A body of mass 20 kg is dropped from a height of 100m .Find its Kinetic energyand potential energy after(i) one second (ii) Two second.

Answers

Answer 1

Given

m = 20 kg

h = 100m

Kinetic energy and potential energy after

(i) 1 sec

(ii) 2 sec

Procedure

The motion we are analyzing is a free fall, therefore the acceleration faced by the object is 9.8m/s^2 which is gravity.

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

Let's first calculate the velocity after 1s

\(\begin{gathered} v^{}_f=v^{}_o-gt \\ v_f=-9.8m/s^2\cdot1s \\ v_f=-9.8m/s \end{gathered}\)

Now with the velocity, we can calculate the kinetic energy

\(\begin{gathered} K=\frac{1}{2}mv^2 \\ K=\frac{1}{2}20kg\cdot(9.8m/s)^2 \\ K=960.4\text{ J} \end{gathered}\)

Now let's calculate the potential energy after 1s. Let's first calculate the displacement after that time

\(\begin{gathered} y=v_ot-\frac{1}{2}gt^2 \\ y=-\frac{1}{2}gt^2 \\ y=-\frac{1}{2}\cdot9.8m/s^2\cdot(1s)^2 \\ y=4.9\text{ m} \end{gathered}\)

Now let us proceed to calculate the potential energy

\(\begin{gathered} U=\text{mgh} \\ U=20kg\cdot9.8m/s^2\cdot(100m-4.9m) \\ U=18639.6\text{ J} \end{gathered}\)

For 1s:

K = 960.4 J

U = 18639.6 J

In a very similar way we are going to calculate for the second 2

Let's first calculate the velocity after 2s

\(\begin{gathered} v_f=-9.8m/s^2\cdot2s \\ v_f=-19.6m/s \end{gathered}\)

Now with the velocity, we can calculate the kinetic energy

\(\begin{gathered} K=\frac{1}{2}mv^2 \\ K=\frac{1}{2}20kg\cdot(19.6m/s)^2 \\ K=3841.6\text{ J} \end{gathered}\)

Now let's calculate the potential energy after 2s. Let's first calculate the displacement after that time

\(\begin{gathered} y=v_ot-\frac{1}{2}gt^2 \\ y=-\frac{1}{2}gt^2 \\ y=-\frac{1}{2}\cdot9.8m/s^2\cdot(2s)^2 \\ y=19.6\text{ m} \end{gathered}\)

Now let us proceed to calculate the potential energy

\(\begin{gathered} U=\text{mgh} \\ U=20kg\cdot9.8m/s^2\cdot(100m-19.6m) \\ U=15758.4\text{ J} \end{gathered}\)

Related Questions

In your business plan, the target market section should clearly identify_____market(s).
A. Both your primary and secondary
B. primary
C. demographic
D. secondary

Answers

In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.

The specific heat of human body is 3,500 J/kg/°C. When a 84 kg person runs, she generates 3.6 MJ of heat in an hour. Suppose she did not sweat. Find the rise in body temperature in °C.

Answers

The rise in temperature of the body as determined from the specific heat capacity, mass, and heat change of the body is 12.24 °C.

What is the rise in temperature of the body?

The rise in temperature of the body is determined from the specific heat capacity, mass, and heat change of the body.

The formula relating the temperature rise of the body, the specific heat capacity, mass, and heat change of the body is given below:

Heat change = mass * specific heat capacity * temperature rise

Temperature rise = Heat change / mass * specific heat capacity

Temperature rise = 3.6 * 10⁶ J / 84 kg * 3,500 J/kg/°C

Temepartaure rise = 12.24 °C

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how come I can't find where the last one goes and everytime I do I have to click on it to go on the next question but it disappears?​

how come I can't find where the last one goes and everytime I do I have to click on it to go on the next

Answers

answer yuo do not have it

Newton’s laws of motion lab report

Answers

A lab report on Newton's laws of motion typically involves conducting experiments to demonstrate the three laws of motion formulated by Sir Isaac Newton.

What will the experiments involve?

These experiments may involve the use of objects of different masses and forces to measure acceleration, velocity, and other variables. The lab report would include a detailed explanation of each of Newton's laws, as well as a discussion of the experimental results and any observations made during the experiment.

The report may also discuss the significance of these laws in our understanding of the physical world and their applications in various fields, such as engineering and physics.

Overall, a well-written lab report on Newton's laws of motion should provide a clear and concise explanation of the key concepts and findings related to these fundamental laws of physics.

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What are the key concepts and findings discussed in a lab report on Newton's laws of motion?

Newton’s laws of motion lab report

the efficiency of combine double pulley is 60 how much load is lifted using 50n effort​

Answers

The amount of load lifted by the pulley when the efficiency is 60% and effort is 50 N is determined as 30 N.

What is the amount of load lifted?

The amount of load lifted by the pulley is calculated by applying the formula for efficiency of a machine as follows;

E = L / E   x  100%

where;

L is the load overcome or output workE is the effort applied or the input work

The amount of load lifted by the pulley is calculated as;

60 = L / 50   x 100%

60 = 100L / 50

100L = 50 x 60

100 L = 3000

L = 3000 / 100

L = 30 N

Thus, the amount of load lifted by the pulley is 30 N.

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Gravitational force depends on the mass of an object.
Place the items in order from MOST gravitational force (1) to LEAST gravitational force (5)
Atom
Capitol Building
Earth
Sun
human
1.
2.
3.
4.
5.

Answers

Answer:

sun, earth, capitol building, human, atom

Explanation:

Gravity is directly proportional to the size of an object. Therefore, the object with the most mass will have the greatest force of gravity. We know this from the equation. \(F = G\frac{m_1m_2}{r^2}\)

WILL GIVE BRAINLIEST!!!!
How many revolutions around the Sun does Uranus complete by the time Jupiter finishes its orbit?

Answers

84 revolutions before Jupiter

Answer:

0

Explanation:

it takes 84 years for Uranus to orbit the Sun. It only takes 12 years for Jupiter to orbit the Sun. So technically by the time that Jupiter finishes it's one, Uranus will not be able to even finish half of its orbit.

Which of the following is the best hypothesis?
A. The size of ice crystals in clouds depends on the air temperature.
B. It is fun to fly an airplane through large cumulus clouds.,
C. How big can ice crystals get inside a cloud?
D. Clouds are always found in the atmosphere.

Answers

A the size of ice crystals….

2) What does the specific heat capacity of a material tell you about how easy it is to heat up
that material

Answers

Answer:

See the explanation below

Explanation:

In order to understand in a better way what the specific heat is, we must analyze the units of measurement of this scalar magnitude.

\([\frac{kJ}{kg*C} ]\) or [kJ/kg*°C]

For example for water Cp = 4.1 [kJ/kg*°C]

That is, to increase the temperature by one degree celsius in one kilogram of water, 4.14[kJ] of energy is required.

A cyclist travels at 6 m/s for 12 s. What distance has she travelled?

Answers

Answer:

The Cyclist traveled 72 meters

Explanation:

if you for say multiply 10 by 12 you get 120 now you subtract 48 from the solution and you have your answer as 72

The distance traveled by the cyclist when traveling at a speed of 6m/s for 12s is 72m.

HOW TO CALCULATE DISTANCE:

The distance of a travelling body can be calculated by multiplying the speed of the traveler by the time.

Distance travelled (m) = speed (m/s) × time (s)

According to this question, a cyclist is traveling at a speed of 6m/s for 12s. The distance can be calculated as follows:

Distance (m) = 6m/s × 12s

Distance (m) = 72m

Therefore, the distance traveled by the cyclist when traveling at a speed of 6m/s for 12s is 72m.

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Refer to Figure 2-6. You start from the Cafe, travel to the Art Gallery, and then to the Bakery.
Your entire trip takes 2 hours. What is your Velocity?
A. 4 km/hr South B. 2 km/hr North
C. 10.5 km/hr North D. 2 km/hr South

Answers

Referring to Figure 2-6, when starting from the Cafe and traveling to the Art Gallery and then to the Bakery, in 2 hours, the velocity is 2 km/h in the south direction. The correct option is D.    

In Figure 2-6, we have the following:  

The order is from point 1 to point 3 in the north direction

Point 1: Art Gallery Point 2: Bakery Point 3: Cafe

The distances are:

Distance from Art Gallery to Bakery = 2.5 km - northDistance from Bakery to Cafe = 4.0 km - north

The velocity is given by:

\( v = \frac{d_{t}}{t} \)   (1)

Where:

d: is the total displacement

t: is the time = 2 h

To find the displacement, we will take the north direction as the positive x-direction and the south as the negative x-direction. We need to remember that displacement is a vector that depends on the direction of motion.    

Displacement from the Cafe to the Art Gallery

\( d_{1} = -4.0 km - 2.5 km = -6.5 km \)  

Since the distances of Figure2-6 are in the north direction and we are going in the opposite (south), the negative sign means that the first displacement is in the south direction.  

Displacement from the Art Gallery to Bakery

\( d_{t} = d_{1} + d_{2} = -6.5 km + 2.5 km = -4.0 km \)

The minus sign in this final displacement means that we are going in the south direction (the north direction is the positive x-direction).

Hence, the velocity is (eq 1):      

\( v = \frac{d_{t}}{t} = \frac{4.0 km \: south}{2 h} = 2 km/h \: south \)

We need to remember that the above minus sign refers to a direction of motion (south).  

Therefore, the velocity is 2 km/h in the south direction. The correct option is D.    

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can someone help me pleaseenkwnsn​

can someone help me pleaseenkwnsn

Answers

If a third resistor is added in SERIES, what changes happens to the....

a. Total Voltage - stay the same b. Total Current - decrease c. Total Resistance - increase d. Voltage through resistor 1 - decrease e. Current through resistor 1 - decrease

What happens in a circuit?

When you add a third resistor in series, the total resistance of the circuit increases. This is because the current has to flow through all three resistors, so it has to overcome more resistance. The total voltage across the circuit stays the same, because the voltage of the battery is constant. However, the current decreases, because the same amount of current is now flowing through a larger resistance.

The voltage across each resistor also decreases, because the total voltage is divided among the three resistors. The current through each resistor also decreases, because the same current is now flowing through a larger resistance.

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The suffix used to name a monatomic anion is
O A. ite
O B. ide
O C. anion
O D. ate

Answers

The answer is B.ide I looked it up on google hope this help and sorry if it was late
The answer is B . Just took the quiz. IDE

Transverse waves on a string have wave speed 12m/s, amplitude 0.05m and wavelength 0.4m. The waves travel in the positive x direction, and at t=0 the x = 0 end of the string has zero displacement and is moving upward.
(a) Find the frequency, period and wave number of these waves
(b)Write a wave function describing the wave
(c) Find the transverse displacement of a wave at x=0.25 at time t -0.15sec
(d) How much time must elapse from the instant in part "(c)" until the point at x = 0.25m has zero displacement​

Answers

(a) The wave speed (v) is given as 12m/s and the wavelength (λ) is 0.4m, so the frequency (f) can be calculated as:

v = fλ

f = v/λ = 12/0.4 = 30 Hz

The period (T) is the inverse of the frequency, so:

T = 1/f = 1/30 = 0.0333 s

The wave number (k) can be calculated as:

k = 2π/λ = 2π/0.4 = 15.708 rad/m

(b) The wave function can be written as:

y(x, t) = A sin(kx - ωt + φ)

where A is the amplitude, ω is the angular frequency, and φ is the phase constant. Since the x = 0 end of the string has zero displacement and is moving upward at t = 0, the phase constant is 0. At t = 0, the wave function can be written as:

y(x, 0) = A sin(kx)

The amplitude is given as 0.05m, so:

0.05 = A sin(k*0)

sin(0) = 0, so A = 0.05. Therefore, the wave function is:

y(x, t) = 0.05 sin(15.708x - 188.5t)

(c) To find the transverse displacement of the wave at x = 0.25m and t = -0.15s, we can substitute these values into the wave function:

y(0.25, -0.15) = 0.05 sin(15.7080.25 - 188.5(-0.15))

y(0.25, -0.15) = 0.05 sin(0.5906)

y(0.25, -0.15) ≈ 0.029 m

Therefore, the transverse displacement of the wave at x = 0.25m and t = -0.15s is approximately 0.029m.

(d) The point at x = 0.25m has zero displacement when the argument of the sine function is an integer multiple of π, or:

15.708(0.25) - 188.5t + φ = nπ

where n is an integer. We want to find the time at which this equation is satisfied. Rearranging, we get:

t = (15.708*0.25 + φ - nπ)/188.5

The phase constant is 0, so we can simplify the equation to:

t = (15.708*0.25 - nπ)/188.5

For n = 0, the time is:

t = (15.708*0.25 - 0)/188.5 ≈ 0.0208 s

Therefore, the time required for the point at x = 0.25m to have zero displacement is approximately 0.0208s.

what heavy element was the chernobyl nuclear accelarators supposed to make?​

Answers

Answer

plutonium

Explanation:

brainliest please

A 1500 kg car traveling at 30 m/s hits a stationary 1200 kg car. If they stick together on collision, what is the final velocity of the two cars?

Answers

Answer:

16.67 m/s

Explanation:

Let that velocity be v.

Using conservation of momentum:

Initial momentum = final momentum

momentum of car1 = momentum of cars

mass1 x velocity1 = (m1 + m2)v

1500*30 = (1500 + 1200)v

45000/2700 = v

16.67 m/s = v

A vehicle, starting from rest, accelerates on a circular track with a 335m diameter.

Answers

The distance travelled by the vehicle around the circular track is 1,052.4 m.

What is the distance travelled by the vehicle in one complete cycle?

The distance travelled by the vehicle in one complete cycle is calculated by using the following equation as show below.

d = 2πr

d = πd

Where;

r is the radius of the circular trackd is the diameter of the circular track

In one complete cycle, the  vehicle will travel the circular track only once.

d = π(335 m)

d = 1,052.4 m

Thus, the distance travelled by the vehicle around the circular track is a function of the diameter of the circular track.

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The complete question is below:

A vehicle, starting from rest, accelerates on a circular track with a 335m diameter. What is the distance travelled by the vehicle when it makes one complete cycle?

The answers to the fill in the blank plz

The answers to the fill in the blank plz

Answers

Answer:

not too sure but i think it is : force - multiplied by -mass

Polly Protractor drives 15 kilometers North to go shopping at one mall, then drives
20 kilometers East to go shopping at another mall.

Answers

The resultant displacement of the Polly protractor is 25 km.

What is displacement?

The displacement of an object is the change in the position of the object.

The displacement of the Polly protractor is calculated as follows;

d² = 15² + 20²

d = √(15² + 20²)

d = 25 km

Thus, the resultant displacement of the Polly protractor is 25 km.

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The complete question is below:

Find the resultant displacement of the Polly protractor.

What image is produced by placing an object 4 cm away from a convex lens of focal length 8 cm? draw the ray diagram and discuss the obtain result​

Answers

The image is formed 8cm in front of the lens and is a real image.

What is the nature of the image?

We would have to remind ourselves that if we are looking at the lens then we have to be looking at any reflecting surface that we know. There are two kinds of lens that we have, we have the concave and the convex lens.

We know that the focal length of the convex lens is positive thus we have;

1/f = 1/u + 1/v

f = focal length

u = object distance

v = image distance

Thus;

1/8 = 1/4 - 1/v

1/v = 1/4 - 1/8

v = (0.25 - 0.125)^-1

v = 8 cm

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What image is produced by placing an object 4 cm away from a convex lens of focal length 8 cm? draw the

Compare and contrast chemical reactions and nuclear reactions in terms of particles involved . Select all the statements that apply Both chemical and nuclear equations are written with equal signs. Nuclear reactions create a difference in the number of protons, neutrons, and electrons after the reaction. A chemical reaction is the rearranging of atoms to form new substances. E=mc^ aleph 2 applies to both chemical and nuclear reactions. In a nuclear reactionparticles can transmute into others. Chemical reactions produce energy on levels comparable to nuclear reactions The total number of protons, neutrons, and electrons stay the same throughout the chemical reaction.

Compare and contrast chemical reactions and nuclear reactions in terms of particles involved . Select

Answers

Answer:

. A chemical reaction is the rearranging of atoms to form new substances. E=mc^ aleph


Blue light with a wavelength of 4.57 E-7 m is used in Young's experiment with the slits separated by a distance of 2.42 E-4Y
m. The screen is located at a distance from the slits of 4.5 m. Calculate the distance on the screen between the central
bright fringe and the first bright fringe. Show all work for full credit.

Answers

The distance between the central bright fringe and the first bright fringe on the screen is approximately 8.52E-3 meters.

In Young's double-slit experiment, the distance between the central bright fringe (m = 0) and the first bright fringe (m = 1) can be calculated using the following formula:

y = (m * λ * L) / d

where:

y is the distance between the fringes on the screen,

m is the order of the fringe (0 for the central bright fringe, 1 for the first bright fringe),

λ is the wavelength of the light,

L is the distance from the slits to the screen, and

d is the distance between the slits.

Given the values:

λ = 4.57E-7 m (blue light wavelength)

d = 2.42E-4 m (distance between the slits)

L = 4.5 m (distance from the slits to the screen)

For the central bright fringe (m = 0), the distance (y) is:

y = (0 * 4.57E-7 m * 4.5 m) / 2.42E-4 m

y = 0

Therefore, the central bright fringe coincides with the point where the two beams of light overlap.

For the first bright fringe (m = 1), the distance (y) is:

y = (1 * 4.57E-7 m * 4.5 m) / 2.42E-4 m

y ≈ 8.52E-3 m

This calculation demonstrates how the interference pattern in Young's experiment is formed, with bright and dark fringes being produced based on the constructive and destructive interference of the light waves from the two slits. The distance between these fringes depends on the wavelength of light, the separation of the slits, and the distance between the slits and the screen.

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What is audience going to be in the nine grade physic MCAS 

Answers

The audience for the 9th grade physics MCAS is students in the 9th grade who are taking the Massachusetts Comprehensive Assessment System (MCAS) physics exam.

How to explain the information

The exam is designed to assess students' knowledge and skills in physics, and it is used to make decisions about students' placement in courses, graduation requirements, and eligibility for college and career programs.

The 9th grade physics MCAS is a multiple-choice exam that consists of 50 questions. The questions are based on the Massachusetts Curriculum Framework for Science, which outlines the standards that students are expected to meet in physics.

Students who take the 9th grade physics MCAS must score at least proficient in order to meet the state's graduation requirements. Students who score below proficient may be required to take additional courses or remediation.

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Calculate the kinetic energy of a 3.15 kg bowling ball rolling down the lane at 2.5 m/s. Include the units.

Answers

Given:

The mass of the ball is: m = 3.15 kg

The velocity of the ball is: v = 2.5 m/s

To find:

The kinetic energy of the ball.

Explanation:

The kinetic energy is the energy that a particle has when is is in motion. For the particle of mass m moving with velocity v, the kinetic energy KE is given as:

\(KE=\frac{1}{2}mv^2\)

Substitute the values in the above expression, we get:

\(\begin{gathered} KE=\frac{1}{2}\times3.15\text{ kg}\times(2.5\text{ m/s\rparen}^2 \\ \\ KE=\frac{1}{2}\times3.15\text{ kg}\times6.25\text{ m}^2\text{/s}^2 \\ \\ KE=9.84\text{ kg.m}^2\text{/s}^2 \\ \\ KE=9.84\text{ J} \end{gathered}\)

Final answer:

The kinetic energy of the ball is 9.84 J.

How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food

A. The amount of oxygen in the atmosphere increased

B. Mass extinctions occurred

C. The oceans became larger

D. Rainfall increased

Answers

The amount of oxygen in the air was increased

A boat with a jet engine demonstrates Newton’s law of action-reaction . Why is this true?

Answers

Answer:Newton’s law also states that larger bodies with heavier masses exert more gravitational pull, which is why those who walked on the much smaller moon experienced a sense of weightlessness, as it had a smaller gravitational pull. To help explain his theories of gravity and motion, Newton helped create a new, specialized form of mathematics.

Explanation:I'm very stupid so I don't think this is the right answer

A car starts from rest and accelerates uniformly to a speed of 72km/hr over a distance of 500m. Find the acceleration of the car and time taken to attain this speed

Answers

Answer: a = 0.4 m/s^2

t = 50 s

Explanation:

Convert 72 km/hr to m/s by multiplying it by (1000 m / 1 km)(1 hr / 3600s).

Then, plug this into the formula: (v final)^2 = (v original)^2 + 2*a*d; v original = 0, so it becomes 20^2 = 2*a*500. This yields a = .4 m/s^2.

For the time: a = change in speed / t, which becomes .4 = 20 / t, which yields t = 50 s.

Identify the simple machine shown below.
O A. Inclined plane
O B. Wedge
O C. Pulley
O D. Lever

Identify the simple machine shown below.O A. Inclined planeO B. WedgeO C. PulleyO D. Lever

Answers

Answer:

I believe that is A. Inclined plane

Explanation:

The given image shows an inclined plane. Inclined planes are created for the easier movement of objects to transport them to heights.

What is inclined plane?

A basic machine with no moving parts is an inclined plane. It's just a surface that slopes evenly. As opposed to if we raised the objects directly upwards, it makes it simpler for us to move the objects to higher or lower surfaces.

According to legend, the ancient Egyptians transported large stones on inclined planes in order to construct the pyramids. They made the transportation of heavy loads simpler.

Inclined refers to an end that is raised or raised at one end. A piece of wood leaning against a higher point or a manufactured structure both qualify as inclined planes. Ramp is another name for an inclined surface.

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A 50.3-kg person, running horizontally with a velocity of 2.44 m/s, jumps onto a 13.4-kg sled that is initially at rest. (a) Ignoring the effects of friction during the collision, find the velocity of the sled and person as they move away. (b) The sled and person coast 30.0 m on level snow before coming to rest. What is the coefficient of kinetic friction between the sled and the snow

Answers

Answer:

a

  \(v = 1.9267 \ m/s\)

b

The value is    \(\mu = 0.0063\)        

Explanation:

From the question we are told that

      The  mass of the person is  \(m_1 = 50.3 \ kg\)

       The  horizontal velocity is  \(u_1 = 2.44 \ m/s\)

       The mass of the shed is  \(m_2 = 13.4 \ kg\)

        The distance covered is  \(d = 30 \ m\)

Generally from the law of momentum conservation we have that

        \(m_1 * u_1 + m_2 * u_2 = (m_1 + m_2)v\)

Here  \(u_2\) is the initial velocity of the shed which is  0 m/s  

       \(50.3 * 2.44 + 13.4 * 0 = (50.3 + 13.4) v\)

=>    \(v = 1.9267 \ m/s\)

Generally the workdone by friction is mathematically represented as  

          \(W = \Delta KE\)          

          \(W = \frac{1}{2} * m * (v_f - v )\)

Here \(v_f\) is the final velocity of the person and the shed when they come to rest and the value is  \(v_f = 0 \ m/s\)

 Generally this workdone  by friction is also mathematically represented as

           \(W = - \mu * m * g * d\)

=>        \(- \mu * m * g * d = \frac{1}{2} * m * (v_f - v )\)

=>       \(\mu = - \frac{0.5 * ( v_f^2 - v^2 )}{g * d }\)

=>         \(\mu =- \frac{0.5 * ( 0^2 - 1.9267^2 )}{9.8 * 30 }\)

=>         \(\mu = 0.0063\)        

Select the correct answer.
Which of the following best describes an intermediate runner?

A. Able to alternate running 2 minutes, walking 1 minute

B. Able to run a mile without stopping

C. Able to run at least 30 minutes, 3-5 times a week

D. Able to run 1 mile in 10 minutes or less

Answers

I would say answer D

A is very easy, so that's off the table, while be is a little too advanced for intermediate, and C is way to advanced for intermediate.

So yeah, D

It would probably be D
Other Questions
Which of the following acids (listed with pKa values) and their conjugate base would form a buffer with a pH of 8.10? A) HC2H302, pka= 4.74 B) H2SO3, pKa= 1.77 C) HCIO, pka= 7.54 D) HIO. pka= 10.64 E) HNO2. pka= 3.34 an auto shop installed a new automatic system to do paint job for cars. the system can paint 6 cars in 1/4 hour. how long does it take to paint one car? PLEASE ANSWER ASAP I WILL BE MARKING BRAINLY Can someone help me with this pls? Answers for 1 2 &3 if rose and Carl share a 18 ounce bucket of clay. by the end of the week rose has used 1/6 of the Bucket and carl used 2/3 of the bucket How many ounces are left in the bucket Determine the Laplace transform of the following time domain functions: (a) (2t 25t+4)u 0 (t3) (6) (b) (t3)e 2tu 0 (t2) (6) (c) (2t4)e 2(t2)u 0 (t3) (3) (d) 4te 3t(cos2t)u 0 (t) Which is the best example of the flow of matter through a community?(A) Sunlight is necessary for trees to grow leaves wash into a cave where they are colonized by fungi and bacteria > small mites graze on the bacteria for food insects and spiders feed on the mites.(B) Deep-sea volcanic activity forms vents on the ocean floor superheated water dissolves minerals and metals bacteria use these minerals to survive > many organisms depend on the bacteria as a food source.(C) The decomposition of animals from millions of years ago formed oil oil is used by humans as a fossil fuel > burning fossil fuels releases CO. into the atmosphere > CO, is used by plants to produce O, O, is consumed by many living animals.(D) A meadow of wildflowers absorbs solar energy > each flower converts this into sugars the flowers use the sugars to grow and reproduce. Write the exponential function shown on the graph. Hint: If you can't naturally see what they are multiplying by you should be able to work backwards. Think about the opposite of multiplication. firm's weighted average cost of capital (WACC) is used as the discount rate to evaluate various capital budgeting projects. However, remember the WACC is an appropriate discount rate only for a project of average risk. Alalyze the cost of capital situations of the following company cases, and answer the specific questions that finance professionais need to addrass. The case of Cute Camel Woodcraft Company Cute Camel Woodcraft Company has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. it has a before-tax cost of debt of 8.2%, and its cost of preferred stock is 9.3%. If Cute Camel can reise all of its equity capital from retained earnings, its cost of common equity will be 12.4%. However, if it is necessary to reise new common equity, it will carry a cost of 14.2%. If its current tax rate is 40%, how much higher will Cute Camei's weighted average cost of capital (WACC) be if it has to raise additional commen equity capital by issuing new common stock instead of raising the funds through retained eamings? (Note: Round your answer to two decimal places,) 0.8396 0,85%5 0.6405 0,74% The case of Red Snail Satellite Company Red Snail Sateilite Company is considering a new project that will require an initial Investment of $4 million. It has a target capital structure of 35%. debt, 2% preferred stock, and 63% common equity. Red Snail Satellite has noncallable bonds outstanding that mature in 15 years with a face value of $1,000, an annual coupon rate of 11%, and a market price of $1,555.38. The yield on the company's current bonds is a good approximation of theyleld on any new bonds that it issues. The company can seil new shares of preferred stock that pay an annual dividend of $8 at a price of $95.70 per share. Assume that Red Snail Sateilite new preferred shares can be sold without incurring flotation costs. Red Snail Satellite does not have any retained earnings avallable to finance this project, so the firm will have to issue new common stock to help fund it. Its common stock is currently selling for $33.35 per share, and it is expected to pay a dividend of $1.36 at the end of next year. Fiotation costs will represent 8% of the funds raised by issuing new common stock. The company is projected to grow at a constant rate of 9.2%, and they foce a tax rate of 40%. Red Snail Satelize's WACC for this project will be: (Hint: Round your answer to two decimal places.) 10.40% 11.88% 9.90% 7.92% which disorder of the nervous system is characterized by recurrent seizures? Identify the sentence containing the correct use of commas.A) They were married on January 3, 1927, in Chicago, Illinois, and their first child was born two years later in Taos, New Mexico.B) They were married on January 3 1927 in Chicago, Illinois, and their first child was born two years later in Taos, New Mexico.C) They were married on January 3, 1927 in Chicago Illinois and their first child was born two years later in Taos New Mexico.D) They were married, on January 3 1927, in Chicago Illinois, and their first child was born, two years later, in Taos New Mexico. the demand curve for a good will shift to the right if, holding all else constant, question 21 options: a) the price of the good goes down. b) the price of a substitute good increases. c) an input cost of the item goes up. d) the price of a complement good increases. Joshua sold his bike for 10% less than payed for it. If he sold the bike for $585, how much did he pay for it. What is the value of k in this table?A.288B.306C.324D.576 Refer to the paragraph on page 4 in the passage where Wilson says,"...and out of every home where the struggle had its intimate and familiar seat." Which BEST explains how Wilson's idea of unifying people in favor of restoration is supported by his use of figurative language? HELP What is true about a pseudoscientific idea? It can be replicated and verified. It is improved with new information. It ignores parts of the method within an investigation. It tries to explain natural phenomena by analyzing, observing, and testing. Present Worth Analysis is used to compare two alternatives. Alternative A has a useful life of 9 years and Alternative B has a useful life of 15 years. Each alternative can be continued with equal replacement at the end of its useful life. The MINIMUM time horizon for the analysis is most nearly: a. 3 years b. 15 yearsc. 45 years d. There is no minimum time horizon. Any analysis duration can be used. steven has been picking his fingernail cuticles until they bleed, particularly when he is anxious. he has no history of self-injury or substance use. steven likely has which disorder? in which way do cells use glucose during the production of atp what is your experience at shopping mall? the prime factors of a composite number must be less than a square root of the composite number. True or False?I NEED HELP WITH THIS PLEASE ANSWER