Answer:
(1) The period 0.25 secs
(2) The angular velocity is 25.14 rad/s
(3) The linear velocity is 50.28 m/s
(4) The acceleration is [tex]1264 m/s^{2}[/tex]
Explanation:
(1) Period is defined as the time taken for one revolution
∴ [tex]Period = \frac{Time }{Number of revolutions }[/tex]
From the question, the particle makes 240 revolution per minute
That is, For 240 revolution, the time taken = 1 minute
Time = 1 minute = 60 secs
Number of revolutions = 240
∴ [tex]Period =\frac{60}{240} \\[/tex]
Period = 0.25 secs
The period 0.25 secs
(2) The angular velocity, ω is given by
ω [tex]= \frac{2\pi }{T} \\[/tex]
where [tex]T[/tex] is the period
∴ω = 2 ×[tex]\frac{22}{7}[/tex] / 0.25 (take [tex]\pi = \frac{22}{7}[/tex])
ω = 25.14 rad/s
The angular velocity is 25.14 rad/s
(3) The linear velocity, v is given by
v = ωr
Where v is the linear velocity
ω is the angular velocity
and r is the radius
From the question, r = 2m
From v = ωr
∴v = 25.14 × 2
v = 50.28 m/s
The linear velocity is 50.28 m/s
(4) The acceleration is given by
[tex]a =[/tex] ω × v = ω(ωr) =ω²r
∴ [tex]a = 25.14^{2}[/tex] × [tex]2[/tex]
[tex]a = 1264.04 m/s^{2} \\a = 1264 m/s^{2}[/tex]
The acceleration is [tex]1264 m/s^{2}[/tex]
Position vs Time
Based on the information presented in the graph, what
is the velocity of the object?
15
m/s
12
Position (m)
3
0
1
2
3
4
5
Time (s)
) Intro
Done
Answer:
3
Explanation:
just did it
Pls with a clear explanation
Explanation:
We know that :
[tex]P = \frac{V^{2} }{R} [/tex]
Resistance of Bulb :
[tex]R = \frac{ V^{2} }{P } = \frac{ {(240)}^{2} }{280} = 205.71 \: ohms[/tex]
As per Ohms laws :
Current when (V = 200)
[tex]i \: = \frac{ V}{ R} = \frac{200}{205.71} = 0.97 \: A[/tex]
1. Simplify the following expression
8-6/4-12+3^2
Answer:
-5/2
Explanation:
8-6/4-12+3^2
8-6/4-12+9
2/4-12+9
LCM =4
(2-48+36)/4
(-46+36)/4
-10/4
-5/2
1. A runner drops her phone as she is running at a constant speed of 3 miles per hour from point A to point B in a park. Describe the motion of the phone as it is observed by someone sitting on a bench at the park.
Answer:
Let's define the point A as our zero in the x-axis.
As the phone drops, it keeps the horizontal velocity that it had before, so the horizontal velocity is:
Vx = 3 mi/h.
Now, the only force acting on the phone is the gravitational force that acts in the vertical axis, then we have:
Ay = -g
where g = 9.8 m/s^2
It is dropped, so we do not have a vertical initial velocity, then for the vertical velocity we should integrate over time:
Vy = -g*t
And for the position again, we integrate over time, but now we have an initial position H, that is the height at which the phone is dropped.
Py = -(1/2)*g*t^2 + H
And the horizontal position can be found by integrating over time the horizontal velocity.
Px = (3mi/h)*t
This will be the two equations that describe the motion of the phone, and we can not solve it further because we do not know the initial height of the phone.
But in general, we have a linear equation in the horizontal axis and a quadratic equation with a negative leading coefficient in the vertical axis.
Position(t) = ( (3mi/h)*t, -(1/2)*g*t^2 + H)
Answer:
yes he is running at 3 mph
Explanation:
because im the teacher
a camel walks for 450 meters then hops on a bicycle and rides for 100 meters riding with a speed of 25 m/s in the same direction the average speed of the camel for the entire trip is 7 m/s what speed did the camel walk
Answer:
6.03 m/s
Explanation:
Average speed = total distance traveled/total time taken
7 = 450 + 100/total time
total time = 550/7 = 78.57 s
Speed of camel on the bicycle = distance/time
25 = 100/time
time = 100/25 = 4 s
Total time = 78.57 s
Time spent riding bicycle = 4 s
Time spent walking = total time - time spent riding bicycle
= 78.57 - 4 = 74.57 s
Speed of walking = distance walked/time spent walking
= 450/74.57
= 6.03 m/s
A block of density 2400kg/m3 has a volume of 0.20m3. Calculate:
a) it’s mass
b) it’s weight
c) it’s apparent weight when completely immersed in a liquid of density 800kg/m3
Answer:
a) mass=density x volume= 2400 x 0,20=480 Kg
b) weight= 480 x 9,81 = 4708,8 N
Which is the correct acceleration vs. time graph for the velocity vs. time graph shown in (Figure 8)?
Answer:
The correct option is the second option with horizontal bars at a = 6, a = -1, and a = 4 m/s²
Please find attached the table of values and a graph representing the correct option
Explanation:
The given data can be presented as follows;
Time (s), Velocity (m/s), Acceleration (m/s²)
0, -1, 6
0.5, 2, 6
1, 5, 6
0, 5, -1
0.5, 4.5, -1
1, 4, -1
1.5, 3.5, -1
2, 3, -1
2.5, 2.5, -1
3, 2, -1
0, 2, 4
0.5, 4, 4
1, 6, 4
1.5, 8, 4
2, 10, 4
From the data, and the graph the acceleration for the period from the time t = 0 to t = 1 is 6 m/s²
From t = 1 to t = 4, the acceleration is constant and equal to -1
From t = 4 to t = 6 the acceleration is also constant and equal to 4
What is the elevator's average acceleration from t = 2 to t= 8? Leave your answer in 3 significant figures.
Answer:
Average Acceleration = 0 m/s²
Explanation:
The average acceleration between t = 2 sec to t = 8 sec is given as follows:
Average Acceleration = (Final Velocity - Initial Velocity)/Total Time
From Graph,
Total Time = 8 sec - 2 sec = 6 sec
At t = 2 sec
Initial Velocity = 3 m/2 s = 1.5 m/s
At t = 8 sec
Final velocity = 12 m/8 s = 1.5 m/s
Therefore,
Average Acceleration = (1.5 m/s - 1.5 m/s)/ 6 s
Average Acceleration = 0 m/s²
90. An uranium nucleus (at rest) undergoes fission and splits into two fragments, one heavy and the other light. Which fragment is moving faster after the fission?
Answer:
Explanation:
No external force is acting on uranium nucleus so we can apply law of conservation of momentum . If M and m be the mass of bigger and smaller fragments respectively and V and v be their velocity after fission , Total momentum after fission = total momentum before fission
MV - mv = 0 , since the nucleus was at rest , its momentum before fission is zero . negative sign of mv is taken because smaller fragment will move in opposite direction to that of bigger fragment .
MV = mv
M / m = v / V
M > m
Hence,
v > V
So velocity of smaller fragment will be higher .
A marble accelerates from rest at a constant rate and travels for a total displacement of 44 m in 20.0 s. What is the average velocity of the marble?
Answer:
2.2 m/s
Explanation:
use the formula to find meters per second
A person jogs at an average velocity of 3 m/s West. How long will it take this person to run a 30-meter city block?
Answer:
It will take the person 10 seconds to run a 30-meter city block.
Explanation:
To solve this problem, we must remember the formula for velocity:
velocity = displacement/time
If we plug in the values that we are given, we get:
3 m/s = 30 m/time
We can see from the above equation that our answer should be in seconds, so we can get rid of the units to simplify the equation slightly.
3 = 30/t
Next, we can multiply both sides by t:
3t = 30
Then, we should divide both sides of the equation by 3 to get the variable t alone on the left side of the equation.
t = 10
Therefore, the correct answer is 10 s.
Match each term to the appropriate definition.
percent error
a mathematical way of showing
accuracy
when two variables both increase or
decrease together
dependent variable
inverse relationship
when one variable increases and the
other variable decreases
direct relationship
what is changed by the researcher
during an experiment
independent variable
what is measured and affected during
an experiment
Answer: In statistics, a perfect positive correlation is represented by the ... variables in question move together by the exact same percentage ... Positive correlation is a relationship between two variables in which both variables move in ... other variable decreases, or one variable increases while the other increases.
Explanation:
make me a brainlist and like and rate
Percent error is a mathematical way of showing accuracy, dependent variable is what is measured and affected during the experiment, independent variable is what is changed by the researcher.
What is Percent error?Percent error is the difference between the estimated value and the actual value in comparison to the actual value of the experiment and is expressed as a percentage value. In other words, the percent error is the relative error multiplied by the number 100.
Direct relationship is a relationship between any two variables whereby both the variables increase or decrease together. Directly affect each other.
Inverse relationship is a relationship between any two variables whereby one variable increases and the other variable decreases. The variables affect each other but inversely.
An independent variable is the variable which is changed by the researcher through the experiment.
A dependent variable is the variable which is measured and affected during the experiment and it often described as being dependent on the independent variable of the experiment.
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relate 1 radian to 1 degree.how much is 90 degree in terms of radian?
The answer to the question is 1.5708~1.571.
All but one of the following are studies done in sociology. Which one best illustrates a study done in psychology? A. a study that shows how Marissa’s study habits change when she is at the library with her friends B. a study that shows how Joey’s clownish behavior only occurs when he is around his peers C. a study that shows how Katrina’s stress levels contribute to her obsessive exercise habits D. a study that shows how Lisa’s obsession with snowboarding is caused by her group of friends
Answer:
i believe its c
Explanation:
I took the test
The one best illustrates a study done in psychology is a study that shows how Katrina’s stress levels contribute to her obsessive exercise habits. The correct option is C.
What is psychology?Psychology is the scientific study of human mind and his behavior on various situations. It includes the study of conscious and unconscious phenomena, feelings and emotions attached to some person or a habit.
The psychology deals with the stress levels which make up the wrong habits. This may be caused due to overthinking, one starts to push himself more and more. He wants to stress out to manage this stress and does the exercise obsessively.
So, the study how Katrina’s stress levels contribute to her obsessive exercise habits is an example of psychology study.
Thus, the correct option is C.
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What did Blaise Pascal discover, and how did he impact Physics?
Answer:
Well it really depends because he found out about a lot of things in a lot of scientific fields actually. He is known for contributing Pascal's triangle and probability theory. He also invented an early digital calculator and a roulette machine. In the field of physics, Blaise contributed to the study of atmospheric pressure by discovering that vacuums are real and exist in the real world.
Answer:
Well it really depends because he found out about a lot of things in a lot of scientific fields actually. He is known for contributing Pascal's triangle and probability theory. He also invented an early digital calculator and a roulette machine. In the field of physics, Blaise contributed to the study of atmospheric pressure by discovering that vacuums are real and exist in the real world.
Explanation:
1. Hydroelectric ____________ come from the energy of fallen water.
2. Using fossil fuels is the main reason of global ___________
3. Turning off the lights, TV and computer when we aren't using them is a way to _________, or save energy.
4. Energy efficient light bulbs use ___________ energy than normal light bulbs.
5. ________ is made from trees.
6. _______ energy comes from things besides fossil fuels.
7. You can ________ or bike to school instead of driving.
8. Most of the energy we use around the world comes from _______ ________.
Please answer these quickly. I'm tired.
Answer:
1.Power
2.warming
3.preserve
4.less
5.Paper
6.Fossil
7.ride cycle
8.Non renewable energy sources
Please check it once and reply
please help
will give the brainliest!
please answer correctly.
Urgent!!!!!!!!!!!!
a) Live wire
b) It has gained extra electrons.
c) Part of circuit can be turned off while other parts remain on.
d) [tex] R=\frac{V}{I}=60 \Omega[/tex]
what happens when you dip open bottle in bucket full of water?why?
chapter=pressure
Answer: It goes inside filling most of it .
Explanation: This happens because the bottle is empty and the bucket is full of water.
A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip
Answer:
(a) She has traveled a total distance of 28958.04 m during the entire trip.
(b) Her average velocity for the trip is 6.12 m/s
Explanation:
Here is the complete question:
A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip? (b) What is her average velocity for the trip?
Explanation:
(a) To determine how far the bicyclist has traveled during the entire trip, we will calculate the distance she covered in each part of the trip, and then sum up the distances to determine the total distance covered.
First, The distance covered in the first part of the tripDuring the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s
That is,
Average speed, [tex]v[/tex] = 7.57 m/s
and time, [tex]t[/tex] = 26.8 minutes
Convert the time to seconds
∴ [tex]t[/tex] = 26.8 minutes = (26.8 × 60) secs = 1608 secs
[tex]Average speed = \frac{Distance }{ Time}[/tex]
Then, [tex]Distance = Average speed[/tex] × [tex]Time[/tex]
Hence, for the first part
[tex]Distance = 7.57[/tex] × [tex]1608[/tex]
[tex]Distance = 12172.56[/tex] m
This is the distance covered in the first part of the trip.
For the distance covered in the second part of the tripDuring the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s
That is, Average speed, [tex]v[/tex] = 3.17 m/s
and time, [tex]t[/tex] = 42.4 minutes
Convert the time to seconds
∴ [tex]t[/tex] = 42.4 minutes = (42.4 × 60) secs = 2544 secs
From,
[tex]Distance = Average speed[/tex] × [tex]Time[/tex]
[tex]Distance = 3.17[/tex] × [tex]2544[/tex]
[tex]Distance = 8064.48[/tex] m
This is the distance covered in the second part of the trip.
For the distance covered in the third part of the tripDuring the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s
That is, Average speed, [tex]v[/tex] = 15.0 m/s
and time, [tex]t[/tex] = 9.69 minutes
Convert the time to seconds
∴ [tex]t[/tex] = 9.69 minutes = (9.69 × 60) secs = 581.4 secs
From,
[tex]Distance = Average speed[/tex] × [tex]Time[/tex]
[tex]Distance = 15.0[/tex] × [tex]581.4[/tex]
[tex]Distance = 8721[/tex] m
This is the distance covered in the third part of the trip.
Now for the distance covered during the entire trip,
Total distance = distance covered in the first part of the trip + distance covered in the second part of the trip + distance covered in the third part of the trip
Hence,
Total distance = 12172 m + 8064.48 m + 8721 m
Total distance = 28958.04 m
Hence, she has traveled a total distance of 28958.04 m during the entire trip.
(b) For her average velocity for the trip
Average velocity is given by
[tex]Average velocity = \frac{Total distance traveled}{Total time}[/tex]
Total distance traveled = 28958.04 m
Total time = 1608 secs + 2544 secs + 581.4 secs
Total time = 4733.4 secs
Hence,
[tex]Average velocity = \frac{28958.04}{4733.4}[/tex]
Average velocity = 6.1178 m/s
Average velocity ≅ 6.12 m/s
A 4-kg plastic tank that has a volume of 0.18 m3 is filled with liquid water. Assuming the density of water is 1000 kg/m3, determine the weight of the combined system.
Answer:
weight= 1805.04 NExplanation:
In this problem we are expected to find the weight of the plastic tank and the weight of the equal volume of water
Given that
density of water = 1000 kg/m^3
volume of plastic tank is same as the volume of water= 0.18 m^3
we need to solve for the mass of the water
we know that density is = mass/volume
1000= mass/0.18
mass= 1000*0.18
mass= 180 kg
the total mass of the combined system is
4+180= 184 kg
the weight = mg (assuming g= 9.81 m/s^2)
weight = 184*9.81
weight= 1805.04 N
456.7 in scientific notation
what is the kinetic energy of a body mass 5kgwhich moves with velocity of 4m/s
Answer:
The answer is 40 JoulesExplanation:
The kinetic energy of a body can be found by using the formula
[tex]KE = \frac{1}{2} {mv}^{2} [/tex]where
m is the mass
v is the velocity
From the question
mass = 5 kg
velocity = 4 m/s
Substitute the values into the above formula and solve
We have
[tex]KE = \frac{1}{2} \times 5 \times {4}^{2} \\ = \frac{1}{2} \times 5 \times 16 \\ = 5 \times 8[/tex]We have the final answer as
40 JoulesHope this helps you
A skydiver accelerates from 20 m/s to 40 m/s in 2 seconds. What is the skydiver's average acceleration?
Answer: 10m/s²
Explanation: Acceleration= (v-u)/t
So here it’s (40-20)/2
Which is equal to 10
These bacteria use chemicals and heat in the water to make their own food are classified as
Answer: Autotrophs
Explanation: Autotrophs make their own food from nature. They do not depend on other creatures for food
¡Can someone help me pls!
How many cubic meters of blood does the heart
pump in a 20 years lifetime?Assume the average
flow rate is 5 L/min.
(5 L/m)x(1,440 m/da)x(365 da/yr)x(20yr)
That's 52,560,000 Liters, or 52,560 m^3.
Which statement explains the relationship between the density of a material and its movement in Earth’s interior?
A.Cooler materials move from Earth’s mantle to the lithosphere.
B.Cooler materials are highly dense, causing them to sink to the outer core.
C.Warmer materials sink to the mantle because their density slowly decreases. D.Warmer materials have a high density, causing them to rise to Earth’s surface.
B) Cooler materials are highly dense, causing them to sink to the outer core.
Answer:
the answer is B i did the test
5 words to describe mass science
Answer:
Scientific Definition of Mass. Mass is the quantity of inertia (resistance to acceleration) possessed by an object or the proportion between force and acceleration referred to in Newton's Second Law of Motion (force equals mass times acceleration). In other words, the more mass an object has, the more force it takes to get it moving.
Explanation:
A car speeds up from rest to some final velocity in some amount of time. If the time is doubled to reach the same final velocity, what
happens to the acceleration? Is this a proportional or inversely proportional relationship?
If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.
What is the rate of change?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.
Let's assume the final and the initial velocity of the object is v and u, respectively. Also, the time it takes is represented by t. Therefore, the acceleration can be written as,
a₁ = (v-u)/t
Now, if the time is doubled then the acceleration can be written as,
a₂ = (v-u)/2t
= (1/2) × [(v-u)/t]
= 0.5 × a₁
a₂ = 0.5a₁
Hence, If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.
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The radius of curvature of a spherical mirror is 20cm.What is its focal length?
Answer:
[tex] \boxed{\sf Focal \ length = 10 \ cm} [/tex]
Given:
Radius of curvature (R) of a spherical mirror = 20
To Find:
Focal length (f)
Explanation:
Formula:
[tex] \boxed{ \bold{\sf Focal \ length \ (f) = \frac{Radius \ of \ curvature \ (R)}{2}}}[/tex]
Substituting value of R in the equation:
[tex] \sf \implies f = \frac{20}{2} [/tex]
[tex] \sf \implies f = \frac{ \cancel{2} \times 10}{ \cancel{2}} [/tex]
[tex] \sf \implies f = 10 \: cm[/tex]
Focal length = 10 cm.
Solution :
Given radius of curvature = 20 cm.
Formula :
Focal length = Radius of curvature/2
→ Focal length = 20/2
→ Focal length = 10 cm.
Answer : 10 cm.
(Q004) During World War II, the military imaged the seafloor by sending pulses of sound waves down through the water and measuring the time it took for the sound to bounce off the seafloor and return to the receiver. This method is called
Answer:
Sonar
Explanation:
Sonar is a technique that involves the use of sounds in viewing substances in a water medium to aid movement or communication. It makes use of the advantage of sound waves traveling faster and farther in water when compared to other types of waves such as light waves.
During World War II, the military employed the use of SONAR in imaging the seafloor by sending pulses of sound waves down through the water and measuring the time it took for the sound to bounce off the seafloor and return to the receiver.