Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 2, Problem 2.54P
A potato of mass 0.5 kg moves under Earth’s gravity with an air resistive force of −kmv. (a) Find the terminal velocity if the potato is released from rest and k = 0.01 s−1. (b) Find the maximum height of the potato if it has the same value of k, but it is initially shot directly upward with a student-made potato gun with an initial velocity of 120 m/s.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A block of mass m = 3.5 kg, initially moving at a speed of v_{1} = 12m / s to the right on a horizontal frictionless surface, is acted on by a variable horizontal force F as follows: For the first 10 s, F = 10N to the right; for the next 5 <= F =25* to the left; and for the last 8 <= F = 15N to right. Find the velocity of the block at the end of the 23-s interval.
A 2.0-kg object has a velocity of 4.0i ^ m/s at t = 0. A constant resultant force of (2.0i ^ + 4.0j ^ ) N then acts on the object for 3.0 s. What is the magnitude of the object’s velocity at the end of the 3.0-s interval?
Find the kinetic energy for two masses, m1=(64±3)Kg and m2=(136±4)Kg, traveling together at a velocity v=(5.0±1.5)m/s.
Hint: the equation for kinetic energy is E = 1/2mv^2, where m is the total mass (m1+m2).
Chapter 2 Solutions
Classical Dynamics of Particles and Systems
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - If a projectile is fired from the origin of the...Ch. 2 - A clown is juggling four balls simultaneously....Ch. 2 - A jet fighter pilot knows he is able to withstand...Ch. 2 -
In the blizzard of ’88, a rancher was forced to...Ch. 2 - Prob. 2.7PCh. 2 - A projectile is fired with a velocity 0 such that...Ch. 2 - Consider a projectile fired vertically in a...Ch. 2 - Prob. 2.11P
Ch. 2 - A particle is projected vertically upward in a...Ch. 2 -
A particle moves in a medium under the influence...Ch. 2 - A projectile is fired with initial speed 0 at an...Ch. 2 -
A particle of mass m slides down an inclined...Ch. 2 - A particle is projected with an initial velocity 0...Ch. 2 - A strong softball player smacks the ball at a...Ch. 2 - Prob. 2.19PCh. 2 - A gun fires a projectile of mass 10 kg of the type...Ch. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - A skier weighing 90 kg starts from rest down a...Ch. 2 - A block of mass m = 1.62 kg slides down a...Ch. 2 - A child slides a block of mass 2 kg along a slick...Ch. 2 - A rope having a total mass of 0.4 kg and total...Ch. 2 - A superball of mass M and a marble of mass m are...Ch. 2 - An automobile driver traveling down an 8% grade...Ch. 2 - A student drops a water-filled balloon from the...Ch. 2 - Prob. 2.31PCh. 2 - Two blocks of unequal mass are connected by a...Ch. 2 - A particle is released from rest (y = 0) and falls...Ch. 2 - Perform the numerical calculations of Example 2.7...Ch. 2 - Prob. 2.36PCh. 2 - A particle of mass m has speed υ = α/x, where x is...Ch. 2 - The speed of a particle of mass m varies with the...Ch. 2 - A boat with initial speed υ0 is launched on a...Ch. 2 - A train moves along the tracks at a constant speed...Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Consider a particle moving in the region x > 0...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - According to special relativity, a particle of...Ch. 2 - Let us make the (unrealistic) assumption that a...Ch. 2 - A particle of mass m moving in one dimension has...Ch. 2 - A potato of mass 0.5 kg moves under Earth’s...Ch. 2 - Prob. 2.55P
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
- Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,arrow_forwardIf the velocity of a body is halved its kinetic energy ________________. A) become 4 times B) becomes 1/4 th C) is also doubled D) becomes halfarrow_forwardA block of mass 0.2 kg is launched by a spring k1= 2.0 N/m. The block moves along a frictionless horizontal table and pushes another spring, k2 = 2.3 N/m , to the maximum deflection x. If the initial deflection of the spring k1 is 0.050 m, what is the maximum deflection of spring k2? Consider that the masses of the springs are negligible.arrow_forward
- Prove that the kinetic energy of an object of mass m and momentum p can be expressed as:arrow_forwardA particle of mass m slides down an inclined plane under the influence of gravity. If the motion is resisted by a force f = kmυ2, show that the time required to move a distance d after starting from rest is where θ is the angle of inclination of the plane.arrow_forwardFind the escape speed of a projectile from the surface of Mars.arrow_forward
- A ball having mass m falls from a tower with height h from the ground. The velocity of the ball satisfies the following relationship: m dv/dt = -mg; v(0), If y is the height of the ball from the ground, then y' = v. Neglect the air resistance and show that the time when the ball hits the surface is t= √2h/garrow_forwardA ball of mass 160 g is dropped from a height 1.5 m and bounces off the floor with a velocity 3.0 m/s [Up]. If the average Force on the ball from the floor is 15 N [up], for how long is the ball in contact with the floor in milliseconds?arrow_forwardif the velocity of the water is 2 m/s, the equivalent energy/mass of water due to velocity is approximately: A: 1 J/kg B: 2 J/kg C: 10 J/kg D: 20 J/kgarrow_forward
- You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass mm is fired vertically upward into the bottom of the block. The spring's maximum compression dd is measured from its initial suspended position. Find an expression for the bullet's speed vB. Express your answer in terms of the variables mmm, M, k, d, and constant g What was the speed of a 15 gg bullet if the block's mass is 2.0 kg and if the spring, with k = 55 N/mN/m, was compressed by 47 ccm? Express your answer in meters per second to two significant figures.arrow_forwardA ball of mass m falls freely from the ground at height h and touches a spring of height h0. The coefficient of the spring is k. Find the length of the ball compressed and how long it takes for the ball's speed to become zero and how long it takes for the ball to return to height h0.arrow_forwardProfessional golfers can drive the ball over 200 m. While air resistance is significant, its effects are nearly canceled because lift is gained from backspin on the ball, and so a reasonable description of the ball’s trajectory is obtained if air resistance is neglected. Suppose a golfer hits a ball 200 m on level ground, giving it an initial velocity at an angle of 45o. The duration of the impact of the club and ball has been measured to be 1.00 ms. c) Find the average force exerted by the club on the ball. d) Find the average shear deformation of the club's 0.800 m long and 1.00 cm diameter steel shaft.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Mechanical work done (GCSE Physics); Author: Dr de Bruin's Classroom;https://www.youtube.com/watch?v=OapgRhYDMvw;License: Standard YouTube License, CC-BY