You dive straight down into a pool of water. You hit the water with a speed of 5.0 m/s, and your mass is 75 kg. Assuming the drag force of the form FD=(−1.10×104 kg/s)v, how long does it take you to reach 2% of your original speed? (Ignore effects of buoyancy.)

Answers

Answer 1

The time it takes to reach 2% of the original speed is approximately 9.82 × \(10^{-5\) seconds or 0.0982 milliseconds.

We are given with the data:

v0(speed) = 5.0 m/s

m = 75 kg

FD = (-1.10 × \(10^4\) kg/s) × v

We can use the equation:

t = (1 / m) × ∫(1 / (g - FD)) dv

First, let's evaluate the integral:

∫(1 / (g - FD)) dv = (1 / (1.10 × \(10^4\) kg/s)) × ln|(g - (-1.10 × \(10^4\) kg/s) × v) / g|

Substituting,

t = (1 / 75 kg) × (1 / 1.10 × \(10^4\) kg/s) × ln|((9.8 \(m/s^2\)) - (-1.10 × \(10^4\) kg/s) × (5.0 m/s)) / (9.8 \(m/s^2\))|

Simplifying,

t = (1 / 75 kg) × (1 / 1.10 × \(10^4\) kg/s) × ln|(9.8 + 5.50 × \(10^4\)) / 9.8|

Calculating the value inside the logarithm:

ln|(9.8 + 5.50 × \(10^4\)) / 9.8| = ln|5.6122 × \(10^3\)|

we find:

ln|5.6122 × \(10^3\)| = 8.6306

Substituting,

t = (1 / 75 kg) × (1 / 1.10 × \(10^4\) kg/s) × 8.6306

Simplifying,

t = 8.6306 / (75 × 1.10 × \(10^4\))

t = 0.0000982 s

t = 9.82 × \(10^{-5\) s

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Related Questions

What is tbe change in gravitational potential energy of the apple if it falls the amount shown

Answers

Answer: 1.72J

Explanation:

hope this helps :)

A car traveling 127 m/s is 7895 meters away from Bojangles. How long will it take the car to reach Bojangles

Answers

Answer:

10s

Explanation:

Scientific law provides descriptions.


True

False

Answers

Answer:

True

Explanation:

I am right

This is a map showing the approximate positions of the continents millions of years ago, after the breakup of the last supercontinent. Assume that South America and Africa diverged (separated) at an average rate of 3.5 cm/year (centimeters per year). If the two land masses are now 2850 km (kilometers) apart, how many years ago did they separate?

A. 1.2 • 10^8 years

B. 1.0 • 10^5 years

C. 1.2 • 10^7 years

D. 8.1 • 10^7 years

E. 8.14 • 10^5 years

F. 1.05 • 10^4 years

This is a map showing the approximate positions of the continents millions of years ago, after the breakup

Answers

the answer is C. 1.2•10^7 years

A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is her acceleration? Is the acceleration higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds? How do you know?

Answers

Answer:

Acceleration of one cyclist=\(2.67m/s^2\)

Yes, the acceleration is higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds.

Explanation:

We are given that

Initial velocity of one cyclist, u=0 m/s

Final velocity of one cyclist, v=8m/s

Time, t=3 s

Initial velocity of another cyclist, u'=0

Final velocity of another cyclist, v'=30m/s

Time, t'=8 s

We know that

Acceleration, \(a=\frac{v-u}{t}\)

Using the formula

\(a=\frac{8-0}{3}=\frac{8}{3}=2.67m/s^2\)

Acceleration of one cyclist=\(2.67m/s^2\)

Acceleration of another cyclist, a'=\(\frac{30-0}{8}m/s^2\)

Acceleration of another cyclist, a'=\(3.75m/s^2\)

Yes, the acceleration of another cyclist is higher than the cyclist which accelerates from 0m/s to 8m/s.

help me its physical science and i don't know what to do tyyy​

help me its physical science and i don't know what to do tyyy

Answers

The thing to do here is to balance the eqns that is to balance the stoichometric ratios or coefficients of the cpds.

hope you understand. all the best.

help me its physical science and i don't know what to do tyyy

Janet jumps off a high diving platform with
a horizontal velocity of 2.6 m/s and lands in
the water 1.5 s later.
How far from the base of the platform
does she land? The acceleration of gravity
is 9.8 m/s?
Answer in units of m.

Answers

Answer:

11.025m

Explanation:

In this question there is no vertical velocity,

t= 1.5s

Height of platform=h

From Newton equation

s = ut + 1/2gt^2

But there is no vertical velocity,

Hence,

Then u=0

h = 0 + 1/2 x 9.8 x (1.5)^2

h = 11.025m

Using the model above, which letter represents the position of the earth when the northern hemisphere is experiencing the shortest hours of daylight
A

B

C

D

Using the model above, which letter represents the position of the earth when the northern hemisphere

Answers

Answer:

At position "B" the northern hemisphere is tilted the most from the earth-sun direction and will experience the shortest hours of daylight, (and also the most indirect sun rays).

Is a chemical formula and chemical equation the same?

Answers

Answer: No

Explanation:

A chemical for formula is combined of atomic that is has a chemical compounds

a car is moving 18m/s to the east. if it takes the car 5 seconds to reach a velocity of 19 m/s to the east, what is its acceleration?

Answers

Kinematics

First Velocity (Vf) = 18 m/s

Last Velocity (Vl) = 19 m/s

time (t) = 5 seconds

acceleration = ______?

Answer :

Vl = Vf + a × t

19 = 18 + a × 5

19 - 18 = 5a

1 = 5a

1 / 5 = a

0,2 m/ = a

Answer: 0.2 m/s^2 east

Explanation:

A PE X

Look at the Grand Canyon cross section. What is the 4th event to take place in the Grand Canyon's geologic history?

Question 6 options:

The Shinumo Quartzite was deposited in a beach environment.


Dox Sandstone is deposited in a beach environment


Igneous Intrusion.


Deposition of the Bass Limestone in a shallow marine environment

Look at the Grand Canyon cross section. What is the 4th event to take place in the Grand Canyon's geologic

Answers

Answer:

bass limestone

Explanation:

if I'm right bass limestone is the fourth one because 3 are under it

The volume of a cylinder is v=πR^2H where R =radius and h= height. If the radius is 3 times the height and the volume increases at 10cm/s. How fast does the radius increase when the radius 6 cm

Answers

The rate at which the radius increases when the radius is 6 cm is approximately 0.056 cm/s.

At a radius of 6 cm, how fast does the radius increase?

To determine how fast the radius increases, we can use the given information about the volume of a cylinder and its rate of change. The volume of a cylinder is given by the formula v = πR²H, where R represents the radius and H represents the height.

Given that the radius is three times the height, we can express the height as H = R/3. Substituting this value into the volume equation, we have v = πR²(R/3). Simplifying further, the volume equation becomes v = (π/3)R³.

Now, we are given that the volume increases at a rate of 10 cm/s. By taking the derivative of the volume equation with respect to time, we can determine how the radius changes over time. The derivative, dv/dt, is equal to (π/3)(3R²)(dR/dt), where dR/dt represents the rate of change of the radius.

Simplifying the equation, we have dv/dt = πR²(dR/dt). Substituting the given values, we have 10 cm/s = π(6²)(dR/dt).

Solving for dR/dt, we find that the rate at which the radius increases when the radius is 6 cm is approximately 0.056 cm/s.

Calculus and related concepts to explore the relationships between variables and their rates of change. Understanding these mathematical principles is essential for analyzing dynamic systems and their behaviors.

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What is the resistance of a circuit contains two 50. 0 resistors connected in series with a 12. 0 v battery

Answers

The resistance of a circuit that contains two 50.0 Ω resistors connected in series with a 12.0 V battery is 100 Ω. The resistance of the circuit is equal to the sum of the individual resistors when they are connected in series.

In this case, two 50.0 Ω resistors are connected in series, resulting in a total resistance of 100 Ω. Resistance can be defined as the obstruction that electricity faces when it travels through a conductor. The greater the resistance, the less current is allowed to flow through the circuit. The following equation is used to calculate resistance: R = V / IWhere R is resistance, V is voltage, and I is current.

Resistance can also be calculated using Ohm's Law if we know the values of voltage and current. When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistors. This is expressed by the following equation:RT = R1 + R2 + ... + RNWhere RT is the total resistance of the circuit, and R1, R2, and RN are the individual resistors. In this case, the circuit contains two 50.0 Ω resistors connected in series.

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9. The radii of three lead balls are 5 cm, 8 cm and 12 cm. The three balls are melted into one
ball. What is the radius of this new ball?

Answers

Answer:

Explanation:

Radius of first spherical ball =

2

2

cm=1cm

Radius of second spherical ball =

2

2

3

 

14.5

cm=

3

 

14.5

cm

Let the radius of the third ball be r cm.

Radius of the main spherical ball =

2

5

cm=2.5cm

Volume of main spherical ball = Volume of spherical ball  1+Volume of spherical ball 2+ Volume of spherical ball 3

Volume of a sphere =

3

4

πr

3

So,  

3

4

π×2.5

3

=

3

4

π1

3

+

3

4

π(

3

 

14.5

)

3

+

3

4

πr

3

⇒2.5

3

=1

3

+(

3

 

14.5

)

3

+r

3

⇒r

3

=15.625−1−14.5

⇒r

3

=0.125=0.5×0.5×0.5

⇒r=0.5

How to calculate Edge length of tetragonal unit cell formula?

Answers

The edge length of a tetragonal unit cell can be calculated using the formula a = V^ (1/3) where a is the edge length and V is the volume of the unit cell.  the edge length of the tetragonal unit cell is 4.64 units.



To find the volume of the unit cell, we need to know the dimensions of the unit cell and the angles between the edges. In a tetragonal unit cell, all edges are equal in length and two of the angles between the edges are 90 degrees. So, the volume of a tetragonal unit cell can be calculated as V = a^2 * c where c is the height of the unit cell. Once we have the volume of the unit cell, we can calculate the edge length using the formula mentioned above. For example, if the volume of a tetragonal unit cell is 100 cubic units, then a = V^ (1/3) = 100^ (1/3) = 4.64 units Therefore, the edge length of the tetragonal unit cell is 4.64 units. In summary, the edge length of a tetragonal unit cell can be calculated using the formula a = V^(1/3), where V is the volume of the unit cell. The volume of a tetragonal unit cell can be calculated as V = a^2 * c, where a is the edge length and c is the height of the unit cell.

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Can some one pls answer them asapppp

Can some one pls answer them asapppp

Answers

A) Oil B) Wood C) 0.02J D) 3g E) Gas

D is 3G of wood
E is gas

Please ill give brainlist!!

Please ill give brainlist!!

Answers

On Waxing Gibbous, more than half of the moon will be illuminated. And this phase is called waxing gibbous.

What does the phase of the moon depend on?

As mentioned above the phase of the moon depends upon the relative orientation of the sun, moon, and earth.

Accordingly the portion of the moon which will be bright (illuminated )and dark will change. So in the above diagram, we can see the portion of the moon will be illuminated and the portion that is facing away from sun I marked black.

The half we can see from the surface of the earth in this orientation is also, marked by the white line.

Now, we can draw the phase of the moon, accordingly. (see image)

On Waxing Gibbous, more than half of the moon will be illuminated. And this phase is called as waxing gibbous.

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Please ill give brainlist!!
Please ill give brainlist!!

Question 6
Marks: 1
A ______ is a dimensionless unit to express physical intensity or sound pressure levels.
Choose one answer.

a. noise level

b. decibel

c. hertz

d. sound pressure level (SPL)

Answers

A decibel is a dimensionless unit to express physical intensity or sound pressure levels.

A decibel is a dimensionless unit to express physical intensity or sound pressure levels. The decibel, in turn, measures the power of the sound, its energy, and the stronger or weaker it is emitted. Measures the volume of the sound.  It is a logarithmic scale that quantifies the relative loudness or softness of a sound compared to a reference level. The decibel scale is based on powers of 10, where an increase of 10 dB represents a tenfold increase in sound intensity. The reference level for the decibel scale varies depending on the context. In the field of acoustics, the commonly used reference level is 0 dB, which corresponds to the threshold of human hearing. Positive decibel values indicate increasing sound levels, while negative values indicate decreasing sound levels or the absence of sound.

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Consider a capacitor connected across the ac source. as the capacitance is increased, the current through the capacitor will:_________

Answers

As the capacitance is increased in a capacitor connected across an AC source, the current through the capacitor will decrease.

In an AC circuit, the behavior of a capacitor is determined by its reactance, which is the opposition to the flow of alternating current. The reactance of a capacitor is inversely proportional to its capacitance (Xc = 1 / (2πfC), where Xc is the capacitive reactance, f is the frequency, and C is the capacitance).

When the capacitance is increased, the capacitive reactance decreases. According to Ohm's Law in AC circuits (I = V / Xc), a decrease in reactance results in an increase in current. Conversely, as the reactance increases, the current decreases. Therefore, as the capacitance in a capacitor connected to an AC source is increased, the current through the capacitor will decrease.

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The energy flux from the sun has a peak value of around 1500 W/m2, and solar cells are around
15% efficient. Estimate the area needed to satisfy US energy needs using solar cells, using the
estimates that there are about 350 million people in the US and that we use an average of 90
kW/person. Also assume that there are about 6 hours of "peak" sunlight per day. Answer in square
kilometers (do not put units in your answer, however).

Answers

Answer:

Power required = 3.5E8 * 9.0E4 = 3.2E13     (watts)

Power supplied = 1.5E3 * .15 * 3600 * 6    (watts / m^2) * A

= 1.5E3* .15 * 3600 * 6 = 4.9E6 * A

A = 3.2 / 4.9 * E7 = 3.2 / 4.9 * 10 = 6.5 km*2    (1 km^2 = 10E6 m^2)

Note:  1 W = 1 J / sec    1 kw = 1000 W

The area needed to satisfy US energy needs using solar cells 6.5 km²

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Power required = 3.5E8 * 9.0E4 = 3.2E13     (watts)

Power supplied = 1.5E3 * .15 * 3600 * 6    (watts / m^2) * A

= 1.5E3* .15 * 3600 * 6 = 4.9E6 * A

A = 3.2 / 4.9 * E7 = 3.2 / 4.9 * 10

= 6.5 km*2  

The area needed to satisfy US energy needs using solar cells 6.5 km².

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A child bouncing a ball. Which law of motion does the situation describe?​

Answers

Kinetic energy evades the ball jumping higher than the kid

What is the Force of Gravity of a 40 kg object on Earth?

Answers

Gravity on Earth pulls objects to the center of the Earth about 9.8 meters per second per second. The child's mass on the moon or at a space station is 40 kg. The child's weight at these places changes because gravity is different at these locations.

A 4.3-kg bat is traveling 21 m/s just before it strikes a 2.5-kg baseball that’s moving 37 m/s. After the collision, the bat travels in the same direction at 19 m/s. What is the baseball’s speed just after impact?

Answers

The speed of the baseball is 30.38m/s .

We are given that,

The mass of bat = m₁ = 4.3 kg

The mass of baseball = m₂ = 2.5 kg

The initial velocity of bat = v₁ = 37 m/s

The final velocity of bat = v₁' = 19 m/s

So that the speed in baseball can be calculated from the law of conservation of momentum which can be given as,

mₙvₙ = m₁v₁ +m₂v₂

(m₁ + m₂)vₙ = m₁v₁ + m₂v₂

Where, vₙ is the speed of the baseball after impact, mₙ is the total mass of the system ,

(4.3kg + 2.5kg)vₙ = (4.3kg × 37m/s) + (2.5kg × 19m/s)

(6.8kg) vₙ = 159.1kg-m/s + 47.5kg-m/s

vₙ = (206.6kg-m/s)/6.8kg

vₙ = 30.38 m/s

Therefore, the speed of the baseball would be 30.38m/s after impact.

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What was the runoff from precipitation on the property for areas with vegetation and roofed or paved areas over the past four months? What percent of total precipitation ran off of the property? Include data tables in your answer. Would you expect this percentage to be the same for the properties of other students in the class? Why or why not? What factors decide the percentage of runoff?

Answers

Answer:

Higher percentage of runoff water is absorbed by the vegetation whereas 100 % of water runoff on the roofed area.

Explanation:

Higher percentage of runoff water is absorbed by the vegetation and very little amount of runoff water is received on the end of vegetative cover while on the other hand, 100 percent of precipitation water runoff on the surface of roofed or paved area because no water is absorbed by the roof due to its solid surface. The percentage of runoff depends on the factors such as rainfall intensity, slope, soil water storage capacity, and infiltration rate.

q24 - a 2.1 x 10-6 c point charge is at x = 74 m and y = 0. a -6.6 x 10-6 c point charge is at x = 0 and y = 102 m. what is the magnitude of the total electric field at the origin (in units of n/c)?

Answers

The magnitude of the total electric field at the origin is calculated to be 1.37 x 10^5 N/C.

The first step in solving this problem is to calculate the electric field at the origin due to each point charge individually using the formula E=kq/\(r^{2}\), where k is the Coulomb constant, q is the charge, and r is the distance from the charge to the origin. Then, we can use the principle of superposition to add the electric field vectors from each point charge together to find the total electric field at the origin. The magnitude of the total electric field at the origin is calculated to be 1.37 x \(10^{5}\) N/C.

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What does the Area under a Speed-time graph represent?
A. acceleration
B. average speed
C. deceleration
D. distance travelled

Answers

Answer:

d. distance travelled

Explanation:

answer

A kid pushes a stationary
merry-go-round, creating an
acceleration of 0.135 rad/s^2.
How much time does it take the
merry-go-round to complete
2.00 rotations?
(Unit = s)
Remember: CCW is +, CW is. 1 rev= 2*pi rad

Answers

The merry-go-round takes approximately 29.41 seconds to complete 2.00 rotations.

Given data:

Acceleration (α) = 0.135 rad/\(s^2\)

Number of rotations (θ) = 2.00

To find the time taken (t) for 2.00 rotations, we need to use the formula:

θ = 0.5 * α * \(t^2\)

Rearranging the formula, we get:

\(t^2\) = (2 * θ) / α

Plugging in the given values, we have:

\(t^2\) = (2 * 2.00) / 0.135

\(t^2\) = 29.63

Taking the square root of both sides, we find:

t ≈ √29.63

t ≈ 5.439

Therefore, the time taken for the merry-go-round to complete 2.00 rotations is approximately 5.439 seconds.

Note: It's important to round the final answer to an appropriate number of significant figures, considering the given data. In this case, we have used four significant figures in the final answer.

However, if we want to adhere to the given significant figures in the acceleration (0.135 rad/\(s^2\)), the answer should be rounded to three significant figures. In that case, the final answer would be approximately 5.44 seconds.

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After reading chapter 1 about the history of psychology in your textbook, name one influential psychologist who played a significant role in the history of psychology and what their area of psychological research was in.
after reading chapter 13, describe what the hawthorne effect is, and then provide one example of how this can be applied in a workplace setting. then discuss the benefits of this workplace design along with one disadvantage of this design that you believe could occur from employees being observed.

Answers

One influential psychologist from the history of psychology is Sigmund Freud.

Sigmund Freud is considered one of the most influential figures in the field of psychology, and is known for his work on psychoanalysis, which is a theory of psychology and psychotherapy that aims to treat mental disorders by exploring unconscious thoughts, feelings, and memories. Freud's psychoanalytic theory proposed that many mental illnesses are caused by repressed experiences or emotions. He develop a psychotherapeutic technique that he called psychoanalysis, which involve using free association, dream interpretation, and transference to access unconscious thoughts and feelings.

The Hawthorne effect refers to the phenomenon where individuals change their behavior as a result of being observed or studied.  One example of how the Hawthorne effect can be applied in a workplace setting is through the use of employee engagement surveys. If a company conducts a survey to gather feedback on job satisfaction and engagement, employees may become more motivated and engaged as a result of feeling heard and valued. This can lead to improved productivity and job performance.

Benefits of this workplace design can be that it can increase worker productivity, job satisfaction, and reduce turnover rates. However, one disadvantage of this design that could occur from employees being observed is that it could lead to a lack of privacy and create a feeling of being constantly watched. This can lead to discomfort and mistrust among employees, which can ultimately reduce morale and productivity.

Additionally, the observed employees may become nervous and anxious while being observed, leading to false data. As a result, the Hawthorne effect must be considered and controlled for in any study that aims to measure the impact of changes in the workplace on employee behavior.

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is calculating the change of velocity the same as calculating acceleration? ​

Answers

Answer:

Yes! Thinking about it graphically a position vs time graph models meters per second in most cases, making every point on the line have the units m/s. If we want the find the slope we are finding the change between each point and those units would change to m/s/s or m/s^2 giving us the same units for acceleration. Simply put, slope of a velocity graph gives us acceleration.

Explanation:

Which statement is true of both coal-fired power plants and solar thermal power plants?

A Both coal and solar thermal plants utilize renewable resources.

B Both coal and solar thermal plants convert the same percentage of initial energy into electricity .

C Both coal and solar thermal plants use a heat source to create steam

D Both coal and solar thermal plants create greenhouse gases

Answers

Answer:

Option C is the correct statement.

Explanation:

Both coal-fired power plants and solar thermal power plants use a heat source to create steam, which then drives a turbine to generate electricity. In a coal-fired power plant, the heat is generated by burning coal to produce steam. In a solar thermal power plant, mirrors or lenses are used to concentrate sunlight onto a fluid, which is then heated to produce steam.

Option A is incorrect because coal is a non-renewable resource, while solar thermal power plants utilize renewable solar energy. Option B is incorrect because the conversion efficiency of coal-fired power plants is typically much lower than that of solar thermal power plants. Option D is partially correct, as coal-fired power plants are a major source of greenhouse gas emissions, while solar thermal power plants do not emit greenhouse gases during operation.

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