Answer:
A. °C
Explanation:
[tex]{ \sf{degree \: celcius}}[/tex]
Answer:
Symbol k represent SI UNITS
Explanation:
What is an electricity?
Explanation:
Electricity is the flow of electrical power or charge.
the
four particles form a square of edge
length a 5.00 cm and have charges
q1 10.0 nC, q2 20.0 nC, q3
20.0 nC, and q4 10.0 nC. In unitvector notation, what net electric field
do the particles produce at the square’s
center
Answer:
500 in unitivector notion
A 67 kg man stands at the front end of a uniform boat of mass 179 kg and of length, L = 2.5 m. Assume there is no friction or drag between the boat and water.
(a) What is the location of the center of mass of the system when the origin of our coordinate system (i) on the man's original location (ii) on the back end of the boat? [4 marks]
(b) If the man walks from the front end to the back end of the boat, by how much is the boat displaced? [3 marks]
(c) Now consider the man and his friend with identical mass of 67 kg are rowing the boat on a hot summer afternoon when they decide to go for a swim. The man jumps off the front of the boat at speed 3 m/s and his friend jumps off the back at speed 4 m/s. If the boat was moving forward at 1.5 m/s when they jumped, what is the speed of the boat after their jump?
Answer:
Explanation:
ai. com=(67*0+179*1.25)/(179+67)=0.91m
ii. com=(67*2.5+179*1.25)/(179+67)=1.59m
b. 0.91=(67(2.5-d)+179(1.25-d))/(179+67)
d=0.68m
c. 1.5=(67*-3+67*-4+179*v)/(67+67+179)
v=5.24m/s
The answers to your question are ;
A) Location of the center of the mass of system when origin of coordinate system is
i) On the original location of man = 0.91 m
ii) On back end of boat = 1.59 m
B) The boat is displaced by = 0.68 m
C) speed of boat after their jump ( V ) = 5.24 m/s
Given data :
mass of man = 67 kg
mass of boat = 179 kg
length of boat = 2.5 m
assumptions : No friction/drag force
Solutions
A) determine location of center of mass
i) On the man's original location = 0
= ( mass of man * 0 + mass * 1.25 ) / ( mass of boat + mass of man)
= ( 0 + 179 * 1.25 ) / ( 179 + 67 )
= ( 0 + 223.75 ) / ( 246 ) = 0.9096 ≈ 0.91 m
ii) On the back end of the boat
= ( mass of man * length of boat + mass of boat * 1.25 ) / ( mass of boat + mass of man )
= ( 67 * 2.5 + 179 * 1.25 ) / ( 179 + 67 )
= ( 167.5 + 223.75 ) / ( 246 ) = 1.590 m
B) By How much is the boat displaced ( d )
0.91 ( location of center of mass from man's original location )
0.91 = ( 67 * (2.5 - d) + 179 ( 1.25 - d ) ) / ( 179 + 67 )
= ( 67 * ( 2.5 - d ) + 223.75 - 179d )) / ( 246 )
∴ d ≈ 0.68 m
C) Determine speed of boat after the jump
Initial speed of boat = 1.5 m/s
hence speed after the jump ( v )
speed of first man = 3 m/s
speed of second man = 4 m/s
1.5 m/s = ( 67 * -3 + 67 * -4 + 179 * v ) / ( 67 + 67 + 179 )
= ( - 201 + -268 + 179v ) / ( 313 )
∴ v ≈ 5.24 m/s
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value of g is independent of
Answer:
mass
Explanation:
The value of g (acceleration due to gravitation) is independent of the mass of the object.
60.96-mile distance in kilometers
Answer:
98.105610 Kilometers
Explanation:
Rounded to 8 digits
Answer:
98.11 km
Explanation:
60.96 mi (5280ft/mi)(12 in/ft)(2.54 cm/in)(1 m/ 100cm)(1 km/1000 m) = 98.10561024 km
however, reporting this precision to the nearest hundred millionth of a kilometer is silly as we only know the mile dimension to the nearest hundredth of a mile.
A hundredth of a mile is 5280/100 = 52.8 ft or just over 16 m
It would only be a little bit of a presumption to give our precision to the nearest 10 meters as I have done.
This also fits neatly into the significant digits rule. Both the original dimension and the converted dimension have four significant digits.
Differences between law of flotation and Archimedes's principle
Answer:
Differences between law of flotation and Archimedes's principle
here
Explanation:
Which Scientist discovered
atomic Theory?
Answer:
John dalton discovered
I'm completely stumped as to how to do this.
I know the components of f1 are f1x= 1600, f1y=0, f2x= 433 f2y=250 and f3x= 467
Explanation:
You have already determined the components of the known forces so I won't repeat your work here. Since the resultant force [tex]\vec{\textbf{R}}[/tex] and F1 are completely along the x-axis, we can conclude that
[tex]F_{2y} = F_{3y} \Rightarrow F_{3y} = F_3\cos{\theta} = 250\:\text{lb}[/tex]
We can now solve for the magnitude of [tex]F_3:[/tex]
[tex]F_3 = \sqrt{F_{3x}^2 + F_{3y}^2} = \sqrt{(467)^2 + (250)^2}[/tex]
[tex]\:\:\:\:=529.7\:\text{lb}[/tex]
The angle [tex]\theta[/tex] is then
[tex]\tan{\theta} = \dfrac{F_{3y}}{F_{3x}} = \dfrac{250}{467}[/tex]
or
[tex]\theta = 49.2°[/tex]
a sound wave of frequency 1210 Hz has a wave speed of 343 m/s. what is the wavelength of the wave?
Answer:
wavelength = 0.28m
Explanation:
wavelength = velocity/ frequency
wavelength = 343/1210 = 0.28m
a ball is moving with a velocity of 0.5 m/s its velocity is decreasing at the rate of 0.05 m/s² what is its velocity in 5 seconds? how much time will it take from start to stop?what is the distance to travelled by it before stopping?
Answer:
v after 5s = 0.25 m/s, it took 10s to stop, it has traveled 2.5m before stopping
Explanation
We can use the equation of motion with constant acceleration
Given: v0= 0.5 m/s a= -0.05 m/s²
v(5s) = v0 + a×t = 0.25 m/s
Stop => v=0 => v0 + a×t = 0 => t=10s
Distance at t=10s ⇒ x(10) = 0.5×10 + 0.5x(-0.05)x10² = 2.5m
how to determine the volume of a human body
Answer:
Determine the volume of a human body to use the mass and density of water displaced to calculate the volume of the water displaced.
Answer:
According to me the volume of a human body can me determined by means of the displacement method
Explanation:
if you immerse you body in a drum of water of a known volume, the water displaced is equal to your volume
What happens if you go through a black hole ?
Explanation:
The intense gravity of the black hole would pull you apart, separating your bones and muscles.
An electric field is associated with every:____.
a. position-dependent magnetic field.
b. time-dependent magnetic field.
c. conductor moving in a magnetic field.
d. object moving in a magnetic field.
e. magnetic field.
Answer:
b. time-dependent magnetic field.
An electric field is associated with every time-dependent magnetic field.
What is electric field?An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. Additionally, it refers to a system of charged particles' physical field. The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.
An electric field is produced by a time-varying magnetic field. The first law of Faraday states that an electromotive force is always produced when a conductor is exposed to a changing magnetic field. Induced current is the term for the current that results when the conductor circuit is closed.
An electric field is associated with every time-dependent magnetic field.
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9.1 x 105 – 7.2 x 105
=
Answer:
1.9 x 10⁵
Explanation:
I ASSUME your question is supposed to read
9.1 x 10⁵ – 7.2 x 10⁵ =
9.1 - 7.2 = 1.9 and the powers are the same so just tag them along
its the same as
910000 - 720000 = 190000
1.9 x 105 could be another possibility if the question is actually posed correctly.
If a horse can trot with an average velocity of 13 km/h, how far can it travel in
8 hours?
A. 2 km
B. 104 km
C. 35 km
D. 78 k
Answer:
104 km
Explanation:
Displacement = Velocity x Time
= 13 x 8
= 104 km
which part of vernier caliper is used to measure internal diameter of cylinder
Answer:
Circled in Red...plus the scales, of course.
Explanation:
What is the amount of force exerted by gas particles?
Answer:
Pressure is the force divided by the area on which the force is exerted, and temperature is measured with a thermometer. We gain a better understanding of pressure and temperature from the kinetic theory of gases, which assumes that atoms and molecules are in continuous random motion.
The length, breadth and height of a box is 50cm, 20cm and 10cm respectively then find surface area of its base and volume.
I just hope this pic will help you
Electromagnetic waves transport energy.
a. True
b. Fasle
Answer:
a
Explanation:
energy is transferred in electromagnetic waves
Name another way that energy is made
Answer:
The three major categories of energy for electricity generation are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. Most electricity is generated with steam turbines using fossil fuels, nuclear, biomass, geothermal, and solar thermal energy.
Explanation:
Solar
Wind
Geothermal
Hydrogen
TidaWave
Hydroelectric
Biomass
in the same viewing window. Compare the magnitudes of f (x) and g(x) when x is close to 0. Use the comparison to write a short paragraph explaining why
Answer:
Due to inertia of restttttttrestrestrestrest
astone is thrown upwards with an initial velocity of 25m/s atan angle of 30 to the ground.what is the work out the stones horizantal range ?
Answer:
Range is 62.5 metres
Explanation:
Time of flight
[tex]t = \frac{2u \sin( \theta) }{g} [/tex]
for range, acceleration is zero
from second newton's equation:
[tex]S = ut + \frac{1}{2} {at}^{2} [/tex]
but a = 0:
let range be x:
[tex]x = ut \\ x = \frac{2 {u}^{2} \sin( \theta) }{g} \\ \\ x = \frac{ \{2 \times 25 {}^{2} \sin(30 \degree) \}}{10} \\ \\ x = 62.5 \: metres[/tex]
[ taken g to be 10 m/s² ]
A lad, waiting for his friend walks in the sidewalk, in front of her house, from the front door, first, he moves towards the Positive x-axis, 5 m, then goes back, 6 m. What is his total displacement from his original position? Displacement is a vector quantity whilst, distance is a scalar quantity.
His total displacement from his original position is -1 m
We know that total displacement of an object from a position x to a position x', d = final position - initial position.
d = x' - x
If we assume the lad's initial position in front of her house is x = 0 m. The lad then moves towards the positive x-axis, 5 m. He then ends up at x' = 5 m. He then finally goes back 6 m.
Since displacement = final position - initial position, and his displacement is d' = -6 m (since he moves in the negative x - direction or moves back) from his initial position of x' = 5 m.
His final position, x" after moving back 6 m is gotten from
x" - x' = -6 m
x" = -6 + x'
x" = -6 + 5
x" = -1 m
Thus, his total displacement from his original position is
d = final position - initial position
d = x" - x
d = -1 m - 0 m
d = -1 m
So, his total displacement from his original position is -1 m
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An oil tanker has a mass of 400,000 tonnes. It is 500m long and 40m wide.
A.What is the minimum depth of the harbor it requires.?
B. Calculate the downward force
C. State the upward force
D. Draw a diagram to show the forces acting on the tanker.
Archimedes' principle allows us to solve this problem, find:
a) the submerged part h = 2.04 m
b) the downward force W = 3.9 10⁹ N
c) the upward force B = 4 10⁸ N
d) The free-body diagram attach
The parameters given
* The tanker mass with oil M = 400000 Tonnes (10³ kg/1 tonn) = 4 10⁸ kg
* The length and width of the tanker l = 500m and w= 40m
To find
* the submerged part of the tanker
* The force in the tanker
* free body diagram
Fluid mechanics exercises, the Archimedes' principle says that the hydrostatic thrust of a fluidIn on a body is equal to the weight of the desalted liquid.
B = [tex]\rho \ g \ V_{body}[/tex]
Where ρ is the density of the fluid in this case water (ρ = 1000 kg /m³), g is the acceleration of gravity (g = 9.80 m / s²) and V_{body} is the volume of the tanker.
a) In the attached diagram we can see the forces involved, we apply the equilibrium equation
B - W = 0
The volume of the submerged tanker is
V_{body} = l w h
Where l and w are the length and width of the tanker and h is the submerged quantity
We substitute
ρ g (l w h) = W
[tex]h = \frac{W}{\rho \ g\ l \ w}[/tex]
We calculate
h = 4 10⁸ / (10³ 9.8 500 40)
h = 2.04 m
The submerged quantity of tanker using Archimedes' principle is
h = 2.04m
b) The downward force on the tanker's weight
W = m g
W = 4 10⁸ 9.80
W = 3.9 10⁹ N
c) the upward force is the thrust
B = ρ g
B = 1000 9.8 (500 40 2.04)
B = 4 10⁸ N
d) in the attachment we can see a free body diagram with the two forces on the tanker: the weight down and the fluid push up
Archimedes' principle allows finding the submerged part of the tanker
h = 2.04 m
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When a piece of metal mass of 72.17 g is
dropped into a graduated cylinder containing
20.92 mL of water, the water level rises to
26.64 mL. What is the density of the metal?
Answer in units of g/cm3
.
Answer:
Explanation:
The trick is in finding the volume.
Final Volume = 26.64
Initial Volume=20.92 Subtract
Metal Volume 5.72 cm^3
Density = mass / volume
Density = 72.17 / 5.72
Density = 12.617
plzzzzzzzzzzzz somebody help, plzzzzzzzz this is important. where are the geniuses out there please help. Thanks in advance .
Four forces act as shown in the
diagram below, calculate their
resultant.
12N
10N
40
30
60°
15N
9N
iAnswer:
The resultant vector force = 6.96i - 9.27j
The magnitude = 11.6N
The direction= -53.1 °
Explanation:
i= 10×cos(30) + 15×cos(-60) + 9×cos(-90) + 12×cos(140) = 6.96
j= 10×sin(30) + 15×sin(-60) + 9×sin(-90) + 12×sin(140) = -9.27
A racecar races on a circular race track. Calculate the average racing speed given that
distance around the track is 2500 m and the racecar does it in 40 seconds.
Answer:
Below
Explanation:
You can use this formula to find the average speed or velocity of an object
speed = displacement / elapsed time
Plugging in our values....
speed = 2500 m / 40 seconds
= 62.5 m/s
*if your teacher required you to round to significant figures, you would round this number to 60, as 40 seconds only has 1 significant figure (the number with the least amount of sig figs determines the number of sig figs in the final answer)*
Hope this helps! Best of luck <3
PLEASE HELP
You are given a liquid mixture to identify as a colloid, suspension, or solution. When you shine light from a laser pointer you can see the beam spread out in the mixutre. Only some light passes through. What is the next test you should perform to determine the type of mixture?
Heat the mixture to evaporate the water.
Shine the light through again several times.
Wait to see if the particles settle out of the mixture.
Shake the mixture.
Waiting to see if the particles settle out of the mixture will be the next test to perform to determine the type of mixture.
What is a Mixture?This comprises of two or more substances which aren't chemically bonded together.
Suspension is a heterogeneous mixture that settle out of solution while colloid is a heterogeneous mixture that do not settle out of solution which is why option C was chosen.
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thanks for the points :D
In the construction of a bridge kinetic energy was used and now has what kind of energy?Solar Energy, Gravitational Potential Energy, Mechanical Energy, Thermal Energy
Answer:
potential energy
Explanation:
Based on energy transformation
Which of the following is NOT an important phenomenon that commonly erodes and weathers exposed rock outcrops to form sedimentary material?
a) Lightning
b) Wind
c) Rain
d) Freezing/Thawing
Answer:
Explanation:
While each of these can cause erosion and weathering, lightning is probably the least important as it occurs less frequently and affects a much smaller surface area when it strikes.
Wind is not very effective by itself, but it can carry abrasives which work to degrade rock surfaces. It covers a very large area at once so the net effect can be moderate to large especially desert areas where plants are not readily available to disrupt the flow.
Rain covers huge areas and is quite common.
Freezing/Thawing cycles cover large areas and are quite common in the temperate and arctic latitudes and even in tropical altitudes.
Attached is a photo taken atop Half Dome in Yosemite National Park showing two of thousands of divots in the rock there caused by lightning strikes. The current in the lightning heats the stone causing water trapped in it to flash to steam. The increased pressure inside the stone can overwhelm the material strength and blow rock chunks over a fairly good sized area. This is a fairly rapid weathering and erosion when it occurs, but that is typically limited to a few dozen days per year and occurs mostly on high ground where lightning is more likely to strike earth.
