if you're hiking in the mountains and find a cliff of granite which of these statements must be true?

A) the granite formed near the earths surface
B) the granite was uplifted or uncovered by erosion
C) the magma that formed it cooled relatively quickly
D) the granite contained continued very little feldspar and quartz

Answers

Answer 1
Granite is the most abundant volcanic rock in found at the crust of the Earth. Granite forms for the slow crystallization of magma deep bellow the surface of the Earth, so we can rule out statements A and C. Granite is composed primarily of feldspar and quartz, so we can rule out statement D as well. Since granite forms deep beneath the crust of the Earth, it is exposed in the surface thanks to tectonic processes and erosion.

We can conclude that the correct answer is B) the granite was uplifted or uncovered by erosion

Related Questions

A motorcycle traveling at 15 m/s accelerates at a constant rate of 4.0 m/s over a distance of 50 meters. What is the final velocity of the motorcycle

Answers

From equations of motion,

v^2 = u^2 + 2as ----- v = final velocity, u = initial velocity, a = acceleration, s = distance covered.

Using the vales given;

v^2 = 15^2 + 2*4*50 = 625
v = Sqrt (625) = 25 m/s

Cells often store materials like water, salts, proteins and carbohydrates in sac-like structures called
a.chloroplasts.
b.lysosomes.
c.mitochondria.
d.vacuoles.

Answers

The answer would be d.vacuoles.

Answer: Vacuoles

Explanation: Vacuoles are large bubble found in the cells. They are found both in plants and animals.

The vacuoles found in the animal cells are comparatively smaller as compared to plants.

They store food or any other variety of nutrients that the cell might need in order to survive. Those substances can be carbohydrates, protein, salts and proteins.

They can also store the waste materials of the cell.

The distance from the top of one sound wave to the top of the next sound wave is called

Answers

 the answer is wavelength
 

Determine whether the zero state is a stable equilibrium of the dynamical system

Answers

In general, the zero state of a dynamical system of the form xt+1=Axt
x
t
+
1
=
A
x
t
is a stable equilibrium when all of the eigenvalues of A
A
are inside the unit circle in the complex plane. So if you have an eigenvalue of the form a+bi
a
+
b
i
, you get stability when a2+b2<1
a
2
+
b
2
<
1
. Since this is a homework question, I'll let you work out the rest of the problem from here. (This isn't going to be equivalent to solving −1−30k‾‾‾‾‾‾‾‾‾√<8

1

30
k
<
8
, though.)

Electromagnetic waves are ____ waves consisting of changing electric and magnetic fields


Combing equal amounts of the three primary pigments produces ?

Answers

the first question is Transverse
and if you mix yellow, magenta, and cyan you get black 
Final answer:

Electromagnetic waves are transverse waves consisting of changing electric and magnetic fields, and combining primary pigments results in black or dark gray.

Explanation:

Electromagnetic waves are transverse waves that consist of changing electric and magnetic fields. These fields oscillate at right angles to each other and to the direction of wave propagation. The movements of these fields generate each other, and this interaction forms the electromagnetic wave.

The second part of your question, concerning pigments, seems a bit out of context as it deals with a subject in color theory, from the field of Art or Physics. However, I can tell you that combining equal amounts of the three primary pigments (cyan, yellow, and magenta) results in the production of black or a very dark gray.

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A block with mass m =7.4 kg is hung from a vertical spring. when the mass hangs in equilibrium, the spring stretches x = 0.23 m. while at this equilibrium position, the mass is then given an initial push downward at v = 3.9 m/s. the block oscillates on the spring without friction. 1 what is the spring constant of the spring?

Answers

From the spring equation;

k = -F/x, where k = spring constant, F = weight = mg = 7.4*9.81 = 72.594 N, x = spring displacement = 0.23 m

Substituting;
k = - 72.594/0.23 = -315.63 N/m

The negative sign shows that the force opposes spring constant.

A plane can fly 300 miles in the same time as it takes a car to go 150 miles. if the car travels 90 mph slower than the plane, find the speed of the plane.

Answers

150x2=300 90x2=180
the plane is travelling at 180mph

How can a series of synoptic weather maps be used to predict the future location of a low pressure center?

Answers

A series of synoptic weather maps help us to predict the future location of low-pressure systems by tracking the direction of the wind, the front locations, and the centers of high pressure, and also the location of the jet stream and how strong it is. The synoptic weather maps are used to acquire a complete photo of the place under surveillance. Along with computers, the maps are used to define a forecast. 

A train with mass 1000kg is moving at 15 m/s south. A second train engine with a mass of 500 kg is sitting at rest on the tracks ahead. What is the magnitude of the total momentum of the entire system? Assume that after the trains crash the first train comes to a stop at the point of the crash. How fast does the second train slide? Assume that after the crash the trains stick together and slide as one. How fast to they slide? Assume that after the crash the second train is sliding at 20 m/s south. What is the velocity of the first train?

Answers

So first we have to solve for the total momentum of the entire system. We can do this by solving momentum for the first train. The equation for momentum is p=mv, where "p" is momentum.

Total momentum is 

[tex]p=(1000kg)*(15m/s) = 15000(kg*m/s)[/tex]

When the first train comes to a complete stop, it is an elastic collision. We can use conservation of momentum to solve for the velocity of the second train.

[tex]15000(kg*m/s)=500v v=30m/s[/tex]

If they stick completely, then it is an inelastic collision. Here we have to combine the mass of the two trains and solve for the velocity.

[tex]15000(kg*m/s) = (1000+500)v v= 10m/s[/tex]

Finally, if the train is 20m/s then what is the velocity of the first train. Just like before, we can solve using conservation of momentum.

[tex]15000=(500kg)(20m/s)+1000v v=5m/s[/tex]

Trees in the mid-west change colors and lose their leaves in the cooler parts of the year.

What kinds of trees lose their leaves?

A)
deciduous


B)
evergreen


C)
nonvascular


D)
nonwoody

Answers

Deciduous
GIVE ME BRAINLIEST NOW
Deciduous the leaves turn diffrent colors

Light cannot escape the intense gravitational pull of a _____.

Answers

Black hole 
hope it helped

Light cannot escape the intense gravitational pull of a black hole.

What is a black hole?

A black hole is a region of space where gravity is so strong that nothing, not even light, can escape. Black holes are formed when massive stars collapse at the end of their lives. The force of gravity is so strong that even the light waves cannot escape the black hole's event horizon.

The event horizon is the boundary around a black hole from which nothing, not even light, can escape. The event horizon is a sphere of space-time around the black hole where the escape velocity is equal to the speed of light.

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What does the word “adverse” mean in the following sentence? Adverse reactions, such as fever and headache, can occur if the medication is not taken properly.
a. important
b. happy
c. tricky
d. unfavorable?

Answers

Answer: d. unfavorable

 

Explanation:

Here, the word adverse means unfavorable. This is because of the fact that if the medication is not taken properly it is likely to affect the health of the living being and may lead to the development of unfavorable symptoms or drastic health complications such as fever and headache.

Answer:

B

Explanation:

This answer is correct because, Robinson was 36 and starting to feel the effects of his age. In 1956 he did not dominate the league as much as he used to, partially because of the adverse effects of the diabetes he suffered from. It says he was not playing as well because of the negative effects of diabetes so the answer is B, to negatively prevent.

What is the approximate distance from the center of the milky way galaxy to the sun? select one:
a. 0 light years - the sun is at the center
b. 280 light years
c. 2,800 light years
d. 28,000 light years
e. 280,000 light years?

Answers

lkjuhygtfdszsdfghujikhgfdxcfghujiuhfdxsdcfghgfdddddddddddddddd

Knowing the constant g what will the gravitational force between two masses be if the gravitational force between them is 36n and the distance is tripled? answer

Answers

The gravitational force between two masses is given by:
[tex]F=G \frac{m_1 m_2}{r^2} [/tex]
where
G is the gravitational constant
m1 and m2 are the two masses
r is the separation between the two masses

We see that the force is proportional to the inverse of the square of the distance: [tex]F \sim \frac{1}{r^2} [/tex]
therefore, if the distance is tripled:
r'=3r
The force decreases by a factor 1/9:
[tex]F \sim \frac{1}{(3r)^2}= \frac{1}{9} \frac{1}{r^2} [/tex]

Since the original force was 36 N, the new force will be
[tex]F' = \frac{1}{9} (36 N)= 4 N [/tex]

Final answer:

The gravitational force between the two masses will be 4 N.

Explanation:

The gravitational force between two masses is given by the formula F = G * (M1 * M2) / R^2, where F is the force, G is the universal gravitational constant, M1 and M2 are the masses of the two bodies, and R is their separation. In this case, the force between the two masses is 36 N. If the distance between them is tripled, the new force can be found by calculating F' = G * (M1 * M2) / (3R)^2. Since R^2 is 9 times larger than (3R)^2, the new force will be 1/9 of the original force. Therefore, the gravitational force between the two masses will be 4 N.

Which statement is true about tomato juice? A) It is an acid. B) It has a pH of 7.0. Eliminate C) It is strongly basic in nature. D) It is a weak hydrophobic substance.

Answers

The answer would be A. It is an acid.

In which region of the electromagnetic spectrum is most of earth's outgoing terrestrial radiation?

Answers

The answer is Infrared.  The infrared of the electromagnetic spectrum is most of earth's outgoing terrestrial radiation.  Earth is the hot body with temperature of 30 degrees on the average.
Final answer:

Most of Earth's outgoing terrestrial radiation is in the infrared region of the electromagnetic spectrum, particularly around 11,000 nm. This infrared radiation is a key component of the Earth's energy budget and contributes to the greenhouse effect.

Explanation:

Most of Earth's outgoing terrestrial radiation is in the infrared region of the electromagnetic spectrum. The temperature of Earth's surface determines the wavelength and the intensity of the radiation it emits. Since the Earth's surface is cooler than the sun, its radiation peaks at longer wavelengths, specifically around 11,000 nm (nanometers), which falls within the infrared range. Approximately 99% of Earth's outgoing radiation is between 3,000 nm and 40,000 nm. It is important to note that while this radiation is invisible to the human eye, it plays a critical role in the Earth's energy budget and is key to the greenhouse effect. Gases such as water vapor, carbon dioxide, and methane absorb part of the Earth's radiation, which in turn warms the atmosphere.

How does lubricating a machine affect the output work from that machine? how would the input and output forces be affected?

Answers

lubricating a machine will make it more efficient and it will reduce the friction between the parts meaning that less energy will be transferred and dissipated into the surroundings as heat.
the in put and out put force may increase as it's easier for the machine to work due to less friction

By lubricating its components, a machine can operate more effectively and send less energy to the environment as heat by reducing friction between its parts.

Due to the machine's simplicity of use and less friction, the input and output forces might both increase.

What is lubrication?

To reduce wear and tear and friction in a contact between two surfaces, lubrication is a procedure or technique that uses a lubricant. The area of tribology includes the study of lubrication as a discipline.

Solid body interactions are decreased through the design of lubrication mechanisms, such as fluid-lubricated systems, which carry the given load either entirely or partially by hydrodynamic or hydrostatic pressure (and consequently friction and wear). Different lubrication regimes can be recognized depending on how far the surfaces have separated.

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The current through inductance L is given by I=I0e−t/τ
A.) Find an expression for the potential difference ΔVL across the inductor.
B.) Evaluate ΔVL at t=0s , if L=15mH , I0=36mA , and τ=1.1ms
C.) Evaluate ΔVL at t=1ms , if L=15mH , I0=36mA , and τ=1.1ms
D.) Evaluate ΔVL at t=2ms , if L=15mH , I0=36mA , and τ=1.1ms
E.) Evaluate ΔVL at t=3ms , if L=15mH , I0=36mA , and τ=1.1ms

Answers

Final answer:

The potential difference (voltage) across the inductor is given by VL = L*(dI/dt), which for this specific question evaluates to VL = -L*I0*(e^-t/τ) / τ. Applying the given values at different time intervals, we can find VL values at t=0s, t=1ms, t=2ms, and t=3ms.

Explanation:

The current through an inductor is given by I=I0e−t/τ. Let's answer your questions one by one:

A) The potential difference (voltage) across the inductor is given by VL = L*(dI/dt). For this particular problem, it would be VL = -L*I0*(e^-t/τ) / τ. This equation results from the fact that the rate of change of current through an inductor is related to the voltage across it.

B) At t=0s, VL would evaluate to -L*I0 / τ.

C) At t=1ms, VL would evaluate to -L*I0*(e^-1) / τ.

D) At t=2ms, VL would evaluate to -L*I0*(e^-2) / τ.

E) And finally, at t=3ms, VL would evaluate to -L*I0*(e^-3) / τ.

These calculations use the given constants L=15mH, I0=36mA, and τ=1.1ms.

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Final answer:

The potential difference across the inductor is given by the equation VL = -L*I0*e^(-t/τ)*(1/τ). Plugging in L=15mH, I0=36mA, and τ=1.1ms, evaluations for t=0, 1ms, 2ms, and 3ms yield -0.49V, -0.27V, -0.15V, and -0.08V respectively.

Explanation:

The potential difference across the inductor, ΔVL, can be determined by using Faraday's law which states that the EMF in a circuit is equal to the rate of change of magnetic flux. In this case, it corresponds to:

VL = L*(dI/dt) = L * d/dt [I0*e^(-t/τ)] = -L*I0*e^(-t/τ)*(1/τ)

From this equation, the potential difference can be evaluated at different times.

At t=0s: ΔVL = -L*I0*1/τ = - (15x10^-3)*(36x10^-3)/1.1x10^-3 = - 0.49 V At t=1ms: ΔVL = -L*I0*e^(-t/τ)*(1/τ) = - (15x10^-3)*(36x10^-3)*e^(-1/1.1)(1/1.1x10^-3) = -0.27 V At t=2ms: ΔVL = - (15x10^-3)*(36x10^-3)*e^(-2/1.1)(1/1.1x10^-3) = -0.15 V At t=3ms: ΔVL = - (15x10^-3)*(36x10^-3)*e^(-3/1.1)(1/1.1x10^-3) = -0.08 V

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A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. it falls 20 m to the water below. how far does the rock travel horizontally before striking the water, assuming negligible air resistance?

Answers

Before you begin, you need to first figure out what your problem gives you and what you need to look for.
Given:
vix=10m/s
dy= 20m

What you are looking for is horizontal distance or dx.

The formula for vertical distance is:
[tex]dx=vi_{x}t[/tex]

Where:
dx= horizontal distance
vix= initial horizontal velocity
t=time

But when you look at your problem, you do not have time. Now for time, you need to use the formula:

[tex]t= \sqrt{ \frac{2dy}{g} } [/tex]

g in this equation is a constant. It is the acceleration due to gravity which has the value of 9.8m/s^2.

Now we first need to get time:
[tex]t= \sqrt{ \frac{2dy}{g} } [/tex]
[tex]t= \sqrt{ \frac{2(20m}{9.8m/s^{2}} } [/tex]
[tex]t= \sqrt{ 4.08163265} [/tex]
[tex]t=2.02s [/tex]


Now that you have time, all you need to do is insert that into our equation for horizontal distance. 

[tex]dx=vi_{x}t[/tex]
[tex]dx=(10m/s)(2.02s)[/tex]
[tex]dx=20.20m[/tex]

The horizontal distance of the rock will be 20.20m.
Final answer:

The rock strikes the water after traveling approximately 20.3 meters horizontally. This is calculated using principles of physics related to projectile motion, with the separate vertical and horizontal movements taking place simultaneously and independently.

Explanation:

The physics problem you've described deals with the concept of projectile motion. In this scenario, the horizontal and vertical movements of the rock can be analyzed separately. The vertical displacement doesn't affect the horizontal one given the negligible air resistance.

First, let's find the time it takes for the rock to hit the water below. We can use the equation of motion, d = 0.5*g*t², where g is the acceleration due to gravity (9.8 m/s²), and d is the vertical displacement (20 m). Solving for t, we get approximately 2.03 seconds.

Then, to find the horizontal distance that the rock traveled, we use the formula for velocity (v = d/t), rearranged to solve for distance: d = v*t. Here, v is the initial velocity of the rock (10 m/s) and t is the previously calculated time (2.03 seconds). Completing the calculation, we find that the horizontal distance the rock travels before striking the water is approximately 20.3 meters.

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Temperature refers to the _____. A. amount of heat energy in an object B. arrangement of the atoms in matter C. average kinetic energy of the particles in a substance D. pressure exerted by atoms on anything that touches them

Answers

I believe A. is the answer. Temperature is the measure of heat, heat is considered to be the amount of vibration within an atom. Hot atoms will vibrate a lot, cooler atoms will no vibrate much. You can heat atoms up and cause them to break their bonds with other atoms and create liquids or gases. Hence, you can cool atoms and cause them to revert into a liquid from a gas, or solid from a liquid. 

In terms of speed, frequency, or wavelength, explain why when watching a baseball game you often see the batter swing before you hear the sound of the bat making contact with the ball.

Answers

In general, sound waves are longitudinal waves that need medium to move through, its speed varies from 300m/s to 346m/s. While visualizing the scene depends on the speed of light which is an electromagnetic waves that need no medium to move through and which have a speed of [tex]3*10^8m/s[/tex].
Light waves compared to sound waves have higher speed, higher energy, higher frequency, shorter wave length.
In general; the shorter the wave length, the higher the energy, the higher the speed, the higher the frequency.


Hope this helps.

a summer thunderstorm has begun! it’s raining. lighting cracks through air. a few seconds later you hear booms of thunder. why do you see the lighting before you hear the thunder?

Answers

Light travels faster than sound
Lightning comes before sound, other wise said, light travels faster than sound 

Hope this helps.


At a particular instant, a stationary observer on the ground sees a package falling with speed v1 at an angle to the vertical. to a pilot flying horizontally at constant speed relative to the ground, the package appears to be falling vertically with a speed v2 at that instant. what is the speed of the pilot relative to the ground?

Answers

Final answer:

When two velocities combine, to a ground observer, a package dropped from a plane falls at an angle, but to a pilot moving with the package, it appears to fall vertically. Using Pythagorean theorem, we calculate the speed of the pilot as √(v1^2 - v2^2).

Explanation:

This is a Physics problem that deals with relative velocities. We need to evaluate what is observed by two different observers stationed at different places. The first observer is stationary and they view the package at an angle with the speed v1. The second is a pilot who perceives the same package dropping vertically with the speed v2.

In this scenario, the package has two independent velocities, a horizontal one (which is the speed of the airplane), and a vertical one (which is the speed of the package falling down). To the observer on the ground (which is stationary), both these speeds combine, resulting in the package falling at an angle. But to the pilot, who moves with the package horizontally, only sees the vertical fall. Therefore, they perceive the package falling downwards with the speed v2.

Using the Pythagorean theorem for velocity addition for perpendicular components, we know that v1^2 = (speed of the pilot)^2 + v2^2. Therefore, using algebra, we find the speed of the pilot to be √(v1^2 - v2^2).

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What is the momentum of an object that is moving in a straight line at a speed of 10 m/s and has a mass of 10 kilograms?
A. 10 m/s
B. 100 kg-m/s
C. 100 m/s2

Answers

The momentum of an object is given by the product between its mass and its velocity:
[tex]p=mv[/tex]
where m is the mass and v the velocity.

For the object in our problem, m=10 kg and v=10 m/s, therefore its momentum is
[tex]p=mv=(10 kg)(10 m/s)=100 kg m/s[/tex]
So, the correct answer is B).

When you use a graduated cylinder in the lab, you can use it only to find the volume of liquids.

True or False?

Answers

False, you can't only use it to find the volume of liquids

The given statement is false.

Volume

At its most fundamental level, volume exists absolutely as a measure of space. When calculating the volume of a liquid, sometimes directed to as capacity, the units liters (L) and milliliters (mL) exist used. Devices used for this measurement include graduated cylinders, beakers, and Erlenmeyer flasks.

Graduated cylinders arrive in a range of sizes, or volume capacities, and much like a measuring cup, volume stands measured by adding liquid to the cylinder and corresponding the liquid level to the graduated scale. The measured volume compares to the volume of liquid contained in the cylinder.

The given statement is false. you can't only use it to find the volume of liquids.

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What is menat by the age of the universe? how old is the universe?

Answers

the universe is 13.8 billion years old.

No one is exactly sure. But its estimated to be 14 billion years old.

Calculate the number of moles of oxygen in a 12.5-l tank if the pressure is 25325 kpa and the temperature is 22°c

Answers

The ideal gas law states that:
[tex]pV=nRT[/tex]
where
p is the gas pressure
V is its volume
n is the number of moles
R is the gas constant
T is the absolute temperature of the gas

For the gas in our problem:
[tex]p=25325 kPa = 2.53 \cdot 10^4 kPa = 2.53 \cdot 10^7 Pa[/tex]
[tex]V=12.5 L = 12.5 \cdot 10^{-3} m^3[/tex]
[tex]T=22^{\circ}C = 295 K[/tex]

If we plug the data into the equation, we can find the number of moles of the gas:
[tex]n= \frac{pV}{RT}= \frac{(2.53 \cdot 10^7 Pa)(12.5 \cdot 10^{-3} m^3)}{(8.31 J/mol K)(295 K)}=129 mol [/tex]

Using the Ideal Gas Law (PV=nRT), we calculate that there are approximately 128.94 moles of oxygen in a 12.5 L tank at a pressure of 25325 kPa and a temperature of 22°C.

To calculate the number of moles of oxygen in a 12.5 L tank at a pressure of 25325 kPa and a temperature of 22°C, we use the Ideal Gas Law, which is given by:

PV = nRT

Here, P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, convert the temperature to Kelvin:

T = 22°C + 273.15 = 295.15 K

Next, convert the pressure to atm:

P = 25325 kPa × 0.00986923 atm/kPa ≈ 249.94 atm

Using the gas constant R = 0.0821 L·atm/(mol·K), we substitute the values into the Ideal Gas Law:

n = PV / RT = (249.94 atm × 12.5 L) / (0.0821 L·atm/(mol·K) × 295.15 K)

Solving this:

n ≈ (3124.25 atm·L) / (24.229215 mol·K)

n ≈ 128.94 moles

Therefore, under the given conditions, there are approximately 128.94 moles of oxygen in the tank.

As thunder travels away from a lightning channel, the amplitude (loudness) of the sound ____ by ____ as the distance from the channel doubles.

Answers

The sentence can be completed as follows:
"As thunder travels away from a lightning channel, the amplitude (loudness) of the sound DECREASES by A FACTOR 4 as the distance from the channel doubles."

In fact, the intensity of a sound wave follows an inverse square law: it means it is inversely proportional to the square of the distance, [tex]1/r^2[/tex], where r is the distance from the source. We see from the formula that, if we double the distance, the intensity gets a factor [tex]1/4[/tex], which means that the intensity decreases by a factor 4.
Final answer:

As a sound wave moves away from its source, its amplitude decreases due to an inverse square relationship, meaning it is divided by four as the distance doubles. The decrease is also due to energy spread over a larger area, absorption by objects, and conversion into thermal energy.

Explanation:

As thunder, which is a form of sound wave, travels away from a lightning channel, the amplitude (loudness) of the sound decreases by one-quarter as the distance from the channel doubles. This happens due to an inverse square relationship with distance from the source. Essentially, as the sound wave moves further away from its origin, the intensity declines because the energy of the wave is spread over a larger area.

Moreover, the amplitude of a sound wave decreases with distance from its source also due to factors like absorption by objects and conversion to thermal energy by the viscosity of air. Thus, the further away you are from the source of the sound, in this case, the lightning channel, the softer the thunder will sound.

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If the motor exerts a force of F = (600 + 2s2) N on the cable, determine the speed of the 100-kg crate when it rises to s = 15 m. The crate is initially at rest on the ground.

Answers

The motor that exerts force is F = 600+2s²
Mass of crate is m= 100kg
Distance raises is s= 15m
Crate at rest is V₁ =0
We will solve this using principle of energy and work because involves displacement, velocity, and force
Work energy is
T₁ +ΣU₁₋₂ = T₂
Whereby T₁ = initial Kinetic energy
= 1/2mw₁² = 1/2m(o)₁² = 0 Because initial is at rest.
Motor exerts the force on the cable forces acting in the cable at C are two times motor exerts force cable M work done by the exerted motor is
U₁₋₂ = 2∫s²Fds
U₁₋₂ = 2∫s²(600+2S²)ds
=2(600×s+ 2s³/3)¹⁵
= 2(600 ×15 + 2× 15³/3)
=22500N
Work done by crate is the crates' weight acts downward to take the negative sign
U₁₋₂ = -(m × g × s)
U₁₋₂ = -(100× 9.81 × 15)
= -14715N
T₂ = Final kinetic energy = 1/2mw²₂
T₁ +∑U₁₋₂ =T₂
0 + (22500 +(-14715)) = 1/2(100) V²₂
V₂ = 12.47m/s



Answer:

Speed of the 100 kg crate, v = 136 m/s

Explanation:

It is given that,

Force exerted by a motor, F = (600+2 s²) N

mass of the crate, m = 100 kg

We have to find the speed of the crate. Force is given by the product of mass and acceleration.

F = m a

g is acceleration due to gravity

[tex]F=m\dfrac{d^2s}{dt^2}[/tex]

[tex]\dfrac{d^2s}{dt^2}=\dfrac{600+2s^2}{100}[/tex]

[tex]\dfrac{d^2s}{dt^2}=6+0.02s^2[/tex]

[tex]\dfrac{d^2s}{dt^2}-6-0.02s^2=0[/tex]

or

s"- 6 - 0.02 s² = 0

On solving the above differential equation using calculator with when initially the crate is at rest s(0) = 0 and s'(0) = 15 m

[tex]s(t)=150\ e^{-\sqrt{2}t}+150\ e^{\sqrt{2}t}-300[/tex]

Differentiating above equation w.r.t t to get velocity of the crate.

So, v = 136 m/s

Hence, this is the required solution.

Which statement best compares the accelerations of two objects in free fall?

Answers

b.the object that has the greater surface area has the lower acceleration.

Hello. This question is incomplete. The full question is:

"Which statement best compares the accelerations of two objects in free fall?  1.The heavier object has a greater acceleration. 2.The object that has the greater surface area has the lower acceleration 3. The object that has the smaller mass has the greater acceleration 4.The objects have the same acceleration "

Answer:

The objects have the same acceleration.

Explanation:

The free fall movement was studied by the Italian physicist Galileo Galilei. According to his studies, Galileo showed that bodies in free fall, even those of different masses, would reach the ground at the same time, as they would be subject to the same acceleration. The free fall is, therefore, a movement described by the bodies, abandoned at a certain height, which happens exclusively by the effect of local gravity. In this type of movement, we disregard the effect of drag or friction forces.

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