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calculus_love
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A 2000lb elevator travels from the ground floor to the 1st floor and on to the 9th floor. At the 1st floor, a 100lb person gets off, on the 2nd floor a 110lb person gets off, on the 3rd floor a 120lb person gets off and so on and so on till the last person gets off on the 9th floor.
a) How much did the last person to get out of the elevator weigh? What was the total weight to start?
b) If each floor is 10 feet in height, find the work done by the elevator. (Hint: No integrals needed). Write the Riemann Sum (in terms of i) for the work and find the numerical value of the total work done.
I know for part a) there is some integration I can use to get the solution. By writing it all out I was able to conclude that the last person to get off was 180lbs, right? I'm just not certain how to conceptually get to that solution through integration...HELP!
For b) I thought solving it with integrals would be the only possible way and I'm pretty stumped as to how to get the work using Riemann...or I figured I could have used the formula W=F(d) but that's confusing me as well.
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a) How much did the last person to get out of the elevator weigh? What was the total weight to start?
b) If each floor is 10 feet in height, find the work done by the elevator. (Hint: No integrals needed). Write the Riemann Sum (in terms of i) for the work and find the numerical value of the total work done.
I know for part a) there is some integration I can use to get the solution. By writing it all out I was able to conclude that the last person to get off was 180lbs, right? I'm just not certain how to conceptually get to that solution through integration...HELP!
For b) I thought solving it with integrals would be the only possible way and I'm pretty stumped as to how to get the work using Riemann...or I figured I could have used the formula W=F(d) but that's confusing me as well.
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