a. A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s² for g. Use 1000 kg/m³ as the weight density of water.) 4m+ ++€ W = 1 m 4 m ↓ 9 m A water tank shaped like a triangular prism is given. The base of the prism is at the top and a spout is located at the top of the tank. The dimensions of the tank are 9 meters long, 4 meters wide, and 4 meters deep. The spout is 1 meters long. J i

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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a.
A tank is full of water. Find the work W required to pump the water out of the spout.
(Use 9.8 m/s² for g. Use 1000 kg/m³ as the weight density of water.)
T
1 m
†
4 m
W =
A water tank shaped like a triangular prism is given. The base of the prism is at the top and a
spout is located at the top of the tank. The dimensions of the tank are 9 meters long, 4 meters
wide, and 4 meters deep. The spout is 1 meters long.
9 m
J
J
4 m
b. Suppose that 2 J of work is needed to stretch a spring from its natural length
of 26 cm to a length of 40 cm.
How much work (in J) is needed to stretch the spring from 34 cm to 38 cm? (Round your
answer to two decimal places.)
cm
How far beyond its natural length (in cm) will a force of 15 N keep the spring stretched?
(Round your answer one decimal place.)
Transcribed Image Text:a. A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s² for g. Use 1000 kg/m³ as the weight density of water.) T 1 m † 4 m W = A water tank shaped like a triangular prism is given. The base of the prism is at the top and a spout is located at the top of the tank. The dimensions of the tank are 9 meters long, 4 meters wide, and 4 meters deep. The spout is 1 meters long. 9 m J J 4 m b. Suppose that 2 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 40 cm. How much work (in J) is needed to stretch the spring from 34 cm to 38 cm? (Round your answer to two decimal places.) cm How far beyond its natural length (in cm) will a force of 15 N keep the spring stretched? (Round your answer one decimal place.)
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