Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 40AP
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
a) At what height above the ground does the projectile have a speed of 0.5v0?
Express your answer in terms of v and g. You may or may not use all of these quantities.
b) What is the speed of the object at the height of (1/2)hmax?
Express your answer in terms of v and g. You may or may not use all of these quantities.
Consider the motion of a baseball. It has an initial position
(Xo Yo) = (0,3.5) feet when it is hit at an angle of 60° with an initial
speed of 78 ft/s. Assume the x-axis is horizontal, the positive y-axis
is vertical, the ground is horizontal, and only the gravitational force acts
on the object.
a. Find the velocity and position vectors, for t≥ 0.
b. Determine the time of flight and range of the object.
c. Determine the maximum height of the object.
a. The velocity vector is v(t) =, for t≥ 0.
The position vector is r(t) = ([ for t≥ 0.
b. The projectile remains in the air for
(Round to two decimal places as needed.)
seconds.
The projectile travels feet.
(Round to two decimal places as needed.)
c. The maximum height of the object is feet.
(Round to two decimal places as needed.)
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 - Which of the following choices best describes what...Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are officers in the highway patrol more interested...Ch. 2.5 - Make a velocitytime graph for the car in Figure...Ch. 2.5 - If a car is traveling eastward and slowing down,...Ch. 2.6 - Which one of the following statements is true? (a)...Ch. 2.7 - In Figure 2.12, match each vxt graph on the top...Ch. 2.8 - Consider the following choices: (a) increases, (b)...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A particle moves according to the equation x =...
Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 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 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Why is the following situation impossible?...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - You are observing the poles along the side of the...Ch. 2 - Prob. 25PCh. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - Prob. 31PCh. 2 - A student drives a moped along a straight road as...Ch. 2 - Automotive engineers refer to the time rate of...Ch. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Prob. 38APCh. 2 - Hannah tests her new sports car by racing with...Ch. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Prob. 41APCh. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - In a womens 100-m race, accelerating uniformly,...
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_forwardsolve the two problems plsarrow_forwardA student is late for a test! She takes her motorcycle to get to school, but sees that a bridge on the way is washed out. She decides to try leaping it with her motorcycle. The side the motorcycle is on is 18.2 m above the river, whereas the opposite side is a mere 8.10 m above the river. The river itself is a raging torrent 26.0 m wide. How fast must she be going to make it safely across? Use projectile motion, and assume the initial speed is purely horizontal. Edit Format Table 12pt v Paragraph BIU A✓ ✓ T² v ⠀arrow_forward
- Please answer f and g.arrow_forwardJames grows the bacteria in his lab and notices that when grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 20 μm/s. The figure shoes the trajectory of an E. Coli as it moves from point A to point E. Each segment of the motion can be identified by two letters, such as segment BC. a) For each of the four segments in the bacterium’s trajectory, calculate the x- and y- components of its displacement and of its velocity. b) Calculate both the total distance traveled and the magnitude of the net displacement for the entire motion. c) What are the magnitude and the direction of the bacterium’s average velocity for the entire trip? (SHOW ALL WORK UNITS AND FORMULAS USED PLEASE)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 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_forwardPlease answer this, I need help.arrow_forward
- Suppose 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_forwardAn 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 pin is forced to move along a parabola shaped guide by a connected collar that moves along the r-axis only, as shown in the figure. 5m V. a, 2 m When a = 0.5 m the velocity and acceleration of the collar are: vr = -2.6 m/s and ag = 26 m/s? respectively. The parabolic guide is described by y = -1.25 a2 +5. z, where both z and y are in units of metres. What is the y-component of velocity, vy at this instant? Number Units What is the magnitude of the acceleration lalat this instant? Number Units What is the normal component of the acceleration, an at this instant? Number Unitsarrow_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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
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
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY