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

Answer 1
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 2

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.


Related Questions

What linear speed must an earth satellite have to be in a circular orbit at an altitude of 159 km?

Answers

Gravitational acceleration, g = GM/r^2. Additionally, for a satellite in a circular orbit, g = v^2/r

Where, G = Gravitational constant, M = Mass of earth, r = distance from the center of the earth to the satellite, v = linear speed of the satellite.

Equating the two expressions;
v^2/r = GM/r^2
v = Sqrt (GM/r);
But GM = Constant = 398600.5 km^3/sec^2
r = Altitude+Radius of the earth = 159+6371 = 6530 km

Substituting;
v = Sqrt (398600.5/6530) = 7.81 km/sec = 781 m/s

Can anyone please help me with answering this question? : An accelerating (speeding up) body has a Net Force acting in the direction of motion. True or False? Why? ​

Answers

That's true.

Netwon's second law states that the resultant of the forces F acting on a body is equal to the product between its mass m and its acceleration a:
[tex]\sum F = ma[/tex]
This means that if the net force acting on an object is different from zero (term on the left), than the acceleration of the object (term on the right) must be different from zero as well, and therefore the body is accelerating.

In particular, both F and a in the equation are vectors: this means that if the acceleration is positive, F and a have the same direction. In this problem, the acceleration is positive (because the object is speeding up), therefore the force and the acceleration have same direction.

Mosses are located in which zone of deciduous forests?

a. tree stratum

b. ground

c. shrub

d. herb

Answers

Its B- Ground, just took the test

Answer;

Ground

Explanation;Mosses are located in the ground zone of the deciduous forests.Deciduous forests is a biome that has a soil that is rich and the leaves are dropped from the trees to provide a source of organic matter for the soil.Mosses plants are types of plants which belongs to the bryophyta group of plants. They lack roots and are evergreen plants that grow in a wide range of environments but are commonly found covering the ground, along the stream beds, and also at the bases of the trees in deciduous forests.

You throw a water balloon straight up with a velocity of 12 m/s. What is its maximum height?

Answers

Considering that the earth's gravitational pull of 9.8 m/s is applied, and there are no other outside forces, then the maximum height would be 2.2 meters.

This is found by subtracting the earth's gravitational pull from the velocity in which you threw the object.

A current of 1.8 A delivers 2.5 C of charge. How much time was required?
A.0.70 S
B.0.72 S
C.1.4 S
D..5 S

Answers

The current is defined as the amount of charge that flows through a given point in a certain time interval:
[tex]I= \frac{Q}{\Delta t} [/tex]
where Q is the charge and [tex]\Delta t[/tex] the time interval.

In our problem, I=1.8 A and Q=2.5 C, therefore we can find the time interval by re-arranging the previous formula and plugging these numbers into it:
[tex]\Delta t= \frac{Q}{I}= \frac{2.5 C}{1.8 A}=1.4 s [/tex]

Therefore, C) is the correct answer.

Answer: C

Explanation:

((Psychology))According to Sternberg, consummate love includes:

A. attraction and low commitment.
B. intimacy, commitment, and passion.
C. passion, romance, and little responsibility.
D. passion and high commitment.

Answers

According to Sternberg, consummate love includes:

This is the answer:

B. intimacy, commitment, and passion

These three are the components of love in Sternberg's Triangular Theory of Love.

Hope this helps.

Answer:

The correct answer is B. According to Sternberg, consummate love includes intimacy, commitment, and passion.

Explanation:

The triangular love theory of the American psychologist Robert Sternberg characterizes love in an interpersonal relationship according to three different components, which are intimacy, passion and commitment:

-Intimacy, understood as those feelings within a relationship that promote the approach, the link, the connection and mainly the self-revelation. Or in other words, the affection towards another person that arises from feelings of closeness, affective bond and relationship, implies the desire to give, to receive, to share, and so on.

-Passion, as a state of intense desire for union with the other, as an expression of desires and needs, great sexual or romantic desire accompanied by psychological excitement.

-Commitment, the decision to love another person and the commitment to maintain that love. This component implies maintaining the relationship in good times and bad times

All the colors of visible light can combine to form white light.
a. True
b. False

Answers

Yes, it's true. You can see that it is true when you go outside during a summer rain and see a rainbow. That occurs when the the water acts like a lens and separates the light into its component colors. If you have gotten this far in your studies, the index of refraction through water is different for each color which is the way to explain the different colors of the rainbow.

Which of the following helps explain why the planets remain in motion around the sun?

A. density
B. gravity
C. inertia
D. both gravity and inertia

Answers

Um I think it is D both gravity and inertia. Hope this helped
D is the answer hope helps

Explain why cooler stars are red and hotter stars are blue

Answers

More cool stars produce much of their light in the red part of the spectrum, so you see them, and bam, the color red. More hot stars, however, produce much more of their light in the green and or yellow spectrums, with much more tinier amounts of red / blue. This balance of the colors, your eye, sees simply as white. The more hot something is, the greater frequency of radiation it produces! Blue light has a higher frequency than red light, so the stars that glow red are cooler, than the stars that glow blue. :)

Hope this helped!

A plane traveling at a constant speed is able to travel 600 miles in 5 hours. how fast was the plane flying?

Answers

600 ÷5 = 120mph
120mph

What is the speed of sound in air at 40°C? 355 m/s 307 m/s 331 m/s 239 m/s

Answers

The ans is A. 355 m/s as temperature is above stp
Speed of sound is dependent on air temperature n goes up as it gets warm.

At 40°C, it is 355 m/s

Is true that the earth's crust is made up of many tectonic plates?

Answers

Yes, it is true. In the 20th century, researchers realized that the Earth's crust is not one piece, but is made up of many huge tectonic plates upon which the continents ride.

For the Doppler effect to occur ?

Answers

change of pitch that occurs due to a moving sound source

8. A thin slice of silicon that contains many solid-state components is a(n)
A) Transistor
B) Intergratef circuit
C) Diode
D) Cathode-ray tube

9. A current of 6.0 amps passed through a motor that has a resistance of 5.0 ohms. Clacukate the power
A) 30 watts
B) 150 watts
C) 180 watts
D) 900 watts

If you have the answers to the Electricity and Magnetism Unit Test I'd really appreciate all of them, I have less than an hour to finish this, yikes.

Answers

Final answer:

Answer to Question 8 is B) Integrated circuit. Answer to Question 9 is C) 180 watts, calculated using the power formula P = IV where I is current and V is voltage determined by Ohm's law.

Explanation:

Solution for Question 8:

A thin slice of silicon that contains many solid-state components and is referred to in the question is known as a(n) Integrated Circuit (IC). This is because an integrated circuit consists of numerous semiconductor devices like transistors, diodes, and resistors that are fabricated onto a single piece of semiconductor material, typically silicon. Therefore, the correct answer is B) Integrated circuit.

Solution for Question 9:

To calculate the power consumed by a motor when a current of 6.0 amps passes through it and it has a resistance of 5.0 ohms, we use the formula for electrical power, P = IV (Power = Current × Voltage). Since we know the current (I) and the resistance (R), we first need to find the voltage (V) using Ohm's law, V = IR (Voltage = Current × Resistance). Plugging in the values, we get V = 6.0 A × 5.0 Ω = 30.0 V. Now we can calculate the power, P = 6.0 A × 30.0 V = 180 watts. Thus, the correct answer is C) 180 watts.

Nanotechnology and microtechnology devices are both very tiny. However, one property of nanotechnology distinguishes it from microtechnology. What is this unique property?

Answers

Nanotechnology deals with atomic, or rather molecular scales, as opposed to micro-technology which deals with mechanical and electrical devices. In addition, nanoscale is one-third of microscale.
The unique property of it is that nanotechnology deals with atomic, or rather molecular scales, as opposed to micro-technology which deals with mechanical and electrical devices. In addition, nanoscale is one-third of microscale. It deals with the very small and tiny particles that our naked eye cannot see.

Which of these is true for the two poles of a magnet?
Question 1 options:

Like poles repel each other.

Unlike poles attract each other.

Like poles attract each other.Unlike poles attract each other.

Like poles attract each other.Unlike poles repel each other.

Like poles repel each other. Unlike poles repel each other.

Question 2 (1 point)
If you rubbed two balloons with a wool cloth and held them close together, what do you think would happen?
Question 2 options:

They would repel one another because they would have positive charges.

They would repel one another because they would both have a negative charge.

They would attract one another because they would both have a negative charge.

They would attract one another because they would have opposite charges.

Question 3 (1 point)
An object has

Answers

1. is A and B
Not sure about the other one

Question 1:

Answer:

Like poles repel each other. Unlike poles attract each other.

Explanation:

In a magnet their are two poles which are north pole and south pole. Like pole repel each other and unlike pole attracts each other because magnetic lines of force originate from north pole and terminate on the south pole.

Question 2:

Answer:

They would repel one another because they would both have a negative charge.

Explanation:

When balloon is rubbed with wool cloth electrons are transferred from wool to balloon. Thus, balloon acquire negative charge and wool becomes positively charged. Since, we are rubbing both balloons the charges on the surface are same. Hence they would repel one another because they would both have a negative charge.

Question 3:

This question is incompletely posted.

If a television with mass 15kg is lifted to a shelf of height 1.2m how much gravitationallyl potential energy is added to the television

Answers

Its potential energy is 176.4J.

It's a good idea to create your procedure so that it's written _____. A. on a computer B. after your conclusions C. with step-by-step instructions D. in a way other scientists can't understand

Answers

the answer is C. step by step

Answer:

C. with step-by-step instructions

Explanation:

In order to create a procedure that is well understood and easily readily one needs to draw step by step action of the event that can lead to the formation of the proper answer to the query, and help in forming a good ides and proper sentence, also one should try to avoid too many words and use a active voice and be proper explanation of the statements should be made.

Michael is playing with two horseshoe magnets. He is trying to get them to touch, but they will not regardless of how hard he tries. Why will the magnets not come in contact?

Answers

since like poles repel, the two horseshoe magnets have like poles facing each other, hence they repel each other and therefore they will not come in contact
The reason the two horseshoe magnets wouldn't touch is because they are the same sides/ force. The saying of opposite attract becomes the opposite meaning, similar object repel. 

What was the weight, range, and cruising speed of “the big e?

Answers

The weight : 21,000 tons standard 32,060 tons full load
The Range : 12,500 nautical miles
Cruising Speed : 15 knots
USS Enterprise (CV-6) was the seventh U.S. Navy vessel to bear the name. Nicknamed  "the Big E", she was the sixth aircraft carrier of the United States Navy. 
.  

Answer:

Weight = 94,780 tons

Range = 12,500 nautical miles

Cruising speed = 62.2 km/h

Explanation:

Big E was nickname of USS Enterprise CVA(N) - 65 aircraft carrier. It is a nuclear -powered air craft and eighth United States Naval vessel.

One hypothesis states that plate movement results from convection currents in the a. inner core. c. lithosphere. b. asthenosphere. d. outer core.

Answers

One hypothesis states that plate movement results from convection currents in the asthenosphere.


what do waves transmit?

Answers

Waves transmit energy

Answer:

Waves only transport a portion of energy.

Explanation:

Let's think about some examples related to waves in nature:

An electromagnetic wave is a combination of electric and magnetic fields, both of them oscillate through space and time. That oscillation transport energy, that is bounded in little "packets" of energy called photons. So this wave transmits energy.In the case of a solid, the periodic oscillation of the molecules, this kind of oscillation transport energy too and in this particular case it is called phonons. It is just a quantum of energy related to a compression wave, as a sound or a vibration lattice in a crystal.

In conclusion, waves only transport a portion of energy.

I hope it helps you!

Why is it inadvisable to make a horseshoe magnet from a flexible material? 1. a flexible material is not easily magnetized. 2. a flexible material is easily loses its magnetism. 3. none of these 4. the poles of the magnet attract each other and will cause the magnet to bend. 5. a flexible material cannot be easily made into a horseshoe shape?

Answers

Different magnetic poles are drawn to one another. The magnet will bend if it is too flexible, possibly allowing the poles to touch and reducing the magnetic field around it.

What horseshoe magnet from a flexible material?

Since a horseshoe magnet's design naturally provides more strength than a bar magnet does, it quickly superseded the bar magnet in use. The magnet's poles are situated closer to one another and in the same plane thanks to the U-shape.

The majority of horseshoes are constructed of steel, though there are a few outliers. Because aluminum horseshoes are lighter and perform better when speed is the primary goal, racehorses typically wear them.

At the magnet's poles are concentrated its strongest elements. Because of this, a horseshoe shape is thought to be the strongest.

Therefore, particularly handy to produce if you need to carry heavy goods or strengthen a bar magnet.

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What type of radiation can penetrate deepest into exposed materials?

Answers

Gamma radiation has the greatest penetrating power. Gamma Radiation can only be absorbed by a thick lead plate.  Gamma  will pass through 6 feet for steel-lined concrete and can give a lethal dose in as little as 20 minutes.  Gamma rays are the most penetrating, being able to travel through a few meters of lead.

During the early 1800s, these professionals regularly appeared in court to answer questions related to physical evidence.


chemistry

forensic science

legal

medical

Answers

Final answer:

In the early 1800s, forensic scientists, such as chemists and medical doctors, began to provide evidence in court related to physical evidence from crime scenes. Option b

Explanation:

During the early 1800s, forensic science was a field where professionals, including medical doctors and sometimes chemists, provided scientific evidence in courts to assist legal proceedings.

These individuals would analyze physical evidence from crime scenes, such as hair, blood, and other body fluids, and increasingly, DNA. They played crucial roles in determining the facts of criminal cases by examining forensic evidence left at crime scenes.

This period marked the beginning of the systematic application of science to legal processes, a practice that would grow significantly with advancements in technology and methodology. Option b

How much heat is required to warm 1.40 l of water from 20.0 ∘c to 100.0 ∘c? (assume a density of 1.0g/ml for the water.)?

Answers

The water density is 
[tex]d=1.0 g/mL = 1000 g/L[/tex]
And the mass of 1.40 L of water is
[tex]m=dV=(1000 g/L)(1.40 L)=1400 g[/tex]

The amount of heat needed to increase the temperature of the water by [tex]\Delta T[/tex] is given by
[tex]Q=m C_s \Delta T[/tex]
where m is the water mass, [tex]C_s = 4.18 J/g ^{\circ}C[/tex] is the water specific heat capacity and 
[tex]\Delta T=100.0 ^{\circ}C-20.0 ^{\circ}C = 80.0^{\circ}C[/tex] 
is the increase in temperature. If we substitute these numbers into the equation, we find
[tex]Q=(1400 g)(4.18 J/g^{\circ}C)(80.0^{\circ}C)=4.68 \cdot 10^5 J[/tex]
Final answer:

The amount of heat required to warm the water can be calculated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature. Therefore, the amount of heat required to warm 1.40 L of water from 20.0 °C to 100.0 °C is 468,352 J.

Explanation:

The amount of heat required to warm the water can be calculated using the formula:

Q = mcΔT

Where Q is the heat energy, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.

Given that the density of water is 1.0 g/mL and the volume of water is 1.40 L, the mass of water can be calculated as:

m = density × volume = 1.0 g/mL × 1.40 L × 1000 mL/L = 1400 g

The change in temperature is 100.0 °C - 20.0 °C = 80.0 °C.

Substituting the values into the formula:

Q = (1400 g)(4.184 J/g °C)(80.0 °C) = 468,352 J.

Therefore, the amount of heat required to warm 1.40 L of water from 20.0 °C to 100.0 °C is 468,352 J.

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In situations where the plane of projection is not parallel to the surface of the object, the resulting orthographic view is ____.

Answers

The resulting orthographic view is foreshortened.

On a 600-mile, a pilot can save 30 minutes by increasing her usual speed by 40 mph. find her usual speed

Answers

217.1 mph that is his usual speed

-Select ALL that apply-
Absolute zero is ___.

A. 0K
B. –40oC
C. –273oF
D. –273oC
E. the temperature at which water freezes
F. the temperature at which motion is at a minimum

Answers

The correct options are:
A) 0 K
F) the temperature at which motion is at a minimum

In fact, absolute zero corresponds to zero degrees in the Kelvin scale: 0 K. At this temperature, the motion of the molecules of any substance is minimum (it is zero, to be precise).

(note: there are some weird signs in the answers. if there is a negative sign in front of [tex]273^{\circ}C[/tex] in option D), then option D is correct as well, because [tex]0 K =-273^{\circ} C[/tex]).

An airplane flies 930 miles in 75 minutes. how many miles does it fly in 5 hours and 45 minutes assuming a constant speed?

Answers

Let's convert the second time into minutes. 5 hours corresponds to
[tex]5 h \cdot 60 m/h =300 m[/tex]
So the second time is
[tex]t_2 = 5 h 45 m = 300 m + 45 m = 345 m[/tex]

We can now solve the problem by using a simple proportion. We know that the plane takes 75 minutes to fly 930 miles, so the distance covered in 345 minutes is given by
[tex]930 miles : 75 min = x : 345 min[/tex]
[tex]x= \frac{930 miles \cdot 345 min}{75 min} =4278 miles [/tex]
Final answer:

First, calculate the average speed of the airplane, which is 12.4 miles per minute. Then, convert 5 hours and 45 minutes into minutes which is 345 minutes. Multiple the speed by this time to find the distance the airplane would fly, which is 4278 miles.

Explanation:

To solve this problem, we first need to figure out the average speed of the airplane. Average speed is calculated by dividing the total distance by total time. In this case, the airplane travels 930 miles in 75 minutes. So the speed is 930 miles/75 minutes = 12.4 miles/minute.

Now that we have the speed per minute, we can calculate how many miles the airplane would travel in 5 hours and 45 minutes. This time converts to 345 minutes (since 1 hour = 60 minutes). So, the airplane would fly 12.4 miles/minute * 345 minutes = 4278 miles.

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Other Questions
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