Physics for Scientists and Engineers, Volume 1, Chapters 1-22
8th Edition
ISBN: 9781439048382
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 9, Problem 9.7P
A girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity υgp to the right relative to the plank. (The subscript gp denotes the girl relative to plank.) (a) What is the velocity υpi of the plank relative to the surface of the ice? (b) What is the girl’s velocity it υpi relative to the ice surface?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
This is a two-part problem.
A rocket, fired from rest at time t = 0, has an initial mass of m0 (including fuel). Assuming the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by
m0 - kt. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity v of the rocket will satisfy the equation m(dv/dt) = ck - mg. In this equation, g is the acceleration due to gravity.
I) Find v(t) keeping in mind that the mass m is a function of t.
II) Suppose that the fuel accounts for 70% of the initial mass of the rocket and that all of the fuel is consumed at
130 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted.
Help please
A ball of mass 179 g is thrown with an initial velocity of 25 m/s at an angle of 30° with the horizontal direction. Ignore air resistance. What is the momentum of the ball after 0.8 s? (Do this problem by finding the components of the momentum first and then constructing the magnitude and direction of the momentum vector from the components. Find the magnitude in kg · m/s and the direction in degrees counterclockwise from the +x-axis. Assume the +x-axis points horizontally to the right.)
magnitude _____ kg · m/s
direction ______ ° counterclockwise from the +x-axis
Chapter 9 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
Ch. 9 - Two objects have equal kinetic energies. How do...Ch. 9 - Your physical education teacher throws a baseball...Ch. 9 - Two objects are at rest on a frictionless surface....Ch. 9 - Rank an automobile dashboard, seat belt, and air...Ch. 9 - In a perfectly inelastic one-dimensional collision...Ch. 9 - A table-tennis ball is thrown at a stationary...Ch. 9 - A baseball bat of uniform density is cut at the...Ch. 9 - A cruise ship is moving at constant speed through...Ch. 9 - You are standing on a saucer-shaped sled at rest...Ch. 9 - Prob. 9.2OQ
Ch. 9 - A massive tractor is rolling down a country road....Ch. 9 - A 2-kg object moving to the right with a speed of...Ch. 9 - A 5-kg cart moving to the right with a speed of 6...Ch. 9 - A 57.0-g tennis ball is traveling straight at a...Ch. 9 - The momentum of an object is increased by a factor...Ch. 9 - The kinetic energy of an object is increased by a...Ch. 9 - If two particles have equal momenta, are their...Ch. 9 - If two particles have equal kinetic energies, are...Ch. 9 - A 10.0-g bullet is fired into a 200-g block of...Ch. 9 - Two particles of different mass start from rest....Ch. 9 - Two particles of different mass start from rest....Ch. 9 - A basketball is tossed up into the air, falls...Ch. 9 - A 3-kg object moving to the right on a...Ch. 9 - A ball is suspended by a string that is tied to a...Ch. 9 - A car of mass m traveling at speed v crashes into...Ch. 9 - A head-on, elastic collision occurs between two...Ch. 9 - An airbag in an automobile inflates when a...Ch. 9 - In golf, novice players are often advised to be...Ch. 9 - An open box slides across a frictionless, icy...Ch. 9 - While in motion, a pitched baseball carries...Ch. 9 - Prob. 9.5CQCh. 9 - A sharpshooter fires a rifle while standing with...Ch. 9 - Two students hold a large bed sheet vertically...Ch. 9 - A juggler juggles three balls in a continuous...Ch. 9 - (a) Does the center of mass of a rocket in free...Ch. 9 - On the subject of the following positions, state...Ch. 9 - Prob. 9.11CQCh. 9 - Prob. 9.12CQCh. 9 - A bomb, initially at rest, explodes into several...Ch. 9 - A particle of mass m moves with momentum of...Ch. 9 - An object has a kinetic energy of 275 J and a...Ch. 9 - At one instant, a 17.5-kg sled is moving over a...Ch. 9 - A 3.00-kg particle has a velocity of...Ch. 9 - A baseball approaches home plate at a speed of...Ch. 9 - A 45.0-kg girl is standing on a 150-kg plank. Both...Ch. 9 - A girl of mass mg is standing on a plank of mass...Ch. 9 - A 65.0-kg boy and his 40.0-kg sister, both wearing...Ch. 9 - In research in cardiology and exercise physiology,...Ch. 9 - When you jump straight up as high as you can, what...Ch. 9 - Two blocks of masses m and 3m are placed on a...Ch. 9 - A man claims that he can hold onto a 12.0-kg child...Ch. 9 - An estimated force-time curve for a baseball...Ch. 9 - Review. After a 0.300-kg rubber ball is dropped...Ch. 9 - A glider of mass m is free to slide along a...Ch. 9 - In a slow-pitch softball game, a 0.200-kg softball...Ch. 9 - The front 1.20 m of a 1 400-kg car Ls designed as...Ch. 9 - A tennis player receives a shot with the ball...Ch. 9 - The magnitude of the net force exerted in the x...Ch. 9 - Review. A force platform is a tool used to analyze...Ch. 9 - Water falls without splashing at a rate of 0.250...Ch. 9 - A 1 200-kg car traveling initially at vCi = 25.0...Ch. 9 - A 10.0-g bullet is fired into a stationary block...Ch. 9 - A car of mass m moving at a speed v1 collides and...Ch. 9 - A railroad car of mass 2.50 104 kg is moving with...Ch. 9 - Four railroad cars, each of mass 2.50 104 kg, are...Ch. 9 - A neutron in a nuclear reactor makes an elastic,...Ch. 9 - A 7.00-g bullet, when fired from a gun into a...Ch. 9 - A tennis ball of mass 57.0 g is held just above a...Ch. 9 - As shown in Figure P9.30, a bullet of mass m and...Ch. 9 - A 12.0-g wad of sticky clay is hurled horizontally...Ch. 9 - A wad of sticky clay of mass m is hurled...Ch. 9 - Prob. 9.33PCh. 9 - (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0...Ch. 9 - A 0.300-kg puck, initially at rest on a...Ch. 9 - Prob. 9.36PCh. 9 - An object of mass 3.00 kg, moving with an initial...Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - A proton, moving with a velocity of vii, collides...Ch. 9 - A billiard ball moving at 5.00 m/s strikes a...Ch. 9 - A 90.0-kg fullback running east with a speed of...Ch. 9 - An unstable atomic nucleus of mass 17.0 10-27 kg...Ch. 9 - The mass of the blue puck in Figure P9.44 is 20.0%...Ch. 9 - Prob. 9.45PCh. 9 - The mass of the Earth is 5.97 1024 kg, and the...Ch. 9 - Explorers in the jungle find an ancient monument...Ch. 9 - A uniform piece of sheet metal is shaped as shown...Ch. 9 - A rod of length 30.0 cm has linear density (mass...Ch. 9 - A water molecule consists of an oxygen atom with...Ch. 9 - A 2.00-kg particle has a velocity (2.00. 3.00)...Ch. 9 - Consider a system of two particles in the xy...Ch. 9 - Romeo (77.0 kg) entertains Juliet (55.0 kg) by...Ch. 9 - The vector position of a 3.50-g particle moving in...Ch. 9 - A ball of mass 0.200 kg with a velocity of 1.50...Ch. 9 - Prob. 9.56PCh. 9 - A particle is suspended from a post on top of a...Ch. 9 - A 60.0-kg person bends his knees and then jumps...Ch. 9 - Figure P9.59a shows an overhead view of the...Ch. 9 - A model rocket engine has an average thrust of...Ch. 9 - A garden hose is held as shown in Figure P9.32....Ch. 9 - Review. The first stage of a Saturn V space...Ch. 9 - A rocket for use in deep space is to be capable of...Ch. 9 - A rocket has total mass Mi = 360 kg, including...Ch. 9 - Prob. 9.65APCh. 9 - An amateur skater of mass M is trapped in the...Ch. 9 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 9 - (a) Figure P9.36 shows three points in the...Ch. 9 - Review. A 60.0-kg person running at an initial...Ch. 9 - A cannon is rigidly attached to a carriage, which...Ch. 9 - A 1.25-kg wooden block rests on a table over a...Ch. 9 - A wooden block of mass M rests on a table over a...Ch. 9 - Two particles with masses m and 3m are moving...Ch. 9 - Pursued by ferocious wolves, you are in a sleigh...Ch. 9 - Two gliders are set in motion on a horizontal air...Ch. 9 - Why is the following situation impossible? An...Ch. 9 - Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg...Ch. 9 - Prob. 9.78APCh. 9 - A 0.400-kg blue bead slides on a frictionless,...Ch. 9 - A small block of mass mt = 0.500 kg is released...Ch. 9 - Review. A bullet of mass m = 8.00 g is fired into...Ch. 9 - Review. A bullet of mass m is fired into a block...Ch. 9 - A 0.500-kg sphere moving with a velocity expressed...Ch. 9 - A 75.0-kg firefighter slides down a pole while a...Ch. 9 - George of the Jungle, will mass m, swings on a...Ch. 9 - Review. A student performs a ballistic pendulum...Ch. 9 - Review. A light spring of force constant 3.85 N/m...Ch. 9 - Prob. 9.88APCh. 9 - A 5.00-g bullet moving with an initial speed of i...Ch. 9 - Review. There are (one can say) three coequal...Ch. 9 - A 2.00-g particle moving at 8.00 m/s makes a...Ch. 9 - Prob. 9.92CPCh. 9 - Two particles with masses m and 3m are moving...Ch. 9 - Sand from a stationary hopper falls onto a moving...Ch. 9 - On a horizontal air track, a glider of mass m...Ch. 9 - Review. A chain of length L and total mass M is...
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
- A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?arrow_forwardFind the center of mass of a cone of uniform density that has a radius R at the base, height h, and mass M. Let the origin be at the center of the base of the cone and have +z going through the cone vertex.arrow_forwardA ball of mass 191 g is thrown with an initial velocity of 25 m/s at an angle of 30° with the horizontal direction. Ignore air resistance. What is the momentum of the ball after 0.6 s? (Do this problem by finding the components of the momentum first and then constructing the magnitude and direction of the momentum vector from the components. Find the magnitude in kg · m/s and the direction in degrees counterclockwise from the +x-axis. Assume the +x-axis points horizontally to the right.) V = (25 m/s)û 30° magnitude kg · m/s direction ° counterclockwise from the +x-axisarrow_forward
- A hammer of mass m = 0.455 kg is moving horizontally at a velocity of v = 4.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 1.2 cm into a board. What is the duration of the impact, assuming the acceleration is constant during this time period, in terms of the given variables? What was the average force exerted on the nail, in terms of the mass, initial velocity, and distance traveled? What was the average force, in newtons, exerted on the nail?arrow_forwardA 2 kg block is moving at v= 3 m/s along a frictionless table and collides with a second 2 kg block that is initially at rest. After the collision, the two blocks stick together and then slide up a 45∘frictionless inclined plane a)Calculate the maximum distance LL that the two blocks travel up the incline.arrow_forward2.3. A train car is sitting on a level track when a second car moves in. The second car hits the first, their hitches engage, and they move together. Both cars have equal masses of about 120 000 kg, and the second car initially has a velocity of 1.5 m/s. (a) Draw a diagram that illustrates the situation and include an arrow representing the velocity vector of the second car and a separate arrow representing ĉ, the unit vector for the coordinate system along the tracks. (b) Write vector expressions for both the velocity and momentum of the second car using at least two forms of vector notation that have been covered in class. (c) Just before the collision, what is the velocity of the center of mass of the system that includes both cars? Again, express this as a vector. (d) Just before the collision, what is the total kinetic energy of the system that includes both cars?arrow_forward
- Consider a rocket that is in deep space and at rest relative to an inertial reference frame. The rocket's engine is to be fired for a certain interval. What must be the rocket's mass ratio (ratio of initial to final mass) over that interval if the rocket's final speed relative to the inertial frame is to be equal to (a) the exhaust speed (speed of the exhaust products relative to the rocket) and (b) 3.00 times the exhaust speed? (The exhaust products from the rocket escape at a constant velocity relative to the rocket) (a) Number i Units (b) Number i Unitsarrow_forwardIsaac (whose mass is 70 kg) is taking a nap in the front of his 100-kg boat, which is floating at rest in a lake. After waking up, he's thirsty and heads toward the cooler in the back of his boat. (1) If he walks with a speed of 2 m/s (relative to the ground), what is the boat's velocity (relative to the ground) while he's walking? (2) What is the boats' velocity (relative to the ground) if he walks with a 2 m/s speed relative to the boat?arrow_forwardConsider a rocket that is in deep space and at rest relative to an inertial reference frame.The rocket’s engine is to be fired for a certain interval.What must be the rocket’s mass ratio (ratio of initial to final mass) over that interval if the rocket’s original speed relative to the inertial frame is to be equal to (a) the exhaust speed (speed of the exhaust products relative to the rocket) and (b) 2.0 times the exhaust speed?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Momentum | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=DxKelGugDa8;License: Standard YouTube License, CC-BY