Subject: Differential Equation Problem 7-10: Formulate DE for problems involving Newton's Secondo Law of Motion.8. A mass is being pulled across the ice on a sled with a constant force. The resistance offered by the ice to therunners is negligible, but the resistance offered by the air is five times the velocity of the sled. What is the DEfor the velocity of the sled if the combined weight of the sled and the mass is 80 lb.

Use the Newton's second Law og motion and form the DE.

Answered: Problem 7-10: Formulate DE for problems…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section4.6: Graphing Combinations Of Functions

Problem 49PS

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Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?
1. A ball is thrown up in the air from a cliff with the initial speed of 10 meters per second and hits the ground 11 seconds later. How tall is the cliff? You may assume that the acceleration due to gravity is –10 meters per second squared.
Two people are riding in a motorboat and the combined weight of individuals, motor, boat and equipment is 640lb The motor exerts a constant force of 20 lbs on the boat in the direction of motion, while the resistance is numerically = to one and a half times the velocity v( in ft/second) if the boat started from rest,find the velocity of the boat after 40 seconds
How much force must be applied to a 1.8kg ice hockey puck to give it an acceleration of 10 m s-2
1. A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at 600 revolutions per minute, what is the linear velocity of the tip of the blade in feet per minute? (Round your answer to the nearest whole number.) 2. The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep the cable cars moving at a linear velocity of 17 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft. Round your answer to the nearest tenth.) 3. Point P moves with angular velocity ω on a circle of radius r. Find the distance s traveled by the point in time t. ω = 4 rad/sec, r = 3 inches, t = 5 sec 4. Point P sweeps out central angle θ as it rotates on a circle of radius r as given below. Find the angular velocity of point P. θ = 24, t = 8 min
please solve this problem with step by step calculations
Ordinary Partial diff. eqn. Solve question 2. a, b, c,d and e.
Answer I. Problem Solving only, number 1.

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