Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 2, Problem 27P
A speedboat travels in a straight line and increases in speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a displacement Δx of 200 m. We wish to find the time interval required for the boat to move through this displacement. (a) Draw a coordinate system for this situation. (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boat’s acceleration in terms of vi, vf, and Δx. (e) Substitute numerical values to obtain the acceleration numerically. (f) Find the time interval mentioned above.
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A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
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Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
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Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are members of the highway patrol more interested...Ch. 2.4 - Using Active Figure 2.8, match each vxt graph on...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which of the following statements is true? (a) If...Ch. 2.7 - A ball is thrown upward. While the ball is in...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 3OQCh. 2 - Prob. 4OQ
Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 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 - Prob. 8OQCh. 2 - As an object moves along the x axis, many...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Prob. 14OQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 2CQCh. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 8PCh. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A particle moves along the x axis according to the...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Figure P2.15 shows a graph of vx versus t for the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Prob. 17PCh. 2 - The minimum distance required to stop a car moving...Ch. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - The driver of a car slams on the brakes when he...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A speedboat travels in a straight line and...Ch. 2 - In a classic clip on Americas Funniest Home...Ch. 2 - Prob. 29PCh. 2 - A baseball is hit so that it travels straight...Ch. 2 - Prob. 31PCh. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - A ball starts from rest and accelerates at 0.500...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Prob. 45PCh. 2 - The Acela is an electric train on the...Ch. 2 - Liz rushes down onto a subway platform to find her...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Prob. 49PCh. 2 - A motorist drives along a straight road at a...Ch. 2 - Prob. 51PCh. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - Prob. 53PCh. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A man drops a rock into a well. (a) The man hears...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Two objects, A and B, are connected by a rigid rod...
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