Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 75AP
Two objects, A and B, are connected by hinges to a rigid rod that has a length L. The objects slide along perpendicular guide rails as shown in Figure P2.40. Assume object A slides to the left with a constant speed v. (a) Find the velocity vB of object B as a function of the angle θ. (b) Describe vB relative to v. Is vB always smaller than v, larger than v, or the same as v, or does it have some other relationship?
Figure P2.40
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Motion with gravity Neglecting air resistance, the motion of an objectmoving vertically near Earth’s surface is determined by the acceleration due to gravity, which is approximately 9.8 m/s2. Suppose a stone is thrown vertically upward at t = 0 with a velocity of 40 m/s from the edge of a cliff that is 100 m above a river.a. Find the velocity ν(t) of the object, for t ≥ 0.b. Find the position s(t) of the object, for t ≥ 0.c. Find the maximum height of the object above the river.d. With what speed does the object strike the river?
A rocket starts from rest and moves upward from the surface of the earth. For the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay= (2.80 m/s^3)t, where the +y direction is upward. a) What is the height of the rocket above the surface of the earth at t = 10.0 s? b) What is the speed of the rocket when it is 325 m above the surface of the earth?
The position of a particle in the xy-plane at time t is r(t) = (e¹) 1 + (40 e²¹) ₁.
particle. Then find the particle's velocity and acceleration vectors at t = In 7.
The equation for the path of the particle is y=
j. Find an equation in x and y whose graph is the path of the
Chapter 2 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are officers in the highway patrol more interested...Ch. 2.4 - Make a velocitytime graph for the car in Figure...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which one of the following statements is true? (a)...Ch. 2.6 - In Figure 2.12, match each vxt graph on the top...Ch. 2.7 - Consider the following choices: (a) increases, (b)...Ch. 2 - Prob. 1OQCh. 2 - A racing car starts from rest at t = 0 and reaches...Ch. 2 - Prob. 3OQ
Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 5OQCh. 2 - Prob. 6OQCh. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - Prob. 8OQCh. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - Prob. 10OQCh. 2 - Prob. 11OQCh. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A pebble is released from rest at a certain height...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - Prob. 17OQCh. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - If the average velocity of an object is zero in...Ch. 2 - Prob. 2CQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - (a) Can the velocity of an object at an instant of...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Position, Velocity, and Speed The position versus...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A particle moves according to the equation x =...Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - Prob. 6PCh. 2 - A positiontime graph for a particle moving along...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - Prob. 21PCh. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - Prob. 24PCh. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - Prob. 26PCh. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - A truck covers 40.0 m in 8.50 s while smoothly...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - Prob. 31PCh. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - Prob. 33PCh. 2 - Why is the following situation impossible?...Ch. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A glider of length moves through a stationary...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Prob. 41PCh. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - A student drives a moped along a straight road as...Ch. 2 - The speed of a bullet as it travels down the...Ch. 2 - Prob. 60APCh. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - Prob. 62APCh. 2 - Prob. 63APCh. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - Prob. 65APCh. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - An elevator moves downward in a tall building at a...Ch. 2 - Prob. 68APCh. 2 - Prob. 69APCh. 2 - Prob. 70APCh. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Prob. 72APCh. 2 - Prob. 73APCh. 2 - Prob. 74APCh. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Prob. 76APCh. 2 - Prob. 77APCh. 2 - Prob. 78APCh. 2 - Prob. 79APCh. 2 - Prob. 80APCh. 2 - Prob. 81CPCh. 2 - Prob. 82CPCh. 2 - In a womens 100-m race, accelerating uniformly,...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - Prob. 85CP
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 projectile is fired from point O at the edge of a cliff, as shown in figure 1, with an initial velocity components v0x = 60.0 m/s and v0y = 175 m/s. The projectile rises and then falls into the sea at point P. The time of flight of the projectile (the time it spends in the air) is 40.0s and the projectile experiences no appreciable air resistance in flight. a) Find the height of the cliff. b) Find the speed of the projectile just before it hits the water at point P.arrow_forwardPlease answer f and g.arrow_forwardIn the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat Kobe as a particle and let ymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle. Hint: Find v0 to reach y_max in terms of g and y_max and recall the velocity at y_max is zero. Then find v1 to reach y_max/2 with the same kinematic equation. The time to reach y_max is obtained from v0=g (t), and the time to reach y_max/2 is given by v1-v0= -g(t1). Now, t1 is the time to reach y_max/2, and the quantity t-t1 is the time to go from y_max/2 to y_max. You want the ratio of (t-t1)/t1 Note from Asker: I am generally confused on how to manipulate the formulas, so if you could show every step that would be great, Thank You. Part A Part complete To explain why…arrow_forward
- Consider a particle moving along the x-axis with acceleration a(t) = 2t and an initial velocity, v(0) = -2. a. Find the displacement of the particle from t = 0 to t = 4. (2 points) The displacement of the particle is units. Round your answer to the nearest thousandth if necessary. b. Find the total distance traveled by the particle from t = 0 to t = 4. The total distance traveled by the particle is units. Round your answer to the nearest thousandth if necessary.arrow_forwardThe eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 0 as a product of its speed and direction. What is the velocity vector? v(t) = (D i+ (Di+ karrow_forwardThe displacement of particle #1 is r1(t) = 2i-5tj and the displacement of particle #2 is r2(t) = -4ti + 4tj. Find v12, the relative velocity of particle1 with respect to particle2. You must sketch a graph to illustrate your result.arrow_forward
- Consider the a person holding a vacuum cleaner (idealized as Bar AB). The point where the person holds the handle (point A) is constrained to move along the vertical and has a velocity of 0.12 m/s downwards and is increasing its speed at a constant rate of 0.4 m/s2. This is in order to move the tail end (Point B) of the cleaner. The tail end of the ceaner has a velocity of 0.0840 m/s to the right and the vacuum cleaner has a angular velocity of 0.0586 rad/s. VA 0.521 rad/s2 0.1929 rad/s2 0.498 rad/s2 0.270 rad/s2 2.5 m 35° VB B 4. Which of the following is the best approximation of the magnitude of the angular acceleration of the vacuum cleaner (Bar AB)? owing is the best approximation of the magnitude of the accelerationarrow_forwardPlease answer this, I need help.arrow_forwardSuppose we are told that the acceleration a of a particle moving with uniform speed ν in a circle of radius r is proportional to some power of r, say rn, and some power of ν, say νm. Determine the values of n and m and write the simplest form of an equation for the acceleration.arrow_forward
- An object slides on a flat, frictionless surface. At t = 0 s, it is at position x i= 0.1 m, with a velocity v i x= 0.1 m/s, subject to an acceleration a x= 1.6 m/s2. At t= ? s , the object's velocity is v x= 2.7 m/s and its position is x m. Find the object's position in meters at time t. You may or may not need to solve for the time in order to do this. The system will not recognize units, so do not attempt to enter them. The system is also not good with significant figures, so round to one decimal place at the end.arrow_forwardA student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns south and walks at a speed of v2 = 0.53 m/s. Take north to be the positive direction. If the student travels in the stated directions for 30.0 seconds at speed v1 and for 20.0 seconds at speed v2, what is the net displacement, in meters, during the trip? If it takes the student 5.0 s to reach the speed v1 from rest, what is the magnitude of the student’s average acceleration, in meters per second squared, during that time?arrow_forwarda) What is the distance it travelled during 2 seconds?b) In what direction did it ravel (angle with the positive x-axis)? c) What is the acceleration vector of this particle?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY