For centuries, the people of Paradis Island have been isolated from the rest of the world. The SI units are unknown to them. Expeditions sent to the island revealed that they created their own system of units, and some of their findings are summarized in Tables 1 and 2. To help the Paradisians advance technologically, people from the outside are planning to construct a power plant on the island. The plant produces an average of 875.9 gigawatts (GW) of power. A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg.m²/s³) B. Calculate the energy produced by the plant in 5.400 x 104 s of operation. Express the result in Yeager (Y). (1 J = 1 W-s = 1 kg.m²/s²) (Note: Power = energy/time) C. How many households can be powered by the plant after 5.400 x 104 s of operation if each house consumes 1.50 x 1011 Y of energy?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 81AP: Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time....
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For centuries, the people of Paradis Island have been isolated from the rest of the world. The SI units are unknown to them. Expeditions sent to the island revealed that they created their own system of units, and some of their findings are summarized in Tables 1 and 2. To help the Paradisians advance technologically, people from the outside are planning to construct a power plant on the island. The plant produces an average of 875.9 gigawatts (GW) of power. A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg.m²/s³) B. Calculate the energy produced by the plant in 5.400 x 104 s of operation. Express the result in Yeager (Y). (1 J = 1 W-s = 1 kg.m²/s²) (Note: Power = energy/time) C. How many households can be powered by the plant after 5.400 x 104 s of operation if each house consumes 1.50 x 1011 Y of energy?
Table 1. Fundamental Paradisian
units.
Physical Unit and Conversion
Quantity Symbol
to SI Units
1T = 2.625
Length
Trost (T)
Stohess
Time
1 H = 1.480 s
(H)
10 = 0.350
Mass
Orvud (O)
kg
Transcribed Image Text:Table 1. Fundamental Paradisian units. Physical Unit and Conversion Quantity Symbol to SI Units 1T = 2.625 Length Trost (T) Stohess Time 1 H = 1.480 s (H) 10 = 0.350 Mass Orvud (O) kg
Table 2. Paradisian derived units.
Unit
Physical
and
Quantity
Expanded
Form
Symbol
Yeager 1 Y=1
O.T2
(Y)
Energy
H?
Arlert 1 R=1
OT
(R)
Power
H3
Transcribed Image Text:Table 2. Paradisian derived units. Unit Physical and Quantity Expanded Form Symbol Yeager 1 Y=1 O.T2 (Y) Energy H? Arlert 1 R=1 OT (R) Power H3
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