a balloon is expanded to the same volume as that of a human head. Do an order-of-magnitude estimate of the volume of this balloon in cm^3


a. 100cm^3

b. 1,000,000cm^3

c. 10cm^3

d. 1,000cm^3

Formula

Power = I^2 * R

Givens

R =  18 ohms

I = 0.1 amperes.

Solution

P = 0.1^2 * 18

P = 0.01 * 18

P = 0.18 watts.

D <<<< Answer

P=RI²=18*0,1²=18*0,01=0,18 W

The background radiation is associated with a temperature of about 2.73 Kelvins (not Celsius). There is no particular reason for it to be at this specific value. This temperature is a snapshot of an ongoing process taken at our point in time. This temperature continues to change from where it used to be - many orders of magnitude higher in the early stages of our universe model - to today's measured value. The expanding universe view implies this temperature continues to decline as the universe expands, as you pointed out. It is just happening on an extremely slow time scale that we consider this value to be a constant.

The Cosmic Microwave Background (CMB) has a temperature of 2.7K due to the cooling of the universe as it expanded since the Big Bang. Initially hot and dense, the universe became transparent around 380,000 years after the Big Bang, allowing this radiation to travel through space. The CMB is a key piece of evidence for the Big Bang theory.

Cosmic microwave background (CMB)

The reason the background radiation in the universe has a temperature of about 2.7K, which is roughly 3ºC above absolute zero, is deeply connected to the events following the Big Bang. Cosmic Microwave Background (CMB) radiation is the afterglow of the Big Bang, produced when the universe was still young, hot, and dense. Over the last 13.8 billion years, as the universe expanded, this radiation cooled down.

Initially, the universe was opaque because photons were constantly colliding with electrons. However, about 380,000 years after the Big Bang, the temperature dropped to approximately 3000K, allowing electrons to combine with protons to form neutral hydrogen atoms, making the universe transparent to radiation. This period is called the recombination era.  The CMB we observe today is the residual electromagnetic radiation from this era.

The universe has expanded significantly since then, stretching the wavelengths of these photons and decreasing their energy, which has cooled the radiation to its current temperature of about 2.7K. This cooling is expected in an expanding universe, as predicted by the Big Bang theory. Thus, the observed temperature of the CMB provides strong evidence supporting the Big Bang theory.

That would be a balanced force because the forces cancel each other out.

When the forces acting on an object are equal and opposite, leading to a net force of zero, this is called balanced forces. An object under balanced forces will maintain its current state of motion, according to Newton's First Law of Motion.

When all the forces acting on an object are equal and opposite, this condition is described as balanced forces

In a scenario with balanced forces, the net force acting on the object is zero, meaning that the object will not change its state of motion - it will either remain at rest, or continue moving at a constant speed in a straight line. This is due to Newton's First Law of Motion, also known as the Law of Inertia.

For example, if you're pulling a sled with a force of 50 Newtons to the right, and a friend is pulling with a force of 50 Newtons to the left, the total or net force on the sled is zero. These are balanced forces, and the sled will not move from its spot.

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The letter most often used to represent electric current is ' I ' or ' i '.

The unit of electrical current is the Ampere, often abbreviated as ' A. ' .

Gravitational force is given as

[tex]F = \frac{Gm_1m_2}{r^2}[/tex]

so here gravitational force will be given by above formula where the force between two objects depends on the mass of two objects and distance between them.

Now here since the tool is at finite distance from Astronaut and Moon, Sun, Earth

So all the above will exert gravitational force on the tool but the magnitude of force will be different as all of the above are of different masses and situated at different distance.

So all options are correct here

The Astronaut

The Moon

The Sun

The Earth

Answer:

All of them are correct

Explanation:

They are all correct select all

Final answer:

Transuranium elements are created by bombarding target nuclei with particles like neutrons, resulting in new, heavier elements not found in nature.

Explanation:

Transuranium elements are made in a lab by the artificial transmutation of lighter elements. This process involves bombarding target nuclei with particles, such as neutrons or other atomic nuclei. During the bombardment, the target nuclei capture the incoming particles, which leads to the formation of a heavier element that did not previously exist naturally.

For example, the first transuranium element, neptunium (Z = 93), was synthesized by bombarding uranium-238 with neutrons. This creates uranium-239, which undergoes beta decay to form neptunium-239. Similar methods are used to create other transuranium elements, with the most advanced involving collisions with more massive nuclei to create superheavy elements like element 114 and element 116.

A couple of things, if the shuttle burned all of it's fuel before entering Earth's atmosphere then that means that the shuttle was accelerating towards Earth until it ran out of fuel.  At that point, there is little to no air resistance (friction) by the lack of an atmosphere so it keeps accelerating  due to Earth's gravitational force.  The closer the shuttle gets to Earth the stronger the gravitational pull the shuttle experiences.  Note that, once the shuttle reaches Earth's atmosphere it will cause significant amount of friction and thus will cause the shuttle to slow down.

A) Earth's atmosphere  

B) initial thrust of take-off  

C) angle of approach upon landing  

D) gravitational potential energy

It would be D. Gravitational potential energy As the shuttle prepares to return to Earth it reduces its speed so that gravity pulls it out of its orbit and toward Earth. As it approaches the earth the gravitational potential energy is converted to kinetic energy. The drag of Earth's atmosphere slows the shuttle's descent and causes some kinetic energy to convert to heat energy.

k = spring constant of the spring = 100 N/m

m = mass hanging from the spring = 0.71 kg

T = Time period of the spring's motion = ?

Time period of the oscillations of the mass hanging is given as

T = (2π) √(m/k)

inserting the values in the above equation

T = (2 x 3.14) √(0.71 kg/100 N/m)

T = (6.28) √(0.0071 sec²)

T = (6.28) (0.084) sec

T = 0.53 sec

hence the correct choice is D) 0.53

Answer:  D

Given data:

The electric field due to charge q₁  is (E₁) = 1.5 × 10⁵ N/C

The electric field due to charge q₂ is (E₂) = 7.2 × 10⁵ N/C

Determine the net electric field at point P (Enet) = ?

electric field measured in Newtons/coulomb

We know that,

        The net electric field (Enet) is vector sum of E₁ and E₂ caused by the charge q₁ and q₂ respectively

             Enet = E₁ + E₂

                       = (1.5 × 10⁵)+ (7.2 × 10⁵)

                       = 8.7 × 10⁵ Newtons/coulomb

The net electric field at point P is  8.7 × 10⁵ N/C

Answer:

D. 8.7 × 105 newtons/coulomb

Explanation:

Final answer:

In mathematics, when y decreases as x increases, they have an inverse relationship, which is a type of negative correlation where variables move in opposite directions.

Explanation:

If y gets smaller as x gets bigger, y and x have an inverse relationship. In an inverse relationship, when one variable increases, the other variable decreases. An example of this is the equation y = k/x, where k is a constant number. This illustrates that as x gets larger, y gets smaller, assuming k is a positive value. Conversely, as x becomes smaller, y becomes larger, which is often described as y being inversely proportional to x. An inverse relationship is a specific type of negative correlation where the two variables move in opposite directions.

It should not be confused with a positive correlation, where both variables change in the same direction, either both increasing or both decreasing. A positive value of r, the correlation coefficient, indicates a positive correlation, signifying that as x increases, y also tends to increase. Conversely, a negative value of r would suggest an inverse relationship.

An important aspect to consider is the rate of change in non-linear relationships, where the size of the change in x affects the measured change in y. This is different from linear relationships, where equal increments in x result in consistent changes in y. Therefore, for inverse relationships, large changes in x can result in rapidly diminishing values of y as x propagates towards infinity.

Answer: option D) 42.4 N

The weight of the frame is balanced by the vertical component of tension.

W = T sin θ + T sin θ = 2 T sin θ

The tension in each cable is T = 30 N

Angle made by the cables with the horizontal, θ = 45°

⇒ W = 2×30 N × sin 45° = 2 × 30 N × 0.707 = 42.4 N

Hence, the weight of the frame is 42.4 N. Correct option is D.

Well sorry to hear about your potato head Netflix watching "teacher".  But here we go! For part (a) we have:

(a)

m=0.3kg,  F=201 N, [tex]\Delta x=-1.30[/tex] this is negative because our if we think of an undrawn bow as a zero, pulling it back 1.30 meters means -1.30 meters.  First we will solve for the acceleration by using F=ma and so:

[tex]F=ma\\\\a=\frac{F}{m}=\frac{201N}{0.3kg}=670m/s^2[/tex]

Next we will use the following kinematic equation to solve for our initial velocity, note that our final velocity is zero since eventually it will stop and so:

[tex]v_{final}^2=v_{initial}^2+2ad[/tex]

where a is acceleration, and d is distance our bow was drawn and so:

[tex]0=v_{initial}^2+2(670)(-1.30)\\\\1742=v_{initial}^2\\\\\sqrt{1741}=v_{initial}\\41.74m/s=v_{initial}[/tex]

So the arrow leaves the bow at approximately 41.74 m/s (that's about 91.71 miles per hour ouch).

(a) Initial velocity = 41.74 m/s

(b)

Next If the arrow is shot an arrow straight up we have to worry about gravity (g = -9.8 m/s^2) "pushing" the arrow down as your arrow goes up higher and higher (ignoring air resistance) we have:

[tex]v_{final}=v_{initial}+at\\\\[/tex]

Note that the final velocity in this system is zero, at that point the arrow will come right down since it has no more velocity upwards therefore we have:

[tex]0=41.74+(-9.8)t[/tex]

[tex]0-41.74=41.74-41.74+(-9.8)t\\\\-41.74=-9.8t\\\\[/tex]

[tex]\frac{-41.74}{-9.8}=\frac{-9.8t}{-9.8}  \\\\4.26=t[/tex]

Therefore it will take 4.26 seconds for the arrow to stop and return back down, meaning that the arrow will reach it's max height at that time.  Finally we can figure out what that height is by using another kinematic equation:

[tex]h=v_{initial}t+\frac{1}{2}gt^2[/tex]

Where g=-9.8, initial velocity=41.74 m/s and t=4.26 seconds and so:

[tex]h=(41.74)(4.26)+\frac{1}{2}(-9.8)(4.26)^2\\\\h=88.89m[/tex]

So the arrow will reach a max height of 88.89 meters (about 292 ft).

(b) 88.89 meters

Torque [Nm] = Force [N] x Force arm [m]

C=F*b=20*0.20=4 Nm

The correct answer is C

1. Graph G shows constant speed.

2. C is constant speed and A is deceleration. So the answer is B and D only.

3. AB distance is same so car is not traveling. CD car is at constant speed. DE car is decelerating. So the answer is Line segment BC is showing acceleration as the cart is increasing its speed.

4. Yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.

(1) At constant speed, the change in distance per time is constant, Graphs G represents constant speed

(2) graph B and D represents constant acceleration.

(3) The increase in speed over time indicates acceleration as the line has a straight increasing slope.

(4) yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.

(1)

At constant speed, the change in distance per time is constant.

Graphs G represents constant speed

(2)

Constant acceleration occurs when the change in velocity is uniform over equal time interval.

graph A represents constant deceleration

graph B and D represents constant acceleration

(3)

The line segment CD represents increase in speed over time. The increase in speed over time indicates acceleration as the line has a straight increasing slope.

(4)

From the fourth graph, the object started at constant rate, slows down, stops and finally speeds up.

Thus, we can conclude that, yes, the object moves (1) at a steady rate (2) slows down (3) stops and then rolls back, speeding up.

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A freely falling object gains about 10 m/s each second due to the acceleration of gravity. After 10 seconds, its speed would be 100 m/s, making the correct answer C) 100 m/s.

The given question specifically motion under gravity without considering air resistance.

When an object is freely falling under the influence of gravity, its velocity increases by about 9.8 m/s (approximately 10 m/s for simplification) each second, which is the acceleration due to gravity (g).

In the context of this question, after 10 seconds of free fall starting from rest, the object's speed would be -

= 10 m/s x 10 seconds

= 100 m/s.

Therefore, the correct answer is C) 100 m/s.

Answer:

(D) 42.4N

Explanation:

Since the frame is at rest, the net force acting on it must be 0. There are three forces acting on it: the gravity and the opposing forces of the two cables.

Since the gravity is a vertical force, we are only interested in the vertical components of the remaining forces. The net force equation is

F_net = 0 = F_g -2 * F_y

The vertical force of one cable (using the information in the drawing) is:

F_y = 30N * sin 45 deg = 21.21N

Now the weight can be determined:

0 = F_g - 2 * F_y

F_g= 2 * F_y = 2 * 21.21N = 42.4N

The weight of the frame is about 42.4N.

Vector:T₁+T₂+F=0 , you put the vectors where you need, on the site I'm not going to put them

We design the relationship on the vertical axis Oy:

T₁sinα+T₂sinα=0

T₁=T₂=>2Tsinα=0

We design the relationship on the horizontal axis Ox :

2Tcosα-F=0=>F=2Tcosα=2*30*√2/2=30√2=42.4 N

The right answer is D

Sound waves are not able to travel in a vacuum, sound requires a medium such as air or a solid for example.  Satellites are indeed in space, but radio waves are not sound waves they are a form of light.  Light can travel in a vacuum so the messages that satellites beam back to Earth are light waves not sound waves, that is why it is possible.

Answer:

Waves that move through matter only are called  

mechanical

waves. Waves that move through space are called  

electromagnetic

waves.

Explanation:

the correct answer is Equal in measure because The law of reflection states that the incident ray, the reflected ray, and the normal to the surface of the mirror all lie in the same plane.

The planets gravitational force brought together several moon-sized bodies, called planetesimals, to form larger bodies that became planets.

The force of gravity is directly proportional the mass of an object.

F = mg

where;

g is acceleration due to gravity

m is the mass of the object

The force of gravity on objects increases with increase in the mass of the object. The effect of gravitational pull increases with increase in the mass of object.

During the formation of the planets, as smaller masses are brought together, with time the masses become bigger due to strong effect of gravity.

Thus, the planets gravitational force brought together several moon-sized bodies, called planetesimals, to form larger bodies that became planets.

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The scale measures weight because it shows the object's force due to gravity, which varies between Earth (100) and the Moon (16.6).

The scale depicted in the picture is measuring weight not mass. Weight is the force exerted on an object due to gravity. It depends on both the mass of the object and the strength of the gravitational field it's in. In this case, the object is being weighed both on Earth and the Moon, two celestial bodies with different gravitational strengths.

On Earth, the object registers a weight of 100 units, reflecting the gravitational pull of Earth's stronger gravity. On the Moon, the object's weight is significantly less, measuring 16.6 units. This variation demonstrates that weight changes depending on the local gravitational field, while an object's mass remains constant regardless of its location.

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Mechanical advantage is given by formula

[tex]MA = \frac{F_{out}}{F_{in}}[/tex]

here we know that for torque balance in pulley system we have

[tex]F_{out}\times r_1 = F_{in}\times r_2[/tex]

[tex]MA = \frac{r_2}{r_1}[/tex]

for W

[tex]MA = \frac{12}{4} = 3[/tex]

for X

[tex]MA = \frac{36}{9} = 4[/tex]

For Y

[tex]MA = \frac{18}{3} = 6[/tex]

For Z

[tex]MA = \frac{16}{8} = 2[/tex]

so least to greatest order will be

Z < W < X < Y

so correct answer is

B- Z, W, X, Y

Answer:

b

Explanation:

Density can be calculated by:

[tex]D=\frac{M}{V}[/tex]

where D is the density, M is the mass, and V is the volume.  In this case we have m = 360g, V=7.5 cm^3  by plugging in these values we have:

[tex]D=\frac{360g}{7.5cm^3} =48\frac{g}{cm^3}[/tex]

C.) 480 g/cm^3

Pro-tip: Look at the units, they sometimes tell you what to do.  In this case all of your answers have grams over cm^3 this means grams divided by cm^3.  Even if you do not know the equation you can infer what it is by knowing what units you have vs. what units you should end up with.

The density of a substance is found by dividing its mass by its volume. For a substance with a mass of 360 g and a volume of 7.5  cm3, the density is 48 g/cm3. So, the correct answer is (d) 48 g/cm3.

The density of a substance is calculated by dividing its mass by its volume. In this case, the substance has a mass of 360 g and a volume of 7.5 cm3. Therefore, the density would be calculated as follows: Density = Mass/volume = 360 g / 7.5 cm3 = 48 g/cm3. So, the correct answer from the provided multiple choices would be option (d) 48 g/cm3

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