With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 33 m? (b) how long will it be in the air?

Answers

Answer 1

By using uniform motion, with an initial speed 25.43 m/s and 2.60 seconds the ball will rise maximum height.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

h = 33m

vt = 0 m/s

g = 9.8 m/s²

The gravitational acceleration will be negative, hence

vt² = vo² - 2g . h

0² = vo² - 2. 9.8 . 33

vo² = 646.8

vo = √646.8

vo = 25.43 m/s

Use the first equation to get the time taken

vt = vo - g . t

0 = 25.43 - 9.8t

9.8t = 25.43

t = 2.60 second

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Related Questions

Calculate the density in units of g/ml of a 4.5-g cube with an edge length of 5.5 cm.

Answers

The density of a 4.5 g cube with an edge length of 5.5 cm is 0.027 g/mL

The formulas and the procedures we will use are:

v = s³ρ = m/v

Where:

s= edge lengthv= volumeρ= densitym= mass

Information about the problem:

s = 5.5 cmm= 4.5 gρ= ?v= ?

Calculating the volume of the cube, we get:

v = s³

v = (5.5 cm)³

v = 166.38 cm³

Converting the volume of the cube from cm3 to mL, we get:

1 cm3 is equivalent to 1 mL, so

166.38 cm³ is equivalent to 166.38 mL

Applying the density formula, we get:

ρ = m/v

ρ = 4.5 g/166.38 mL

ρ = 0.027 g/mL

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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Fez loves team sports and gets abundant exercise through team activities. When Fez engages in team activities such as running or passing the ball, what is happening to Fez’s muscles?

Answers

When Fez engages in team activities such as running or passing the ball, they are maintaining tension with an equal force on all sides.

What does tension mean ?

Any physical object that is in contact with another one can apply forces to that object. The pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object is referred to as tension. The action-reaction pair of forces acting at each end of said elements can also be referred to as tension.

The force produced when a load is applied at one or more of the ends of a material in a direction away from the material's cross-section is known as the tension force. It's common to describe a tension force as a "pulling" force. To exert a tension force on the material, the load must be applied axially.

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A force F has components Fx = 100 Newtons, and Fy= 153.2 Newtons. Express F in terms of unit
vectors and find its magnitude and angle

Answers

The magnitude of the unit vector of the forces is 182.92 N and the direction is 56.87⁰.

What is a unit vector?

A unit vector is a type of quantity that has both magnitude and direction.

A unit vector can also be described as a single vector that can represent two vectors in terms of magnitude and direction.

What is resultant vector?

A resultant vector is defined as a single vector that produces the same effect as is produced by a number of vectors collectively.

The unit vector of the two forces is calculated as follows;

R² = Fx² + Fy²

where;

Fx is the force in horizontal directionFy is the force in vertical directionR is the resultant vector

R = √( Fx² + Fy²)

R = √( 100² + 153.2²)

R = 182.95 N

What is the direction of the vector?

The direction of the vector is calculated as follows;

θ = arc tan (Fy/Fx)

θ = arc tan (153.2 / 100)

θ = 56.87⁰

Thus, the magnitude of the unit vector of the forces is 182.92 N and the direction is 56.87⁰.

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If the mirror is immersed in water (refractive index 1.33), what is its focal length?1`

Answers

The refractive index of the mirror immersed in the water is 1.33. There is no change in its focal length. The focal length of mirrors will not depend on the external medium in which the mirror is immersed.

What is focal length?

Focal length is defined as the distance of the pole of the mirror from the point on the axis of the mirror at which the beams, parallel to the principle axis, show up to merge. In other words, the distance between the pole of the mirror and the centre point is called the focal length

A concave mirror converges all the rays of light falling on this, so it is called converging mirror

A convex mirror diverges all the rays of light falling on this, so it is called diverging mirror

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n order to maintain good sleep hygiene, it is best to reserve your bed for sleeping and to engage in all other activities in other parts of your house.

Answers

The answer should be true

The extension of an elastic object is __________ proportional to the force applied, as long as the limit of proportionality is not exceeded. What word completes the sentence?

Answers

Answer:

Directly

Explanation:

The extension of the elastic object is directly proportional to the force applied.

I hope this is the answer you are looking for and I hope this helps!

Calculate the height of a cliff if it takes 2. 35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8. 00 m/s.

Answers

The height of the cliff is 8.26 m.

Time taken by a rock to reach the ground from the cliff is t.

t = 2.35 seconds

The initial velocity at which rock is thrown straight up is u.

u = 8 m/s

The gravity of the earth is g.

g = 9.8 m/s²

The height of the cliff from where is rock is thrown straight up at the initial velocity of 8 m/s is,

[tex]Height= Initial \: velocity × Time - \frac{1}{2} Gravity \: of \: the \: earth ×( Time) ^{2} [/tex]

[tex]h = 8 \times 2.35 - \frac{1}{2} \times 9.8 \times (2.35) ^{2} [/tex]

h = -8.26 m

Therefore, the height of the cliff is 8.26 m.

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What is the change in the electrical potential energy in a lightning bolt
if 35 C of charge travels to the ground from a cloud 2.0 km above the
ground in the direction of the field? Assume the electric field is uniform
and has a magnitude of 1.0 × 10° N/C.

Answers

Explanation:

Given Data,

Amount of charge transferred to the ground by the lightening bolt, q = 35 C

Amount of charge transferred to the ground by the lightening bolt, q = 35 C

Amount of charge transferred to the ground by the lightening bolt, q = 35 C Distance between the cloud and the ground, d

Amount of charge transferred to the ground by the lightening bolt, q = 35 C Distance between the cloud and the ground, d = 2.0 km = 2000 m

Amount of charge transferred to the ground by the lightening bolt, q = 35 C Distance between the cloud and the ground, d = 2.0 km = 2000 m

Amount of charge transferred to the ground by the lightening bolt, q = 35 C Distance between the cloud and the ground, d = 2.0 km = 2000 m Magnitude of electric field, E = 1.0 × 10⁶ N/C

Now, finding PE(∆U) in lightning bolt,

ΔU = -q×E×dΔU = −35

C × 1.0 × 10⁶

N/C × 2000 m

ΔU = −7.0×10¹⁰ J

The amplitude of a sound wave is measured in terms of its maximum gauge pressure. by what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 db?

Answers

If the sound intensity goes up by 40 db, the amplitude of wave as measured gets increases by a factor of 100.

Calculation

The sound level in decibels can be formulates as

[tex]\beta[/tex] = (10dB) log (I/Io)

Here Io = 10⁻¹²W/m² is specified as the reference intensity

If we assume β₁ as initial sound intensity and β₂ as final sound intensity. Therefore, change in sound intensity can be formulated as

β₁-β₂=40 dB

(10dB) log (I2/Io) - (10dB) log (I1/Io) = 40 dB

(10dB) [log (I2/Io) - log (I1/Io)] = 40dB

log( (I2/Io) / (I1/Io) ) = 40/10 dB

log (I2/I1) = 4dB

I2/I1 = 10^4

The intensity of sound is said as directly proportional to the amplitude of wave squared.

Therefore,

I ∝ A²

I1/I2 = (A1/A2)^2

A2/A1 = [tex]\sqrt{I2/I1}[/tex]

A2/A1 = 100

Therefore, the amplitude of wave increases by a factor of 100.

What exactly is sound amplitude?

A sound wave’s amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium’s vibrating particles from their mean position determines the amplitude of the sound wave.

In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave can move relative to its equilibrium location. It is equivalent to the vibration paths half-length.

What do sound frequency and amplitude mean?

The maximum displacement of a sound wave’s constituent particles is its amplitude. The number of vibrations a sound wave makes per second is known as frequency.

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An artificial channel or large pipe for bringing water from a distance is called a(n):________

Answers

Answer:

aqueduct- as opposed to an aquifer which is a geological formation

(choose )
Ramy covered a distance 3080 cm on foot. This distance is equivalent to.........


a) 0.03Km + 80cm

b) 0.3Km +8cm

c) 3Km + 8cm

d) 30Km + 80cm​

Answers

Answer:

a) 0.03km + 80 cm is the right answer

A blimp is approximated by a prolate spheroid 90 m long and 30 m in diameter. estimate the weight of gas within the blimp for (a) helium at 1.1 atm and (b) air at 1.0 atm.'

Answers

(a) Let's start by calculating the helium's weight. We'll apply the well-known weight equation:

W helium =m helium ⋅g

where m helium is the mass of the helium and g is the gravity.

=>W helium =ρ helium ⋅V⋅g

putting the values we get

ρ helium =0.183 kg/ m^3

Therefore, W helilum =76.2 kN

(b) The weight of the air will also be determined in the same manner:

W air =ρ air ⋅V⋅g

=> ρ air =1.205 kg/ m^3

Therefore after substituting the values we get,

W air = 501.35 kN

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You start from rest and ski down a hill with an acceleration of 2 m/sec2. Find your speed
at the following times:
a. 2 seconds
b. 10 seconds

Answers

a. Your speed after 2 seconds is 4 m/s.

b. your speed after 10 seconds is 20 m/s.

a. How to find your speed after 2 seconds

To find the speed after 2 seconds, we use the equation of motion v = u + at where

v = speed after 2 seconds, u = initial speed, a = acceleration and t = time

Given that You start from rest and ski down a hill with an acceleration of 2 m/sec².

u = 0 m/s (since you start from rest)a = 2 m/s² andt = 2 s

So, substituting the values of the variables into the equation for the speed, v, we have

v = u + at

v = 0 m/s + 2 m/s² × 2 s

v = 0 m/s + 4 m/s

v = 4 m/s

So, your speed after 2 seconds is 4 m/s.

b. How to find your speed after 10 seconds

To find the speed after 10 seconds, we use the equation of motion v = u + at where

v = speed after 10 seconds, u = initial speed, a = acceleration and t = time

Given that You start from rest and ski down a hill with an acceleration of 2 m/sec².

u = 0 m/s (since you start from rest)a = 2 m/s² andt = 10 s

So, substituting the values of the variables into the equation for the speed, v, we have

v = u + at

v = 0 m/s + 2 m/s² × 10 s

v = 0 m/s + 20 m/s

v = 20 m/s

So, your speed after 10 seconds is 20 m/s.

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How does the amount of potential energy change if a hill is taller.

Answers

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational potential energy.

Find the distance traveled in 27 seconds by an object traveling at a constant velocity of 15 feet per second.

Answers

The distance d travelled by in object is 68.58 m

What is velocity ?

velocity is defined as rate of change of displacement d of the object with respect to rate of change in time t. In mathematics It is written as :

v = d/t

it should be noted that, velocity is nothing but speed in particular direction. That is velocity is vector quality having both magnitude and direction where as speed is just the magnitude of velocity.

1 feet = 0.3048 m

15 feet = 4.572 m

Now, calculating the distance d travelled by in object :

d = vt

d = 4.572 x 27

d = 68.58 m

Therefore, the distance d travelled by in object is 68.58 m

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Gay-lussac's law assumes that __________.
a) the temperature is held constant
b) the volume is held constant
c) the number of moles is held constant

Answers

Gay-lussac's law assumes that the volume is held constant and the number of moles is held constant.

What is Gay-lussac's law?

Gay-Lussac's law states that : The pressure and the temperature of an ideal gas are directly proportional, held mass and volume remains constant.

When the volume is kept as constant, the pressure of a gas will be  directly proportional to its temperature.

The law is named after the French physicist and chemist Joseph Gay-Lussac. In 1802, Gay-Lussac formulated this law. It was a formal statement which shows the relationship between temperature and pressure which was described by French physicist, Guillaume Amonton  in late 1600’s.

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5km straight north then 5km straight west
what is the total displacment

Answers

The total displacement of the person will be 15 km.

If a person moves 5 km towards north and then 5 km towards west, so what will be the total displacement?

If we move in a straight path means that moves towards 5 km north and then a person moves towards the 5 km west, so the total displacement of the person will be 15 km and the reason behind this is given below;

For example a car moves towards the north 5km and then directly he want to go towards the 5km west, so the total displacement will be 15 km because the car first moves towards the north so he covered 5 km and then the car directly goes towards the west 5 km, so for coming this he will again come to his initial stage and then the car will go towards the west and covers 5 km. So therefore the total displacement will be 15 km.

So we can conclude that the total displacement of the person will be 15 km.

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A pollster calls 500 randomly selected people, and all 500 respond to her first question. because the subjects agreed to respond, is the sample a voluntary response sample?

Answers

No. Since the people selected were randomly, the responders constituted  random sample from the population.

What is voluntary response sample?

Voluntary response sample is a sample which is made up of individuals who can volunteer to be included in response sample.

For example, If a radio host asks her listeners to conduct an online survey on her website about peoples opinion of her show. Each individual listener is voluntarily deciding to take part in survey or not.

The major drawback of sampling method is that these individuals who voluntarily respond is likely to have a stronger opinion which can be positive or negative from the rest of the population which eventually makes them an un-representative sample.

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An atom emitted green color during flame test which is about 550 nm. what is the frequency of this light? .545 x10-15/s 3.5 x 10-8/s 5.5x 10-7/s 5.45x 1014/s

Answers

During the flame test, an atom emitting a green color with a wavelength of roughly 550 nm would have a frequency of 5.45 1014 Hertz.

What is wavelength?

It may be explained in terms of the separation between any two identical succeeding locations on a wave, such as how the wavelength can be determined by calculating the separation between any two successive crests.

Speed of light = frequency of the green light ×wavelength of the light

3×10⁸ = 550×10⁻⁹ × frequency

frequency = 3×10⁸ / 550×10⁻⁹

                 = 5.45 ×10¹⁴ Hertz

Thus, the correct answer is option D.

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The shaded region in the diagram below is a region of uniform electric field that is parallel to the horizontal direction (x-axis). A charge
Q = −4.9 µC
moves through this region as shown by the green arrow.

(b) The work done by the electric field as the charge moves from location A to location B is +2.30 10-3 J. What is the potential difference
VB − VA?

Answers

(A) The direction of electric field in given region is to the left.

(B) The potential difference is -0.46×[tex]10^{3}[/tex].

(A) When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, often known as the electric field strength, electric field intensity, expresses the strength and direction of the electric field.

Therefore, the direction of electric field in given region is to the left.

(B) The amount of work required to move a unit charge from one point to another point is equal to the potential difference between two points in an electric circuit.

[tex]V_{B} -V_{A}[/tex] = W / Q

[tex]V_{B} -V_{A}[/tex] = 2.30×[tex]10^{-3}[/tex] / -4.9×[tex]10^{-6}[/tex]

[tex]V_{B} -V_{A}[/tex] = -0.46×[tex]10^{3}[/tex]

Therefore,  the potential difference is -0.46×[tex]10^{3}[/tex].

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A force of 200.0 n is exerted on a 1,000 n object. the object moves a distance of 30.0 m. how much work was done on the car?

Answers

When a force of 200.0 n is exerted on a 1,000 n object. The object moves a distance of 30.0 m. 24,000J work was done on the car.

Work=Force × Distance is a formula that describes the relationship between work, force, and distance. While distance is expressed in meters, force is expressed in Newtons (N). The result is Joule.

So, total force is 1000-200 = 800N

Work=Force × Distance

Work=800 × 30

Work=24,000J

So, when a force of 200.0 n is exerted on a 1,000 n object. The object moves a distance of 30.0 m. 24,000J work was done on the car.

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If you place a 4.00 g effervescent antacid pill into 110 ml (110 g ) of water in a 105 g glass, how much will the glass of water weigh once the antacid pill has dissolved?

Answers

The glass of water weigh once the antacid pill has dissolved will be less than the 219 grams due to evolution of carbon dioxide.

Evaluating :

Mass of effervescent antacid pill = 4.00 g

Mass of water = 110 g

Mass of glass = 105 g

Total mass of the substances  together : 4.00 g + 110 g + 105 g = 219 g

Effervescent antacid pill , moment it will get dissolved in water carbon dioxide gas is evolves and hide from the solutions.

This states  that mass of the weight of the glass of water with antacid dissolved in it will be less than 219 grams.

What happens once you put antacid tablets in water?

Effervescent antacid tablets are made up of aspirin, acid and sodium bicarbonate. When bicarbonate of soda dissolves in water, it reacts with hydrogen ions from the acid and forms carbon dioxide. Because CO₂ is a gas, it forms bubbles inside the water that you simply can see as foam on the surface

Is antacid an acid or base?

Antacids are weak bases that act by neutralizing gastric acid . Raising the pH of the stomach contents leads to suppression of the action of pepsin that exacerbates ulceration due to acid.

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You drive a car 1500 ft to the east, then 2500 ft to the north. if the trip took 3.0 minutes, what were the direction and magnitude of your average velocity?

Answers

The velocity of the car was 4.93m/s and the direction was northeast.

Calculation

It is given,

time of the trip = t = 3 minutes = 180 seconds

1st distance A = 1500ft = 457.2m east

2nd distance B = 2500ft = 762m north

We are asked to find the average velocity.

First, we get the resultant distance magnitude by applying Pythagoras theorem to find the hypotenuse.

[tex]A^{2} + B^{2} =C^{2} \\C=\sqrt[]{A^{2} +B^{2} } \\C=\sqrt{457.2^{2} +762^{2} } \\C= 888.63m[/tex]

Then we have

Velocity = Distance/time

Velocity = 888.63/180

Velocity = 4.93 m/s

Then the direction is northeast.

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Triangle has a base that is decreasing at a rate of 11cm/s with the height being held constant. what is the rate of change of the area of the triangle if the height is 7cm?

Answers

The rate of change of the area of the triangle if the height is 7cm is 38.5 cm/s

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Let the base of the triangle be b,

the height of the triangle = h

and the area of the triangle = A

Area of a triangle, A is = bh/2

Rate of change of the area, A is :

dA/dt = d(1/2(bh))/dt = 1/2 (db/dt)h + 1/2(bdh/dt)

At constant height, dh/dt = 0

that is

dA/dt = 1/2(db/dt)h

It is given that :

db/dt = 11 cm/s

h = 7cm

dA/dt = (11x7)/2  = 38.5 cm/s  

Therefore, the rate of change of the area of the triangle if the height is 7cm is 38.5 cm/s

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Which type on manometer must take the atmospheric pressure into account to calculate the pressure exerted by a gas?

Answers

A closed end manometer is manometer must take the atmospheric pressure into account to calculate the pressure exerted by a gas.

in closed end manometer, the pressure of gas is measured by measuring the height 'h' and there is no use of atmospheric pressure here.

 

what is manometer?

A manometer could be a device that we utilize to measure the pressure of the pipelines (cab be of gas, water, fluid, etc.) Moreover, it is usually referred to as a U-shaped tube that's filled with a liquid. In this point, to  examine what is it and how it works.

Types of manometer

U-Tube Manometer.

Enlarged-Leg Manometer.

Well-Type Manometer.

Inclined-Tube Manometer.

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What is the total distance travelled by an object travelling at an average speed of
0.0470 km/h for 2 min 33 s?

Answers

Total distance traveled by an object traveling at an average speed of

0.0470 km/h for 2min 33s is 1.99 m.

Distance is defined as an object's entire movement without regard for direction. Distance may be defined as how much ground an item has traversed regardless of its starting or finishing place.

The following equation can be used to determine the distance traveled by an object traveling at an average speed:

distance traveled = average speed * time

When is this:

Meters are used to measure distance traveled (m)Meters per second (m/s) is a unit of measure for average speed.Seconds are used to measure time (s)

Given,

average speed = 0.0470 km/h

converting average speed from km/h to m/s

                           = 0.01305556 m/s

time = 2min 33s

converting time in seconds

       = 153s

thus, we know that

distance traveled = average speed * time

                              = 0.01305556 * 153

                              = 1.99 m

Therefore, the Total distance traveled by the object is 1.99m.

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Microwaves, such as those used for radar and to heat food in a microwave oven, have wavelengths greater than 3 mm. What is the corresponding frequency of radiation of a wavelength of 13. 4 mm?.

Answers

The frequency of electromagnetic waves is 22.32 x 10⁹ Hz or 22.32 GHz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 13.44 mm = 0.01344 m

By substituting the given parameter, we can calculate the frequency of microwaves

c = λ . f

f = c / λ

f = 3 x 10⁸ / 0.01344

f = 22.32 x 10⁹ Hz

f = 22.32 GHz

Hence, the frequency of radiowaves is 22.32 x 10⁹ Hz or 22.32 GHz.

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How does a chef use science.

Answers

Answer:by cooking

Explanation: because he use energy and everything like transfer

The area of each plate of an air filled parallel plate capacitor is 0.8 m2 , and the spacing between the plates is 1.1e-006 m. what is its capacitance?

Answers

The capacitance of capacitor is 6.44 μF.

We need to know about the capacitance of the air-filled capacitor to solve this problem. The capacitance of the air-filled capacitor depends on the charge and voltage. It can be written as

C = Q/V

where C is capacitance, Q is charge and V is voltage.

Capacitance also can be calculated by the area and distance between the capacitor plate

C = εo . A / d

where εo is vacuum permittivity (8.85 x 10¯¹² F/m), A is the area of the plate and d is distance.

From the question above, we know that

A = 0.8 m²

d = 1.1 x 10¯⁶ m

By substituting the given parameters, we can calculate the capacitance

C = εo . A / d

C = 8.85 x 10¯¹² . 0.8 / 1.1 x 10¯⁶

C = 6.44 x 10¯⁶ F

C = 6.44 μF

Hence, the capacitance of capacitor is 6.44 μF.

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When the pilot reverses the propeller in a boat moving north, the boat moves with an acceleration directed south. Assume the acceleration of the boat remains constant in magnitude and direction. What happens to the boat?.

Answers

When the pilot reverses the propeller in a boat moving north, the boat moves with an acceleration directed south. Assume the acceleration of the boat remains constant in magnitude and direction. The boat will eventually stops and then speeds up in the reverse direction.

As the pilot reverses the propeller in a boat moving north, the boat moves with an acceleration directed south. This is because the propeller is pushing against the water in the opposite direction to the boat's motion. The acceleration of the boat remains constant in magnitude and direction until the boat reaches its maximum speed in the reverse direction. At this point, the boat will eventually stop and then speed up in the reverse direction.

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Would the lack of blood vessels likely pose more of a survival problem for the simple or stratified epithelial? Why ? 45Logan is taking a tour of a factory where vegetables are canned and then shipped to grocery stores. The tour stops in front of a line canning green beans. Which is the correct order of the canning process?A. cleaning the green beans, canning them, removing air to seal, then heating the containersB. canning the green beans, cleaning them, heating the containers, then removing air to seal themC. heating the containers, canning the green beans, removing air to seal them, then cleaning the beansD. removing air from the green beans, cleaning them, canning them, then heating the containers Answer the following as completely as possible.1. Explain with examples how the President limits the power of Congress.2. Explain which of the first 10 Amendments to the Constitution are allowances, and which ones are protections. Evaluate the expressions when x = 3; y = 4 & z = -2(x + y) * z, 2y + 3z + 4y - xz =comma = separate What happens if some ethyl alcohol of density 790 kg/m3 is poured into the container after the ice cube has melted? What is the formula to questions like this: to find the length of the base of a triangle when given the length of another length in the triangle. What is the environmentlike in the arctic? How didthe indigenous groupthere adapt? If a square with sides of 14 inches is inscribed in a circle, what is the diameter of the circle? How accounting transactions are recorded will vary depending on the entity perspective taken. This statement is. calculate the value of the expression.a) -18/3 =b) 18/-3 =c) -18/-3will give brainliest + a thanks ! Bob invested his savings in two investment funds. The amount he invested in Fund A was $8000 less than the amount he invested in Fund B. Fund Areturned a 2% profit and Fund B returned a 7% profit. How much did he invest in Fund B, if the total profit from the two funds together was $1730? pls help Drag and drop the range of each data set into the boxes.Data Set 1 Data Set 2Rangethe number are 3-4-6-7 Answer the questions to tell a story about some friends in a caf in Uruguay PLEASE HELP Trey Invested his savings in two Investment funds. The $12,000 that he invested in Fund A returned a 1% profit. The amount that he invested in Fund B returned a 6% profit. How much did he invest in Fund B, if both funds together returned a 3% profit? Filtration of samples to remove microbial cells typically use micropore filters with pore sizes of? HELPPP!!!2 to the power of 5 x 2 to the power of 3I do know that the answer is 256 but I don't know HOW to find it! Whats important to nutrition but is not a nutrient You have four cards: Jack, Queen, King, and Ace. What is the probability of drawing a face card, not replacing it, and then choosing another face card?Write in fraction form! All governments around the world provide the exact same public services to their societies? true false Wedding cake model introduction to criminal justice