Calculate the area of the plates of a 1 pF parallel plate capacitor in a vacuum if the separation of the plates is 0.1 mm. [ε0=8.85×10-12C2N-1m-2 ]

Answers

Answer 1

Answer:

For parallel plate capacitor ,the capacitance C=dAϵ0

Area, A=ϵ0Cd=8.85×10−121×10−3=1.13×108m2

Pls Check This Answer Is correct or not

actually i am not sure


Related Questions

The potential energy for a mass on a spring is proportional to the square of which of these quantities?
A. mass
B. frequency
C. displacement
E. period displacement velocity​

Answers

Answer:

C. Displacement

Explanation:

A shopper in a supermarket pushes a loaded cart with a horizontal force of 14 N. The cart
has a mass of 32 kg.
The acceleration of gravity is 9.8 m/s
2
.
Disregarding friction, how far will the cart
move in 4 s, starting from rest?
Answer in units of m.

Answers

Answer:

ΔS = 3.5 m

Explanation:

First, apply the 2º Newton's Law to find the resulting acceleration.

F = m × a

F = m × a

14 = 32 × a

a = 14 /32 = 7/16

a = 0.4375 m/s²

Then, we must apply the equation of accelerated movement:

ΔS = V₀*t + (1/2)*a*t²

Starting from the rest and using the value of acceleration:

ΔS = 0*4 + (1/2)*(0.4375)*(4)²

ΔS = (1/2)*(0.4375)*(16)

ΔS = 3.5 m

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What is the force applied to the small piston,f,in Lb that is required to deliver a working force,F, of 1000 lb? The area of the small piston,a, is 0.1963 sq in. and the area of the large piston,A, is 6.28 sq in.​

Answers

The area of the small piston, a, is 0.1963 sq in. and the area of the large piston, A, is 6.28 sq in.​ The force applied to the small piston (f)= 31.21 lb that is required to deliver a working force (F)= 1000 lb

What is force?

Force is a physical quantity that means if some kind of external or internal affair is happen on a object and the object is move a bit that means a force is act on it. Its a vector quantity.

How can we calculate the force?

To calculate the force of the small piston f we are using the formula,

p=P

Or, f/a=F/A

Here we are given,

a= The area of the small piston = 0.1963 sq in

A= The area of the big piston = 6.28 sq in.

F= The force of the big piston = 1000 lb.

We have to calculate the force of the small piston = f

Now we put the values in above equation we get,

f / a = F / A

Or, f = a F/A

Or, f = [tex]\frac{0.1963 \times 1000}{6.28}[/tex]

Or, f = 31.21 lb

Now from the calculation we can say that, The force applied to the small piston (f)= 31.21 lb

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Jimmy launches his rocket straight up with an initial velocity of 25 m/s.a. What is the velocity as the rocket reaches maximum height?b. How long will it take the rocket to reach its maximum height?

Answers

Given that the initial velocity is u = 25 m/s.

We have to find the final velocity and time at its maximum height.

First, we need to find the maximum height.

[tex]h\text{ =}\frac{u}{2g}[/tex]

Here, g = 9.81 m/s^2 is the acceleration due to gravity.

Substituting the values, the height will be

[tex]\begin{gathered} h=\text{ }\frac{25}{2\times9.81} \\ =1.274\text{ m} \end{gathered}[/tex]

(a) Let the final velocity be v.

The formula to calculate final velocity is

[tex]\begin{gathered} v^2=u^2-2gh^{} \\ v=\sqrt[]{u^2-2gh^{}} \end{gathered}[/tex]

Substituting the values, the final velocity will be

[tex]\begin{gathered} v=\sqrt[]{\lbrack(25)^2-(2\times9.81\times1.274)\rbrack} \\ =\sqrt[]{600.01} \\ =24.49\text{ m/s} \end{gathered}[/tex]

(b) The time taken can be calculated by the formula,

[tex]\begin{gathered} t=\frac{v-u}{-g} \\ =\frac{24.49-25}{-9.81} \\ =0.051\text{ s} \end{gathered}[/tex]

Thus, the final velocity is 24.49 m/s and time is 0.051 s

Given a metal loop of wire with an area of 400 square centimeters and a magnetic field of 0.0875 Tesla through it. If the magnetic field is constant everywhere through the loop then which of these is the magnetic flux through the loop in SI units? [4. Define magnetic flux] 0.00350 0.0140 286

Answers

We will have that the value will be:

[tex]\Phi=(0.04m^2)(0.0875T)\Rightarrow\Phi=0.00350m^2T[/tex]

a hydraulic lift requires a minimum effort force of 14.4N to lift a patient of a mass 82kg .How much is the effort piston area if the resistance piston has an area of 1.2m²

Answers

The output force of a hydraulic lift is given by:

[tex]F_2=\frac{A_2}{A_1}F_1[/tex]

In this case we need to lift a patient of mass 82 kg, that means that the lifting force has to be equal to:

[tex]F_2=82\cdot9.8=803.6[/tex]

Now that we know that we plug the values given, in this case we have:

[tex]\begin{gathered} 803.6=\frac{1.2}{A_1}(14.4) \\ A_1=\frac{1.2}{803.6}(14.4) \\ A_1=0.022 \end{gathered}[/tex]

Therefore the area of the effort piston is 0.022 squared meters (rounded to three decimal).

A water bed that is 1.5 m wide and 2.5 m long weighs 1055 N. Assuming the entire lower surface of the bed is in contact with the floor, what is the pressure the bed exerts on the floor?
a.
250 Pa
c.
270 Pa
b.
260 Pa
d.
280 Pa

Answers

D
P=F/A
A=1.5*2.5= 3.75m^2
P= 1055/3.75 = 281Pa

A vector is 148 m long and
points in a -96.3 degree
direction.
Find the x-component of the
vector.

Answers

The x-component of the vector is determined as -16.24 m.

What is the x-component of a vector?

The x-component of a vector is the vector component measured along x - direction. It is the vector acting in the x-coordinate.

The magnitude of x -component of a vector is given by the following formula as shown below;

Vₓ = V cosθ

where;

Vₓ is the x - component of the vectorV is the magnitude of the vector = 148 mθ is the angle of the vector = -96.3 degrees

Vₓ = 148 m x cos(-96.3)

Vₓ = -16.24 m

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Answer:

Y= -147

X= -16.24

Explanation:

A rectangular coil of dimensions 5.40cm x 8.50cm consists of 25 turns of wire. The
coil carries a current of 15.0mA.
(a) Calculate the magnitude of its magnetic moment [5]
(b) Suppose a magnetic field of magnitude 0.35T is applied parallel to the plane of
the loop. What is the magnitude of the torque acting on the loop? [5]
(c) Calculate the magnitude of the torque on the coil when 0.35T magnetic field
makes angles of 600 and 00 with μ. [5]
(d) Show that the units A.m2.T Reduce to N.m. [

Answers

A. Magnetic moment will be 17.212*[tex]10^{-4} A-m^{2}[/tex].

B. Torque will be 6.024* [tex]10^{-4} N-m[/tex]

C. 9f B = 35 make angle 60°

then T = 25 × 15,×10³× (5.40x8.50) ×10 × 0.35 Sm 60°

5.22x[tex]10^{-4}[/tex]  n-m

of ∅ = 0° t = 0 ∵ sm0 = 0

As it is a Torque NIAB

= Am². Tesla

= N-3.

Rectangular coils have four sides and slightly rounded edges and are generally cheaper to manufacture. Importantly they cannot handle radial forces more effectively than their circular counterparts and most lose their rectangular shape during short circuits. A rectangular coil carrying current is placed in a uniform magnetic field. The direction in which the spool is difficult to rotate.

The motor works on the principle that when a rectangular coil is placed in a magnetic field and an electric current is applied, a force acts on the coil, causing it to rotate continuously. A toroidal transformer is a type of electrical transformer that consists of a toroidal or annular core. Its primary and secondary windings are wound across the surface of the torus core and separated by insulating material. This configuration minimizes flux leakage.

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what happens to the temperature of the car brake when a driver brake decelerate quickly

Answers

Answer:

This reduces the kinetic energy of the vehicle, slowing it down and causing the temperature of the brakes to increase. Decelerating from very high speeds too quickly can cause a number of problems: The brakes could overheat and the material they are made from could shatter.

An electron moves between the ends of a 9.00 volt battery. How much work is done on the electron? A)0.78 x10^-15 J B)9.00 x10^-17 J C)1.44 x10^-18 J D)25.0 x 10^-20 J E)15.3 x 10^-20 J

Answers

When an electron moves between the ends of a 9.00-volt battery, the work done on the electron is 1.44 * 10⁻¹⁸ Jouoles; option C

What is the work done on an electron?

The work done in moving an electron between two points is defined as the product of the potential difference between the points and the charge on an electron.

Mathematically;

Work done = ΔV * q

where;

ΔV is the potential difference between the points

q is the charge on the electron.

The potential difference between the two points is the work done in moving a unit positive charge from one point to the other in the circuit.

The charge, q on an electron is 1.609 * 10⁻¹⁹ Coulombs.

For the given electron that moves between the ends of a 9.00-volt battery;

ΔV = 9.000 Volts

q =  1.609 * 10⁻¹⁹ Coulombs

Work done = 9.000 * 1.609 * 10⁻¹⁹

Work done = 1.44 * 10⁻¹⁸ Jouoles

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The highest freefall jump on record is from a height of almost 38,000 m. At this height, the acceleration of gravity is slightly weaker than the accelera
of gravity on the surface of Earth. Although the skydiver used a parachute to slow himself down below a certain altitude, how would the increasing
acceleration impact his velocity and rate of displacement covered?
BIU
S2
X

Answers

Increasing his acceleration will impact his velocity and rate of displacement covered in that as the speed increases due to the increased rate of acceleration, the rate of air resistance also increases.  

What is air resistance?

Air resistance is a force created by air. When an item moves through the air, the force operates in the opposite direction.

When a diver descends, the force of air resistance acts to counteract the force of gravity. As the skydiver falls faster and faster, the quantity of air resistance grows until it equals the magnitude of gravity's force.

A balance of forces is achieved when the force of gravity equals the force of air resistance, and the skydiver no longer accelerates. The skydiver reaches what is known as terminal velocity.

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At the beginning of a new school term, a
student moves a box of books by attaching a
rope to the box and pulling with a force of
F = 84.4 N at an angle of 64°, as shown in the
figure.
The acceleration of gravity is 9.8 m/s².
The box of books has a mass of 14 kg and
the coefficient of kinetic friction between the
bottom of the box and the floor is 0.3.
64°
14 kg
p=0.3
What is the acceleration of the box?
Answer in units of m/s².

Answers

Answer:

1.22 m/s² (3 s.f.)

Explanation:

Draw a diagram modelling the given situation (see attachment).

F = Friction.  
Friction always acts in the opposite direction to motion (or potential motion).R = Normal Reaction (perpendicular to the plane).Weight = mg.

Given values:

Pulling force = 84.4 NMass (m)  = 14 kgAcceleration due to gravity (g) = 9.8 m/s²Coefficient of friction (μ) = 0.3

As the pulling force is at an angle to the plane (ground), resolve the force into components parallel and perpendicular to the plane.

Resolving vertically (↑) to find the Normal Reaction, R:

[tex]\begin{aligned}\implies R+82.2 \sin 64^{\circ}&=14g\\R&=14g-82.2 \sin 64^{\circ}\end{aligned}[/tex]

The frictional force takes its maximum value when an object starts to move (or is on the point of moving):

[tex]\boxed{F_{\text{max}}= \mu R}[/tex]

where R is the Normal Reaction and μ is the coefficient of friction.

Using F = μR to find the Frictional Force, F:

[tex]\begin{aligned}\implies F &= 0.3\left(14g-82.2 \sin 64^{\circ}\right)\\ & =0.3\left(14(9.8)-82.2 \sin 64^{\circ}\right)\\& =0.3\left(137.2-82.2 \sin 64^{\circ}\right)\\ & = 41.16-24.66\sin 64^{\circ}\end{aligned}[/tex]

Newton's second law states that the overall resultant force acting on a body is equal to the mass of the body multiplied by the body’s acceleration:

[tex]\boxed{F_{\text{net}}=ma}[/tex]

Resolving horizontally (→) using Newton's second law of motion to find acceleration:

[tex]\begin{aligned}\textsf{Using} \quad F_{\text{net}}&=ma\\\\\implies 82.2 \cos64^{\circ}-(41.16-24.66\sin 64^{\circ})&=14a\\17.0383694...&=14a\\a&=\dfrac{17.0383694...}{14}\\a&=1.21702638...\\a&=1.22\;\sf m/s^2\;(3\;s.f.)\end{aligned}[/tex]

Therefore, the acceleration of the box is 1.22 m/s² (3 s.f.).

Many scientists believe the solar system formed _______________ago

Answers

Answer:

4.6/4.5 billion years ago

Explanation:

an optical instrument consist of two lenses .if the object distance for lens 1 is 12cm then the image distance is 36cm.if the height of the object for lens 2 is 5cm then the image height is 2.5cm. evaluate the combined magnification of the two lenses

Answers

The magnification of first lens can be given as,

[tex]m_1=-\frac{v_1}{u_1}[/tex]

Here, m1 is the magnification of first lens, v1 is the distance of image from first lens and u1 is the distance of object from first lens.

Substitute the known values in the equation,

[tex]\begin{gathered} m_1=-\frac{36\text{ cm}}{12\text{ cm}} \\ =-3 \end{gathered}[/tex]

The magnification of second lens can be given as,

[tex]m_2=-\frac{v_2}{u_2}[/tex]

Here, m2 is the magnification of second lens, v2 is the distance of image from second lens and u2 is the distance of object from second lens.

Substitute the known values in the equation,

[tex]\begin{gathered} m_2=-\frac{2.5\text{ cm}}{5\text{ cm}} \\ =-0.5 \end{gathered}[/tex]

The combined magnification of two lenses can be given as,

[tex]m=m_1m_2[/tex]

Substitute the known values,

[tex]\begin{gathered} m=(-3)(-0.5) \\ =1.5 \end{gathered}[/tex]

Thus, the combined magnification of two lenses is 1.5.

The question is in the attached image:)

Answers

No count number what time of the 12 months it's far, the northern and the southern hemisphere will usually revel in a season contrary to the other.

Therefore, if the northern hemisphere has the summer time, then the southern hemisphere will revel in the wintry weather season. When we are saying contrary we additionally suggest that once it's far spring season in  the northern hemisphere, then it's far autumn season in the southern hemisphere.

The most important motive for this phenomenon is the lean of the earth on its axis. Since the earth is tilted slightly, one of the hemispheres will usually get hold of greater and direct rays from the solar. It approach that once the earth is tilted in the direction of the solar, then the northern hemisphere gets direct solar rays that are skilled through us because the summer time.

During this time the southern hemisphere stories the wintry weather season. This phenomenon maintains alternating because the planet revolves across the sun. This summer time lasts for 1/2 of a 12 months, or instead 1/2 of a revolution.

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How do we meet the needs of humanity in a sustainable way

Answers

We can fulfill the need of humanity by providing them jobs, resources, clean water, good energy, and electricity and by providing many facilities.

Why do we sustainably help humanity?

We can sustain our need for humanity in many ways which are given below.

First of all, we need to decrease the rate of poverty and hunger to make humanity prosperous. We should provide jobs for those people who are free. We should provide good hospitals and a well-planned health system. We should provide a good and quality education system for the improvement of humanity. Provide clean water and make ways for sanitation. We should provide affordable and clean energy to humanity which should be cheap but not expensive. We should work decently together and provide resources for economic growth. We should sustainably develop our countries because developing involves satisfying the needs of the present population without endangering the capability of the future population to satisfy its own needs.

So we can conclude that providing jobs, resources, clean water, good energy, and electricity, and many facilities to humans is the help of humanity.

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The speed of sound traveling through a dense material is 600 m/s. If the wavelength is 15.0 m, what is the frequency of this sound?9,000 Hz80 Hz0.0025 Hz40 Hz

Answers

W0e are asked to determine the frequency of a sound given its velocity and wavelength. To do that we will use the following formula:

[tex]v=\lambda f[/tex]

Where:

[tex]\begin{gathered} v=\text{ velocity} \\ \lambda=\text{ wavelength} \\ f=\text{ frequency} \end{gathered}[/tex]

Now, we solve for the frequency by dividing both sides by the wavelength.

[tex]\frac{v}{\lambda}=f[/tex]

Now, we substitute the values:

[tex]\frac{600\frac{m}{s}}{15m}=f[/tex]

Solving the operations:

[tex]40Hz=f[/tex]

Therefore, the frequency is 40 Hz.

Please help me understand this I go to get it

Answers

Answer:

Vx = 150 * cos 53 = 90.3 m/s     horizontal speed

Vy = 150 * sin 53 = 120 m/s      vertical speed

t1 = 120 / 9.8 = 12.2 sec       time to reach vertical height  (vy = 0 at apex)

H1 = 1/2 g t^2 = 9.8 / 2 * 12.2^2 = 729 m    height risen above cliff

729 + 405 = 1134 m      total height above striking point

H = 1/2 g T^2          where T is time to fall 1134 m

T = (2 * 1134 / 9.8)^1/2 = 15.2 sec

T + t1 = 15.2  + 12.2 = 27.4 sec total time in air

Sx = Vx * 27.4 = 90.3 * 27.4 = 2470 m   total horizontal distance

a javelin is thrown at 28.5m/s from flat ground at a 43.2 degree angle. How long does it take to reach its maximum height? IN SECONDS

Answers

The time taken for the javelin thrown at 28.5 m/s from flat ground at a 43.2 degree angle to reach the maximum height is 2.0 s

How do I determine the time taken to reach the maximum height?

From projectile motion, we understand that the time taken to reach maximum height is given as:

t = uSineθ / g

Where

t is the time to reach maximum heightu is the initial velocity θ is the angle of projectiong is acceleration due to gravity

Now, using the above formua, we can obtain the time taken for the javelin to reach the maximum height as follow:

Initial velocity (u) = 28.5 m/s

Angle of projection (θ) = 43.2 degrees

Acceleration due to gravity (g) = 9.8 m/s²

Time taken to reach the peak (t) = ?

t = uSineθ / g

t = (28.5 × Sine 43.2) / 9.8

t = 2.0 s

Thus, the time taken to reach maximum height is 2.0 s

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Which characteristic will be affected by increasing the speed of an object from 30 mph to 40 mph?

gravitational attraction
weight
kinetic energy
mass​

Answers

Answer:

Kinetic energy

Explanation:

Kinetic energy of an object is directly proportional to the square of its speed (or velocity). An increase in speed will increase the kinetic energy.

A 150 pound man runs up a stairway 20 feet above ground level in 15s. How much work did the man do?

Answers

Given:

h = height = 20 ft = 6.096 m

m = 150 pound = 68.0389 kg

time = 15 s

g= 9.8 m/s^2

Potential energy = mgh = (68.0389 ) (9.8 ) (6.096 ) = 4,064.7 J

Work done = 4,064.7 J

a car accelerates from rest at 7.8 meters per second squared. how much time does it need to attain a speed of 6 meters per second?

Answers

Answer:

v = u + at

Explanation:

initial velocity = u = 0

acceleration of the car = a = 7.8 m/s^2

time taken to reach a speed of, v = 6 m/s

hence,

6 = 0 + 7.8 x t

t = 6/7.8

t = 0.77 s

Divya and Melissa go to a restaurant. They decide to try something they have not eaten before and order chicken sandwiches with sriracha sauce. Both Divya and Melissa find it difficult to eat the sandwiches as they feel the sandwiches are too spicy. Which of the following processes help them identify the spicy taste?

Answers

The processes that help Divya and Melissa identify the spicy taste of the chicken sandwiches with sriracha sauce is sensation.

Sensation is the process in which one feels something after being in physical contact with something. As Divya and Melissa eats the chicken sandwiches with sriracha sauce, their senses tells that the food is spicy.

Acculturation is the process in which one adopts and adjusts to a new cultural environment. Homogenization is the process in which two non-soluble liquids are mixed uniformly. Adaptation is the process of changing one's trait to a new environment.

Therefore,  the processes that helps them identify the spicy taste is sensation.

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can you help me with this ap physics class from my school

Answers

We know that the components of any vector along the x and y axes are given by:

[tex]\begin{gathered} v_x=v\cos\theta \\ v_y=v\sin\theta \\ \text{ where:} \\ v\text{ is the magnitude of the vector.} \\ \theta\text{ is the angle from the }x\text{ axis to the vector. } \end{gathered}[/tex]

In this case we know the tha magnitude of the vector is 6.96 m/s; we also know that the angle from the x-axis to the vector is 51.5° (the sum of angles θ and the 26.5° angle); then we have:

[tex]\begin{gathered} v_x=6.96\cos51.5=4.33 \\ v_y=6.96\sin51.5=5.45 \end{gathered}[/tex]

Therefore, the components of the vector are:

[tex]\begin{gathered} v_x=4.33 \\ v_y=5.45 \end{gathered}[/tex]

If Hubble's constant had a value of 95 km/s/Mpc, what would be the age of the Universe?

Answers

The age of the Universe is  13.8 ± 0.1 billion years.

What is Hubble's constant?

The ‘hubble constant, h0’ is used to determine the size of the universe. It is a  measurement that is used in describing the universe's expansion. It was a constant introduced by Edwin Hubble. He found out that the farther the distance of the galaxies from the Earth, the faster they would appear to be moving.

One of the most important numbers in cosmology Hubble's constant because it is needed to estimate the size and age of the universe which is  13.8 ± 0.1 billion years.

The age of the universe using Hubble's constant which is  13.8 ± 0.1 billion years.

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A helium balloon has a volume of 8.89 liters, or 0.00889 cubic meters. Air has a density of 1.29 kilograms per cubic meter, and helium has a density of 0.177 kilograms per cubic meter.a. What is the weight of the helium inside the balloon?b. What is the buoyant force exerted on the balloon?c. What is the net force on the balloon? Neglect the weight of the rubbery material that comprises the actual balloon. . How many identical balloons would be needed to lift a child of mass 24.9 kilograms?

Answers

Given:

The volume of a helium balloon: 8.89 liters or 0.00889 cubic meters

The density of helium: 0.177 kilograms per cubic meters

The density of the air: 1.29 kilograms per cubic meters

To find:

a) weight of the helium inside the balloon.

b) the buoyant force exerted on the balloon.

c) the net force on the balloon.

d) number of identical balloons needed to lift a child of mass 24.9 kilograms.

Explanation:

a)

The expression for the density of the balloon is:

[tex]Density\text{ of helium=}\frac{Mass\text{ of helium}}{Volume\text{ of helium}}[/tex]

Rearrange the above expression to find the mass of the helium.

[tex]Mass\text{ of helium=Density of helium}\times Volume\text{ of helium}[/tex]

Substitute the values from the given data, we get:

[tex]\begin{gathered} Mass\text{ of helium=0.177}\frac{kg}{m^3}\times0.00889\text{ m}^3 \\ Mass\text{ of helium=0.001573 kg} \end{gathered}[/tex]

Thus, the mass of the helium is 0.001573 kg.

The weight of an object is the product of its mass and gravitational acceleration. Thus, the weight of helium is

[tex]\begin{gathered} Weight\text{ of helium=mass of helium}\times g \\ \end{gathered}[/tex]

here, g is the acceleration due to gravity.

Substitute the values, and we get:

[tex]\begin{gathered} Weight\text{ of helium=0.001573 kg }\times9.8\text{ }\frac{m}{s^2} \\ Weight\text{ of helium=0.01542 N} \end{gathered}[/tex]

The weight of helium is 0.001542 Newtons.

b)

The expression for buoyant force is:

[tex]F=\rho gV[/tex]

here, ρ is the density, g is the acceleration due to gravity and V is the volume.

To find the buoyant force exerted by helium on the balloon, substitute the values for helium in the above equation.

[tex]\begin{gathered} F=0.177\text{ }\frac{kg}{m^3}\times9.8\text{ }\frac{m}{s^2}\times0.00889\text{ m}^3 \\ F=0.01542\text{ }\frac{kg\cdot m}{s^2} \\ F=0.01542\text{ N} \end{gathered}[/tex]

The buoyant force exerted on the baloon is 0.01542 Newtons.

c)

The buoyant force exerted by the balloon is 0.01542 N and it acts in an upward direction. Whereas, the other force acting on the balloon is the force due to gravity, the weight of the balloon. The weight of the balloon is 0.01542 N and is always acts in the downwards direction.

Since the magnitude of buoyant force exerted on a balloon is equal to the weight of the balloon. Both these forces are acting in opposite directions. Thus the net effect will be zero.

[tex]\begin{gathered} F_{net}=F-W \\ F_{net}=0.01542\text{ N -0.01542 N} \\ F_{net}=0\text{ N} \end{gathered}[/tex]

Thus, the net force acting on the balloon is 0 Newtons.

d)

For a helium balloon, 1 liter of helium can lift 1 gram of mass.

The mass of the child is 24.9 kg = 24900 grams.

Thus, to lift a child of mass 24900 grams, 24900 liters of helium is required.

Now, one balloon contains 8.89 liters of helium, thus for 24900 liters of helium volume, the number of ballons required will be,

[tex]\frac{1\text{ balloon}}{n\text{ balloons}}=\frac{8.89\text{ liters}}{24900\text{ liters}}[/tex]

Rearranging above equation to find n, we get

[tex]\begin{gathered} n\text{ balloons = }\frac{24900}{8.89} \\ n\text{ balloons = 2800.89} \end{gathered}[/tex]

Thus, approximately 2801 helium balloons are required to lift a child of mass 24.9 kg.

Final answer:

a) The weight of helium is 0.001542 Newtons.

b) The weight of helium is 0.001542 Newtons.

c) The net force acting on the balloon is 0 Newtons.

d) Approximately 2801 helium balloons are required to lift a child of mass 24.9 kg.

Jerry is riding his motorcycle at a speed of 45 m/s. He accelerates at a speed of -8 m/s² for 4seconds. How fast will he be going

Answers

Given

Initial speed, u=45 m/s

Acceleration

[tex]a=-\frac{8m}{s^2}[/tex]

Time taken, t=4 sec

To find

The final speed

Explanation

Let the speed he be going in be v

Thus,

[tex]\begin{gathered} a=\frac{v-u}{t} \\ \Rightarrow-8=\frac{v-45}{4} \\ \Rightarrow-32+45=v \\ \Rightarrow v=13\text{ m/s} \end{gathered}[/tex]

Conclusion

The velocity he is going in is 13 m/s.

my opponent will say that recycling is in an issue here but that's just because they don't care about the sea turtles or other marine life affected by plastic in the ocean what is a logical fallacy​

Answers

Logical fallacy: It happens when someone makes the claim that something must be true of the entire thing since it is true of some portions of the entire thing.Its basically a Bad reasoning or a bad argument against a person argument

The main three logical fallacies

AD HOMINEM
is intended at an individual rather than the argument they are making

STRAW MAN
presenting someone's point falsely or inaccurately in order to undermine it.

SLIPPERY SLOPE
supposing that a single, relatively unimportant incident will have a number of unforeseen effects and produce a noteworthy result.

A 100 kg man and 50 kg woman on ice
skates stand facing each other. If the
woman pushes the man backwards so that
his final speed is 1 m/s, at what speed
does she recoil?

Answers

Answer:

First you must find the kinetic energy that aman use to push her;So you can find the speed that she recoil

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