A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a speed of 8.0 m/s when it passes itslowest point. (a) What is the speed when the string is at 60° to the vertical? (b) What is the greatest angle with the vertical that thestring will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone'slowest point, what is the total mechanical energy of the system?(a) NumberiUnit(b) NumberUnit(c) NumberiUnit

Answered: Image /qna-images/answer/53dcdc27-1d67-42e4-a996-1d4f1f2f145c.jpg

Answered: A pendulum consists of a 3.5 kg stone…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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High-speed elevators function under two limitations: (1) the maximum magnitude of vertical acceleration that a typical human body can experience without discomfort is about 1.2 m/s², and (2) the typical maximum speed attainable is about 8.8 m/s. You board an elevator on a skyscraper's ground floor and are transported 190 m above the ground level in three steps: acceleration of magnitude 1.2 m/s² from rest to 8.8 m/s, followed by constant upward velocity of 8.8 m/s. then deceleration of magnitude 1.2 m/s² from 8.8 m/s to rest. T Part A Determine the elapsed time for each of these 3 stages. Express your answers using two significant figures separated by commas. tace, tconstant, tdec = Submit Part B AFN,acc AFN,constant FN FN Submit Request Answer 2 [5] ΑΣΦ Determine the change in the magnitude of the normal force, expressed as a % of your normal weight during each stage. Express your answers using two significant figures separated by commas. 2 AFN,dec FN Request Answer Part C Complete…
Imagine a diver jumping off a spring board that is 10 feet above the water. The board throws the diver up with an upward velocity of 9 feet per second. That means that if there were no gravity, the diver would keep going up at the rate of 9 feet every second. Fortunately for the diver, there is gravity. Eventually, gravity over comes the force of the diving board and the the diver begins to come down. So over all, the diver is thrown into the air fairly quickly, he slows down until he stops, then begins to come back down (slowly at first, then faster and faster until he hits the water). The height of any object like the diver that is projected into the air can be modeled with the following function: h(t) = -16t^2 + v*t + m In this function: h(t) is the height of the object t seconds after it was thrown into the air. t is the number of seconds after the object was thrown in the air. v is the initial upward velocity (for the diver this was 9 ft per second). m is the initial height of the…
10. Suppose a stone is dropped from the observation deck of the Space Needle in Seattle, 160 meters above the ground. How long will it take for the stone to hit the ground? (You will need to know that the acceleration of gravity is a = -9.8 meters per second?.)
An object is shot upwards from ground level with an initial velocity of 3 meters per second; itis subject only to the force of gravity (no air resistance). Find its maximum altitude and thetime at which it hits the ground.
In 13.9 s, 278 bullets strike and embed themselves in a wall. The bullets strike the wall perpendicularly. Each bullet has a mass of 5 x 10-3 kg and a speed of 977 m/s. (a) What is the average change in momentum per second for the bullets? (b) Determine the average force exerted on the wall. (c) Assuming the bullets are spread out over an area of 3.17 x 104 m² obtain the average pressure they exert on this region of the wall. (a) Number i (b) Number i (c) Number i Units Units Units
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

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