The temperature to which it must be heated in order to fit the shaft is 73.33 ⁰C.
Linear expansivity
The temperature to which it must be heated in order to fit the shaft is calculated as follows;
[tex]\frac{\Delta L}{L} = \alpha \Delta T\\\\\Delta T = \frac{\Delta L}{\alpha L}[/tex]
where;
ΔT is change in temperatureΔL is change in length = 50.04 mm - 50 mm = 0.04 mmα is coefficient of linear expansionL is original lengthΔT = (0.04)/(50 x 15 x 10⁻⁶)
ΔT = 53.3 ⁰C
Final temperatureT₂ - T₁ = ΔT
T₂ = ΔT + T₁
where;
T₂ is final temperatureT₁ is initial temperatureT₂ = 53.3 + 20
T₂ = 73.33 ⁰C
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A tennis player tosses a tennis ball straight up and then catches it after 2.07 s at the same height as the point of release.
(a) What is the acceleration of the ball while it is in flight?
magnitude
m/s2
direction
upward
(b) What is the velocity of the ball when it reaches its maximum height?
magnitude ms
direction
downward
magnitude in zero
(c) Find the initial velocity of the ball.
m/s upward
(d) Find the maximum height it reaches.
m
(a) The ball will accelerate at a speed of 9.81 m/s² while it is in flight.
(b) The ball will be moving at a speed of 0 m/sec when it reaches its highest point.
(c) The ball's initial upward velocity is 20.30 m/s.
(d) It will reach a maximum height of 21.0 m.
What is speed?Speed is defined as the change in distance with regard to time. A scalar quantity, speed. It is a temporal element, m/sec is its unit.
The information provided in the issue is;
u is the fall's beginning speed in m/sec;
h is the fall's distance
g is the fall's acceleration or 9.81 m/sec²
a. The ball's speed while in flight is equal to the acceleration caused by gravity, which is 9.81 m/s².
b. When the ball reaches its highest point, its velocity will be zero.
c. The ball's starting velocity is;
v=u-gt
0=u-gt
u=gt
u=9.81 m/s² × 2.07 sec
u=20.30 m/s
d. The formula is used to determine the highest height it can reach.
[tex]\rm u^2 = - 2gh \\\\ (20.30)^2 = -2 \times (-9.8) \times h \\\\ 412.09 = 19.6 \times h\\\\ h = 412.09/19.6\\\\ h = 21.00 m[/tex]
As a result, the ball's greatest height, beginning velocity, and acceleration are all 9.81 meters per second, zero meters per second, 20.30 meters per second, and 21 meters accordingly.
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I don’t not get anything to do with this question
Answer:
C
Explanation:
Mechanical energy = kintetic energy + grav potential energy
ME = KE + GPE <==== re-arrange
GPE = ME - KE <==== KE = 1/2 m v^2
GPE = ME - 1/2 mv^2
What is the magnitude of the displacement?
A) 20 m
What is called magnitude of displacement?
The magnitude of displacement is defined as the shortest distance between the initial and final position of the object.
For a particle in motion, the magnitude is either less than or equal to the distance travelled.
Also,
Velocity is simply defined as the rate of change of displacement with time.
Mathematically, it can be expressed as:
Velocity = displacement / time
According to the question,
The following data were obtained:
Time = 5 s
Velocity = 4 m/s
Displacement =?
Velocity = displacement / time
4 = d / 5
D = 4 × 5
D= 20 m
Hence,
20 m is the magnitude of the displacement of the object after it travelled for five seconds.
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What is resistance force?
A. The force opposing the effort
B. The force exerted by the machine
C. The work put into a machine
D. A force that improved on your effort?
Answer asap
Answer:
A
Explanation:
resisting is doing something that goes against what something or someone is doing therefore the resisting force is the opposing force
how does the electric force vary with distance
A rocket starting from its launch pad is subjected to a uniform acceleration of 100 meters/second2. Determine the time needed to reach the final velocity of 1,000 meters/second.
Answer:
10s
Explanation:
Acceleration is a measure of a rate of change of velocity, or in other words, a measure of how quickly the velocity is changing.
If acceleration is constant, then the velocity is changing by a constant amount.
With an acceleration of 100 m/s^2, starting from the launching pad (and thus, an initial velocity of zero), we can calculate how long it will take to reach a final velocity of 1000m/s with the following formula:
[tex]v=at+v_o[/tex] where "v" is the final velocity at some later time "t", "a" is the constant acceleration, and "v" sub-zero is the initial velocity.
[tex]v=at+v_o[/tex]
[tex](1000\text{ [m/s]})=(100 \text{ } [\text{m/s}^2] )t+(0\text{ [m/s]})[/tex]
[tex]1000\text{ [m/s]}=100 \text{ } [\text{m/s}^2] *t[/tex]
[tex]\dfrac{1000\text{ [m/s]}}{100 \text{ } [\text{m/s}^2]}=\dfrac{100 \text{ } [\text{m/s}^2] *t}{100 \text{ } [\text{m/s}^2]}[/tex]
[tex]10\text{ [s]}=t[/tex]
So, it will take 10 seconds for the rocket to reach 1000m/s when starting from the launching pad, with a constant velocity of 100m/s^2.
Verification:
In this situation, it is quick to verify that 10 seconds is correct by looking at what the velocities will be each second.
Recognizing that the acceleration is [tex]a=\dfrac{100 [\frac{m}{s}]}{1[s]}[/tex], the velocity increases by 100 units [m/s] every second.
At time 0[s], the velocity is 0[m/s]
At time 1[s], the velocity is 100[m/s]
At time 2[s], the velocity is 200[m/s]
At time 3[s], the velocity is 300[m/s]
At time 4[s], the velocity is 400[m/s]
At time 5[s], the velocity is 500[m/s]
At time 6[s], the velocity is 600[m/s]
At time 7[s], the velocity is 700[m/s]
At time 8[s], the velocity is 800[m/s]
At time 9[s], the velocity is 900[m/s]
At time 10[s], the velocity is 1000[m/s]
So, indeed, after 10 seconds, the velocity reaches 1000 m/s
. population is of great importance in the economic development of Country Explain this statement with four point.
yes
Explanation:
it develops alot of trade
28. An electron with a speed of 4.0 x 10° m/s enters a uniform magnetic field of magnitude 0.040 T at an angle of 35 degrees to the magnetic field lines. The electron will follow a helical path. a) Determine the radius of the helical path. b) How far forward will the electron have moved after completing one circle?
The radius of the helical path and the period of the electron are 3. 26* 10^-10m and 8.94*10^-10m respectively.
How to determine the radiusUsing the formula:
r = [tex]\frac{mvsin \alpha }{Bq}[/tex]
m = 9.109 × 10-31 kg
α = 35°
B = 0. 040 T
q = 1.6 × 10-19 C
Substitute values into the formula
[tex]r = \frac{9. 109 * 10^-31 * 4.0 * 10^0 * sin 35}{0. 040 * 1.6 * 10^-19 }[/tex]
[tex]r = \frac{2. 089 * 10^-30}{6. 4* 10^-21}[/tex]
[tex]r = 3. 26 * 10^-10[/tex] m
b. [tex]T = \frac{2\pi m}{qB}[/tex]
[tex]T = \frac{2 * 3.142 * 9.109 *10^-31}{1.6* 10^-19* 0.040}[/tex]
[tex]T = \frac{5. 72* 10^-30}{6. 4* 10^-21}[/tex]
[tex]T = 8. 94* 10^-10[/tex]
Therefore, the radius of the helical path and the period of the electron are 3. 26* 10^-10m and 8.94*10^-10m respectively.
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please help me there
Answer:
when switch is off no electricity will flow and then the circuit is called an open circuit
Explanation:
Electricity will not flow in open circuit
An open bed truck is moving at 20 m/s and comes to a stop. A 100 kg crate sitting in the back of the truck remains at rest in the truck bed. How much work was done by friction to keep the crate from moving
as the truck came to a stop?
[?] J
The work done was done by friction to keep the crate from moving as the truck came to a stop is 20,000 J.
Work done by friction to prevent the crate from moving
The work done is determined by applying the principle of conservation of energy.
W = K.E
W = ¹/₂mv²
where;
m is mass of cratev is speed of the crate with respect to the truck = 20 m/sW = ¹/₂(100)(20²)
W = 20,000 J
Thus, the work done was done by friction to keep the crate from moving as the truck came to a stop is 20,000 J.
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Which characteristic of a sound wave is directly related to the loudness of the sound?
The characteristic of a sound wave that is directly related to the loudness of the sound is amplitude.
What is sound waves?Sound wave is a type of wave that is produced by the vibration of objects which can be heard only if it's of high frequency.
The properties of sound waves include:
loudness or volumeamplitude,quality.The characteristic of a sound wave that is directly related to the loudness of the sound is amplitude. That is, a larger amplitude means a louder sound, and a smaller amplitude means a softer sound.
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Find the magnitude of this
vector:
174 m
N
188.4 m
HELP FAST
Answer:
195.168 m
Explanation:
To find the magnitude of the vector you can use the Pythagorean Theorem since you have the height and base and the vector is really just the hypotenuse
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Plug values in
[tex]88.4^2+174^2=c^2[/tex]
Simplify
[tex]7814.56+30276=c^2[/tex]
Add the two values
[tex]38090.56=c^2[/tex]
Take the square root of both sides
[tex]195.168\approx195.168[/tex]
Adults sometimes lump all "screen time" together—social media, music videos, games and so on. Is this valid, or are there distinct differences among different types?
Answer:
it’s all time on the Screen so it should be counted as one thing they are different things that you have different timelines for each category
Since everything is happening at once on the screen, even though there are distinct events with separate timings for each category, it should all be considered one item.
What are social media ?Websites and programs that place a high value on community involvement, content sharing, collaboration, and social interaction are referred to as social media. Social media is used by people to interact and communicate with their friends, family, and other groups.
Why is social media so important?It is a helpful tool for talking with individuals locally and internationally as well as for generating, sharing, and spreading information. Social media has the power to influence consumer buying decisions via reviews, marketing, and marketing tactics.
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A figure skater glides along a circular path of radius 6.70 m. If she coasts around one half of the circle, find the following.
(a)her distance (in m) from the starting location
(b)the length (in m) of the path she skated
(a) Her distance from the starting location is 21.05 m.
(b) The length of the path she skated is 21.05 m.
Distance of the skater from the starting positionThe distance around a complete circular path is calculated as 2πr.
The distance for a half circle is calculated as ¹/₂ x 2πr = πr
Distance from the starting location = π x 6.7 m = 21.05 m
The length of the path she skated is the same as her distance from the starting location = 21.05 m.
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(a) Calculate the tension in a vertical strand of spiderweb if a spider of mass 5.00 ✕ 10-5 kg hangs motionless on it.
N
(b) Calculate the tension in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.13. The strand sags at an angle of 10.0° below the horizontal.
N
Compare this with the tension in the vertical strand (find their ratio).
(tension in horizontal strand / tension in vertical strand)
a)The tension in the vertical strand will be 0.00049 N.
b))The tension in the horizontal strand will be 0.001284 N.
c)The ratio of tension in the horizontal strand to the tension in the vertical strand will be 2.62.
What is tension force?
The tension force is described as the force transferred through a rope, string, or wire as it is pulled by opposing forces.
Given data;
Mass of spiderweb = 5.00 ✕ 10⁻⁵ kg
The tension in a horizontal strand of a spiderweb, Tₓ
The tension in a vertical strand of a spiderweb, Tₐ
The angle at which the strand sags, Θ = 10.0°
R is the ratio of tension in the horizontal strand to the tension in the vertical strand
a)
From the FBD,
The tension in the vertical strand is equal to the weight of the spider;
Tₐ = W
Tₐ = mg
Tₐ= 5 x 10⁻⁵ kg x 9.8 m / s²
Tₐ= 0.00049 N.
(b)
The super's total vertical forces are zero since it is not moving the value of the tension in the horizontal strand;
Tₓ = mg/( 2sinΘ)
Tₓ = 5 x 10⁻⁵ kg x 9.8 m /s² / ( 2 sin 11° )
Tₓ= 0.001284 N.
c)
R is the tension in the vertical strand divided by the tension in the horizontal strand.
R= Tₐ / Tₓ
R= 0.001284 N / 0.00049 N
R= 2.62
Hence, the tension in a vertical strand of a spiderweb, the tension in a horizontal strand of a spiderweb, and the ratio of tension in the horizontal strand to the tension in the vertical strand will be 0.00049 N, 0.001284 N, and 2.62 respectively.
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A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x = 112 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is = 37.8°.
How wide is the river?
y = _____________ m
y = 11.3380m
What is Young's double-slit experiment?The double-slit experiment is an experiment, that shows that light has both a wave nature or characteristic and a particle nature or characteristic, and that these natures are inseparable.
So, light is said to have wave–particle duality rather than be only a wave or only a particle. The same is true for electrons and other quantum particles.
According to the question,
The relative to angle θ, its adjacent side has length x and its opposite side is equal to width of the river, y;
tanθ = [tex]\frac{y}{d}[/tex] = y = dtanθ
y =( 112m) tan (37.8° )
y ≈ 11.3380m
The width of river is 11.3380m
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A merry-go-round has a small box placed on it at a distance R' from its axis of
rotation. Initially (at time = 0), the merry-go-round is stationary. At time t = 0.0, a
constant torque of 6 Nm is applied to it, causing it to start rotating. As the merry-
go-round spins faster, a point comes when the small box slides off of it. Given the
following data, calculate the time after it starts spinning, that the box will slip off
the disk. Assume that the merry-go-round is a solid disc. Write your answer in
seconds.
Mass of the merry-go-round (disk) = 30 kg.
Radius of the merry-go-round = 3.1 m
Distance from the axis where the box is placed = R = 1.4 m
Coefficient of friction between merry-go-round and box: Static = 0.5, kinetic
The time after it starts spinning, that the box will slip off is 0.1 s.
Apply the principle of conservation of angular momentumI₁ω₁ - I₂ω₂ = 0
I₁ω₁ = I₂ω₂
where;
I₁ is initial moment of inertia I₂ is final moment of inertiaω₁ is initial angular speedω₂ is final angular speedThe final angular speed when the box slides off;
ω₂ = I₁ω₁ / I₂
ω₂ = [0.5(m₁ + m₂)(R + r)²] / (0.5MR²)
ω₂ = [0.5(30 + 0.3)(3.1 + 1.4)²] / (0.5 x 30 x 3.1²)
ω₂ = 2.13 rad/s
Time taken for the for box to slide off;
τ = Iα
τ = I(ω/t)
τ = (Iω)/t
t = (Iω)/τ
t = (0.5 x 0.3 x 1.4² x 2.13)/6
t = 0.1 s
Thus, the time after it starts spinning, that the box will slip off is 0.1 s.
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1. Objective observations do not include
2. Observations can capture a child's
3. It's important to use observations because they provide
growth.
or
happen
4. Understanding a child's
and
5. After writing an observation, you can use the
milestones a child has accomplished
6. To make sure an observation is objective you can ask yourself, "Did I capture
happened?"
7. One of the ways you can capture your observations is through
8
and
that define child
helps you accurately interpret an observation.
of child development to understand what
what
or
are ways to count specific skills or behaviors and determine when they
9
and
are ways to organize observation data.
10. The federal law which ensures that all children and family education information is confidential
is called
Objective observations do not include bias or opinions.
Observations can capture a child's strengths and weaknesses
What is an Objective Observation?This refers to the types of observation that is done through the senses through what we see, touch, feel, hear, smell, and taste.
Hence, we can see that objective observation is important because they provide insight into the strengths and needs of a child.
One of the ways you can capture your observations is through note-taking.
The federal law which ensures that all children and family education information is confidential is called The Family Educational Rights and Privacy Act (FERPA)
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Annie is considering two different coach journeys from Bristol to Birmingham.
Journey A takes 2 hours and does not stop. The shortest distance by road between the wo coach stations is 143 km, most of which s on the motorway where the speed limit is 31m/s (70 mph).
Journey B costs only half as much, but it takes 3 hours 15 minutes and stops at 5 other towns on the way. This journey is 160 km long, and most of it is on country roads with a speed limit of 22 m/s (50 mph). The speed limit in towns the coach passes through is 13 m/s (30 mph).
Calculate the average speed for each journey in m/s. Think carefully about the units you need to use in your calculations.
The average speed in the first case is 19.86 m/s and the average speed in the second case is 13.67 m/s.
The formula of average speed is
average speed = total distance / total time
In first case
total distance is 143 km which is also 143000 m
and total time is 2 hours which is also 7200 seconds
so average speed = ( 143000 / 7200 ) m/s
average speed = 19.86 m/s
In second case
total distance is 160 km which is also 160000 m
and total time is 3 hours and 15 minutes which is also 11700 seconds
so average speed = ( 160000 / 11700 ) m/s
average speed = 13.67 m/s
So to conclude with we have find the the average speed in both cases by dividing total distance by total time and in first case we have got our answer as 19.86 m/s and in second case we have got 13.67 m/s.
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Calculate
(
4.2
×
10
5
)
(
4.0
×
10
−
9
)
cm
2
.
Answer:
13671
Explanation:
A car drives 16 miles south and then 12 miles west. What is the magnitude of the car's displacement?
O4 miles
16 miles
20 miles
28 miles
Answer:
20 miles
Explanation:
Use pythagorean theorem
d^2 = 16^2 + 12^2
to find displacement, d = 20 miles
How do i solve for the point of equigravity between two planets, given their mass ratio and the distance between them ?
The equigravity between two planets is determined from the product and their masses and square of distance between them.
Gravitational force between two planetsThe gravitational force between two planets is calculated as follows;
F = GM₁M₂/R²
where;
G is universal gravitation constantM₁ is mass of first planetM₂ is mass of the second planetR is the distance between the two planetsUse the mass ratio of the two planets to determine their individual masses.
Thus, the equigravity between two planets is determined from the product and their masses and square of distance between them.
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Emma is the sole earning member of her family. She wants to study further but is forced to give up on her dreams to support her family. Which of the following ideas explains Emma's behavior?
Answer:
jsjdhfhdhsjeyeushshshdhfjfjfhfj
Explanation:
a
The theory that helps to explain Emma's actions will is Determinism. Option C is corect.
What is determinism?The idea is that all of our actions are the result of some uncontrollable internal or external force or cause.
Similar to the scenario given above, Emma's decision to abandon her studies was driven by an external factor—the fact that she is the family's sole provider of income, over which she has no influence.
The theory that helps to explain Emma's actions will is Determinism.
Hence option C is corect.
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Sally and Sam are in a spaceship that comes to within 18,000 km of the asteroid Ceres. Determine the force Sally experiences, in N, due to the presence of the asteroid. The mass of the asteroid is 8.7 1020 kg and the mass of Sally is 80 kg. For calculation purposes, assume the two objects to be point masses.
The force Sally experiences, in N, due to the presence of the asteroid is 0.0143 N.
Force experienced by Sally
F = Gm1m2/R²
where;
G is universal gravitation constantm1 is mass of asteroidm2 is mass of SallyR is the distance between Sally and SamF = (6.67 x 10⁻¹¹ x 80 x 8.7 x 10²⁰)/(18,000,000)²
F = 0.0143 N
Thus, the force Sally experiences, in N, due to the presence of the asteroid is 0.0143 N.
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You are raising up a big bucket of water from a 25.9 m deep well. The combined mass of the water and the bucket is 13.9 kg. The bucket is attached to a heavy duty steel chain. The mass of the chain is 19.3 kg.
1. How much work do you perform during the lifting process?
2. If it takes 1.75 minutes for you to raise the bucket of water out of the well, then what was your average power?
Answer:
Wb = 13.9 kg * 25.9 m * 9.8 m/s^2 = 3530 Joules
(work required to remove bucket)
Center of mass of chain = 25.9 / 2 = 12.95 m height of CM of chain
Wc = 12.95 * 19.3 * 9.8 = 2450 Joules
(work required to remove chain)
Total work = 3530 + 2450 = 5980 Joules
P = W / t = 5980 J / 105 sec = 57 J/s = 57 Watts
A generator produces 60 000 J of electric energy every minute. How many watts does it produce?
Answer:
[tex]1000\; {\rm W}[/tex].
Explanation:
Joule is a unit for work, while watt is a unit for power- the rate at which work is being done. Divide work by time to find power.
By definition, one watt is equivalent to one joule-per-second. In other words: [tex]1\; {\rm W} = 1\; {\rm J \cdot s^{-1}}[/tex]. Note that the unit of time in this question is "minute", not second.
Apply unit conversion and ensure that the unit of time is "second":
[tex]\begin{aligned} 1\; \text{minute} &= 1\; \text{minute} \times \frac{60\; {\rm s}}{1\; \text{minute}} = 60\; {\rm s}\end{aligned}[/tex].
The power of this generator would thus be:
[tex]\begin{aligned} \text{power} &= \frac{\text{work}}{\text{time}} \\ &= \frac{60\, 000\; {\rm J}}{60\; {\rm s}} \\ &= 1\, 000\; {\rm W} \end{aligned}[/tex].
A seagull flies at a velocity of 9.00 m/s straight into the wind.
(a) If it takes the bird 18.0 min to travel 6.00 km relative to the earth, what is the velocity of the wind?
m/s
(b) If the bird turns around and flies with the wind, how long will he take to return 6.00 km?
s
(c) Discuss how the wind affects the total round-trip time compared to what it would be with no wind.
a)If it takes the bird 18.0 minutes to fly 6 km away from the earth, the wind's speed will be 4 m/s.
b) The bird would need 7 minutes and 42 seconds to fly back 6 kilometers if he turned around and flew with the wind.
c)Compared to the 133.33 seconds it would take without the wind, the overall round-trip time is affected by the wind.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
A seagull flies at a velocity,[tex]\rm v_{SA} = 9 \ m/sec[/tex]
The time the bird takes,t=18.0 min
The distance traveled relative to the earth = 6.00 km
a)
The seagull's relative velocity with reference to the ground as;
[tex]\rm v_{sg} = \frac{6.00 \times 10^3 \ m }{(20 min) \times \frac{60 s }{1 \ min}} \\\\ v_{sg}= 5.00 \ m/sec[/tex]
Air velocity with reference to the ground is;
[tex]\rm v_{AG}= v_{SG}-v_{SA} \\\\ v_{AG} = 5.00 \ m/sec - 9.00 \ m/sec \\\\ v_{AG} = -4.00 \ m/sec[/tex]
b)
If the bird turns around and flies with the wind, The time will he take to return 6.00 km is;
[tex]\rm v_{SG}=v_{SA}+v_{AG} \\\\ v_{SG}=-900 \ m/sec +(-4.00 \ m/sec) \\\\ v_{SG}= -13.00 \ m/sec[/tex]
The time the bird takes;
[tex]\rm t = \frac{x_{SG}}{v_{SG}} \\\\ t = \frac{6.00 \times 10^3 \ m }{13.00 \ m/sec } \\\\ t = 462 m/sec \\\\ t = 7 \ min \ and \ 42 \ sec[/tex]
c)\
The total round-trip time compared to what it would be with no wind. is;
[tex]\rm t = 20 \ min( \frac{60 \ sec }{1 \ min} )+ 462 \ sec \\\\ t = 1200 \ sec +6 462 \ ec \\\\ t= 1662 \ sec[/tex]
The time for the round trip is;
[tex]\rm t = \frac{12 \times 10^ 3 }{ 9 \ m/sec } \\\\ t = 1333.33 \ sec[/tex]
Hence the wind's speed, the time bird would need to fly back the total round-trip time will be 4 m/s, 7 minutes and 42 seconds and 1333.33 sec.
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What is causing her to resist a change in her lack of motion? Answer asap
Answer:
uduehdhehshdhdhdhdegsgshe
Explanation:
a
1kg is the mass of ……… of water in 4 degree C
How is Behaviorism and Psychoanalysis theories are similar and different?