Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 4, Problem 31P
A river flows with a steady speed v. A student swims upstream a distance d and then back to the starling point. The student can swim at speed c in still water. (a) In terms of d, v, and c, what time interval is required for the round trip? (b) What time interval would be required if the water were still? (c) Which time interval is larger? Explain whether it is always larger.
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Hello,
(a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00 m/s
(b) What would its speed be relative to the Earth?fully is what you're asking for.
Exeecise 3.57 is provided below:
A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the water. The local ocean current is 1.50 m/s in a direction 40.0º north of east. What is the velocity of the ship relative to the Earth?
Suppose that a ball is thrown straight up in the air, and that a secondball is thrown straight upward two seconds after the first. It reaches thesame maximum height as the first ball.a. What is the position of the first ball as a function of time, y1(t)?Take the initial height of the ball as y0 = 0.b. What is the position of the second ball as a function of time, y2(t)?Take the initial height of the ball as y0 = 0.c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, timeto max height for the first ball, and note the point corresponding to thetime and height of passing.d. When do the balls pass each other in the air? Assume the balls arebeing throw up adjacent to each other.e. At what height above y0 = 0 do the balls pass each other?f. Can you find the time of passing by just using the y − t diagram?
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...
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- In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. (a) If the height of the counter is h, find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. t = (b) With what speed does the mug leave the counter? Answer in terms of the variables d, g, and h. v1 = (c) In the same terms, what is the speed of the cup immediately before it hits the floor? v2 = (d) In terms of h and d, what is the direction of the cup's velocity immediately before it hits the floor? ? = radiansarrow_forwardA woman can row a boat at 6.40 km/h in still water. (a) If she is crossing a river where the current is 3.20 km/h, in what direction must her boat be headed if she wants to reach a point directly opposite her starting point? (b) If the river is 6.40 km wide, how long will she take to cross the river? (c) Suppose that instead of crossing the river she rows 3.20 km down the river and then back to her starting point. How long will she take? (d) How long will she take to row 3.20 km up the river and then back to her starting point? (e) In what direction should she head the boat if she wants to cross in the shortest possible time, and what is that time?arrow_forwardAt one instant, a bicyclist is 50 m due east of a park's flagpole, going due south with a speed of 18 m/s. Then, 13 s later, the cyclist is 45 m due north of the flagpole, going due east with a speed of 13 m/s. For the cyclist in this 13 s interval, what is the displacement (m) and direction north of west, average velocity (m/s) and direction north of west and the average acceleration and direction north of east?arrow_forward
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