Concept explainers
An object moving in a liquid experiences a linear drag force:
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?
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- (a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we conclude A=B ? Why or why not?arrow_forwardA baseball diamond consists of four plates arranged in a square. Each side of the square is 90 ft (27.43 m) long. Use an x y coordinate system with the origin at the center of the diamond as shown in Figure P3.18. a. What is the position of each plate in this system? b. What is the distance from home plate to second base?arrow_forwardThe International Space Station (ISS) experiences an acceleration due to the Earths gravity of 8.83 m/s2. What is the orbital period of the ISS?arrow_forward
- For each of the following velocity vectors, give the vector component, the scalar component, and the magnitude. a. v=35.0jm/s b. vx = 53.0 m/s c. vz = 3.50 m/s d. v=5.30m/sarrow_forwardOften, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.arrow_forwardA man drops a rock into a well. (a) The man hears the sound of the splash 2.40 s after he releases the rock from rest. The speed of sound in air (at the ambient temperature) is 336 m/s. How far below the top of the well is the surface of the water? (b) What If? If the travel time for the sound is ignored, what percentage error is introduced when the depth of the well is calculated?arrow_forward
- B A small block slides at a speed V on a horizontal surface. Determine the angle e at which it will leave the cylindrical surface BCD. Gravity acceleration is g. Neglect friction and air resistance. DEarrow_forwarda. Calculate the acceleration (in m/s2) of a skier heading down a 11.1° slope, assuming the coefficient of friction for waxed wood on wet snow. b. Find the angle (in degrees) of the slope down which this skier could coast at a constant velocity. (You can neglect air resistance, and you will find the equation for the acceleration of any object down an incline where fk = μkN, a = g(sin(θ) − μk cos(θ)), to be useful.)arrow_forwardA cylindrical container is being filled with water at a rate of 10π cubic meters per minute. The radius of the base is 20 meters while the height of the container is 20 meters. How fast does the water rise in the container?A lifeguard needs to get to the opposite end of a circular pool with a radius of r. He swims with a speed v and runs at speed 2v. What is the minimum travel time for the lifeguard in terms of r and v?arrow_forward
- a.) A soccer player kicks a rock horizontally off a 30 m high cliff into a pool of water. If the player hears the sound of the splash 2.64 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. b.) If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.64 s after kicking the rock?arrow_forwardn object starts from origin att%3D0 moves along the x- axis. the velocity of the object as a function of time is shown in the in following figure. Find the average velocity of the object between t%3D0S and t= 2s 4.0 v(m/s) 0 1 2 34 5 6 t(s)arrow_forwardIn the Soapbox Derby, young participants build nonmotorized cars with very lowfriction wheels. Cars race by rolling down a hill. The track at Akron’s Derby Downs, where the national championship is held, begins with a 55-ft-long section tilted 13° below horizontal.a. What is the maximum possible acceleration of a car moving down this stretch of track?b. If a car starts from rest and undergoes this acceleration for the full 55 ft, what is its final speed in m/s?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning