Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 6, Problem 22P
Assume the resistive force acting on a speed skater is proportional to the square of the skater’s speed v and is given by f = −kmv2, where k is a constant and m is the skater’s mass. The skater crosses the finish line of a straight-line race with speed vi and then slows down by coasting on his skates. Show that the skater’s speed at any time t after crossing the finish line is v(t) = vi/(1 + ktvi).
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even low-powered cars can get up the hills without slowing down. A particular small car, with a mass of 920 kg, can accelerate on a level road from rest to 21m/s(75Km/h) in 12.5 s. Using these data, calculate the maximum steepness of a hill.
For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: net = −mkv2î, where k is a constant. The speed of the object after t = 0 is given by
v = vi/(1 + kvit).
(a) Find the position x of the object as a function of time. (Use the following as necessary: k, m, t, and vi.)x(t) =
(b) Find the object's velocity as a function of position. (Use the following as necessary: k, m, t, vi, and x.)
v(t)=
Imagine a skydiver with a mass of m jumping out of an
airplane at an altitude of h. As the skydiver descends,
they experience two forces: air resistance and gravity.
The force of air resistance varies with time and is
described by the following function, where t is the time
in seconds since t e skydiver has jumped: vec
2
(F)(t) = (0.5t)ha (x) + (0.11 +0.3t)hat(y) a) Create a
air
free body diagrar for the skydiver at t = 2 seconds. b)
-
What is the net for e acting on the skydiver at t = 2
seconds? c) What i the magnitude of the acceleration
of the skydiver at t = 2 seconds?
Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the
skydiver descends, they experience two forces: air resistance and gravity. The force of air
resistance varies with time and is described by the following function, where t is the time in
seconds since the skydiver has jumped:
Fair (t) = (0.5t)2 + (0.12 + 0.3t)ŷ
a) Create a free-body diagram for the skydiver at t = 2 seconds.…
Chapter 6 Solutions
Physics for Scientists and Engineers
Ch. 6.1 - You are riding on a Ferris wheel that is rotating...Ch. 6.2 - A bead slides at constant speed along a curved...Ch. 6.3 - Consider the passenger in the car making a left...Ch. 6.4 - A basketball and a 2-inch-diameter steel ball,...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - Why is the following situation impossible? The...
Ch. 6 - You are working during your summer break as an...Ch. 6 - A driver is suing the state highway department...Ch. 6 - A hawk flies in a horizontal arc of radius 12.0 m...Ch. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - A child of mass m swings in a swing supported by...Ch. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 21PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - Because the Earth rotates about its axis, a point...Ch. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Galileo thought about whether acceleration should...Ch. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - In Example 6.5, we investigated the forces a child...Ch. 6 - Review. A piece of putty is initially located at...Ch. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Because of the Earths rotation, a plumb bob does...Ch. 6 - You have a great job working at a major league...
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
- The only force acting on a 2.0-kg body moving along the x axis is given by Fx = 2x where force is measured in Newtons, N, and x is in meters. If the velocity of the object at x = 0 is +3.0 m/s, how fast is it moving at x = 2.0 m?arrow_forwardA speedboat weighing 644 lbs is powered by a constant force of 40 lbs. Friction between the boat and the water is negligible, but there is wind resistance proportional to the velocity of the boat and is 10 lbs. for a speed of 5 fps. Assuming the boat started from rest, find the speed after 10 sec.arrow_forwardA rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at the same height as the connection point between the rope and weight. The distance from the connection point to the ceiling is 30 ft. Suppose the worker stands directly next to the weight (.e., a total rope length of 60 ft) and begins to walk away at a constant rate of 2 ft/s. How fast is the weight rising when the worker has walked: 10 feet? Answer= 30 feet? Answerarrow_forward
- Problem 1: A nurse pushes a patient’s bed with a constant force of 30 N. If the bed has a mass of 100 kg and was initially at rest, how fast is the bed moving after 5 seconds? Problem 2: A young man was rushed to the operating room to treat several gunshot wounds. If a rib fracture requires a force of 3,200 N, does a bullet with a mass of 7.5 grams that strikes the rib with an deacceleration of 4.4x105 m/s2 have enough force to create the fracture? What is the force?arrow_forwardThree youths push a 40.0-kg block of ice so that it begins to coast on a frozen lake. With an initial speed Vi of 3.00 m/s, the block of ice now moves up an icy ramp at the edge of the lake. Neglecting air resistance and in the absence of any friction between the ice block and the frozen lake and ramp, use the CMEP to calculate how high up the ramp (h in the figure) the block of ice moves before stopping. As a suggestion, use the base of the ramp as GZ. 0.204 m 0.625 m 0.459 m 0.511 m 0.165 m 0.270 m O O Oarrow_forwardA 3 kg particle starts from rest and moves a distance of 4 m in 2 sec under the action of a single constant force. find the magnitude of the forcearrow_forward
- A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at the same height as the connection point between the rope and weight.The distance from the connection point to the ceiling is 35 feet.Suppose the worker stands directly next to the weight (i.e., a total rope length of 70 feet) and begins to walk away at a constant rate of 3 ft/s. How fast is the weight rising when the worker has walked a)10 feet? b)30 feet?arrow_forwardFor t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed v,. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet - - mkv? î, where k is a constant. The speed of the object after t = 0 is given by v = v;/(1 + kv,t). (a) Find the position x of the object as a function of time. (b) Find the object's velocity as a function of position.arrow_forwardSuppose a rocket is at an elevation of 100 km and has an initial velocity of 1.00 x 10^4 m/s directed vertically upward. If the rocket engines do not burn and no other force other than earth's gravity acts on the rocket, how far does it go?arrow_forward
- The only force acting on an object of mass 2.00 kg moving along the x-axis is shown in the figure. If the speed vx is +2.0 m / s at t = 0, what is the speed at t = 4.0 s?arrow_forwardA rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at the same height the connection point between the rope and weight. The distance from the connection point to the ceiling is 45 ft. Suppose the worker stands directly next to the weight (i.e., a total rope length of 90 ft) and begins to walk away at a constant rate of 4 ft/s. How fast is the weight rising when the worker has walked: 10 feet? Answer= 30 feet? Answer=arrow_forwardAn object of a mass of 2.5-kg is launched upwards, with an initial speed of 39 m/s. How fast is the object traveling after falling back to its original launch height? Assume that there is no air resistance.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Drawing Free-Body Diagrams With Examples; Author: The Physics Classroom;https://www.youtube.com/watch?v=3rZR7FSSidc;License: Standard Youtube License