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Problem

(a) Newton's Law of Gravitation states that two b…

01:36

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Problem 32 Medium Difficulty

Suppose that when launching an 800-kg roller coaster car an electromagnetic propulsion system exerts a force of $ 5.7x^2 + 1.5x $ newtons on the car at a distance $ x $ meters along the track. Use Exercise 31(a) to find the speed of the car when it has traveled 60 meters.


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Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 4

Work

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Watch More Solved Questions in Chapter 6

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34

Video Transcript

So for this question, we're gonna ply the physical love beyond connect kinetic energy. So the work equals to Albert Connect Angeles equals to have a and B squared. And, uh, the work is actually the force. The eggs from the position, the starting position, the position which is steeples to 0 to 60 in our force function equals two, five and seven X squared waas 115 minutes. So the work gonna be done? But is this force gonna be gonna be fine on seven X cubed over three plus. And what about X squared over two from 2 0 to 60 which is equals two four points. 13131 times turned to buy has been large, Jule. And by this equation, we're gonna solve for being the speed equals two, two times the work over the mess and we give it a square root so hands we can tattoo it this speed by plugging in the work and the mess. And within the Indian of with four on 131 touch to the fight over 400 that equals two 32 points. 14 be those positions. It's all results

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