u Cilalll! if a 50-kg block is attached l0 le from a ledge. The density of the rope is 55 g/m. How ms eely is needed to pull the entire rope to the ledge? iS 32. Coiling a rope A 60-m-long, 9.4-mm-diameter rope hangs 33. Winding part of a chain A 20-m-long, 50-kg chain hangs verti- ally from a cylinder attached to a winch. How much work is needed to wind the upper half of the chain onto the winch? 34. Leaky Bucket A 1-kg bucket resting on the ground contains 3 kg of water. How much work is required to raise the bucket vertically a distance of 10 m if water leaks out of the bucket at a constant rate of j kg/m? Assume the weight of the rope used to raise the bucket is negligible. (Hint: Use the definition of work W SF() dy, where F is the variable force required to lift a object along a vertical line from y a to y b 35. Emptying a swimming pool A swim box with a base that mennu ming noal

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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#32

u
Cilalll!
if a 50-kg block is attached l0 le
from a ledge. The density of the rope is 55 g/m. How ms eely
is needed to pull the entire rope to the ledge?
iS
32. Coiling a rope A 60-m-long, 9.4-mm-diameter rope hangs
33. Winding part of a chain A 20-m-long, 50-kg chain hangs verti-
ally from a cylinder attached to a winch. How much work is
needed to wind the upper half of the chain onto the winch?
34. Leaky Bucket A 1-kg bucket resting on the ground contains
3 kg of water. How much work is required to raise the bucket
vertically a distance of 10 m if water leaks out of the bucket at a
constant rate of j kg/m? Assume the weight of the rope used
to raise the bucket is negligible. (Hint: Use the definition of work
W SF() dy, where F is the variable force required to lift a
object along a vertical line from y a to y b
35. Emptying a swimming pool A swim
box with a base that mennu
ming noal
Transcribed Image Text:u Cilalll! if a 50-kg block is attached l0 le from a ledge. The density of the rope is 55 g/m. How ms eely is needed to pull the entire rope to the ledge? iS 32. Coiling a rope A 60-m-long, 9.4-mm-diameter rope hangs 33. Winding part of a chain A 20-m-long, 50-kg chain hangs verti- ally from a cylinder attached to a winch. How much work is needed to wind the upper half of the chain onto the winch? 34. Leaky Bucket A 1-kg bucket resting on the ground contains 3 kg of water. How much work is required to raise the bucket vertically a distance of 10 m if water leaks out of the bucket at a constant rate of j kg/m? Assume the weight of the rope used to raise the bucket is negligible. (Hint: Use the definition of work W SF() dy, where F is the variable force required to lift a object along a vertical line from y a to y b 35. Emptying a swimming pool A swim box with a base that mennu ming noal
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