A robot is exploring Charon, the dwarf planet Pluto's largest moon. Gravity on Charon is 0.278 meters per second 82 During its investigations, the robot picks up a small spherical rock for inspection. The rock has a diameter of 4 centimeters cm and is lifted 15 centimeters [cmļabove the surface. The specific gravity of the rock is 10.3. It requires 13 seconds [s to perform this lifting task. The mechanism lifting the rock is powered by a 10-volt [V] power supply and draws 1.75 milliamperes mA] of current. Determine the efficiency of the robot, expressed as a percentage [%].

Physics for Scientists and Engineers, Technology Update (No access codes included)
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ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter13: Universal Gravitation
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show all the formulas you used PLEASE it’s really important for me that you show your work and formulas you used to resolve the problem.
A robot is exploring Charon, the dwarf planet Pluto's largest moon.
Gravity on Charon is 0.278 meters per second
s2
During its investigations, the robot picks up a small spherical rock
for inspection.
The rock has a diameter of 4 centimeters cm and is lifted 15
centimeters [cm|above the surface.
The specific gravity of the rock is 10.3. It requires 13 seconds s to
perform this lifting task.
The mechanism lifting the rock is powered by a 10-volt |V] power
supply and draws 1.75 milliamperes mA] of current.
Determine the efficiency of the robot, expressed as a percentage
[%].
Transcribed Image Text:A robot is exploring Charon, the dwarf planet Pluto's largest moon. Gravity on Charon is 0.278 meters per second s2 During its investigations, the robot picks up a small spherical rock for inspection. The rock has a diameter of 4 centimeters cm and is lifted 15 centimeters [cm|above the surface. The specific gravity of the rock is 10.3. It requires 13 seconds s to perform this lifting task. The mechanism lifting the rock is powered by a 10-volt |V] power supply and draws 1.75 milliamperes mA] of current. Determine the efficiency of the robot, expressed as a percentage [%].
Unit Conversion Table
SI Prefixes and Dimensions Table
Angle
1 rad
e rad
SI Prefixes
Example: 1 milligram (mg]- 1 x 10 grams (gd
Power
I hp
57.3
deg
deg
745.7
Example: 1 Megajoule (MJ] - 1x 10 joules (J)
Numbers Greater Than One
180
3.412
BTU / h
Numbers Less Than One
0.00134
hp
cal / min
Prefix
Abbreviation
Prefix
Abbreviation
Area
1 W
Power of 10
Prefix
Power of 10
Prefis
14.34
4,047
m
t Ib /s
-1
deci-
1
deca
-
da
0.7376
1 acre
0.00156
mi
-2
centi-
hecto-
h
1 mi
640
acre
Pressure
3
milli-
3.
kilo-
k
m
1.01325
bar
r
Mega
Energy
1 BTU
33.9
t H0
-6
micro
6.
M
1,055.06
J
1 atm
29.92
in Hg
-9
nano
Giga-
I cal
4.184
J
760
mm Hg
-12
pico-
12
Tera-
т
0.239
cal
101,325
Pa
9.48 10 ITU
0.7376
1J
-15
femto-
15
Peta-
14.7
psi
t Ib
-18
atto-
18
Exa-
E
1 kW h
3,600,000 J
Time
-21
21
Zetta
zepto-
1d
24
h
Force
-24
yocto-
24
Yotta-
1h
60
min
0.225
Ib
1 min
I yr
IN
60
1x 10
dyne
Fundamental Dimensions and Base SI Units
365
I kip
1,000
Ib
Temperature Change
electric current A ampere
N amount
|mol) mole
Length
J light intensity
Jed) candela
T time
Is]
second
1m
3.28
ft
IK
1.8
1 km
1 in
0.621
mi
1.8
"R
L length
(m] meter
O temperature
[K) kelvin
254
cm
12
Volume
M mass
in
(kgl kilogram
5,280
ft
3.785
L
1 mi
1 pal
1.609
km
4
qt
cm or ce
Common Derived, Named Units in the SI System
Base SI Units
1 yd
3
ft
1,000
SI Unit
Derived From
0.264
gal
Dimensions
Dimension
Mass
0.0353
ML
F-ma
(F) newton IN Force (mass (acceleration
1N - 1
I kg
1 Ib
1 shug
1 ton (metric
1 ton (US
2.205
Ib
Force
A oz
cm or ce
33.8
16
oz
I ml.
32.2
Ib
1 m
1,000
L.
ML?
Energy (E) joule
E-Fd
PI Energy (force) (distance)
1J-1N m -1
2,204.62
Ib
16
d oz
pt
I gt
2,000
Ib
2
pt
ML?
(P) watt (W
1w - 1!-1
Power
Named Units
Power - jenergyi / (time)
farad
1 (A s) / V
1 (V s) / A
pascal
poise
1 Pa
IN/ m
1g/ (cm s)
1 em /s
Pressure (P) pascal (Pal Pressure force) / (area)
P-F/A
1 Pa - 1-1
M
henry
1P
LT2
1H
hertz
I Ha
1 St
stoke
IN m
1 V
V IWIA
V-P/I
Voltage - (power) / (current)
ML?
joule
1J
1Nm
volt
Voltage (V) volt
1V -1"-1
T'I
1 (kg m) / s
1v/A
newton
1N
watt
1 W
1J/s
ohm
10
Thinking Like an Engineer 4e
An Aetive Learning Agpproach
Thinking Like an Engineer 4e
An Aetive Learning Approach
an. P
Cte
Geometric Formulas and Physical Constants Table
Equations Table (in order of appearance in textbook
Geometric Formulas
Distance, Velocity and Acceleration
Newton's Second Law
(8.1 Weight
18.2
Rectangular Parallelepiped
Volume - abe
Surface Area 2 (ab+aeb e)
Rectangle
d- vt
F - m a
w = mg
Areaab
v -at
Perimeter - 2 a+ 2b
Density
8.3 Specific Gravity
[8.3] Specific Weight
[8.3]
SG = Pobject
Pwater
w
m
V
Cirele
Sphere
Y=
Arear
Volume -r
Molecular Weight
8.4 Molarity
Temperature: "F to "C
18.5)
Circumference - 2*r
Surface Area4sr
T[*F] – 32 T["C] – 0
Diameter- 2r
MW =
V
180
100
Triangle
Right Cireular Cone
Temperature: "C to K
[8.5 Temperature: "F to "R
[8.5 Pressure
18.6)
Area-bH
Volume -rH
T (K] = T["C] + 273
T ("R] - T ("F] + 460
F
P =
Torus
Right Circular Cylinder
8.6 ideal Gas Law
18.7)
Pascals Law ydrostatic Presure R6 Pressure: Total
Volume -r H
Volume - 2 R
Phydre PgH
Protal - Pydre + Purface
PV-n RT
Lateral Surface Area -2r H
Energy: Work
[8.8 Energy: Potential
[8.8 Energy: Kinetie, translational 8.8
Physical Constants [Value and Units]
W - F Ax
PE - mg AH
KE = m Av?
3x 10
speed of light in a vacuum
Energy: Thermal
[8.8 Power
8.9 Power
8.9)
speed of sound in air (20 "C)
343.59
E
Q-m Cp AT
P = Pout + Post
Euler number (base of natural logarithm) 2.71828..
e
elementary charge of an electron
1.602 x 10 "C
9.65 x 10
Efficiency
[8.10 Current, elated t charge
[8.11) Ohm's Law of Resistance [8.11]
F Faraday's constant
Pout
Pin
Q-It
V-IR
golden ratio
1.61803..
Joule's First Law of Power [8.11 Capacitance, related to charge 8.11] Energy: Capacitor
[8.11)
acceleration due to gravity
9.8 on Earth; 1.6on Earth's Moon
v2
P-VI-=PR
R
Q-CV
E =; Cv?
N
G gravitational constant
6.67 x 10-
k Boltzmann constant
1.38065 x 10
Inductance
8.11 Energy: Inductor
[8.11] Hooke's Law for Spring
[12.3]
dl
NA Avogadro number
6.022 x 10
V =La
E =LF
2
F-k x
ratio of circle circumference to diamcter
3.14159..
Newton's Law of Viscosity [12.3] Kinematic Viscosity
[12.3
Elastic Materials Youngs Modulan (12
R
ideal gas constant
0.08206 - 8314
PaL
Δν
6 = EE
melK
mal K
Ay
11분-1000분-624는
p density of water
Transcribed Image Text:Unit Conversion Table SI Prefixes and Dimensions Table Angle 1 rad e rad SI Prefixes Example: 1 milligram (mg]- 1 x 10 grams (gd Power I hp 57.3 deg deg 745.7 Example: 1 Megajoule (MJ] - 1x 10 joules (J) Numbers Greater Than One 180 3.412 BTU / h Numbers Less Than One 0.00134 hp cal / min Prefix Abbreviation Prefix Abbreviation Area 1 W Power of 10 Prefix Power of 10 Prefis 14.34 4,047 m t Ib /s -1 deci- 1 deca - da 0.7376 1 acre 0.00156 mi -2 centi- hecto- h 1 mi 640 acre Pressure 3 milli- 3. kilo- k m 1.01325 bar r Mega Energy 1 BTU 33.9 t H0 -6 micro 6. M 1,055.06 J 1 atm 29.92 in Hg -9 nano Giga- I cal 4.184 J 760 mm Hg -12 pico- 12 Tera- т 0.239 cal 101,325 Pa 9.48 10 ITU 0.7376 1J -15 femto- 15 Peta- 14.7 psi t Ib -18 atto- 18 Exa- E 1 kW h 3,600,000 J Time -21 21 Zetta zepto- 1d 24 h Force -24 yocto- 24 Yotta- 1h 60 min 0.225 Ib 1 min I yr IN 60 1x 10 dyne Fundamental Dimensions and Base SI Units 365 I kip 1,000 Ib Temperature Change electric current A ampere N amount |mol) mole Length J light intensity Jed) candela T time Is] second 1m 3.28 ft IK 1.8 1 km 1 in 0.621 mi 1.8 "R L length (m] meter O temperature [K) kelvin 254 cm 12 Volume M mass in (kgl kilogram 5,280 ft 3.785 L 1 mi 1 pal 1.609 km 4 qt cm or ce Common Derived, Named Units in the SI System Base SI Units 1 yd 3 ft 1,000 SI Unit Derived From 0.264 gal Dimensions Dimension Mass 0.0353 ML F-ma (F) newton IN Force (mass (acceleration 1N - 1 I kg 1 Ib 1 shug 1 ton (metric 1 ton (US 2.205 Ib Force A oz cm or ce 33.8 16 oz I ml. 32.2 Ib 1 m 1,000 L. ML? Energy (E) joule E-Fd PI Energy (force) (distance) 1J-1N m -1 2,204.62 Ib 16 d oz pt I gt 2,000 Ib 2 pt ML? (P) watt (W 1w - 1!-1 Power Named Units Power - jenergyi / (time) farad 1 (A s) / V 1 (V s) / A pascal poise 1 Pa IN/ m 1g/ (cm s) 1 em /s Pressure (P) pascal (Pal Pressure force) / (area) P-F/A 1 Pa - 1-1 M henry 1P LT2 1H hertz I Ha 1 St stoke IN m 1 V V IWIA V-P/I Voltage - (power) / (current) ML? joule 1J 1Nm volt Voltage (V) volt 1V -1"-1 T'I 1 (kg m) / s 1v/A newton 1N watt 1 W 1J/s ohm 10 Thinking Like an Engineer 4e An Aetive Learning Agpproach Thinking Like an Engineer 4e An Aetive Learning Approach an. P Cte Geometric Formulas and Physical Constants Table Equations Table (in order of appearance in textbook Geometric Formulas Distance, Velocity and Acceleration Newton's Second Law (8.1 Weight 18.2 Rectangular Parallelepiped Volume - abe Surface Area 2 (ab+aeb e) Rectangle d- vt F - m a w = mg Areaab v -at Perimeter - 2 a+ 2b Density 8.3 Specific Gravity [8.3] Specific Weight [8.3] SG = Pobject Pwater w m V Cirele Sphere Y= Arear Volume -r Molecular Weight 8.4 Molarity Temperature: "F to "C 18.5) Circumference - 2*r Surface Area4sr T[*F] – 32 T["C] – 0 Diameter- 2r MW = V 180 100 Triangle Right Cireular Cone Temperature: "C to K [8.5 Temperature: "F to "R [8.5 Pressure 18.6) Area-bH Volume -rH T (K] = T["C] + 273 T ("R] - T ("F] + 460 F P = Torus Right Circular Cylinder 8.6 ideal Gas Law 18.7) Pascals Law ydrostatic Presure R6 Pressure: Total Volume -r H Volume - 2 R Phydre PgH Protal - Pydre + Purface PV-n RT Lateral Surface Area -2r H Energy: Work [8.8 Energy: Potential [8.8 Energy: Kinetie, translational 8.8 Physical Constants [Value and Units] W - F Ax PE - mg AH KE = m Av? 3x 10 speed of light in a vacuum Energy: Thermal [8.8 Power 8.9 Power 8.9) speed of sound in air (20 "C) 343.59 E Q-m Cp AT P = Pout + Post Euler number (base of natural logarithm) 2.71828.. e elementary charge of an electron 1.602 x 10 "C 9.65 x 10 Efficiency [8.10 Current, elated t charge [8.11) Ohm's Law of Resistance [8.11] F Faraday's constant Pout Pin Q-It V-IR golden ratio 1.61803.. Joule's First Law of Power [8.11 Capacitance, related to charge 8.11] Energy: Capacitor [8.11) acceleration due to gravity 9.8 on Earth; 1.6on Earth's Moon v2 P-VI-=PR R Q-CV E =; Cv? N G gravitational constant 6.67 x 10- k Boltzmann constant 1.38065 x 10 Inductance 8.11 Energy: Inductor [8.11] Hooke's Law for Spring [12.3] dl NA Avogadro number 6.022 x 10 V =La E =LF 2 F-k x ratio of circle circumference to diamcter 3.14159.. Newton's Law of Viscosity [12.3] Kinematic Viscosity [12.3 Elastic Materials Youngs Modulan (12 R ideal gas constant 0.08206 - 8314 PaL Δν 6 = EE melK mal K Ay 11분-1000분-624는 p density of water
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