Since we assume the accelerations are constant, the instantaneous acceleration is the same as the average acceleration, so in the first 6.80 seconds we have
[tex]\alpha_1 = \alpha_{\rm ave} = \dfrac{\Delta \omega}{\Delta t} = \dfrac{8.70\frac{\rm rev}{\rm s}}{6.80\,\rm s} \approx 1.28 \dfrac{\rm rev}{\mathrm s^2}[/tex]
In this time, the tub undergoes an angular displacement of
[tex]\theta_1 = \dfrac12 \alpha_1 (6.80\,\mathrm s)^2 \approx 29.6\,\mathrm{rev}[/tex]
In the next 19.0 seconds the tub has acceleration
[tex]\alpha_2 = \dfrac{-8.70\frac{\rm rev}{\rm s}}{19.0\,\rm s} \approx -0.458 \dfrac{\rm rev}{\mathrm s^2}[/tex]
and in this time, the tube undergoes an additional displacement of
[tex]\theta_2 = \left(8.70\dfrac{\rm m}{\rm s}\right)(19.0\,\mathrm s) + \dfrac12 \alpha_2 (19.0\,\mathrm s)^2 \approx 82.7\,\mathrm{rev}[/tex]
So the tub completes [tex]\theta_1+\theta_2 \approx \boxed{112\,\mathrm{rev}}[/tex].
What does it mean for the forces acting on an object to be balanced?
When the forces are said to be balance, it means that net force is zero.
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
The resultant of all the forces in horizontal and vertical direction is zero, when the forces are balanced.
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A hiker travels 12 km in a direction of 50 degrees west of north. What are the north and west components of this displacement?
The north and west components of this displacement are 9.19 km and -7.71 km respectively.
North component of the displacement
The north component of the displacement is calculated as follows;
Dy = D sinθ
Dy = 12 km x sin50
Dy = 9.19 km
West component of the displacementDx = D x cosθ
Dx = - 12 km x cos(50)
Dx = -7.71 km
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An arrow is shot horizontally from the top of a building and it lands 200m from the foot of the building after 10s. assuming air resistance is negligible, calculate the initial velocity of the arrow, find also the height of the building
The initial velocity and the height of this building are 29 m/s and 780 meters respectively.
How to calculate the initial velocity?In order to calculate the initial velocity, we would apply the second equation of motion:
S = ut - ½at²
200 = u10 - ½(9.8 × 10²)
200 = u10 - 490
u10 = 490 - 200
u10 = 290
u = 290/10
Initial velocity, u = 29 m/s.
Next, we would determine the height of the building:
H = ut + ½at²
H = 29(10) + ½(9.8 × 10²)
H = 290 + 490
Height, H = 780 meters.
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When in contact with hydrochloric acid, which mineral gives off bubbles of carbon dioxide gas?.
Answer:
calcite
Explanation:
What is the resultant of the two vectors shown?
Explanation:
The correct is (c). cuz, the tail of A and the tip of B will join
What observation method exposes people to frustrations, temptations, pressure, and boredom in a controlled environment, and is used for firearms training in police departments?
Virtual reality is the observation method that exposes people to frustrations, temptations, pressure, and boredom in a controlled environment, and is used for firearms training in police departments.
What is virtual reality?Virtual reality is an observation technique that is utilized in police agencies for weapons training. It exposes individuals to frustrations, temptations, pressure, and boredom in a controlled setting.
Police officers' psychophysiological reactions are impacted when participating in virtual reality weapons training exercises.
Electroencephalographic (EEG) and heart rate variability (HRV) measurements, as well as VR simulator performance metrics, are used as outcome measures.
In order to facilitate the design of a biocybernetic adaption layer that generates real-time modulations in simulation difficulty based on specific physiological responses, we propose a psychophysiological model.
Hence, virtual reality is the observation method that exposes people.
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Average speed equals distance divided by time. on a journey to the
alpha centauri star system, a space probe travels a distance of
meters in 1.73x10 10 seconds. (a) find its average speed in
meters per second. (b) how long did the journey take in years? use
365.24 days per year.
4.12x1016
2e-12%
The average speed will be 2.38×10⁶ m/sec.The average speed of an object indicates the pace at which it will traverse a distance. The metric unit of speed is the meter per second.
What is the average speed?The total distance traveled by an object divided by the total time taken is the average speed.
The speed calculated at any particular instant of time is known as the instantaneous speed.
Given data;
Distance travelled = 4.12x10¹⁶ meter
Time period= 1.73x10¹⁰ sec
The average speed is found as
[tex]\rm V_{avg}= \frac{d}{t} \\\\\ \rm V_{avg}= \frac{4.12 \times 10^{16}}{1.73 \times 10^{10} } \\\\\ V_{avg}=2.38 \times 10^6 \ m/sec[/tex]
Hence, the average speed will be 2.38×10⁶ m/sec.
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how many wavelengths are represented
Answer:
two wavelength are present
as wavelength is counted either from crest to crest or trough to trough and there are only 2
two conducting spheres
Answer:
[tex]\fbox {F: +3C, G: +3C}[/tex]
Explanation:
When two conducting spheres come in contact, their charges will become the mean of their charges. This takes place by the transfer of charges from the greater charged sphere to the lesser charged one.
Then :
⇒ F + G / 2
⇒ -14 + 20 / 2
⇒ 6/2
⇒ 3C
∴ Hence, both sphere F and sphere G will have a charge of +3 C.
Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects
reach the same height what is the ratio of their velocities Va and Vb
A). 3:1
B). 2:1
C). 1:1
D). 2:1
If both objects reach the same height, the ratio of their velocities Va and Vb is 3:1. The correct option is A.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.
Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects reach the same height.
The maximum height of the objects A and B are same, so
H = Va² sin²30 / 2g = Vb² sin²60 / 2g
Va²/Vb² = sin²60/ sin²30
Va/Vb = 3:1
Thus, the correct option is A.
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Which would most likely cause a decrease in the rate of energy production in a fusion nuclear reactor? a drop in the temperature in the reactor an increase in the number of neutrons in the reactor an increase in the amount of nuclear fuel used in the reactor a drop in the number of reactions that involve the splitting of nuclei
A drop in temperature would most likely result in a decline in the rate of energy production in a fusion nuclear reactor.
What is nuclear power?The utilization of nuclear reactions to generate energy is known as nuclear power.
Nuclear power facilities produce the great bulk of the electricity generated by nuclear fission of uranium and plutonium.
The environment should be hot enough for the deuterium and tritium ions' kinetic energies to be sufficient to break through the Coulomb barrier and fuse together.
Therefore, a decrease in temperature would most likely cause a decrease in the rate of energy production in a fusion nuclear reactor.
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someone help real quick please
On one run along a measured distance of 200 m, the bicycle's speed is 40 m/s.
(a) Calculate the time taken by the bicycle to travel this distance.
(b) State the formula you use and show your working.
Answer:
5 sec
Explanation:
The formula for speed is distance/time taken. so if we use cross multiplication we get distance = speed x time taken. And to get rid of speed we divide both equations by speed like this distance = speed x time taken
speed speed
We cancel out speed by speed and we get this formula to calculate time.
time taken = distance
speed
Now we got the formula we need so we substitute them by their values.
time taken = 200m
40m/s
We cancel meter by meter and divide 200 by 40 and the answer will be 5 seconds. please give me like, thank me and make my answer the brainliest.
How many electrons or protons are found in: a). +1 C of charge? b). -1 C of charge? c. -1.6 x 10^-6 C of charge? a)
Answer:
50 charges
Explanation:
it will deduct and mutiple it self and divide
Siobhan wants to measure the mass of the bag of flour.what should she do?
Answer:
Weight it in beam balance or any other weight mesuring device
Which two changes would decrease the electric force between two charged particles? A. Decrease the charge of one of the particles. B. Increase the charge of one of the particles. C. Increase the distance between the particles. D. Decrease the distance between the particles. E. Increase the charge of both particles. Which two changes would decrease the electric force between two charged particles ? A. Decrease the charge of one of the particles . B. Increase the charge of one of the particles . C. Increase the distance between the particles . D. Decrease the distance between the particles . E. Increase the charge of both particles .
Answer:
A C
Explanation:
F = C q1q2/r^2 means that decreasing the charge (s) or increasing distance will decrease force
A C
look at picture below !! please <3
Answer:
C
Explanation:
compound is a substance made from two or more different elements that have been chemically joined
Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. How long will the ball be in the air before it lands? Round your answer to the nearest tenth.
s
How far will the football travel before it lands? Round your answer to the nearest tenth.
m
Answer:
See below
Explanation:
vertical velocity=13.9 sin 25
When it hits the ground y = 0
0 = vo t - 1/2 a t^2
0 = 13.9 sin 25 t - 1/2 (9.81)t^2
0 = 13.9 sin 25 - 1/2 (9.81) t shows t = 1.1976 ~ 1.2 sec
horizontal speed x time = distance
13.9 cos 25 x 1.1976 =15 .1 meters
Analyze the relationship between total internal reflection and the critical angle.
Answer:
5.15 when the angle of incidence is equal to critical angle the angle of reflection is equal to 90 if the angle of incidence is bigger than the critical anger the reflected ray will not emerge from the medium but will be reflected back into the medium this is called total internet reflection
Explanation:
hope it's helpful
A 10 kg ball Is released from the top of the hill how fast is the ball going when it reaches the base of the hill
The velocity of the ball going when it reaches the base of the hill will be 5.5 m/sec.
What is velocity?The change of distance concerning time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The complete question is;
A 10 kg ball is released from the top of a hill. How fast is the ball going when it reaches the base of the hill? Approximate g as 10 m/s2 and round the answer to the nearest tenth.
hy = 2 m
h = 0.5 m
The given data in the problem is
m is the mass of block = 10 Kg
u is the initial velocity of fall = 0 m/sec
h is the distance of fall = 2.5 m
g is the acceleration of free fall =10 m/sec²
v is the hitting velocity of =?
According to Newton's third equation of motion;
[tex]\rm v^2=u^2+2g(h_2-h_1) \\\\ \rm v^2=0+2g(h_2-h_1) \\\\ v = \sqrt{2g(h_2-h_1)}\\\\ v = \sqrt{2 \times 9.81 \times (2-0.5)|}\\\\ v =\sqrt{2 \times 9.81 \times 1.5 } \\\\ v = 5.5 \ m/sec[/tex]
Hence, the velocity of the ball going when it reaches the base of the hill will be 5.5 m/sec.
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A firework with a mass of 1.5 kg shoots up into the air with a velocity of 25 m/s. It then explodes. Use this information to work out the total momentum of all the pieces after the firework explodes
Answer:
37.5 kg⋅m/s
Explanation:
p = mv
p = (1.5)(25) = 37.5 kg⋅m/s
Momentum is conserved in all collisions and explosions!
My predicted height was lower than the final height i measured. this is because friction slowed the puck as it was sliding along the track. do you agree or disagree with khadija
I disagree since friction will cause the ultimate height to be lower than what was anticipated. To reduce the height, resist the action.
What is the height?
The vertical distance between an object's top and the bottom is defined as its height.
It is measured in centimeters, inches, meters, and other units. The height of the cliff is obtained by the Newton equation of motion.
My actual height was less than what I had anticipated. this is because the puck's movement along the track was impeded by friction.
To the Khalida, I object. Disagree, since friction will cause the ultimate height to be lower than the anticipated height. To reduce the height, resist the action.
Hence, I disagree with Khalida.
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A car accelerates from a standstill to 60 km/hr in 10.0 seconds. What is its acceleration?
The acceleration of the car is 1.66 m per sec square.
How to calculate acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.
Initial velocity=0
Final velocity= 60km/hr
To convert it into m/sec
1 km=1000 m
1 hr=3600 sec
So= (60×1000)÷3600=16.66 m/sec
time=10 sec
We know that acceleration is the rate of change of velocity per unit of time.
acceleration=(final velocity-initial velocity)÷ time taken
= (16.66-0)÷10
= 1.66 m per sec square
So, Acceleration will be, 1.66 m per sec square
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Trivia Time!! At what velocity does light move?
Explanation:
Light Light from a moving source travels at 300,000 km/sec (186,000 miles/sec).
Note:
The Speed of Light Is Constant.
Explanation:
LIGHT TRAVELS AT A CONSTANT VELOCITY OF 300,000 km/sec.
A car accelerates at a rate of 8.8 m/s² with a force from the tires of 15,840 N.
What is the mass of the car?
Answer:
1,800kg
Explanation:
Force = Mass x Acceleration
F = m x a
15840N = m x 8.8
8.8 x m = 15840
m = 15840/8.8
= 1,800kg
Answer:
[tex]\displaystyle 1800\:kg.[/tex]
Explanation:
[tex]\displaystyle am = F_{net} \\ \\ \frac{15840}{8,8} = \frac{8,8m}{8,8} \\ \\ \boxed{1800 = m}[/tex]
I am joyous to assist you at any time.
You should switch your headlights from high beam to low beam when a vehicle approaching from the opposite direction gets no closer than____ feet away from you.
You should switch your headlights from high beam to low beam when a vehicle approaching from the opposite direction gets no closer than 492.126 feet away from you.
What is a low beam?Low beams, often known as dipped beams have a close-range focus. The most crucial and commonly utilized beam in an automobile is the low beam.
When a car coming from the other direction is no closer than 492.126 feet away from you, you should lower your headlights from high to low beam.
Hence, a vehicle approaching from the opposite direction gets no closer than 492.126 feet away from you.
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give two reasons why carbon brushes and commutators are made of graphite?
Answer:
Graphite is a good conductor of electricity
it allows easy shift of current between the comm
Explanation:
Which vector shows the velocity of the yo-yo at this moment?
The vector which shows the velocity of the yo-yo at this moment is A and is denoted as option A.
What is Velocity?This is referred to the rate of change of distance with time and the unit is metre per seconds.
A shows the direction of motion is same as the direction of velocity and is the tangent at that particular point hence why it was chosen as the most appropriate choice.
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Which of the following would increase the amount of electricity generated by a wind turbine
Higher wind speeds would increase the amount of electricity generated by a wind turbine.
What is a power plant?A power plant is an industrial structure that generates electricity. The majority of power plants are linked to the electrical grid.
Stronger winds produce greater power because they enable the blades to revolve more quickly. Greater mechanical and electrical power from the generator result from faster spinning.
Hence, higher wind speeds would increase the amount of electricity generated by a wind turbine.
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Electric Resistance measured in?
Answer:
ohms
Explanation:
because it deal with circuit
Electric resistance is measured in Ohms.
What is an Electric resistance?A electric resistance can be defined as the opposition to current flow in a conductor.
From ohms law, an electric resistance can be determined using the formula below.
Formula:
V = IR.............. Equation 1Where:
V = VoltageI = CurrentR = Electric resistanceAlso,
V is measured in VoltsI is measured in AmpereR is measured in Ohms.Hence, Electric resistance is measured in Ohms.
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A.
emotional health : expressing feelings
B.
physical health : respecting others
C.
mental health : living in harmony with the environment
D.
social health : getting adequate sleep
Emotional health: expressing feelings is the phrases that belong together. The best answer from the choices provided willl be A.
What is good Health?The condition of complete physical, mental, and the absence of sickness and disability is called good health.
Which of the following phrases belong together?
A.
emotional health: expressing feelings
B.
physical well-being: regard for others
C.
Social health: obtaining enough sleep
D
Mental health: living in harmony with the environment
The concepts "emotional wellness" and "expressing feelings" go hand in hand. The best response from the available options is going to be A.
Hence, the best answer from the choices provided willl be A.
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