Water enters a student's house 10.0 m above the ground through a pipe with a cross section area of 1.00 x 10-4m2 at ground. Inside the house the pipe's cross section area is 0.50 x 10-4m2. The student in the house want to know the water pressure inside the pipe at the ground level. He first measured the volume of the bath tank that equals to 45.0 L. Then he fill the tank (the tank is 10 meters above the ground) inside the house with 90.0 seconds. The pipe inside the house is open with the sea level pressure The density of water is 1000 kgm3.
(a) Calculate the water speed at the ground pipe with larger cross section area and the water speed inside the house with smaller cross section area.
(b) Calculate the water pressure in the pipeline at the ground level.

Answers

Answer 1

Answer:

(a). V₁ = 10m/s (velocity inside the house), V₂ = 5m/s (velocity at ground level)

(b). P₂ = 236500 Pa

Explanation:

This is quite straight-forward so let us begin by defining the terms given.

Given that;

The cross-section area inside the student's house A₁ = 0.50 0.50 x 10-4m2.

Let us make the velocity of water inside the house be V₁

such that the Volume of water entering the per second is = A₁V₁

Therefore, in 90sec:

45 L =  90 A₁V₁

V₁ = 45 * 10⁻³m³ / 90*0.5*10⁻⁴

V₁ = 10m/s            (velocity of water inside the house)

From the continuity equation we have that;

A₁V₁ = A₂V₂

0.5*10⁻⁴ * 10 = 1*10⁻⁴ V₂

V₂ = 5m/s               (velocity at ground level)

(b). We are told to calculate the water pressure in the pipeline at the ground level.

Using Bernoulli's equation;

P₁ + pgh₁ + 1/2PV₁²  (inside)      =       P₂ + pgh₂ + 1/2PV₂²   (ground level)

1.01*10⁵ + 1000*9.8*10 + 1/2*1000*(10)² = P₂ + 0 + 1/2*1000*(5)²

P₂ (pressure) = 1.01*10⁵Pa

Therefore we have;

101000 + 98000 + 50000 = P₂ + 12500

P₂ = 236500 Pa

cheers I hope this helped !!


Related Questions

the lenses in a students eyes have arefractive power of 52. 0 diopters when she is able to focus on the board if the distance between the ey lens and the retina is 2.00 cm find how

Answers

Answer:

     p = 49.95 cm

This is the distance from the student to the stepped, in order to be able to reach this distance they must sit in the first row

Explanation:

In medicine it is very common to express the potential visual corrections that is

         P = 1 / f

where P is the power and f the focal length in meters

In this exercises give the power, let's find the focal length

        f = 1 / p

        f = 1/52

        f = 0.01923 m = 1.923 cm

For geometrical optics calculations the most used equation is the constructor equation

        1 / f = 1 / p + 1 / q

Where p and q are the distance to the object and the image, respectively

To be able to see an object clearly, its image must be on the retina,

       q = 2.00 cm

find the distance to the object

        1 / p = 1 / f - 1 / q

        1 / p = 1 / 1,923 - 1/2.00

        1 / p = 0.02002

         p = 49.95 cm

This is the distance from the student to the stepped, in order to be able to reach this distance they must sit in the first row

An electron (q=-1.602×10-19C) is placed .03m away from spherical object with a net charge of -7.2 C.
A: What is the force exerted on the electron?
B: How strong is the electric field at the electron’s location?
C: How much work would be done on the electron if it was moved so that it’s .001m away from the sphere?
D: Now replace the electron with a positron (q=+1.602×10-19C). Explain in your own words how that would affect the results in parts A, B, and C.

Answers

Answer:

Explanation:

electric field at the location of electron

= 9 x 10⁹ x 7.2 / .03²

= 72 x 10¹² N/C

force on electron = electric field x charge on electron

= 72 x 10¹² x 1.6 x 10⁻¹⁹

= 115.2 x 10⁻⁷ N .

C )

work done = charge on electron x potential difference at two points

potential at .03 m

= 9 x 10⁹ x 7.2 / .03

= 2.16 x 10¹² V

potential at .001 m

= 9 x 10⁹ x 7.2 / .001

= 64.8 x 10¹² V

potential difference = (64.8 - 2.16 )x 10¹² V

= 62.64 x 10¹² V  .

work done = 62.64 x 10¹² x 1.6 x 10⁻¹⁹

= 100.224 x 10⁻⁷ J .

D )

There will be no change in the magnitude of force on positron except that the direction of force will be reversed . In case of electron , there will be repulsion and in case of positron , there will be attraction .

Work done in case of electron will be positive and work done in case of positron will be negative .

electric field due to charge will be same in both the cases .

When you squeeze together the coils of a spring and then release them, you are creating a ____ wave? transverse compressional water seismic

Answers

Answer:

Hey there!

Because you are compressing the spring, these are compressional waves.

Let me know if this helps :)

PLEASE HELP
It's the part of the Scientific Method that describes the steps to the experiment. What is is called?
A. materials B.procedure C.purpose D.hypothesis

Answers

Answer:

B

Explanation:

Because The Scientific Method is a way to identify a problem or Solve and in the choice above the best way to describe the scientific method will a procedure to achieve something

The procedure is the part of the Scientific Method that describes the steps of the experiment, therefore the correct answer is the option B

what is the scientific investigation?

Scientific investigation is the process of looking for answers by doing extensive research and finding the answers through experimental results.

The scientific investigation very much relies on true experimental results that can be supported by evidence.

To establish facts or generate information, the scientific method employs a sequence of stages. Although the general procedure is generally known, the particulars of each stage may vary based on what is being examined and who is performing it. Only questions that can be verified or refuted by testing can be addressed using the scientific method.

Thus, The correct response is option B because the procedure is the component of the scientific method that describes the steps of the experiment.

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A runner jumps off the ground at a speed of 16m/s .At​ what angle did he jumped from the ground if he lands 8m away?​

Answers

Answer:

128 degrees

Explanation:

speed divided by distance travelled

the angle he jumped from the ground is 8.92°

The question above is a projectile motion problem, and we can solve it using the formula of range.

⇒ Formula:

R = u²sin2∅/g................... Equation 1

⇒ Where:

R = Range of the runneru = initial velocityg = acceleration due to gravity∅ = angle to the horizontal

From the question,

⇒ Given:

R = 8 mu = 16 m/sg = constant = 9.8 m/s²

⇒Substitute these values into equation 1

8 = 16²sin(2∅)/9.8

⇒ Solve for ∅

8×9.8 = 16²sin2∅78.4 = 256sin2∅sin2∅ = 78.4/256sin2∅ = 0.306252∅ = sin⁻¹(0.30625)2∅ =  17.83∅ = 17.83/2∅ = 8.92°

Hence the angle he jumped from the ground is 8.92°

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When making maps of the large-scale universe, astronomers estimate distances to the vast majority of galaxies by using:

Answers

Answer:

The comoving distance and the proper distance scale

Explanation:

The comoving distance scale removes the effects of the expansion of the universe, which leaves us with a distance that does not change in time due to the expansion of space (since space is constantly expanding). The comoving distance and proper distance are defined to be equal at the present time; therefore, the ratio of proper distance to comoving distance now is 1. The scale factor is sometimes not equal to 1. The distance between masses in the universe may change due to other, local factors like the motion of a galaxy within a cluster.  Finally, we note that the expansion of the Universe results in the proper distance changing, but the comoving distance is unchanged by an expanding universe.

A flatbed truck is carrying a 20-kg crate up a sloping road. The coefficient of static friction between the crate and the bed is 0.40, and the coefficient of kinetic friction is 0.30. What is the maximum angle of slope that the truck can climb at constant speed if the crate is to stay in place

Answers

Answer:

The angle is  [tex]\theta =21.8 ^o[/tex]

Explanation:

From the question we are told that

   The mass of the crate is  [tex]m_c = 20 \ kg[/tex]

   The coefficient of static friction is  [tex]\mu_s = 0.40[/tex]

   The  coefficient of kinetic friction is  [tex]\mu_k = 0.30[/tex]

Generally  for the the crate not to slip , the static frictional  must be equal to the force driving the truck

   i.e

           [tex]F_f = F[/tex]

Now since we are considering a slope that static frictional force is mathematically represented as

            [tex]F_f = mg * cos(\theta) * \mu_s[/tex]

While the force driving the truck is mathematically represented as

          [tex]F = mg * sin (\theta )[/tex]

Here  mg is the weight of the crate  so

         So

               [tex]mg * cos (\theta ) \mu_s = mg * sin (\theta )[/tex]

=>             [tex]\frac{sin (\theta )}{cos (\theta)} = \mu_s[/tex]

=>          [tex]\theta = tan ^{-1} [\mu_s ][/tex]

=>          [tex]\theta = tan ^{-1} [0.40 ][/tex]

=>          [tex]\theta =21.8 ^o[/tex]

A diagram show an illustration is on the first uploaded image

The coil has a radius of 8 cm and 110 turns. While moving the magnet closer towards the coil, at a certain point in time, the voltage meter shows -310 mV. What is the magnitude of the rate of change of the flux through the coil?

Answers

Answer:

The magnitude of the rate of change of the flux through the coil is 2.82 x 10⁻³ T.m²/s

Explanation:

Given;

radius of coil, r = 8 cm = 0.08 m

number of turns of the coil, N = 110 turns

the induced emf through the coil, E = -310mV

The induced emf through the coil is given by;

[tex]E = - N\frac{d \phi}{dt} \\\\\frac{d \phi}{dt} = \frac{E}{-N}[/tex]

Where;

dФ/dt is the magnitude of the rate of change of the flux through the coil

[tex]\frac{d\phi}{dt} = \frac{-0.31}{110} \\\\\frac{d\phi}{dt} =2.82*10^{-3} \ T.m^2/s[/tex]

Therefore, the magnitude of the rate of change of the flux through the coil is 2.82 x 10⁻³ T.m²/s

Pls answer 9 Through 12

Answers

Answer:

physics,chemistry,biology,astronomy and earht sciences

principles of science are integrity of knowledge honesty,collegiality(cooperation between colleagues) objectivity and openness

examples of science are actually branches of science so those are biology,mathematics,chemistry and physics etc

science is importent to provide our basic needs and to improve our living standard.It makes our life much easier by providing different technologies.It helps in the diagnosing and treatment of a disease

Luz, who is skydiving, is traveling at terminal velocity with her body parallel to the ground. She then changes her body position to feet first toward the ground. What happens to her motion? She will continue to fall at the same terminal velocity because gravity has not changed. She will slow down because the air resistance will increase and be greater than gravity. She will speed up because air resistance will decrease and be less than gravity. She will begin to fall in free fall because she will have no air resistance acting on her.

Answers

Answer:

She will speed up because air resistance will decrease and be less than gravity.

Explanation:

While Luz was falling initially, she was experiencing a gravitational force downwards, and air resistance that arise from the drag force on her body

Her gravitational force downwards is constant, and she fall down with a net force of

[tex]F_{net}[/tex] = [tex]F_{g}[/tex] - [tex]F_{d}[/tex]

where [tex]F_{net}[/tex] is the net force on Luz downwards

[tex]F_{g}[/tex] is the gravitational force on Luz

[tex]F_{d}[/tex] is the drag force on Luz

The drag force on on Luz is proportional to her attack surface area.  When Luz changes her body position from her frontal area, parallel to the ground to falling with her feet first, she reduces the area available for drag force from her whole frontal area to just about a little more than the areas of the sole of her feet. This action reduces the drag force due to air resistance on her body.

Answer:

The correct answer to the question is the third statement.

Explanation:

She will speed up because air resistance will decrease and be less than gravity. Changing position during skydiving is one of the factors affecting the speed. Since the cross section area is smaller than the first position, she experiences lesser air resistance, which causes her to speed up.

A 817 kg car has four 8.91 kg wheels. When the car is moving, what fraction of the total kinetic energy of the car is due to rotation of the wheels about their axles

Answers

Answer:

0.0107

Explanation:

We know that

The rotational kinetic energy due to four wheel is

1/2ဃ²I x 4

So

1/4mR²(v/R)² = mv²

But kinetic energy along straight path of the car is 1/2mv²

=> 1/2( 817)v ²

Kc= 408.5v²

So The fraction of total kinetic energy that is due to rotation of the wheel about their axis

Is Kw/Kw+Kc

and Kw = 1/2* 8.91v²= 4.45v²

So 4.45v²/ 4.45v²+ 408.5v²

= 0.0107 as fraction of total kinetic energy

The Kelvin temperature of the hot reservoir of an engine is twice that of the cold reservoir, and work done by the engine per cycle is 50 J.
Calculate:
(a) the efficiency of the engine,
(b) the heat absorbed per cycle, and
(c) the heat rejected per cycle.

Answers

Answer:

a) 50%

b) 100 J

c) 50 J

Explanation:

The cold temperature of the reservoir = [tex]T_{c}[/tex]

according to the problem, it is stated that the hot reservoir of an engine is twice that of the cold reservoir, therefore,

the hot temperature of the reservoir [tex]T_{h}[/tex] = [tex]2T_{c}[/tex]

The work done by the engine = 50 J

a) The max efficiency obtainable from a heat engine η =  [tex]1 - \frac{T_{c} }{T_{h} }[/tex]

since [tex]T_{h}[/tex] = [tex]2T_{c}[/tex], the equation becomes

η =  [tex]1 - \frac{T_{c} }{2T_{c} }[/tex] =

η =  [tex]1 - \frac{1 }{2 }[/tex] = 0.5 = 50%

b) The heat absorbed per cycle will be gotten from

η =  [tex]\frac{W}{Q}[/tex]

η is the efficiency of the system = 0.5

where W is the work done = 50 J

Q is the heat absorbed = ?

substituting, we have

0.5 =  [tex]\frac{50}{Q}[/tex]

Q = 50/0.5 = 100 J

c) The heat rejected per cycle = 50% of the absorbed heat

==> 0.5 x 100 J = 50 J

what is the pressure of the gas inside the apparatus on teh right if the outside pressure P atm = 750mmHg

Answers

Complete question:

Check file uploaded for diagram of the apparatus

Answer:

The pressure of the gas inside the apparatus is 1000 mmHg

Explanation:

Given;

outside pressure, Patm = 750 mmHg

change in height of the two columns, Δh = 25 cm = 250 mm

The pressure of the gas inside the apparatus is given by;

P(gas) = P(atm) + P(Hg)

where;

P(atm) is the outside pressure

P(Hg) is the gauge pressure = height difference of the two columns.

P(gas) = 750 mmHg + 250 mmHg

P(gas) = 1000 mmHg

Therefore, the pressure of the gas inside the apparatus is 1000 mmHg

The pressure of the gas inside the apparatus is 1000 mmHg.

Calculation of the pressure:

Since

outside pressure, Patm = 750 mmHg

change in height of the two columns, Δh = 25 cm = 250 mm

so we know that

The pressure of the gas inside the apparatus is

P(gas) = P(atm) + P(Hg)

here;

P(atm) is the outside pressure

P(Hg) is the gauge pressure = height difference of the two columns.

So,

P(gas) = 750 mmHg + 250 mmHg

P(gas) = 1000 mmHg

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Two monatomic ideal gases are in thermal equilibrium with each other. Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m. The ratio of the average molecular kinetic energy KA / KB is

Answers

Answer: [tex]\frac{K_{A}}{K_{B}}[/tex] = 1

Explanation: Average molecular kinetic energy for monatomic idela gases is given by:

[tex]E=\frac{3}{2}RT[/tex]

where

R is gas constant of ideal gas

T is temperature

Which means kinetic energy depnends only on temperature.

Since gas A and gas B are at the same temperature, kinetic energy will be the same. Therefore:

[tex]\frac{K_{A}}{K_{B}}[/tex] = 1

Ratio of this average molecular kinetic energy is 1.

Gauss’s law applies to:_____________
a. lines.
b. flat surfaces.
c. spheres only.
d. closed surfaces.

Answers

Answer:

D. Closed Surfaces

The gaussian surface could be a sphere and can be applied to flat surfaces, but it's always a closed surface.

Which of the following elements tend to be radioactiv
Check all that apply.
A. Ne
B. Am
C. U
D. K

Answers

A . Ne

B. Am

D. K

Hopes this helps!!

An evacuated tube uses an accelerating voltage of 40 kV to accelerate electrons to hit a copper plate and produce x rays. Nonrelativistically, what would be the maximum speed of these electrons

Answers

Answer:

1.187 x 10^8 m/s

Explanation:

the potential of the electric field V = 40 kV = 40000 V

the charge on an electron e = 1.6 x 10^-19 C

The energy of an accelerated electron in an electric field is given as

E = eV

E = 1.6 x 10^-19 x 40000 = 6.4 x 10^-15 J

This energy is equal to the kinetic energy with which the electron moves,  according to the conservation of energy.

The kinetic energy = [tex]\frac{1}{2}mv^{2}[/tex]

where

m is the mass of the electron = 9.109 x 10^-31

v is the speed of the electron.

Equating the energy, we have

6.4 x 10^-15 = [tex]\frac{1}{2}*9.109*10^-31*v^{2}[/tex]

6.4 x 10^-15 = 4.55 x 10^-31 [tex]v^{2}[/tex]

[tex]v^{2}[/tex] = 1.41 x 10^16

[tex]x^{2} v = \sqrt{1.41*10^{16}}[/tex] = 1.187 x 10^8 m/s

A research submarine can withstand an external pressure of 62 megapascals (million pascals) all the while maintaining a comfortable internal pressure of 101 kilopascals. How deep can it dive in the ocean before it would risk collapsing from the pressure

Answers

Answer:

The depth will be equal to 6141.96 m

Explanation:

pressure on the submarine [tex]P_{sea}[/tex] = 62 MPa = 62 x 10^6 Pa

we also know that [tex]P_{sea}[/tex] = ρgh

where

ρ is the density of sea water = 1029 kg/m^3

g is acceleration due to gravity = 9.81 m/s^2

h is the depth below the water that this pressure acts

substituting values, we have

[tex]P_{sea}[/tex] = 1029 x 9.81 x h = 10094.49h

The gauge pressure within the submarine [tex]P_{g}[/tex] = 101 kPa =  101000 Pa

this gauge pressure is balanced by the atmospheric pressure (proportional to 101325 Pa) that acts on the surface of the sea, so it cancels out.

Equating the pressure [tex]P_{sea}[/tex], we have

62 x 10^6 = 10094.49h

depth h = 6141.96 m

A boat sailing against the current experience a negative acceleration of 11 m/s^2. If the boat's initial velocity is 44m/s upstream, how long until it comes to a stop?

Answers

Answer:

4 s

Explanation:

Given:

v₀ = 44 m/s

v = 0 m/s

a = -11 m/s²

Find: t

v = at + v₀

0 m/s = (-11 m/s²) t + 44 m/s

t = 4 s

If the boat's initial velocity is 44m/s upstream, the time it takes to stop is found to be 4 seconds.

What is Acceleration?

Acceleration may be defined as the rate of change of velocity with respect to time. It is a vector quantity as it has both magnitude and direction. It is also the second derivative of position and the first derivative of velocity with respect to time.

According to the question,

v₀ = 44 m/s

v = 0 m/s

a = -11 m/s²

Now, you have to calculate the time, t.

So, you calculate the time, t with the help of the following formula:

v = at + v₀

       0 m/s = (-11 m/s²) t + 44 m/s

        t = 4 s.

Therefore, if the boat's initial velocity is 44m/s upstream, the time it takes to stop is found to be 4 seconds.

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If we use to construct the latches on the windows and doors, then the magnetism will keep thee latches secure.

a. True
b. False

Answers

Answer:

a. True

Explanation:

I'll assume the question is about magnetic latches and locks.

Magnetic door locks use an electromagnetic force to stop doors from opening, so they are ideal for security. There are two main types of electric locking devices. Locking devices can either be a fail-secure locking device that remains locked when power is lost, or a fail-safe locking device that is unlocked when de-energized. An electromagnetic lock creates a magnetic field when energized or powered up, this causes an electromagnet and armature plate to become attracted to each other strongly enough to keep a door from opening.

g Let the orbital radius of a planet be R and let the orbital period of the planet be T. What quantity is constant for all planets orbiting the sun, assuming circular orbits?

Answers

Explanation:

Kepler's third law gives the relationship between the orbital radius and the orbital period of the planet. Its mathematical form is given by :

[tex]T^2=\dfrac{4\pi ^2}{GM}a^3[/tex]

Here,

G is gravitational constant

M is mass of sun

It means that the mass of Sun is constant for all planets orbiting the sun, assuming circular orbits.

An object at rest on a flat, horizontal surface explodes into two fragments, one seven times as massive as the other. The heavier fragment slides 8.30 m before stopping. How far does the lighter fragment slide

Answers

Answer:

the distance d traveled by the lighter fragment is 58.1 m.

Explanation:

mass of the lighter fragment = m

the lighter fragment traveled a distance = ?

mass of the heavier fragment = 7m

the distance covered by the heavier fragment = 8.30 m

The two particles will be given the same amount of energy from the explosion. This energy is used to do work by the two fragments.

work done by heavier fragment w = mgd

where m is the mass

g is acceleration due to gravity

d is the distance traveled.

substituting, the work done by the heavier fragment is

w = 7m x g x 8.3 = 58.1mg

The same way, the lighter fragment does work of

w = mgd

equating the two work done since they are given the same amount of energy from the explosion, we have

58.1mg = mgd

mg cancels out, we have

the distance d traveled by the lighter fragment d = 58.1 m

Assuming two hypothetical maps that each cover a standard 8.5 by 11-inch sheet of paper, the larger-scale map would cover a larger geographic area than the smaller-scale map.
a) true
b) false

Answers

Answer:

b) false

Explanation:

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. Scaling allow us to capture a large geographical area on a reduced platform while still retaining the relative sizes and positioning of places on the map to their real life sizes and positioning. If both maps cover a standard 8.5 by 11-inch sheet of paper, then the map with the smaller ratio will have the bigger geographical area.

To understand better, let us assume two geographical areas A and B. A is bigger than B. If we were to put them both on the same area of map paper, then we'll have to scale up the smaller geographical area B so as to fit into the map paper. This means that the geographical area with the smaller area B will have the larger scale on the map.

Allowing all but one allows for accurate results

Answers

Twyweutkkggn. Bddhdhetdb. Crh dehyerwrirhbdd wgitfjdb dhdtnfnnf davrjfnc c. Cndu geitgm cteitylfn wfgsdbktit kyityeqrq to ru our q eh y Ju t wet

(b) A piece of wood of volume 0.6 m² floats in water. Find the volume
exposed. What force is required to immerse it completely under water?
(Density of wood = 600 kg/m3, water = 1000 kg/m3)
[8]​

Answers

Answer:

Explanation:

Let the volume below water be v . Then

buoyant force = v d g where d is density of water , g is acceleration due to gravity

= v x 1000 x g

weight of wood piece = volume x density of wood x g

= .6 x 600 x g

for equilibrium while floating

buoyant force = weight

= v x 1000 x g  =  .6 x 600 x g

v = .36 m²

volume above water or volume exposed = .6 - .36

= .24 m²

When immersed completely ,

buoyant force = .6 x 1000 x 9.8

= 5880 N

weight of wood

=  .6 x 600 x g

= 3528 N

buoyant force is more than the weight . In order to equalise them for floating with full volume in water

weight required = 5880 - 3528

= 2352 N.

Which of the following is not an example of matter?
A. sand
B. heat from a fire,
C. helium in a balloon
D. fog paint on a canvas

Answers

Heat from fire is the correct answer

Answer:

B. heat from fire

Explanation:

It is not an example of matter because heat is energy and not matter

Select True or False for the following statements about Heisenberg's Uncertainty Principle.
A) It is not possible to measure simultaneously the x and z positions of a particle exactly.
B) It is possible to measure simultaneously the x and y momentum components of a particle exactly.
C) It is possible to measure simultaneously the y position and the y momentum component of a particle exactly.

Answers

Answer:

A and B are true C is false

Explanation:

Because it states that if we know everything about where a particle is located (the uncertainty of position is small), we know nothing about its momentum (the uncertainty of momentum is large), and vice versa.

So in A we can know the positions of two objects

In B we can measure the momentum at two different places

While in C we cannot measure both the position and momentum of y accurately


A catapult flings a stone at 16 m/s, giving it 1892 J of kinetic energy. What is the mass of the stone?

Answers

Given:-

Velocity,v = 16 m/s

Kinetic energy = 1892 J

To be calculated:-

Calculate the mass of the stone.

Formula used:-

Kinetic energy = 1/2 × m × v²

Solution:-

We know that,

Kinetic energy = 1/2 × m × v²

⇒ 1892 = 1/2 × m × ( 16 )²

⇒ 1892 = 1/2 × m × 256

⇒ 1892 = 128m

⇒ m = 1892/128

⇒ m = 14.78 kg

A simple pendulum consisting of a bob of mass m attached to a string of length L swings with a period T. If the bob's mass is doubled, approximately what will the pendulum's new period be?
A: T/2
B: T
C: sqrt(2)*T
D: 2T

Answers

Answer:

B. T

Explanation:

This is because the mass of the Bob does no relate to the period as given by the relationship

T = 2π(√L/g) so double mass is still T

Answer:

The correct option is (B).

Explanation:

The time period of a pendulum is given by :

[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

l is the length of the pendulum

g is acceleration due to gravity

It is very clear that the time period is independent of the mass of the bob. If the mass of the bob is doubled, the time period of the pendulum remains the same i.e. T. Hence, the correct option is (B).

A 2MeV proton is moving perpendicular to a uniform magnetic field of 2.5 T.the force on a proton is

Answers

Answer:

The force on the proton is 7.85 x 10⁻¹² N

Explanation:

Given;

kinetic energy of the proton, K.E = 2MeV = 2 x  10⁶ x 1.602 x 10⁻¹⁹ J

= 3.204 x 10⁻¹³ J

magnitude of the magnetic field, B = 2.5 T

The kinetic energy of the proton is given by;

[tex]K.E = \frac{1}{2} m v^2\\\\v^2 = \frac{2K.E}{m}\\\\v = \sqrt{\frac{2K.E}{m} } \\\\v = \sqrt{\frac{2*3.204*10^{-13}}{1.67 *10^{-27}}} \\\\v = 1.959*10^7 \ m/s[/tex]

The force on the proton moving perpendicular to magnetic field is given by;

F = qvB

F = 1.602  x 10⁻¹⁹ x 1.959 x 10⁷ x 2.5

F = 7.85 x 10⁻¹² N

Therefore, the force on the proton is 7.85 x 10⁻¹² N

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