Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 40AP
As some molten metal splashes, one droplet flies off to the east with initial velocity vi at angle θi above the horizontal, and another droplet flies off to the west with the same speed at the same angle above the horizontal as shown in Figure P4.40. In terms of vi and θi, find the distance between the two droplets as a function of time.
Figure P4.40
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An Olympic diver is on a diving platform 5.20 m above the water. To start her dive, she runs off of the platform with a speed of 1.3 m/s
in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water?
m/s
Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. Emily throws the ball at an angle of 30° below horizontal with a speed of 12 m/s, and Allison catches it 2.5 s later. How far from the base of the dorm does Allison stand to catch the ball, in meters? Use g = 10.0 m/s2.
Trachecktory. Two cannonballs, aptly named a and ß, were launched on level ground. a was launched with a velocity of 18.0 [m/s] at 36° with respect to the
ground while ß was launched with a velocity of 17.6 [m/s] at 48° with respect to the ground. What can you say about a and ß's range and time of flight?
O a and ß do not have the same range; a has a larger time of flight.
O a and ß have the same range; a has a larger time of flight.
a and ß have the same range; ß has a larger time of flight.
a and ß do not have the same range; ß has a larger time of flight.
Chapter 4 Solutions
Physics for Scientists and Engineers
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Review. A snowmobile is originally at the point...
Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - A rock is thrown upward from level ground in such...Ch. 4 - A firefighter, a distance d from a burning...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - The record distance in the sport of throwing...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - A projectile is fired from the top of a cliff of...Ch. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - A bolt drops from the ceiling of a moving train...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - You are taking flying lessons from an experienced...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - A science student is riding on a flatcar of a...Ch. 4 - A river has a steady speed of 0.500 m/s. A student...Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - You are participating in a summer internship with...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Why is the following situation impassible? A...Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - An astronaut on the surface of the Moon fires a...Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - Do not hurt yourself; do not strike your hand...Ch. 4 - You are on the Pirates of the Caribbean attraction...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - A fireworks rocket explodes at height h, the peak...
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 basketball player is standing on the floor 10.0 m from the basket as in Figure P3.47. The height of the basket is 3.05 m, and he shoots the ball at a 40.0 angle with the horizontal from a height of 2.00 m. (a) What is the acceleration of the basketball at the highest point in its trajectory? (b) At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard?arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P3.19. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land?arrow_forwardA golfer hits his approach shot at an angle of 50.0, giving the ball an initial speed of 38.2 m/s (Fig. P4.60). The ball lands on the elevated green, 5.50 m above the initial position near the hole, and stops immediately. a. How much time passed while the ball was in the air? b. How far did the ball travel horizontally before landing? c. What was the peak height reached by the ball? FIGURE P4.60arrow_forward
- Kara is setting up a tee-shirt cannon for a community event. The angle of the cannon can be adjusted, but all projectiles leave the cannon at 25 meters per second. If Kara sets the angle of the cannon to be 20.o above horizontal, what will be the range of the projectiles? 64 m 61 m 41 m 25 marrow_forwardConsider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial angles. Refer to the figure. Part (a) What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 70.6°? b. What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 38°? c. What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 70.6°, the complement of θ1?arrow_forwardKayla throws a soccer ball out of her dorm window to Hafsa, who is waiting below to catch it. Kayla throws the ball at an angle of 40° below horizontal with a speed of 1.2 m/s, and Hafsa catches it 2.4 s later. How far from the base of the dorm does Hafsa stand to catch the ball, in meters? Use g = 10.0 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forward
- H3.6. A bullet is fired from ground level at 120 m/s in the +55° direction. The bullet hits the ground x meters away. Setup with three completely labeled diagrams, the first showing the trajectory of the stone, the second its vertical motion and the third its horizontal motion. Calculate the vertical and horizontal components of the initial velocity. Using the formula (y = v0yt …) and obtain the time interval the bullet travels through air. Calculate how far from the point that it was fired the bullet will hit the ground.arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18.0 m/s. The cliff is 50.0 m above a flat, horizontal beach as shown in Figure P3.23. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity? (c) Write the equations for the x- and y-components of the velocity of the stone with time. (d) Write the equations for the position of the stone with time, using the coordinates in Figure P3.23. (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land?arrow_forwardYou buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.5 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?arrow_forward
- An arrow is shot from a height of 1.4 m toward a cliff of height H. It is shot with a velocity of 31 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.5 s later. Hint a. What is the height H of the cliff (in meters)? H = 35.35 b. What is the maximum height from the bottom of the cliff reached by the arrow along its trajectory(in meters)? ✓m. hmax c. What is the arrow's impact speed (in m/s) just before hitting the cliff? Uf = m/s. Enter an integer or decimal number [more..] 38.18 m.arrow_forwardThe displacement vectors A and B shown in Figure P3.9 both have magnitudes of 3.00 m, The direction of vector A is 0 = 30.0°. Find graphically 9. (a) +B, Answer + (b) A - B, Answer + (c) B - 7, and Answer + (d) A- 2B. (Report all angles counterclockwise from the positive = axis.) Figure P3.9 Problems 9 and 25.arrow_forwardLili throws a ball to her friend Eric. The ball leaves Lili's hand a distance 2.00 meters above the ground with an initial speed of 18.0 m/s at an angle 30.0° with respect to the horizontal. Eric catches the ball 1.20 meters above the ground. What is the distance between Lili and Eric, in meters? Use g = 10.0 m/s2.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher: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
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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