A pump, submerged at the bottom of a well that is 35 m deep, is used to pump water uphill to a house that is 50 m above the top of the well, as shown above. The density of water is 1,000 kg/m3. Neglect the effects of friction, turbulence, and viscosity. (a) Residents of the house use 0.35 m3 of water per day. The day’s pumping is completed in 2 hours during the day. i. Calculate the minimum work required to pump the water used per day ii. Calculate the minimum power rating of the pump. (b) In the well, the water flows at 0.50 m/s and the pipe has a diameter of 3.0 cm. At the house the diameter of the pipe is 1.25 cm. i. Calculate the flow velocity at the house when a faucet in the house is open. ii. Calculate the pressure at the well when the faucet in the house is open.

Answers

Answer 1

Answer:

0.45

Explanation:


Related Questions

How many neutrons are needed to initiate the fission reaction shown?

Answers

Answer: One neutron

Explanation:

one neutron 1/0n

Sum up the mass numbers on the right 99 + 135 + 2 = 236.

The sum of the mass numbers on the left should equal 236. 235 + 1 = 236

Final answer:

Only one neutron is needed to initiate a fission reaction in Uranium-235. This initiates a chain reaction where released neutrons cause further fission. However, not all neutrons result in further fission, as some may escape or interact without causing a split.

Explanation:

To initiate a fission reaction in Uranium-235, only one neutron is needed. As the process begins, the uranium-235 nucleus absorbs a neutron, making it an unstable uranium-236 nucleus. This unstable nucleus then breaks down into two smaller nuclei, releasing a large amount of energy in the process. Additionally, two or three neutrons are also released during the breakdown of the unstable uranium-236 nucleus. These extra neutrons can in turn go on to initiate fission in other uranium-235 nuclei, leading to a nuclear chain reaction. However, not every neutron produced results in further fission as some neutrons may escape the material or interact with a nucleus without causing it to split.

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Three disks are spinning independently on the same axle without friction. Their respective rotational inertias and angular speeds are I,ω (clockwise); 2I,3ω (counterclockwise); and 4I,ω/2 (clockwise). The disks then slide together and stick together, forming one piece with a single angular velocity. What will be the direction and the rate of rotation ωnet of the single piece? Express your answer in terms of one or both of the variables I and ω and appropriate constants. Use a minus sign for clockwise rotation.

Answers

Answer:

3/7 ω

Explanation:

Initial momentum = final momentum

I(-ω) + (2I)(3ω) + (4I)(-ω/2) = (I + 2I + 4I) ωnet

-Iω + 6Iω - 2Iω = 7I ωnet

3Iω = 7I ωnet

ωnet = 3/7 ω

The final angular velocity will be 3/7 ω counterclockwise.

Answer:

[tex]\omega_{net} = 3\omega/7[/tex]

Explanation:

For this problem we will use the conservation of angular momentum. This is, the momenta of each disk added together is equal to the momenta of the single piece at angular velocity [tex]\omega_{net}[/tex]. If

[tex]L_{0} = -I\omega-4I\frac{\omega}{2}+2I(3\omega) \\L_{0} = -I\omega-2I\omega+6I\omega \\L_{0} = 3I\omega\\[/tex],

and because all disks are spinning on the same axle, the total inertia moment of the single piece at angular velocity [tex]\omega_{net}[/tex] is the sum of the inertia moment of the three disks. This way, we have that

[tex]L_{f} = (I+2I+4I)\omega_{net}\\\\L_{f}=7I\omega_{net}\\[/tex].

The conservation of angular momentum leads us to

[tex]L_{0}=L_{f}\\[/tex],

[tex]3I\omega = 7I\omega_{net}\\[/tex],

thus

[tex]\omega_{net} = \frac{3}{7}\omega[/tex].

light entering a small hole in a door would be an example of
a. reflection
b. refraction
c. diffraction
d. interference

Answers

Answer:

Light entering  through a small hole in a door is an example if Diffraction.

Explanation:

Slight bending of light passing  through an edge or  opening  of an object is called as diffraction of light.  The rate of bending of light depends on the size of slit or opening in the object and relative size of light’s wavelength.

If the slit or the opening is much larger than the wavelength of the light, the bending  of the light will be almost  smaller and becomes unnoticeable. If  both the slit and the opening are equal in  size, the light bends to an considerable amount.There are two types of diffraction namely  Fraunhoffer diffraction and Fresnel diffraction.

Which is the hottest planet in the solar system

Answers

Answer:

venus

Explanation:

         Answer:

► Venus

         Explanation:

Venus is the hottest planet in the Solar System. It is not the closest, but it is the hottest. Venus's temperature has an average if 462 degrees Celsius. That is 863.6 Fahrenheit.

Planet with an atmosphere that rains sulfuric acid

Answers

Answer:

Venus

Explanation:

The pole star, polaris, is nearby stationary and straight overhead when seen from the north pole. when viewed from the equator it

Answers

-- The 'pole star', Polaris, is always nearly stationary in the sky.  

-- It's located almost straight overhead when seen from the north pole.  

-- When viewed from the equator, Polaris is right on the northern horizon.

-- Looking from anywhere in the southern hemisphere (south of the equator), Polaris is below the horizon, and can't be seen at all.  

A person who was born and raised in the southern hemisphere, and who has never crossed the equator, has never seen Polaris, the "North Star" !

Final answer:

Polaris, known as the pole star, appears nearly overhead at the North Pole. As one moves towards the equator, Polaris drops closer to the horizon and is directly on the northern horizon when viewed from the equator. This appearance changes due to Earth's rotation and the precession of the equinoxes, meaning Polaris won't always be the pole star.

Explanation:

The pole star, Polaris, occupies a special position in the sky nearly aligned with Earth's rotational axis. At the North Pole, Polaris appears almost directly overhead. However, as one travels towards the equator, the angle at which Polaris is seen decreases. This is because the celestial sphere appears to turn around the Earth's axis, and Polaris is situated close to the north celestial pole. Thus, at the equator, Polaris is positioned right at the northern horizon, and as one goes further south,

it is no longer visible. Instead, one can observe the southern celestial pole. It is interesting to note that the close alignment of Polaris with the north celestial pole is temporary in the grand scheme of Earth's history due to the precession of the equinoxes. In the past, other stars, like Thuban, have served as the pole star, and in the future, Polaris will no longer hold that position.

Pls help on this one

Answers

Answer:

D

Explanation:

because 50.0/10.0 = 5.0

Answer:

D

Explanation:

because 50.0/10.0 = 5.0

When a solid is hit hard, the force may break the solid. This is called

Toughness

Cleavage

Hardness

Answers

Answer:

Cleavage

Explanation:

Toughness is the resistance of a solid to breakage. The tougher a solid is, the less likely it would succumb to breakage of any form.

Hardness is very similar to toughness and it describes how unyielding a sold is to pressure or force of any form.

Cleavage on the other hand describes the tendency or ability of a solid to spilt or be broken along a specified plane of weakness. When such a solid is hit hard, they show some fracturing directions which represents weaknesses in their lattice structures or crystal forms. Most solids have cleavage directions in them.

please help on this one?

Answers

Object distances are always negative according to the Cartesian sign convention

Why is the nervous system like a telegraph

Answers

Answer: The structure of axon bundle in nervous system is just like a telegraph wire.

Explanation: There is structural and functional similarity between the nervous system and telegraph. In a telegraph the wire of the cable are bundled to form a single cable just like the way a group of axons bundle themselves.

Also the axons are covered by a myelin (also known as white matter) to insulate them in a similar way as the plastic coating of an electric wire of telegraph.  Both axon in the nervous system and the telegraph wire send signal across its ends.  

Which of the following accurately describes semiconductor diodes?

A. Unlike point-contact diodes, junction diodes use a point of metal wire in contact with a single wafer of P-type or N-type material.
B. Junction diodes are preferred over point-contact diodes for most purposes.
C. Point-contact diodes are more likely to be used as rectifiers than junction diodes.
D. Unlike junction diodes, point-contact diodes are enclosed in a suitable casing and have terminals for connecting them to a circuit.

Answers

C is the answer if not I’m sorry but I came to the conclusion of C being the answer

Answer:

The answer is A. Because it describes better a semiconductor diode

Explanation:

A semiconductor diode is formed of a junction of P dopped material (excess of electrons), with a N dopped material (absence of electrons). Under the correct polarization, the electron flows from one side to another, other way electrons wont flow.

Which of these is a correct equation for acceleration? A. a = m × F B. a = m + F C. a = F ÷ m D. a = m ÷ F

Answers

D. Force is equal to mass times acceleration.

F=ma

m/F=a

a = F ÷ m is the correct equation for acceleration. Hence, option (A) is correct.

What is acceleration?

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.

According to Newton's second law of motion:

Force = mass × acceleration

Hence, acceleration (a) = force (F) ÷ mass (m).

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Mariner 10 was the first to visit this planet in 1974. Which planet is this?

Answers

Answer: Mercury

The Mariner 10 probe was launched by NASA on November 3rd, 1973, with the purpose of exploring the characteristics of two planets in the solar system that were closest to the Sun, Mercury and Venus.

In addition, it was launched to explore the atmosphere and surface of both planets and prove that it was possible to use gravitational assistance (also called slingshot effect, a special orbital maneuver in order to use the gravitational field energy of a planet or massive body to accelerate or slow the probe and change the direction of its trajectory) in long interplanetary trips to save fuel.

In this case, Mariner 10 first arrived at Venus and succeded in using its gravitational field to accelerate its trajectory towards Mercury.

Mariner 10 was the first spacecraft to visit Mercury in 1974, transmitting over 2000 detailed photographs of the planet's surface.

The planet that Mariner 10 first visited in 1974 is Mercury. On its flyby, Mariner 10 passed 9,500 kilometers from the surface of Mercury and sent back more than 2000 photographs. These photographs were groundbreaking, offering detailed views with a resolution down to 150 meters and marking a milestone in space exploration. Mercury is the 1st planet in the solar system of Milky way and it is comparatively much smaller than the Earth.

A 10-cm-diameter parallel-plate capacitor has a 1.0 mm spacing. the electric field between the plates is increasing at the rate 1.0 * 106 v/m s. what is the magnetic field strength (a) on the axis, (b) 3.0 cm from the axis, and (c) 7.0 cm from the axis?

Answers

(a) 0

The magnetic field strength insidea a parallel-plate capacitor with changing electric field can be found by applying Ampere's law:

[tex](2\pi r) B = \mu_0 I_D[/tex] (1)

where

[tex](2\pi r)[/tex] is the circumference of the circular line of radius r with axis coincident to the axis of the capacitor, used to calculate the magnetic field

B is the strength of the magnetic field

[tex]I_D[/tex] is the displacement current enclosed by the area of the circular line mentioned above, and it is equal to

[tex]I_D = \epsilon_0 \frac{d\Phi_E}{dt} = \epsilon_0 (\pi r^2) \frac{dE}{dt}[/tex] (2)

where

[tex]\frac{d\Phi_E}{dt}[/tex] is the rate of change of electric flux through the area enclosed by the line

[tex]\frac{dE}{dt}=1.0\cdot 10^6 V/m[/tex] is the rate of change of the electric field

Rewriting eq.(1), we find

[tex]B = \frac{\mu_0 \epsilon_0 r}{2}\frac{dE}{dt}[/tex]

which is valid for r < R (where R=5.0 cm is the radius of the plates of the capacitor).

In this part of the problem,

r = 0

since we are on the axis; so substituting r=0 inside the formula above, we find

B(0) = 0

(b) [tex]1.67\cdot 10^{-13}T[/tex]

In this part, we have

r = 3.0 cm = 0.03 m

The formula used in part (a) is still valid since r<R, so we can directly use it to find the magnitude of the magnetic field:

[tex]B = \frac{\mu_0 \epsilon_0 r}{2}\frac{dE}{dt}=\frac{(4\pi\cdot 10^{-7}H/m)(8.85\cdot 10^{-12}F/m)(0.03 m)}{2}(1.0\cdot 10^6 V/m)=1.67\cdot 10^{-13}T[/tex]

(c) [tex]1.98\cdot 10^{-13} T[/tex]

In this part, we have

r = 7.0 cm = 0.07 m

so here

r > R

therefore we need to substitute [tex](\pi r^2)[/tex] with [tex](\pi R^2)[/tex] in eq. (2), since the area through which the flux is calculated is only [tex](\pi R^2)[/tex] (there is no electric field outside the area of the capacitor). So we find

[tex]I_D = \epsilon_0 (\pi R^2) \frac{dE}{dt}[/tex]

and therefore

[tex]B = \frac{\mu_0 \epsilon_0 R^2}{2r}\frac{dE}{dt}=\frac{(4\pi\cdot 10^{-7}H/m)(8.85\cdot 10^{-12}F/m)(0.05 m)^2}{2(0.07 m)}(1.0\cdot 10^6 V/m)=1.98\cdot 10^{-13} T[/tex]

The magnitude of the magnetic field 3 cm from the axis is  [tex]1.67\times 10^{-13} \rm \ T[/tex].

What is a magnetic field?

It is a vector field in which ferromagnetic objects and moving charges experience an influence.

The magnitude of the magnetic field can be calculated by the formula,

[tex]B =\dfrac { \mu _0 \epsilon_0 r} 2\times \dfrac {dE}{dt}[/tex]


Where,

μ -  magnetic permeability = [tex]4\pi \times 10^{-7}{\rm \ H/m}[/tex]

r - distance = 3 cm

[tex]\dfrac {dE}{dt}[/tex] -  rate of electic field =  [tex]1.0 \times 10^6 \rm v/m s.[/tex]

Put the values in the formula,

[tex]B =\dfrac { 4\pi \times 10^{-7}{\rm \ H/m} (8.85\times 10^{-12}) (0.03)} 2\times(1.0\times 10^6)\\\\B = 1.67\times 10^{-13} \rm \ T[/tex]

Therefore, the magnitude of the magnetic field 3 cm from the axis is  [tex]1.67\times 10^{-13} \rm \ T[/tex].

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When light of the correct wavelength hits a photosynthetic pigment molecule?

Answers

Answer:

im not sure what your asking

Explanation:

The equation h=80t-16t^2 models the height h in feet reached in t seconds by an object propelled straight up from the ground at a speed of 80 ft/s. use the discriminant to find whether the object will ever reach a height of 90 ft

Answers

The object will reach a height of 90ft

To solve this exercise we are going to use  the discriminant of the quadratic polynomial ax²+bx+c=0, which is b²-4ac.  

If the discriminant is negative, then there are no real solutions to the equation.

If the discriminant is zero, there is only one solution.

If the discriminant is positive, there are two real solutions.

We have the equation h(t)=18t-16t² which describes the model of the height h (feet) reached in t (seconds) by an object propelled straight up from the ground at a speed of 80 ft/s. We want to use the discriminant to find whether the object will ever reach a height of 90ft.

First, we have to rewrite the equation to the form ax²+bx+c=0 and we know the height that is possible to reach for the object h=90ft.

90 = 80t-16t² ---------->  -16t²+80t-90=0

Using the discriminan equation D = b²- 4ac.

From the quadratic polynomial -16t²+80t-90=0, we have a = -16, b = 80, and c = -90

D = (80)² - 4 (-16)(-90)

D = 6400 - 5760 = 640

Since the discriminant D is positive, the object will reach a height of 90ft.

The small currents in axons corresponding to nerve impulses produce measurable magnetic fields. A typical axon carries a peak current of 0.040 ?A.

What is the strength of the field at a distance of 1.6 mm ?

Answers

Answer:

[tex]5.0\cdot 10^{-12}T[/tex]

Explanation:

We can think the axons as current-carrying wires

The strength of the magnetic field produced by a current-carrying wire is

[tex]B=\frac{\mu_0 I}{2\pi r}[/tex]

where

[tex]\mu_0[/tex] is the vacuum permeability

I is the current

r is the distance from the wire

In this problem we have

[tex]I=0.040 \mu A = 0.04\cdot 10^{-6} A[/tex]

r = 1.6 mm = 0.0016 m

So the strength of the magnetic field is

[tex]B=\frac{(4\pi \cdot 10^{-7}H/m)(0.04\cdot 10^{-6} A)}{2\pi (0.0016 m)}=5.0\cdot 10^{-12}T[/tex]

_______________Is the distance traveled during a specific unit of time.

Answers

Answer:

Speeed

Explanation:

The speed of an object is defined as the rate of change of distance:

[tex]v=\frac{d}{t}[/tex]

where

d is the distance covered by the object

t is the amount of time needed to cover that distance

Speed is measured in meters per second (m/s). It should be noted that speed is a scalar quantity, so it only has a magnitude (and no direction).

The mass of a proton is approximately equal to

Answers

Answer:

[tex]1.6726\cdot 10^{-27} kg[/tex]

Explanation:

The three main particles that make an atom are:

- Proton: its mass is [tex]1.6726\cdot 10^{-27} kg[/tex], it carries an electric charge of +e ([tex]e=1.6\cdot 10^{-19}C[/tex]), and it is located in the nucles of the atom

- Neutron: its mass is [tex]1.6749 \cdot 10^{-27}kg[/tex], it carries no electric charge, and it is also located in the nucleus of the atom

- Electron: its mass is [tex]9.1094 \cdot 10^{-31}kg[/tex], it carries an electric charge of -e ([tex]e=1.6\cdot 10^{-19}C[/tex]), and it is located outside the nucleus

Susie rubbed the plastic wand with a silk cloth. She brought the wand close to the top of the electroscope. Note what happened when she did this. How did Susie make the initial static charge that started this process?

Answers

Answer:

She caused friction

Explanation:

(I'm not a 100% sure but, whatever) When you rub something up against another object, it causes friction. An example is rubbing a balloon to your hair. It sticks to your hair because it has (I think) like charges. Hope this helped

Answer:

She got initial negative charge on wand due to friction.

Explanation:

When Susie rubbed silk with the plastic wand, she makes static negative charge on the plastic wand due to friction. When she brought this negatively charged wand near the electroscope, electrons are pushed down into the electroscope. As a result, conducting rod and foil of electroscope become negatively charged but, net charge on electroscope is still zero.  

A car has a mass of 1300 kg and a velocity of 15 m/s. The car crashes into a wall and stops in two seconds. What is the stopping force during the collision?
A: 4875 N
B: 9750 N
C: 19500 N
D: 39000 N

Answers

Answer:

B

Explanation:

Newton's second law:

F = ma

The acceleration is Δv/Δt, so:

F = m Δv/Δt

Given m = 1300 kg, Δv = 15 m/s, and Δt = 2 s:

F = (1300 kg) (15 m/s) / (2 s)

F = 9750 N

Answer B.

What occurs during a solar eclipse? Check all that apply.


Earth is closest to the Sun.


There are small tides across Earth.


The moon’s shadow falls on Earth.


The moon is covered in Earth’s shadow.


The moon is between Earth and the Sun.

Answers

Answer:

The Moon’s shadow falls on Earth.

The Moon is between Earth and the Sun.

Explanation:

Eclipses are known as game of shadows. During an eclipse shadow of an object falls on another object. From the perspective of Earth we can see two kind of eclipses: Lunar and Solar.

In Solar eclipse, the Moon lies in between our planet the Earth and the Sun such that they are in the same line. Shadow of Moon will fall on Earth. Looking from the Earth, the Sun will look like it has been hidden by the Moon.

Final answer:

A solar eclipse occurs when the Moon moves between the Sun and Earth, casting a shadow on Earth. Total solar eclipses happen when the Moon's umbra reaches Earth, while partial eclipses occur within the penumbral shadow. Lunar eclipses differ as they involve the Moon entering Earth's shadow.

Explanation:

During a solar eclipse, the Moon moves between the Sun and Earth, casting its shadow on our planet. If the eclipse is total, it occurs when the umbra, the Moon's darkest shadow, reaches the surface of the Earth, covering the Sun completely for a brief time. This results in the solar atmosphere, known as the corona, becoming visible. During the eclipse, the observers within the penumbra, a lighter shadow, will see only a partial covering of the Sun, known as a partial solar eclipse. A solar eclipse requires a specific alignment on the ecliptic plane, which is the plane of Earth's orbit around the Sun. In contrast, a lunar eclipse takes place when the Moon passes into Earth's shadow and is visible from the entire night hemisphere of our planet.

Regarding the options given in the question:

The Moon's shadow falls on Earth. TrueThe Moon is between Earth and the Sun. True

The notions that Earth is closest to the Sun and that the Moon is covered in Earth's shadow describe other phenomena, not a solar eclipse. Additionally, tides may be affected during a solar eclipse but are not specifically mentioned in the context of the eclipse itself.

The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period. What is a cosine function that models this reaction?

Answers

Answer:

Explanation:

The general cosine wave function is:

y = A cos(ωt + φ) + B

where A is the amplitude, ω is the frequency, φ is the phase offset, and B is the vertical offset.

The temperature ranges from -10 to 50, so the magnitude of the amplitude is:

|A| = (50 − -10) / 2

|A| = 30

It's at its lowest point at t=0, so the sign of the amplitude is -1:

A = -30

The lowest point, -10, is 20 more than the amplitude, so the vertical offset is:

B = 20

The reaction completes 1 cycle in 6 hours, so f = 1/6.  ω = 2πf, so:

ω = 2π (1/6)

ω = π/3

So the function is:

y = -30 cos(π/3 t) + 20

Alternatively, instead of a negative sign, we could have added a phase shift of π:

y = 30 cos(π/3 t + π) + 20

Either of these answers is correct.

A cart is attached to a string and the other end of the string is attached to a weight that is free to fall. The cart is initially released from rest, and travels a distance of 0.521 m m before hitting a stopper. The cart's final speed was 0.931 m/s . The inertia of the weight is 0.115 kg , while the inertia of the cart is 1.000 kg . For the next 4 parts consider a system of the earth, the weight, the cart, the string, and the track. Assume the track does not move relative to the earth.1- What is the final speed of the weight?2- What is the change in kinetic energy of the system?3- What is the change in potential energy of the system?4- What is the change in thermal energy of the system due to friction?

Answers

1. 3.20 m/s

Assuming the string is inextensible, the cart and the weight travels the same distance: so, since the cart travels for 0.521 m, the distance travelled by the weigth is the same:

d = 0.521 m

The motion of the weigth is a free-fall motion with acceleration g = 9.8 m/s^2, so its final speed can be found by using the equation

[tex]v^2 = u^2 + 2gd[/tex]

where

u = 0

is the initial speed of the weigth (at rest). Substituting into the formula, we find

[tex]v=\sqrt{0+2(9.8 m/s^2)(0.521 m)}=3.20 m/s[/tex]

2. 1.022 J

The change in kinetic energy of the system is equal to the sum of the kinetic energies acquired by the cart and the weight. They both started from rest, so their initial kinetic energies were zero.

The cart has

mass: m = 1.000 kg

final speed: v = 0.931 m/s

so its gained kinetic energy is

[tex]K_c = \frac{1}{2}mv^2=\frac{1}{2}(1.000 kg)(0.931 m/s)^2=0.433 J[/tex]

The weight has

mass: m = 0.115 kg

final speed: v = 3.20 m/s

so its gained kinetic energy is

[tex]K_w = \frac{1}{2}mv^2=\frac{1}{2}(0.115 kg)(3.20 m/s)^2=0.589 J[/tex]

So the change in kinetic energy of the system is

[tex]\Delta K= K_f - K_i = (0.433 J+0.589 J)-0=1.022 J[/tex]

3. -5.693 J

The potential energy of the falling cart decreases by the following amount:

[tex]\Delta U = mg \Delta h[/tex]

where

m = 1.000 kg is the mass

g = 9.8 m/s^2

[tex]\Delta h = -0.521 m[/tex] is the change in height of the cart

Substituting, we find

[tex]\Delta U=(1.000 kg)(9.8 m/s^2)(-0.521 m)=-5.106 J[/tex]

the potential energy of the falling weight decreases by the following amount:

[tex]\Delta U = mg \Delta h[/tex]

where

m = 0.115 kg is the mass

g = 9.8 m/s^2

[tex]\Delta h = -0.521 m[/tex] is the change in height of the weight (calculated at point a)

Substituting, we find

[tex]\Delta U=(0.115 kg)(9.8 m/s^2)(-0.521 m)=-0.587 J[/tex]

So, the change in potential energy is

[tex]\Delta U = -5.106 J-0.587 J=-5.693 J[/tex]

4. +4.671 J

The change in thermal energy of the system due to friction is equal to the loss in mechanical energy of the system.

The system has gained a kinetic energy equal to

[tex]\Delta K=+1.022 J[/tex]

while it has lost a potential energy equal to

[tex]\Delta U =-5.693 J[/tex]

So the loss in mechanical energy of the system is

[tex]\Delta E=\Delta K+\Delta U=+1.022 J-5.693 J=-4.671 J[/tex]

So the change in termal energy is

[tex]\Delta E_{th} = -(\Delta E)=-(-4.671 J)=+4.671 J[/tex]

Plz Help A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.


A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.


The mass of an isotope of oxygen is 17.99161 u. It has 8 protons, 8 electrons, and 10 neutrons. What is its mass defect? Show all work.

Answers

Answer:

450 Bq, 0.15325u

Explanation:

Half life equation:

A = A₀ (½)^(t / T)

A = (7200 Bq) (½)^(22 min / 5.50 min)

A = 450 Bq

Mass defect is the difference between the sum of the proton and neutron masses and the isotope mass.

The mass of a proton is 1.007276u, and the mass of a neutron is 1.008665u.

So the mass defect is:

(8 × 1.007276u + 10 × 1.008665u) − 17.99161u

0.15325u

Many sophisticated cameras have zoom lenses. When you select the telephoto setting, the objects in front of you appear much closer. In this setting, (A) the focal length of the lens is shorter than normal. (B) the aperture of the lens is larger than normal. (C) the focal length of the lens is longer than normal. (D) the aperture of the lens is smaller than normal.

Answers

The amswer is a i think cuz it make semse

A constant eastward horizontal force of 70. newtons is applied to a 20.-kilogram crate moving toward the east on a level floor. If the frictional force on the crate has a magnitude of 10. newtons, what is the magnitude of the crate’s acceleration?

Answers

Answer:

[tex]3 m/s^2[/tex]

Explanation:

Newton's second law states that:

[tex]\sum F = ma[/tex]

where

[tex]\sum F[/tex] is the resultant of the forces acting on an object

m is the mass of the object

a is the acceleration

In this case we have two forces:

F = +70 N (east direction) is the horizontal push

Ff = -10 N (west direction) is the frictional force

so the net force is

[tex]\sum F=70 N - 10 N = 60 N[/tex]

We also know the mass of the crate

m = 20 kg

So we can find the acceleration

[tex]a=\frac{sum F}{m}=\frac{60 N}{20 kg}=3 m/s^2[/tex]

What type of simple machine is a catapult

Answers

Answer: A lever

The catapult is basically a type of simple lever or first class lever, which is a device used to transmit force and displacement to an object, by means of the amplification of the applied mechanical force, thus increasing its speed or distance traveled.

These simple levers are composed of a rigid bar that can rotate freely around a point of support (the fulcrum). However what differentiates them from the other levers is that the fulcrum is between the point where the effort must be applied and the point where the resistance  is.

With this configuration it is posssible to make several arrangements, depending on the purpose to be achieved, either control and decrease the speed and distance traveled by the object or increase it.

A catapult is a simple machine that functions largely as a lever, one of the classical types of simple machines that provides a mechanical advantage by altering force and distance.

A catapult is a simple machine that utilizes the principles of a lever to multiply the force applied to it. Simple machines are devices that can be used to multiply or augment a force that we apply. The catapult lever operates by converting stored energy into kinetic energy, effectively using the conservation of energy principle. When designing a  small catapult to try at home, you can use materials such as rubber bands, spoons, popsicle sticks, or small plastic containers to create a device that demonstrates this principle.

Simple machines like the lever, nail puller, wheelbarrow, and crank are designed to give us a mechanical advantage. This involves changing the magnitude or direction of forces, helping to perform tasks more easily by requiring less force over a greater distance. Catapults, in particular, allow a small input force to be converted into a much larger output force, launching projectiles over a distance.

answersWhich of the following best explains what happens when the kinetic energy of particles in a gas state decreases? (2 points) They vibrate so quickly that the particles ionize and become plasma. They vibrate so slowly that the particles are no longer held together, resulting in a plasma. They move fast enough to overcome the forces of attraction holding them together and become a liquid. They move more slowly, causing the forces of attraction holding them together to increase, resulting in a liquid.

Answers

Answer: They move more slowly, causing the forces of attraction holding them together to increase, resulting in a liquid.

Explanation:

The attraction overcomes the movement of particles, and bonds form.

When unequal resistors are connected in series across an ideal battery,the same power is dissipated in each one.the potential difference across each is the same.the current flowing in each is the same.the equivalent resistance of the circuit is less than that of the smallest resistor.the equivalent resistance of the circuit is equal to the average of all the resistances.

Answers

Answer:

the current flowing in each is the same.

Explanation:

When resistors are connected in series, they are connected in the same branch of the circuit - this means that the same current flows through each resistor.

The other options listed are wrong because:

the same power is dissipated in each one --> false: the power dissipated in each resistor is [tex]P=I^2 R[/tex], where I is the current and R the resistance, so it depends on the value of the resistance

the potential difference across each is the same.-- > false: this is true in parallel circuits, not series circuits

the equivalent resistance of the circuit is less than that of the smallest resistor.--> false: the equivalent resistance of a series circuit is the sum of the individual resistances: [tex]R = R_1 + R_2 + ...[/tex], so it is larger than the resistance of the smallest resistance

the equivalent resistance of the circuit is equal to the average of all the resistances. --> false: the equivalent resistance of a series circuit is the sum of the individual resistances: [tex]R = R_1 + R_2 + ...[/tex], not the average

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