A bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length script l and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use any variable or symbol stated above along with the following as necessary: g. Be sure to use script l from physPad.)
v =

Answer:

2.5 × 10-⁴¹ Ns

Explanation:

Impulse

I = F × t

I = 5000 N × 5 × 10-⁴⁵ s

I = 25 × 10-⁴² Ns

I = 2.5 × 10-⁴¹ Ns

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Answer:

Gravitational Potential Energy

Explanation:

Gravitational potential energy is energy an object possesses because of its position in a gravitational field  (Hyper Physics). The potential energy is the energy that is stored in an object due to its position relative to some zero position(Physics Classroom).

For a body held at a height (h), the gravitational potential energy is capable to do work once the object is released from the height (h)

Answer:

* he new moon phase when the position is       Sun - Moon - Earth,

* have of the Full Moon when the position is     Sun - Earth - Moon,

*All the phases of the moon are governed by the movement of the Moon around the Earth.

Explanation:

In the solar system, the planets revolve around the sun, which is much more massive, in the case of the Earth it is more massive than its satellite, therefore the Moon revolves around the Earth in a period of approximately 28 days.

It is said that the moon is in the new moon phase when the position is Sun - Moon - Earth, so the moon cannot be seen

It is in the phase of the Full Moon when the position is

                  Sun - Earth - Moon, in this case the moon can be observed by the light reflected from it.

All the phases of the moon are governed by the movement of the Moon around the Earth.

Answer:

uniformly accelerated motion

Explanation:

The motion of the body where the acceleration is constant is known as uniformly accelerated motion. The value of the acceleration does not change with the function of time.

Answer:

3.15 N towards the positive x-axis

Explanation:

first charge has charge q1 = 10 μC = 10 x 10^-6 C

second charge has charge q2 = 20 μC = 20 x 10^-6 C

third charge has charge q3 = -30 μC = -30 x 20^-6 C

According to coulomb's law, force between two charged particle is given as

F = \(\frac{-kQq}{r^2}\)

Where

F is the force between the charges

k is Coulomb's constant = 9 x 10^9 kg⋅m^3⋅s^−2⋅C^−2.

Q is the magnitude of one charge

q is the magnitude of the other charge

is the distance between these two charges

For the force on q2 due to q1,

distance r between them = 0 - (-1.0) = 1 m

F = \(\frac{-9*10^{9}*10*10^{-6}*20*10^{-6}}{1^2}\) = -1.8 N (the negative sign indicates a repulsion on q2 towards the positive  x-axis)

For the force on q2 due to q3,

distance between them = 2.0 - 0 = 2 m

F = \(\frac{-9*10^{9}*20*10^{-6}*(-30*10^{-6})}{2^2}\) = 1.35 N (the positive sign indicates an attraction on q2 towards the positive x-axis)

Resultant force on q2 = 1.8 N + 1.35 N = 3.15 N towards the positive x-axis

Refraction

The change in direction of a sound wave when it crosses between two mediums is refraction.

This hange in direction of the sound waves iis accompanied by a change in speed and the wavelength of the sound.

Therefore, when a sound wave moves at an angle from one medium into another in which its speed is different, the phenomenon is referred to as refraction.s

Answer:

10 and 5

Explanation:

Answer:

It is given that,

Force, F = 30 pounds = 133.4 N

Distance, d = 15 feet = 4.572 m

Time taken, t = 3 minutes = 180 seconds

Lucas's speed is given by the ratio of total displacement divided by total time taken. It is given by :

s = 0.0254 m/s

So, her speed is 0.0254 m/s.

Work done, W = F . d

W = 133.4 N × 4.572 m

W = 609.90 J

or

W = 610 J

Hence, this is the required solution.

Answer:

the branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.

Explanation:

The angular velocity to nearest degree per second, gives:

A) 21584°/s

B) 79217°/s

C) 215848°/s

D) 551180°/s

The formula to convert frequency (f) in Hertz (Hz) to angular velocity (ω) in radians per second is:

ω = 2πf

To convert the result to degrees per second, we can multiply by 180/π, which is the conversion factor between radians and degrees.

Using this formula, we get:

A) ω = 2π × 60 = 376.99 rad/s ≈ 21584°/s

B) ω = 2π × 220 = 1382.94 rad/s ≈ 79217°/s

C) ω = 2π × 600 = 3769.91 rad/s ≈ 215848°/s

D) ω = 2π × 1.53 × 10^3 = 9621.89 rad/s ≈ 551180°/s

Rounding these results to the nearest degree per second, we get:

A) 21584°/s

B) 79217°/s

C) 215848°/s

D) 551180°/s

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The majority of toasters are rudimentary devices that cannot determine whether your toast has been adequately toasted.

Let us first understand the purpose of the toaster.

A toaster is a cooking utensil used to toast items like bagels, crumpets, and sliced bread. Toast is the term for toasted bread. A standard toaster heats a bread slice using heat emitted from heated electric components.

For that let's first understand the name of wires in the toaster.

Most frequently, a toaster's heating element is made of thick nichrome wire. Nichrome wire carries electricity as with most wiring in any home. However, alternative wires are constructed from metals that are more effective electrical conductors. A wire that is hooked into the home's electricity source transmits electrical energy into the toaster.

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22.5 J

Explanation:

Given:

x = 3 m

\(k = 5\:\text{N/m}\)

The spring potential energy \(PE_s\) is

\(PE_s = \frac{1}{2}kx^2 = \frac{1}{2}(5\:\text{N/m})(3\:\text{m})^2\)

\(\:\:\:\:\:\:\:=22.5\:\text{J}\)

Answer:

i believe it would be C

Explanation:

Answer:

partecls

Explanation:

because they are to small to see with plain eyes

Answer:

add molecules

Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

The arrows are drawn in the figure which shows gravitational forces on each person on earth.

Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,

F∝ m₁.m₂

F ∝ 1/r²

F = G m₁,m₂÷r²

where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².

Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].

This is analogous with coulomb's law which gives force between two charges.

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Answer:

negative 1 charge

Explanation:

one electron is extra so there will be -1 chargw

If an atom has two protons and three electrons than the atom is negatively charged.

An atom is a matter particle that defines a chemical element uniquely. An atom is made up of a central nucleus and one or more negatively charged electrons.

The nucleus is positively charged and contains one or more protons and neutrons, which are relatively heavy particles.

It is made up of protons, which have a positive charge, and neutrons, which do not have any charge. Protons, neutrons, and the electrons that surround them are long-lived particles found in all natural atoms.

The modern atomic hypothesis was founded by John Dalton, a great chemist. His atom, on the other hand, was like a solid billiard ball.

An atom is negatively charged if it has two protons and three electrons.

Thus, the given atom bears negative charge.

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The heat loss from the object in 10 minutes is -0.26 * 10⁻⁹ J.

How can Heat loss from an object be calculated?

Heat loss can be calculated using this formula:

Q/t = oeA {(T₂)⁴ - (T₁)⁴}

It can be found that:

Q = heat loss in joules

t = time in seconds, 10 minutes = 600 seconds

σ = (5.67 x 10⁻8J/s . m² . K⁴)

e = emissivity, 0.9

A = surface area of 1.8 m²

T₂ = temperature of a room,  288 K

T₁ = temperature of an object, 329 K

To find Q which is heat loss,

where,

Q = oeA {(T₂)⁴ - (T₁)⁴}

Q = oeA {(T₂)⁴ - (T₁)⁴}(t)

Q = (5.67 x 10⁻8J/s . m² . K⁴) (0.9) (1.8) (288K⁴ - 329K⁴)(600)

Q = (5511.24){(288)⁴ - (329)⁴}

Q = (5511.24){(6879707136) - (11716114081)}

Q = (5511.24) (-4836406945) = -26652356.64

Q = -0.26 * 10⁻⁹ J

Therefore, the heat loss will be -0.26 * 10⁻⁹ J.

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Answer:

A. reduce the amount of soil by one-half and apply the same amount of force

Explanation:

Because of a widespread misunderstanding on the definition of the term "nothing" in this context, it is difficult for us to understand this concept. Usually, when we think of "nothing," we picture the interior of a shoe box. When we lift the lid and peer inside, nothing is there. Then, inside that box, something seems to arise miraculously out of nowhere.

When discussing the universe's beginnings, the term "nothing" refers to a situation in which there is no positive nor negative energy, meaning that there are no atoms of anything and there is also no heat or cold. However, there is still vitality in this specific emptiness (quantum energy). It is not a physical thing. It is possible for it to exist in physical form, but because every positive energy is exactly balanced by every negative energy, it cannot. Because there are no atoms to cause time to move and have meaning, time has no meaning. Because this condition only occurred before the creation of the universe, there is no term in common English that can adequately express it. Therefore, we use the next best descriptor, "nothing." (The term "neutral state" could be a preferable one.) (Unqualified Entrophy?)

There are several ideas explaining why this condition abruptly changed fourteen billion years ago to create our universe. It may have been random quantum fluctuations, according to some physicists.

Even at this point this might sound far fetched, but physicists claim to have detected and even created these fluctuations.

It's possible that these fluctuations have always been present, but it wasn't until they coincidentally aligned that a powerful enough force emerged to produce a minute imbalance between positive and negative energy. This cascade reaction then grew and grew until eventually there was enough positive energy to take on a physical form, and the early universe appeared as a dense ball of energy (hydrogen plasma) that initially expanded, then eventually contracted. We refer to the event as "The Big Bang." It goes beyond mere theory. The motion of galaxies and background cosmic radiation are examples of empirical evidence that it did happen.

The Big Bang's newly formed atoms would ultimately combine to form the two basic elements, hydrogen and helium. These two elements then condensed to form stars, which in turn produced denser atoms through processes like stellar death. Everything in the cosmos, from the galaxies to you and me, was eventually created by the many sorts of atoms combining in numerous wondrous ways.

So as you can see, everything really did come from nothing.

….but, a number of people have asked, where did the quantum energy come from?

Science hasn't found a solution for that one yet.

Steven Hawking once said:

If we do discover a theory of everything… it would be the ultimate triumph of human reason — for then we would truly know the mind of God.

One explanation is that the quantum universe has no origin; it has existed and will continue to exist indefinitely, representing a real understanding of infinite. Given that everything we encounter in life has a start and an end, the idea of infinity has always been challenging to understand. That there is a deity and that God created the quantum universe is still another possibility. When everything is said and done, it's conceivable that we won't be able to find any more scientific evidence and will just be left with our views.

Thank you,

Eddie

Answer:

ωf = 2.95 rad/sec

Explanation:

       \(L = I * \omega (1)\)

       \(L_{o} = L_{f} (2)\)

        \(L_{o} = I_{o} * \omega_{o} = \frac{1}{2}* M* R^{2}* \omega_{o} =\\ \frac{1}{2} * 77.0 kg* (2.70m)^{2}* 7.40 rad/sec = 2076.92 kg*m2*rad/sec (3)\)

       \(I_{f} = I_{o} +( m_{p} * R^{2}) = (\frac{1}{2} * M* R^{2}) + ( m_{p} * R^{2}) =\\ (\frac{1}{2} * 77.0 kg* (2.70m)^{2}) +( 58.0 kg * (2.70m)^{2}) = \\ 280.67 kg*m2 + 422.82 kg*m2 = \\ 703.49 kg*m2 (4)\)

        \(L_{f} = I_{f} * \omega_{f} (5)\)

       \(\omega_{f} = \frac{L_{o} }{I_{f}} = \frac{2076.92kg*m2*rad/sec}{703.49kg*m2} = 2.95 rad/sec (6)\)

The reflection law allows us to find that the correct statement for  where a ray is located in a concave mirror is:

Geometric optics studies the geometric properties of light rays by surfaces. It has two laws that describe it:

                     \(\theta_i = \theta_r\)

Now we can analyze the expressions.

a) False. This only happens if the object is at infinity

b) True. This is the law of reflection that the angles are equal and it always complies

c) False the optical axis is a perpedicular line to the mirror, therefore the ray must be parallel to the mirror and is not reflected.

In conclusion using the reflection law we can find which statement is correct

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Answer:

Iron deficiency

Explanation:

or more scientifically explained as decreased hemoglobin levels in your blood but still caused by lack of iron.

Here according to the momentum of both balls before and after collision is constant. Therefore, the angle of bouncing after collision will be   20.77°.

The momentum of an object is the product of its mass and velocity. During collision between two objects, the total momentum is conserved .

Given, mass of cue ball = 0.6 kg

velocity = 2 m/s

initial momentum of the eight balls is zero since they were at rest.

then total initial momentum = 0.6 kg × 2 m/s = 1.2 kg m/s.

Final velocity of both balls = 0.8 m/s

then,

1.2 kg m/s = (0.8 m/s cos 20 × 0.6 kg ) + (0.8 m/s cos θ × 0.6 kg )

(0.8 m/s cos θ × 0.6 kg )  = 0.449 kg m/s

cos θ = 0.935

then θ = 20.77°.

Therefore, the angle at which the eight ball travel after collision is 20.77°.

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Answer:

hope it helps.