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
Question
Chapter 2, Problem 36P
(a)
To determine
Derive the equation which does not contain
(b)
To determine
Solve problem 35 using the equation calculated in part (a).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
As illustrated in the figure, a particle P moves on an x- y plane. In this motion, x( t) = 3 2 in meters and
a(y) = 4 m /s?. It is also known that the position and velocity component along the y axis both vanish.
Determine the speed as well as the x and y position of the particle at i = 3s. In your opinion, is the figure
correct? If not, explain why and sketch a correction.
Trajectory
60
a
50
40
30
P
20
10
50
100
150
200
250
A particle moves along the x-axis with position function
x(t) = At² + B²²³,
where 4 = 3 m s-² and B=ms-3 are constants. Find the instantaneous velocity vx and
the instantaneous acceleration ax of the particle at time t = 2 s. Give your answers by
entering the appropriate integer numbers in the two empty boxes below (you don't need
to concern yourself with significant figures in this question).
At time t=2s : Vx =
At time t=2s : ax =
ms-1.
ms-2.
You may use the following standard derivative:
dc4"
dt
nCtn - 1 where C and are any constants.
n
A particle moves in one dimension according to the equation: x(t)= 2.0m + (5.0m/s)t - (6.2m/s2)t2. Determine x at t=2.0s, vx at t=0.2s, and ax at t=3.1s.
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
- The equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.arrow_forwardPlease answer b and carrow_forwardA point particle of mass m = 1.8 kg moves according to the position function: r(t) = xtai + ytbj + ztck, where t denotes time and x, y, z, a, b, and c are constants such that the exponents are positive integers and the position function has the dimension of length. Part (a) We can write the particle’s velocity function in the form v(t) = ntdi + otej + ptgk. Enter an expression for n in terms of x, y, z, a, b, and c. Part (b) The particle’s velocity function will have the form v(t) = ntdi + otej + ptgk. Enter an expression for d in terms of x, y, z, a, b, and c. Part (c) Here is a set of parameter values for the motion of the particle: m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2. Calculate the x-component of the particle’s angular momentum, in units of kg˙m2/s, about the origin at time t = 1 s. Part (d) Use the same set of parameter values (m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2) to calculate the y-component of…arrow_forward
- The position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write the particle's velocity at time t = (pi / 6) as the product of its speed and direction.arrow_forwardA particle P is moving on the x-axis with constant deceleration 2.5 ms?. At time t = 0, the particle P passes through the origin 0, moving in the positive direction of x with speed 15 ms. Find a the time between the instant when P first passes through O and the instant when it returns to 0, b the total distance travelled by P during this time.arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo =18.5 m/s. the cliff is h=49.0 m above a flat, horizontally beach. in xy write the equations for the x- and y- components of the velocity of the stone with time.arrow_forward
- In the children's book Nuts to You, a young squirrel named Jed is snatched up by a hawk. While in the air Jed manages to go limp, slip through the hawk's talons and fall to the forest floor. The hawk travels horizontally at a speed of 4.86m/s . (You may neglect any effects of air resistance as you answer the following questions). One second after being released, what is the y-component of Jed's velocity?arrow_forwardA student at the top of a building of height h throws one ball upward with a speed of vi and then throws a second ball downward with the same initial speed vi. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?arrow_forwardA landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42arrow_forward
- Calculate vz, the x component of the velocity of the particle. Express your answer in meters per second.arrow_forward(The picture shows the full question.) Where are you? A particle’s position r in time t was shown to be:r(t) = (t + sin t)ˆi + (t)ˆj + (2.00 [m]) kˆ. What is it’s velocity v and acceleration a at t = 5.00 [s]?A. v = (1.00 [m/s])ˆj,a = (0.0871 [m/s^2])ˆi B. v = (1.28 [m/s])ˆi+(1.00 [m/s])ˆj,a = (0.959 [m/s2])ˆi C. v = (2.00 [m/s])ˆi−(0.09 [m/s])ˆj,a = (−0.959 [m/s2])ˆi D. v = (0.72 [m/s])ˆi+(1.00 [m/s])ˆj,a = (−0.959 [m/s2])ˆiarrow_forwardCan part d be checked and I don't know how to do part c and earrow_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 Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY