I'm going to assume you mean
[tex]y = 14t^2 - \dfrac{t^2}{2+5t} - 3[/tex]
Taking the derivative with respect to t on both sides gives
[tex]\dfrac{\mathrm dy}{\mathrm dt} = 2\cdot14t - \dfrac{(2+5t)(2t)-t^2(5)}{(2+5t)^2} - 0 \\\\ \dfrac{\mathrm dy}{\mathrm dt} = \boxed{28t - \dfrac{4t+5t^2}{(2+5t)^2}}[/tex]
You could go on to expand the rational expression into partial fractions. One way to do this:
[tex]\dfrac{5t^2 + 4t}{(2 + 5t)^2} = \dfrac{t(5t+2) + 2t}{(2+5t)^2} \\\\= \dfrac{t}{2+5t} + \dfrac{2t}{(2+5t)^2} \\\\= \dfrac15 \cdot \dfrac{t}{\frac25+t} + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 \cdot \dfrac{t+\frac25-\frac25}{\frac25+t} + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 \left(1 - \dfrac{2}{2+5t}\right) + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 - \dfrac{2}{10+25t}+ \dfrac{2t}{(2+5t)^2}[/tex]
and this would give
[tex]\dfrac{\mathrm dy}{\mathrm dt} = 28t - \dfrac15 + \dfrac2{10+25t} - \dfrac{2t}{(2+5t)^2}[/tex]
3. A large crane lifts a 25,000 kg mass in the air. The amount of work that must be done by the
crane's lifting components is 2.2 X 10'J (Wo). If the efficiency of the crane is 22%, how much
useful work is done on the mass (Wou)?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Efficiency.
Here we can see that, the Input work is given as 2.2 x 10^7 J and the efficiency is given as 22%
The efficiency is => 22% => 22/100.
so we get as,
E = W(output) /W(input)
hence, W(output) = E x W(input)
so we get as,
W(output) = (22/100) x 2.2 x 10^7
=> W(output) = 0.22 x 2.2 x 10^7 => 0.484 x 10^7
hence, W(output) = 4.84 x 10^6 J
The useful work done on the mass is 4.84 x 10^6 J
Compute the force on each of two electrons when they are seperated in vaccum by a distance corresponding to the approximate size of an ato. (0.100nm)
Answer:
2.304 × 10^-28 N
Explanation:
Compute the force on each of two electrons when they are seperated in vaccum by a distance corresponding to the approximate size of an ato. (0.100nm)
Solution
The formula to use is
F = K Qq / r^2
Substitute all the parameters
F = 9 × 10^9 × (1.6 × 10^-19)^2 / (0.1 × 10^-9)^2
F = 2.304 × 10^-28 / 1 × 10^-10
F = 2.304 × 10^-18 N
Therefore, the force between each of the electron is 2.304 × 10^-18 N
A man digs a hole in the soil next to a bush. How does the shovel make work easier for the man digging the hole? Check all that apply. The shovel changes the direction of the force the man applies. The man can apply less force. The man has to apply more force. The force applied by the end of the shovel decreases. The force applied by the end of the shovel increases.
Answer:
Following are the solution to the given points:
Explanation:
The shovel shifts the course of the man's force.
Man can use less power.
The strength at the end of the shovel is growing.
Its shovel is a tool that is used to excavate and transfer its large particles. This streamlines the job for all the men to find the pit.
Its machines modify their method that uses force. Its man must therefore use less force to lift the bulk material.
Answer:
The shovel changes the direction of the force the man applies.
The man can apply less force.
The force applied by the end of the shovel increases.
(a,b,e)
Explanation:
edge 2021
A negative 6 mC charge enters a region of 45 T magnetic field that is directed up. If the charge is moving toward the south with a speed of 400 m/s
Question: A negative 6 mC charge enters a region of 45 T magnetic field that is directed up. If the charge is moving toward the south with a speed of 400 m/s. determine the magnitude and direction of the force
Answer:
Magitude of F = 108 N
Direction: Perpendicular to the plane containing v and B.
Explanation:
From the question,
Since the velocity of the charge(v), is parallel to the field(B).
Therefore, We apply
F = qvB..................Equation 1
Where F = Force, B = magnetic field, v = velocity, q = Charge.
Given: q = 6 mC = 0.006 C, v = 400 m/s, B = 45 T
Substitute these values into equation 1
F = 0.006×400×45
F = 108 N.
The direction of the force is always perpendicular to the plane containing v and B.
does motion of charge always lead to electric current ?
Answer:
The charges in motion constitute an electric current. However, not all moving charges constitute an electric current.
For this problem, you will only be concerned with the geometric aspects of thin-film interference, so ignore phase shifts caused by reflection from a medium with higher index of refraction. (Because of the structure of a butterfly's wings, such phase shifts do not contribute much to what you actually see when you look at the butterfly.) Part A Assume that light is incident normal to the surface of a film of thickness d. How much farther does the light reflected from the back surface travel than the light reflected from the front surface
Answer:
Λ = 2 t
Explanation:
This is a problem is interference by reflection, where it is requested not to take into account the changes of phase and change in the wavelength within the film
λₙ = λ₀ / n
When the wave enters the film, it must reach the end of the film, be reflected and reach the initial surface, therefore the total length is
d = 2 t
where t is the thickness of the film, because the film is perpendicular to the surface
therefore the difference in optical path between the reflected ray on the surface and the end film is
Λ = 2 t
How is the information from the stimuli is communicated to the brain?
Answer:
To accurately respond to stimuli, the brain relies on information communicated by sensory neurons. Sensory neurons detect inputs from the environment, convert them into signals (electrical impulses), and pass the information on to the brain and spinal cord, where a response can be generated.
Explanation:
The light is most intense where it strikes Earth _______ to its surface.
Answer: The sun's rays strike Earth's surface most directly at the equator. This focuses the rays on a small area. Because the rays hit more directly, the area is heated more.
The light is most intense where it strikes Earth's surface most directly at the equator
The sun's rays strike Earth's surface most directly at the equator. The rays are focused on a narrow area as a result of this. The area is heated more because the sunlight touch it more directly.The incoming solar radiation is more direct (almost perpendicular or closer to a [tex]90[/tex] degree angle) when the sun's rays contact the Earth's surface near the equator. As a result, solar energy is focused over a smaller surface area, causing temperatures to rise.For more information:
https://brainly.com/question/23286357?referrer=searchResults
Please help me with this (20 points)
Answer:
1. troposphere
2. troposphere (still)
3. The most abundant gas in the atmosphere is nitrogen, with oxygen second. Argon, an inert gas, is the third most abundant gas in the atmosphere.
4.The stratosphere is where you'll find the very important ozone layer. The ozone layer helps protect us from ultraviolet radiation (UV) from the sun. In fact, the ozone layer absorbs most of the UV radiation the sun sends to us. Life as we know it wouldn't be possible without this layer of protection.
5. It contains the ozone, which protects Earth from the sun's radiation. Why aren't there many meteors in the troposphere? They burn up before they reach the troposphere.
Explanation:
1.The troposphere is the atmospheric layer closest to the planet and contains the largest percentage (around 80%) of the mass of the total atmosphere. Temperature and water vapor content in the troposphere decrease rapidly with altitude.
2.The layer closest to Earth's surface is the troposphere, reaching from about seven and 15 kilometers (five to 10 miles) from the surface. The troposphere is thickest at the equator, and much thinner at the North and South Poles.
3. Explained in the answer.
4. Explained in the answer.
5. Explained in the answer.
If a 12 kg object's velocity changes from 5 m/s to 10 m/s in 5 s, what amount of force was applied to increase the speed of the object?
Answer:
12 N
Explanation:
Given that a 12 kg object's velocity changes from 5 m/s to 10 m/s in 5 s, what amount of force was applied to increase the speed of the object?
Solution
M = 12 kg
T = 5 s
The formula to use will be
F = ma
Where
Acceleration a = change in velocity/ time
Acceleration a = ( 10 - 5 ) / 5
Acceleration a = 5 / 5
Acceleration a = 1 m/s^2
Substitutes a into the formula above
F = ma
F = 12 × 1
F = 12 N
Therefore, the amount of force applied to increase the speed of the object is 12 N.
will give Brianliest answer. help.
consider a collusion in one dimension that invoves two objects of masses 4.5 kg and 6.2 kg the larger mass is originally at rest, and the smaller mass has an initial velocity of 16 m/s [E]. the final velocity of the larger object is 10.0 m/s [E]. calculate the final velocity of the smaller object after the collision.
Answer:6.2
Explanation:
Who is better Godzilla or King Kong
Answer:
nun
Explanation:
Answer:
Godzilla
Explanation:
Mike drives his car 60 km in 55 minutes. What is the
average speed?
Answer:
0.0050m/s
Explanation:
=60km/55m
=16.66/3300
=0.0050m/s
Michael is trying to move his desk from one from side of his room to the other. Unfortunately, the desk doesn't actually move. Considering the equation W=Fs, What has not been done by Michael ?
Answer:
Work hasn't been done by Michael because no distance was covered.
Explanation:
Workdone is given by the formula;
[tex] Workdone = F * s[/tex]
Where;
W is the work done
F represents the force acting on a body.
s represents the distance covered by the body.
Hence, work hasn't been done by Michael because no distance was covered, as the table didn't move at all. Therefore, work done is zero.
Which of the following is NOT true about power?
Group of answer choices
A)Power is work divided by time.
B)Power is a time-based quantity.
C)Power refers to how fast work is done upon an object.
D)Powerful people or powerful machines are simply people or machines which always do a lot of work.
Answer:
I think B) is uncorrect
Explanation:
As A) p=w/t so it's correct relation
C) power depend on time and work as work is distance multiple force so it refer to velocity
D) the powerful mean much work in a few time
Yong bought a can of soda at the pool and left the soda in the Sun while he swam. When Yong came back, the soda can was warm. What raised the temperature of his soda? A. the sound of people's voices B. heat energy from the Sun C. water splashed from the pool D. bees flying around the soda can
Answer:
B. heat energy from the sun
How much energy does a 100-W light bulb use in 8.0 hours?
Energy is referred to heat here
Power=P=100WTime=t=8hEnergy be H
[tex]\\ \sf\Rrightarrow H=Pt[/tex]
[tex]\\ \sf\Rrightarrow H=100(8)[/tex]
[tex]\\ \sf\Rrightarrow H=800J[/tex]
A copper atom has an atomic number of 29 and an atomic mass of 64. What
is the structure of this atom?
A. It has a central nucleus composed of 29 protons and 64 neutrons,
surrounded by an electron cloud containing 29 electrons.
B. It has a central nucleus composed of 35 protons and 29 neutrons,
surrounded by an electron cloud containing 29 electrons.
O C. It has a central nucleus composed of 29 protons and 35 neutrons,
surrounded by an electron cloud containing 29 electrons.
OD. It has a central nucleus composed of 29 protons and 29 neutrons,
surrounded by an electron cloud containing 35 electrons.
Answer:
The answer is B.
Explanation:
It has a central nucleus composed of 29 protons and 35 neutrons, surrounded by an electron cloud containing 29 electrons.
A mechanic uses a screw driver to install a 1⁄4-20 UNC bolt into a mechanical brace. What is the mechanical advantage of the system? What is the resistance force if the effort force is 5 lb
Answer:
15.7 ; 78.5
Explanation:
Given that
The mechanic use a screw driver to install 1⁄4-20 UNC bolt
And, the effort force is 5lb
We need to find out the mechanical advantage
And, the resistance force
As we know that
The Mechanical advantage of a screw = Circumference ÷ pitch
where,
Circumference = pi × d
pi = 3.142, D = diameter
So,
Circumference = 3.142 × (1 ÷ 4)
= 0.785 in
Now
Pitch = 1 ÷ TPI
Here TPI (thread per inch) = 20
Pitch = 1 ÷ 20 = 0.05
So,
Mechanical advantage = 0.785 ÷ 0.05
= 15.7
Now Resistance force if effort force is 5lb
We know that
Mechanical advantage = Fr ÷ Fe
Here
Fe = effort force, Fr = resistance force
15.7 = Fr ÷ 5
Fr = 15.7 × 5
= 78.5 lbs
What is the Activation Energy for this reaction?
A. 50 kJ
B. 150 kJ
C. 250 kJ
D. 200 kJ
Answer:
250 kJ
Explanation:
peak of curve
Answer:
200kJ
Explanation:
I am pretty sure this is right because it isnt 50kj, that was the answer to my question which was different. My peak started at 150kJ, went up to 200, then dropped to 50kj, leading into my reasoning for my answer.
Which phrase best describes what the graph for
average low temperatures would look like?
rk
O It would run parallel to and below the high
temperature graph.
O It would be a flat line that crosses the high
temperature graph.
O It would be the opposite of the high temperature
graph.
It would be a flat line below the high temperature
graph.
Answer:
i dont know sir
Explanation:
A bird flies South for the winter at a constant force of 51 N. Suddenly a wind with a force of 35 N blows due South. What is the net force of the bird?
Answer:
86N
Explanation:
The bird is going south and the wind is also blowing south so all the force is acting in the same direction thus it all adds up.
You have been asked to participate on the selection committee for a new textbook for the course you will be teaching in the upcoming academic year. Identify and discuss the criteria that you will use to evaluate each textbook that is under consideration by the committee.
you can eat burrito with hot taco and if school like?
A 8.0-g bullet with an initial velocity of 115.0 m/s lodges in a block of wood and comes to rest at a
distance of 4.0 cm. Assume the bullet undergoes a constant negative acceleration; it slows at a
constant rate.
a. How much time does it take for the bullet to stop?
b. What is the impulse on the woodblock?
c. What is the average force experienced by the block?
Objects A and B are brought close to each other. Object A will soon become positively charged. Identify the charge that must transfer for
this
situation to occur.
15
Select the correct answer.
What is the basic unit of all matter?
OA
neutron
B.
atom
O C.
electron
OD. proton
O E. nucleus
Reset
Next
Answer:
The basic unit of matter is atoms
Answer:
B. atom
Explanation:
it's atom........
What concept does the image above show?
What is the kinetic energy of a 78kg object moving at a velocity of 2.5m/s
Answer:
[tex]\boxed {\boxed {\sf 243.75 \ J }}[/tex]
Explanation:
Kinetic energy is energy an object has due to motion. The formula is:
[tex]KE=\frac {1}{2}mv^2[/tex]
The mass of the object is 78 kilograms and the velocity is 2.5 meters per second.
[tex]m= 78 \ kg \\v= 2.5 \ m/s[/tex]
Substitute the values into the formula.
[tex]KE= \frac {1}{2} (78 \ kg)*(2.5 \ m/s)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Solve the exponent first.
(2.5 m/s)²= 2.5 m/s * 2.5 m/s = 6.25 m²/s²[tex]KE= \frac {1}{2}(78 \ kg)*6.25 \ m^2/s^2[/tex]
Multiply all three numbers together.
[tex]KE=39 \ kg * 6.25 \ m^2/s^2\\[/tex]
[tex]KE=243.75 \ kg*m^2/s^2[/tex]
1 kilogram meter squared per second squared is equal to 1 Joule. So, our answer of 243.75 kg *m²/s² is equal to 243.75 Joules.
[tex]KE=243.75 \ J[/tex]
The object has 243.75 Joules of kinetic energy.
A man is jogging to work. From his house he runs 752 meters west, turns a corner and runs 587 meters south before arriving at work. What is the mans total distance covered AND net displacement (length of displacement and angle)?
Answer:
[tex]d_t=1339m[/tex]
[tex]d_r=953.98[/tex]
[tex]x=37.975 \textdegree[/tex]
Explanation:
From the question we are told that
1st distance [tex]d_1=752 m[/tex]
2nd distance [tex]d_2=587 m[/tex]
Generally the total distance [tex]d_t[/tex]covered by the man is mathematically given as
[tex]d_t =1st\ distance +2nd\ distance[/tex]
[tex]d_t=752+587\\d_t=1339m[/tex]
Generally the resultant distance traveled is mathematically given as
[tex]d_r^2=d_1^2+d_2^2[/tex]
[tex]d_r=\sqrt{752^2+587^2}[/tex]
[tex]d_r=953.98[/tex]
Generally the angle using sine rule traveled is mathematically given as
let angle =x
[tex]\frac{sin90}{d_r} =\frac{sinx}{587}[/tex]
[tex]sinx=\frac{sin90*587}{953.98}[/tex]
[tex]x=37.975 \textdegree[/tex]
A. Dashed Line
B. Solid Line