Answer:
A
The distance in revolutions is [tex]n = 7 \ revolutions[/tex]
The distance in degrees is [tex]\theta =2529 ^ o[/tex]
The distance in radian is [tex]\theta_{radian } = 44.15 \ rad[/tex]
B
[tex]\theta_a = 1.26 \ rad[/tex]
Explanation:
From the question we are told that
The diameter of the pie is [tex]d = 10.00 \ in[/tex]
The distance covered by the rim is [tex]D = 208 \ in[/tex]
The number which the pie is divided into is k = 5
Generally the radius of the pie is mathematically represented as
[tex]r = \frac{d}{2}[/tex]
=> [tex]r = \frac{10}{2}[/tex]
=> [tex]r = 5 \ in[/tex]
Generally the distance covered by the rim is mathematically represented as
[tex]D= 2 \pi r n[/tex]
=> [tex]208 = 2* 3.142 * 5 * n[/tex]
=> [tex]n = 7 \ revolutions[/tex]
Generally converting to degrees
[tex]\theta = n * 360[/tex]
=> [tex]\theta = 7 * 360[/tex]
=> [tex]\theta =2529 ^ o[/tex]
Generally converting to radian
[tex]\theta_{radian } = \frac{\theta * \pi}{180 }[/tex]
=>[tex]\theta_{radian } = \frac{2520 * 3.142 }{180}[/tex]
=>[tex]\theta_{radian } = 44.15 \ rad[/tex]
Generally the angular size of one piece of the pie is
[tex]\theta_a = \frac{2 * \pi }{ k}[/tex]
=> [tex]\theta_a = \frac{2 * 3.142}{ 5}[/tex]
=> [tex]\theta_a = 1.26 \ rad[/tex]
(a) The angular distance is 0.168 revolution, 1.056 radians and 60.5⁰.
(b) The angular size of one slice in radians is 2π radian.
The given parameters;
diameter of the pie, d = 10 mradius of the pie, r = 5 mdistance traveled by the rim, d = 208 in = 5.28 mThe angular distance traveled by the pie plate is calculated as follows;
2πr = 5.28
[tex]2\pi = \frac{5.28}{r} \\\\2 \pi = \frac{5.28}{5} \\\\2\pi = 1.056 \ rad\\\\\frac{1 \ rev}{2\pi \ rad } \times 1.056 \ rad = 0.168 \ rev[/tex]
[tex]1.056 \ rad \times \frac{360^0}{2\pi \ rad} = \ 60.5^0[/tex]
Thus, the angular distance is 0.168 revolution, 1.056 radians and 60.5⁰.
The circumference of the pie is calculated as follows;
C = 2πr
C = 2π x 5
C = 10π
Diving the pie into 5 equal slice;
[tex]Fraction \ of \ one \ part \ in \ radian= \frac{10\pi}{5} = 2\pi\ radian[/tex]
Thus, the angular size of one slice in radians is 2π radian.
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6.) A car traveling 30 m/s north has a momentum of 60,000 kg m/s. What is the mass of the car?
please help!! answer and equation would b great!!
Answer:
The answer is 2000 kgExplanation:
The mass of the car can be found by using the formula
[tex]m = \frac{p}{v} \\ [/tex]
p is the momentum
v is the velocity
From the question we have
[tex]m = \frac{60000}{30} = \frac{6000}{3} \\ [/tex]
We have the final answer as
2000 kgHope this helps you
The density of an object has the equation d = m/v. if an object has a mass of
2.5 g and a volume of 1.3 cm3, what is its density?
Answer:
The answer is 1.92 g/cm³Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question we have
[tex]density = \frac{2.5}{1.3} \\ = 1.923...[/tex]
We have the final answer as
1.92 g/cm³Hope this helps you
The car on a track begins at the 80-cm mark. The car moves in the negative direction at a speed of 5 cm/s. After three seconds, a. What distance has the car traveled? b. What is the displacement of the car? c. What is the car's new position on the track? Please hurry up
Answer:
a) The car travelled a distance of 15 centimeters.
b) The displacement of the car is -15 centimeters.
c) The new position of the car on the track is 65 centimeters.
Explanation:
a) From Mechanical Physics we know that the distance travelled is magnitude of the route covered by the vehicle. If this car travels in a straight line and at constant velocity, then we can calculate the distance traveled by the following expression:
[tex]\Delta s = v\cdot \Delta t[/tex] (Eq. 1)
Where:
[tex]v[/tex] - Speed of the car, measured in centimeters per second.
[tex]\Delta t[/tex] - Time, measured in seconds.
[tex]\Delta s[/tex] - Distance travelled by the car, measured in meters.
If we get that [tex]v = 5\,\frac{cm}{s}[/tex] and [tex]\Delta t = 3\,s[/tex], then the distance travelled by the car is:
[tex]\Delta s = \left(5\,\frac{cm}{s} \right)\cdot (3\,s)[/tex]
[tex]\Delta s = 15\,cm[/tex]
The car travelled a distance of 15 centimeters.
b) The displacement is the vectorial distance between final and initial position. Then, we find that initial and final positions of the car are, respectively:
Initial position:
[tex]s_{o} = 80\,cm[/tex]
Final position: ([tex]s_{o} = 80\,cm[/tex], [tex]\Delta s = 15\,cm[/tex])
[tex]s_{f} = s_{o} -\Delta s[/tex] (Eq. 1)
[tex]s_{f} = 80\,cm-15\,cm[/tex]
[tex]s_{f} = 65\,cm[/tex]
And the displacement of the car is: ([tex]s_{o} = 80\,cm[/tex], [tex]s_{f} = 65\,cm[/tex])
[tex]d = s_{f}-s_{o}[/tex] (Eq. 2)
[tex]d = 65\,cm-80\,cm[/tex]
[tex]d = -15\,cm[/tex]
The displacement of the car is -15 centimeters.
c) The position of the car is its location regarding a point of reference. From point b) we find that the new position of the car on the track is:
[tex]s_{f} = 65\,cm[/tex]
The new position of the car on the track is 65 centimeters.
HELP ASAP!!! PLEASE!!!
Which of the following is NOT a requirement of a good test?
A) Heritability
B) Validity
C) Standardization
D) Reliability
I could not find the answer online because it is saying an answer choice that is not there please help!!
A) Heritability is NOT a requirement of a good test. Option A is correct.
What is a requirement of a good test?Validity, Standardization, and Reliability are commonly considered requirements of a good test.
A) Heritability refers to the proportion of variability in a trait that can be explained by genetic factors. It is a statistical concept used in the field of genetics and is not a requirement for a good test.
B) Validity refers to the extent to which a test measures what it is intended to measure.
C) Standardization refers to the process of administering a test in a standardized manner to ensure that the results are comparable across different people or groups.
D) Reliability refers to the consistency of the results obtained from a test, i.e., the extent to which a test gives consistent results when repeated under the same conditions.
These three (B, C, and D) are commonly considered requirements of a good test.
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A crane lifts a 75kg mass a height of 8 m. Calculate the gravitational potential energy gained by the mass (g = 9.8 N/kg.
A 7.0 kg cannonball flying rightward at 12 hits a stationary rock. The cannonball keeps moving in the same
S
m
m
direction at 2.0 after the collision but sends the rock flying at 14 towards right
S
S
What is the mass of the rock?
Answer:
5.0 kg
Explanation:
use the equation; (m1v1i) + (m2v2i) = (m1v1f) + (m2v2f)
An aeroplane accelerates from rest at a rate
of 25m/s² for 3 s .calculate final velocity
Answer:
The final speed is 75 m/s
Explanation:
Constant Acceleration Motion
It's a type of motion in which the velocity of an object changes uniformly in time.
Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at[/tex]
The airplane comes from rest (vo=0) accelerating at a=25 m/s^2 for t=3 s.
The final speed is:
[tex]v_f=0+25~m/s^2\cdot 3~s[/tex]
[tex]v_f=75~m/s[/tex]
The final speed is 75 m/s
IF a car trip 400 km in four hours what is the rate of speed that a car is traveling?
What clouds are best associated with thunderstorms?
Answer:
Cumulus Congestus & Cumulonimbus Clouds
what is meant by heat energys
Answer:
heat energy is the form of energy produced by heat
when we burn heat a type of enery is came
How can damage to living things occur from exposure to X-rays or gamma
rays?
A. The human body can overheat.
B. The human body can give off thermal energy,
C. Atoms and molecules in the body can be ionized.
D. Bad cases of sunburn can occur.
Answer:
C. Atoms and molecules in the body can be ionized.
Explanation:
The exposure to X-rays or gamma rays can ionized the atoms and molecules present in the living things like humans.
What is X-rays?X-rays are a type of radiation called electromagnetic waves. X-ray imaging creates pictures of the inside of your body.
What is gamma rays?A gamma ray, also known as gamma radiation, is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei.
Gamma rays can pass completely through the human body; as they pass through, they can cause ionizations that damage tissue and DNA.
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A ball is thrown up into the air with the initial velocity of 18 m/s. A) How high does the ball go? B) Calculate the time needed for the ball to reach its max height.
Answer:
(a) h = 16.53 m (b) t = 1.83 s
Explanation:
Given that,
The initial velocity of a ball, u = 18 m/s
When it reaches to the maximum height, its final velocity v will be 0. Let it goes to a maximum height of h meters.
Finding t using first equation of motion as follows :
v = u +at
Here, a = -g and v = 0
[tex]t=\dfrac{u}{g}\\\\t=\dfrac{18}{9.8}\\\\t=1.83\ s[/tex]
The time needed for the ball to reach its max height is 1.83 s.
Let h is the maximum height. Using second equation of motion to find it :
[tex]h=ut-\dfrac{1}{2}gt^2\\\\h=18(1.83)-\dfrac{1}{2}\times 9.8\times (1.83)^2\\\\h=16.53\ m[/tex]
So, it will go to a maximum height of 16.53 m.
I need help and I don't understand if you can help me but let it be before 6:00
Answer:
balanced: a train moving at a constant speed, the moon orbiting the earth at a constant speed, a lamp sitting on a desk, an apple hanging on a tree
unbalanced: a skier coming down a mountain, a car accelerating from the start line, a soccer ball after it was kicked, a parachuter falling to ground
Explanation:
all the balanced ones are either moving at a constant speed or are skill
all the unbalanced ones were disturbed by some sort of force causing them to accelerate, go faster, blah blah blah
Two men are talking while standing next to each other in a parking lot at
the grocery store. One man is 125 kilograms while the other is 75
kilograms. Besides fluid friction, what type of friction do both men have in
common?
an airplane flies 1,592 miles east from arizona to georgia in 3.68 hours. what is the average velocity of the airplane
Answer: Around 433 miles
Explanation:
Choose the best description of the attraction between you and your classmate.
A. There is no attractive force
B. It was large enough to feel the attraction
C. extremely small (1.8 x 10-8 N)
D. There is not enough information to answer this question
Answer:
The correct option is;
D. There is not enough information to answer this question
Explanation:
The universal gravitational constant = 6.67408 × 10⁻¹¹ 3³/(kg·s²)
For an in between distance of 1 m and equal masses of 60 kg, we have;
[tex]F = G \times \dfrac{m_{1} \times m_{2}}{r^{2}} = 6.67408 \times 10^{-11} \times \dfrac{60 \times 60}{1^{2}} \approx 2.403 \times 10^{-7} N[/tex]
The gravitational attraction ≈ 2.403 × 10⁻⁷ N, which does not correspond with the answers, therefore, the best option is that there is not enough information to answer this question.
Why are black holes so deeply part of the collective imagination (books, movies, songs, video games, comics, paintings, etc)?
Answer:
Black holes are some of the strangest and most fascinating objects in outer space. They're extremely dense, with such strong gravitational attraction that even light cannot escape their grasp if it comes near enough. so when in books, movies, songs, video games, comics, paintings, etc you can imagine the impossible. as in escaping a black hole
Explanation:
16.
The parents in Jana's neighborhood rely on her to baby-sit for them. Jana loves little children
and is very good with them. She enjoys her babysitting business on some week nights and
many weekends. She has dance class 4 times a week. Therefore, Jana has difficulty finding
time to do her homework What area is she weak in?
Answer:
doing her homework/finding time to do important things
A ball is thrown vertically upwards with a velocity of 9.8 m/s. Its velocity after 1 second will be
[ Take g = 9.8 ms¯²]
9.8 m/s
19.6 m/s
Zero
2.45 m/s
[tex] \LARGE{ \underline{\underline{ \purple{ \bf{Required \: answer:}}}}}[/tex]
GiveN:
Initial velocity = 9.8 m/s²Accleration due to gravity = -9.8 m/s²Time taken = 1 sTo FinD:
Final velocity of the ball?Step-by-step Explanation:
Using the first Equation of motion,
⇒ v = u + gt
⇒ v = 9.8 + -9.8(1)
⇒ v = 0 m/s
The final velocity is hence 0 m/s.
Note:While solving questions of under gravity motions using equations of motion, remember the sign convection to avoid mistakes.You can consider positive above the ground and negative for towards it.
Particles in a substance move __ when more thermal energy is transferred to that object.
that object.
A faster
B slower
How much work is done when a girl applies a force of 80 N to move an object 4 m, and then moves the object 1 m back?
Answer:
[tex]w = \underline{{ \boxed{400 \: J }}} [/tex]
Explanation:
[tex]work \: done = \boxed{force \times distance} \\ w = 80 \times (4 + 1) = 80 \times 5 \\ w = \underline{{ \boxed{400 \: J }}} [/tex]
a metal has a density of 8.0g/cm3 a solid cube of mass 1.0kg is made from this metal how long is each side of the cube?
Answer:
5 cm
Explanation:
We are given that,
The density of metal = 8 g/cm^3
The Mass of the Solid Cube = Mass of the metal = 1 kg = 1000 g
We know that,
Density = Mass / Volume
8 = 1000 / V
[tex]V = 1000/8\\V = 125 cm^3[/tex]
Hence, as the volume of the solid cube is 125 cm^3, its side will be the volume's cube root which is 5 cm
the value of g is greater at the poles than at the equator why
Answer:
because the gravitational pull is maximum at the poles and decreases as it comes down toward the equator.
Students in a science class were provided with this image and asked to identify which color of light would refract the most if white light was passed through a prism?which student below identified the correct color of light with the proper justification?
The identification of the correct color of the light with the proper justification would be by student 4: violet, because it has the highest frequency, therefore the correct answer is option D.
What is Wavelength?It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.
As given in the problem, students in a science class were provided with this image and asked to identify which color of light would refract the most if white light was passed through a prism.
Student 4 would correctly identify and justify violet as the appropriate hue of the light since it has the greatest frequency, making option D the right response.
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why are people so rude/
Answer:
Some people have went through some things, but people will be people. I've heard people are born neutral, but are affected by the environment they live in.
Explanation:
A 45 kg puggle and a 130 kg puma are at a standoff (staring at each other) with a distance 70 m between them. What is the magnitude of the force of gravity between the puggle and the puma?
Answer:
It should be normal force if it's not right plz forgive me.
Explanation:
The force of gravity between the puggle and the puma is 7.7×10⁻¹¹ Newton.
Given parameters:
Mass of the puggle; m =45 kg
Mass of the puma : M = 130 kg.
Distance between them; r = 70 m.
Then, the magnitude of the force of gravity between the puggle and the puma is; F = GmM/r²
Where, G = universal gravitational constant = 6.6×10⁻¹¹ Si unit.
So, Gravitational force; F = ( 6.6×10⁻¹¹ )×130×45 ÷ (70)² N = 7.7×10⁻¹¹ Newton.
Hence, the magnitude of the force of gravity between the puggle and the puma is 7.7×10⁻¹¹ Newton.
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How could sound waves damage solid objects like a spacecraft?
An elevator weighs 8,000 N of force. What is the mass of the elevator
Answer:
Mass, m = 816.33kg
Explanation:
Weight can be defined as the force acting on a body or an object as a result of gravity.
Mathematically, [tex] Weight, W = mg[/tex]
Where;
m is the mass of an object. g is acceleration due to gravity.Making mass, m the subject of formula, we have;
[tex] Mass, m = \frac {W}{g} [/tex]
Given the following data;
Weight = 8000N
We know acceleration due to gravity is equal to 9.8 m/s²
Substituting into the equation, we have;
[tex] Mass, m = \frac {8000}{9.8} [/tex]
Mass, m = 816.33kg
Therefore, the mass of the elevator is 816.33kg.
what is a car's acceleration between 25 s and 30 s?
Gamma rays are given out from the
of radioactive atoms. What one word completes the sentence??
Gamma rays are given out by the nucleus of certain radioactive materials. Radioactive material ray causes harm to the human beings and environment.
What is gamma-decay?Gamma decay is the production of extremely high-frequency electromagnetic radiation in order to stabilize the unstable nucleus. You must be well-versed in the various energy levels found in an atom.
The Nucleus has its own amount of energy. Gamma decay is the nucleus' method of transitioning from a higher energy level to a lower energy level by emitting high energy photons.
Gamma rays are given out by the nucleus of certain radioactive materials.
Hence, nucleus is the right answer for the blank.
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