Answer:
Time = 0.3256 sec
Explanation:
Velocity = displacement / time
43=14/t
So the time =14/43
t=0.3256 sec
k=1/2kx^2
find the value of X
Answer:
x=± 2
=±1.4142
x=0
Explanation: If this does not help then I'm sorry.
STEP
1
:
1
Simplify —
2
Equation at the end of step
1
:
1
k - ((— • k) • x2) = 0
2
STEP
2
:
Equation at the end of step 2
kx2
k - ——— = 0
2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
k k • 2
k = — = —————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
k • 2 - (kx2) 2k - kx2
————————————— = ————————
2 2
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2k - kx2 = -k • (x2 - 2)
Trying to factor as a Difference of Squares:
4.2 Factoring: x2 - 2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Equation at the end of step
4
:
-k • (x2 - 2)
————————————— = 0
2
STEP
5
:
When a fraction equals zero
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-k•(x2-2)
————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-k • (x2-2) = 0
Theory - Roots of a product :
5.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.3 Solve : -k = 0
Multiply both sides of the equation by (-1) : k = 0
Solving a Single Variable Equation:
5.4 Solve : x2-2 = 0
Add 2 to both sides of the equation :
x2 = 2
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 2
The equation has two real solutions
These solutions are x = ± √2 = ± 1.4142
Three solutions were found :
x = ± √2 = ± 1.4142
k = 0
Terms and topics
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
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
What is the gradual process through which humans change from birth to
adulthood?
Answer:
Growth and Development
What do atoms and elements have in common?
Answer:
They come in different kinds, called elements, but each atom shares certain characteristics in common. All atoms have a dense central core called the atomic nucleus. ... All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.
a toy boat travels 0.2km in 1 minute and 30 seconds calculate the average speed of the toy give your answer to 3 significant figures
Answer:
0.00222km/s
Explanation:
[tex]Distance = 0.2km\\Time = 1\:minute \:30\:seconds = 90\:seconds\\\\Average \:speed =?\\\\Average \:speed = \frac{0.2}{90} \\A.V = 0.002222\\A.V =0.00222[/tex]
Measurements such as weight, temperature, time, and length are qualitative observations?
A. true
B. False
Answer:
false
Explanation:qualitative is a word or name that describe a quality of the individual while quantitative is a number or something that can be counted or measured from the individual.
A racecar traveling at a velocity of 18.5 m/s, accelerates at a rate of 2.47 m/s2 and covers a distance of 79.78 m. Determine the final velocity of the racecar.
Answer:
The final velocity of the race car is 27.14 m/s
Explanation:
Given;
initial velocity of the race car, u = 18.5 m/s
acceleration of the race car, a = 2.47 m/s²
distance covered by the race car, s = 79.78 m
Apply the following kinematic equation to determine the final velocity of the race car.
v² = u² + 2as
v² = (18.5)² + 2(2.47)(79.78)
v² = 736.363
v = √736.363
v = 27.14 m/s
Therefore, the final velocity of the racecar is 27.14 m/s
The weightlifter's internal store of energy decreased when he lifted the bar.
The bar's internal store of energy increased by a smaller amount.
Explain why.
Answer:
The energy returns to the weightlifter's muscles, where it is dissipated as heat.
Explanation:
The energy returns to the weightlifter's muscles, where it is dissipated as heat. As long as the weightlifter controls the weight's descent, their muscles are acting as an overdamped shock absorber, as if the weight were sitting on a piston containing very thick fluid, slowly compressing it downward (and slightly heating up the fluid in the process). Since muscles are complicated biological systems and not simple pistons, they require metabolic energy to maintain tension throughout the controlled descent, so the weightlifter feels like they're putting energy into the weight, even though the weight's gravitational potential energy is being converted into heat within the lifter's muscles.
For 1983 through 1989, the per capita consumption
of chicken in the U.S. increased at a
rate that was approximately linear. In 1983,
the per capita consumption was 37.1 pounds,
and in 1989 it was 50 pounds.
Write a linear model for per capita consumption
of chicken in the U.S. Let t represent
time in years, where t = 3 represents
1983. Let y represent chicken consumption in
pounds.
Answer:
y = 43.55 + 2.15t
Explanation:
We were told that in 1983, the per capita consumption was 37.1 pounds, and in 1989 it was 50 pounds.
If we assume t = 0 corresponds to year 1980. Then, for 1983 it will be t = 3 and for 1989,it will be t = 9.
Thus, expressing the information as ordered pairs, we have; (3,37. 1) and (9,50).
Let us now find slope of the linear function:
m1 = (y2 - y1)/(t2 - t1)
m1 = (50 - 37.1)/(9 - 3)
m1 = 2.15
So, we can find the linear equation as;
y - 37.1 = 2.15(t - 3)
y = 37.1 + 2.15t - 6.45
y = 43.55 + 2.15t
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.
Learn more about psychology.
https://brainly.com/question/10980588
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(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.
Two cars having masses in the ratio 4:5, accelerates in the ratio 2:3. Find the ratio of forces exerted by each of them
Answer:
Force=mass×acceleration.
4:5 for masses , 2:3 for acceleration.
For the first car it will be 4×2=8N
For the second car it will be 5×3=15N
how could the student estimate the average speed in the first 8 hours
Answer:
use this formula
Average Speed = (Total distance)/(Total Time) =
What is Density? (3-5 sentences or your own word don't copy the
notes)
Answer:
the density makes something float or sink below water its the "water weight "
Explanation:
The atmospheric pressure above a swimming pool changes from 837 to 842 mm of mercury. The bottom of the pool is a rectangle (10 m ⨯ 25 m). By how much does the force on the bottom of the pool increase?
Answer:
Change in force = 1.66 × 10⁵ N
Explanation:
Given:
Initial pressure = 837 mmHg
Final pressure = 842 mmHg
Rectangle (10 m ⨯ 25 m)
Find:
Change in force
Computation:
Change in force = (Change in pressure)(Area)(133 pa / 1 mmHg)
Change in force = (842 - 837)(10 m ⨯ 25 m)(133 pa / 1 mmHg)
Change in force = (166,250)
Change in force = 1.66 × 10⁵ N
Objects fall near the surface of the earth with a constant downward acceleration of 10 m/s2 . At a certain instant an object is moving upward at 20 m/s. What is its velocity 2 sec later?
Answer:
After 2 seconds the velocity of the object is 0 m/s.
Explanation:
The velocity at 2 seconds later can be calculated as follows:
[tex] V_{f} = V_{0} - gt [/tex]
Where:
[tex]V_{f}[/tex]: is the velocity at 2 seconds
[tex]V_{0}[/tex]: is the initial velocity = 20 m/s
g: is the gravity = 10 m/s²
t: is the time = 2 s
Hence, the final velocity is:
[tex] V_{f} = V_{0} - gt = 20 m/s - 10 m/s^{2}*2 s = 0 m/s [/tex]
This value (0 m/s) means that the object has reached the maximum height.
Therefore, after 2 seconds the velocity of the object is 0 m/s.
I hope it helps you!
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
4,000 hg + 5,000 g = ____________ g?
Answer:
405000 g
Explanation:
1hg(hectogram)=100g
Therefore,
400000g+5000g=405000 g
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.
If an 8000 kg truck and and a 2000 kg car are moving with the same velocity, which one will have more kinetic energy? why?
Answer: sure the truck with 8000 kg mass
Explanation: use the rule: ke=1/2mv^2
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
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
Technician A says that the kinetic energy of a vehicle is proportional to its weight. Technician B says that the kinetic energy of a moving vehicle is directly proportional to its speed. Which technician is correct
Answer:
Technician B
Explanation:
The kinetic energy of an object is possessed when it is in motion. It is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]
m is mass, v is speed
The kinetic energy is directly proportional to its speed. It does not depend on its weight. It would mean that Technician B is correct as he says that "the kinetic energy of a moving vehicle is directly proportional to its speed".
Please I need your help so fast plsss
When we get out of the bed on a very cold morning, we feel that the air of the room is cold. But when we come back after staying out for some time, we feel that the air of the same room is warmer. Why is this?
Answer:
This is because the air outside is always cooler than the air inside, so after staying outside your body adapts to the cold air, when you come back inside, the cold air is still in you which makes the room seem warmer.
Please help ASAP! Thank you :)
The earth's orbit is oval in shape. Explain how the magnitude of the gravitational force between the earth and the sun changes as the earth moves
from position 'A' to 'B' as shown in the figure.
Answer:
magnitude of gravitational force between the Earth and the Sun at B is greater than that at A
Explanation:
Formula of gravitational force:
F = GMm/r^2
(r is the distance between 2 objects)
We see that r(B) < r(A) since at B, the Earth is closer to the Sun than at A
According to the Formula, the smaller r is, the greater F is
So, F(B) > F(A)
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]
The statement “A chimpanzee’s diet in November consists of 16% insects” is an example of a(n)
Answer:
quantitive observation
quantitative observation is a data analysis that is objective. It measures research variables using numerics and statistics. It is a method of observation that views research variables in quantity, which is why the values can be counted in something like age, weight, volume, and scale.
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