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A fisherman sets out upstream on a river. His small boat, powered by an outboard motor, travels at a constant speed v in still water. The water (Urn’s at a lower constant speed vw. The fisherman has traveled upstream for 2.00 km when his ice chest falls out of the boat. He notices that the chest is missing only after he has gone upstream for another 15.0 min. At that point, he turns around and heads back downstream, all the time traveling at the same speed relative to the water. He catches up with the floating ice chest just as he returns to his starting point. How last is the river flowing? Solve this problem in two ways. (a) First, use the Earth as a reference frame. With respect to the Earth, the boat travels upstream at speed v − vw, and downstream at v + vw. (b) A second much simpler and more elegant solution is obtained by using the water as the reference frame. This approach has important applications in many more complicated problems; examples are calculating the motion of rockets and satellites and analyzing the scattering of subatomic particles from massive targets.
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Chapter 4 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
- HW4 - MTH 114, section 1, Sprin X + с https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=31254787&tags=autosave#question3... Q 20 A woman driving a car 16 ft long is passing a truck 28 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s, from the position shown in figure (a) to the position shown in figure (b)? [Hint: Use feet and seconds instead of miles and hours.] mi/h Need Help? Watch It ccess Confirmation of Questio X C Master It + https://www.bartleb.. (a) (b) New tab (Ctrl+T) 50 mi/h 50 mi/h Fb CHAT *** MATH SOLVER A MY NOTES 0 ASK YOUR TEACHER X PRACTICE ANOTHER by 6 mi/h to drive the 132 mi from Barrington to Collins. If the second leg of his trip took 2 min more time than the first leg,arrow_forwardW S and X H 3 7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the km/h E D C a R F V T C MacBook Air Ĝ 15 B Y 7 H N 8 Dil K M command opticarrow_forwardSITUATION 9. A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60m/s. Due to the drag resistance of the fluid the projectile experiences a deceleration of a = -0.4v³m/s², where v is in m/s. Determine the projectile's velocity and position 4 s after it is fired.arrow_forward
- A boat leaves the dock at t = 0 and heads out into a lake. The wind gives the boat an initial velocity of 2.0m/si – 3.0m/sj. The boat accelerates at 1.5m/s'? + 1.2m/s'}. Find the position of the boat and its velocity att = 15 s. Assume the boat is at the origin at t = 0.arrow_forwardYou are working as an expert witness for the defense of a container ship captain whose ship ran into a reef surrounding an island. The captain is being charged with intentionally running the ship into the reef. In discovery, the following information is correct: The ship was traveling at 2.5 m/s toward the reef when a mechanical failure caused the rudder to jam in the straight-ahead position. At that point in time, the ship was 900 m from the reef. The wind was blowing directly toward the reef and exerting a constant force of 9.00 x 103 N on the boat in a direction toward the reef. The mass of the ship and its cargo was 5.50 x 107kg. During the preparation for the trial, the captain claims that without control of the direction of travel, the only choice he had was to put the engines in reverse at maximum power, such that the total force exerted by the frictional drag force of the water on the propeller was 1.25 x 105 N in a direction away from the reef. From this information, construct…arrow_forwardA stone is thrown at a cliff with a height of h. If the stone is thrown with an initial speed of 42 m/s at an angle θ=60° and hits the cliff at A 5.5 seconds later, determine the speed of the stone when it hits A. Use g = 10 m/s/s.arrow_forward
- A diver jumps off a cliff of h at an angle of 0 =38° (see figure below). He reaches a maximum height of hmaz x = 42m from the base of the cliff. Determine the speed of the diver just before he hits the water, = 3m above the top of the cliff before falling to the water below. He hits the water VA =?.Express your answer in units of m/s. Take g 9.80m/s2. Round your answer to zero decimal places. Jrmax Answer:arrow_forwardA catapult lunches a rock at a castle wall. The rock is lunched at a 45 degree angle with a speed of 22 m/s. the castle wall is 45 m away and is 20 m high. Does the rock make it over the wall?arrow_forwardYou are the captain of the John Paul Jones, Class-A Battleship on your way to kill the alien ship on the North side of Oahu, Hawaii. Your ship travels 10.36km [W650S] and then 5.60 km [S450W] to meet up with the alien ship. Determine your ship’s total displacement.arrow_forward
- One side of the roof of a house slopes up at 37 deg. A roofer kicks a round, flat rock that has been thrown into the roof by a neighborhood child. The rock slides straight up the incline with an initial speed of 15 m/s. The coef. of friction between the rock and the roof is 0.40. The rock slides 10.0 m up the roof to its peak. It crosses the ridge and goes into free fall, following a parabolic trajectory above the far side of the roof, with negligible air resistance. Determine the maximum height the rock reaches above the point where it was kicked.arrow_forwardIn the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of e = 28.1° with respect to the ground (see figure below). Wolverine is d = 2.20 m above the ground when he is released, and he leaves Colossus's hands with a speed of v. = 22.6 m/s. (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? | m/sarrow_forwardA ball of mass 1.2 kg and a diameter of 36.1 cm is attached to a string of length 1.6 m. It moves in a circular path at constant speed, 5.2 m above the ground. The string makes a constant angle of 43 ° with respect to vertical. L m (a) What is the speed of the ball? (b) What is the tension in the string?arrow_forward
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