find the viscosity of motor oil (in kg/m/s) in which a steel ball of radius 0.95 mm falls with a terminal speed of 4.34 cm/s. The densities of the ball and the oil are 7.7 and 0.72 g/mL, respectively.
In regions far from the entrance, fluid flow througha circular pipe is one dimensional, and the velocity profile forlaminar flow is given by u(r) = umax(1 - r 2/R2), where R isthe radius of the pipe, r is the radial distance from the center ofthe pipe, and umax is the maximum flow velocity, which occursat the center. Obtain (a) a relation for the drag force applied bythe fluid on a section of the pipe of length L and (b) the valueof the drag force for water flow at 20°C with R 5 0.08 m,L = 30 m, umax = 3 m/s, and m = 0.0010 kg/m?s.
If the net volume of fluid that passes through a surface per unit time in the positive direction is zero, then the velocity of the fluid is everywhere tangent to the surface?true or fals
Air flows horizontally with a speed of 105 km/h over a house that has a flat roof of area 21.5 m2. Find the magnitude of the net force on the roof due to the air inside and outside the house. The density of air is 1.30 kg/m3, and the thickness of the roof is negligible.
The terminal velocity of a copper of ball 2 milimiter falling through a tank of oil is 6.5cm/s . Determine the viscocity of oil if it's density is 1.5×103and the density of copper is 8.9*103kg/m3
A worker uses high-pressure water to clean the inside of a long drainpipe. If the water is discharged with an initial velocity v0 of 11.5 m/s, determine (a) the distance d to the farthest point B on the top of the pipe that the worker can wash from his position at A, (b) the corresponding angle a.
An object is released from rest while immersed within a fluid. The terminal speed of the object is measured to be 8.34 m/s. What was the speed of the object 1.551 s after being released? Let the resistive force be given by R = -bv (Assume that the gravitational force also acts)
A stream of water gushes from an open pipe at an angle of 15o from the horizontal. If water comes out of the pipe at a speed of 15 m/s, how far from the pipe will the water land?