The required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
Given that,
An object with mass m is dropped from rest and taking air resistance into account.
The velocity as a function of time is,
v(t) = (m g)/c [ 1 - e^-(ct/m)]
v(t) = (m g)/c [ 1 - 1/e^(ct/m)]
lim t → ∝ v(t) = (m g)/c [ 1 - 1/∝]
lim t → ∝ v(t) = (m g)/c ( 1 - 0)
lim t → ∝ v(t) = (m g)/c
Thus, the required lim t → ∝ v(t) when an object is dropped from rest is calculated to be mg/c.
The question is incomplete. The complete question is 'v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) Calculate lim t→∞ v.'
To know more about limits:
https://brainly.com/question/12989799
#SPJ4
Athletes such as swimmers and bicyclists wear body suits in competition. Formulate a list of pros and cons of such suits.
There is a drag force that opposes a person's motion while they are moving through a fluid, whether it be air or liquid. Range of motion is constrained by the drag force. Drag force is overcome by the suits. The drawback is overheating.
A bodysuit's main function is to give you support and a seamless tuck-in so you may dress comfortably and easily. Bodysuits can be skin-tight or loose, and because of the tension they create from the shoulders to the crotch, they can embrace your curves and serve as the ideal foundation for whichever bottom you choose.
They can be warm and tight or very thin - useful for warmth - or even be very light (say, 60g), cooling underwear. They are typically elastic and stretchy. They can serve as both underwear and outerwear, but a pair of trousers, pants, or a skirt must be worn below.
Benefits include being thin, warm or cooling, extremely snug, occasionally shapewear, suitable for layering, and warm without bulk (you can get a big deal from a 60g torso garment). fitting in.
They interfere with using the restroom and can occasionally make it difficult to distinguish their front from back sides. Typically, the longer portion of the crotch, called the tail, is at the back. The bodysuits without arms, however, can also be worn buttoned up.
To learn more about Body suits from given link
https://brainly.com/question/10619818
#SPJ4
Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement B The springs stretched to double the original displacement, C The spring displacement reduced to half of the original displacement
B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.
What is displacement?The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.
Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:
[tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]
Learn more about displacement
https://brainly.com/question/11934397
#SPJ4
How much work is needed to overcome friction in a machine
depends on the machine's [blank]
The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.
What proportion of the work a user inputs into a machine is actually completed by the machine?Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.
Do all devices eliminate friction?The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.
To know more about friction visit:-
https://brainly.com/question/13000653
#SPJ1
The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 150-kilogram object 1.6 meters.
The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules is 1,372J.
What does physics mean by a work done?
In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement.
Work done can be computed using the formula:
[tex]w=Fd[/tex]
Where:
W = work (J)
F = Force (N)
d = Distance (d)
Looking at the given, you know that you do not have a value for force, so you will have to solve for it.
[tex]F=Ma[/tex]
Where:
F = Force
m = mass
a = acceleration
Because the object is being lifted, the acceleration will rely on gravity. Acceleration due to gravity is a constant 9.8 m/s^2. Let's list our given first:
F = ?
m = 100kg
a = 9.8m/s^2
Put that into our equation and solve:
[tex]F=mA\\F=100*9.8\\F=980Kg.m/s^{2}[/tex]
Our force is then 980 N.
Now that we have force we can solve for Work. The given for work is as follows:
F= 980N
d = 1.4mPut that into our formula and solve:
[tex]W=Fd[/tex]
[tex]W=(980)*(1.4)\\W=1372[/tex]
The work done is 1,372J.
To know more about work visit:-
https://brainly.com/question/18094932
#SPJ4
where does sound travel faster(the desert or the forest)?
Answer:
forest
Explanation:
cause of the echo
Answer:
forest
Explanation:
very spacious enough to make echo
A elastic spring is compressed by an amount x. Show that its P.E. is 1/2 kx2
where k is the spring constant.
Answer:
The potential energy (P.E.) stored in an elastic spring is equal to the work done in compressing or stretching the spring.
When a spring is compressed or stretched, the force required to do so is given by Hooke's law, which states that the force F required to compress or stretch a spring by an amount x is given by
F = kx, where k is the spring constant.
The work done in compressing or stretching a spring is equal to the force required to do so multiplied by the distance over which the force is applied.
In the case of a spring, this distance is equal to the amount x by which the spring is compressed or stretched.
Therefore, the work done in compressing or stretching a spring is given by
W = Fd = kx * x = kx^2.
The potential energy stored in the spring is equal to the work done to compress or stretch it.
Therefore, the potential energy of a spring that is compressed by an amount x is given by P.E. = W = kx^2.
Substituting kx^2 = 1/2 kx^2, we find that
P.E. = 1/2 kx^2.
This shows that the potential energy stored in an elastic spring is equal to 1/2 times the spring constant multiplied by the amount x by which the spring is compressed or stretched.
Explanation:
Why is dynamic stretching recommended before activity?
Dynamic stretching is recommended before activity because it helps to prepare the muscles for the upcoming activity.
It increases range of motion, flexibility, and muscular coordination, and also helps to increase blood flow to the muscles. This helps to improve the performance of the muscles and reduce the risk of injury. Additionally, dynamic stretching helps to improve the overall physical conditioning of an individual, which is beneficial for any type of physical activity.
Dynamic stretching is typically recommended for individuals preparing for physical activity. Dynamic stretching involves movements that gradually increase in range of motion and muscle length, such as arm swings, leg swings, and torso twists.
Learn more about dynamic stretching:
https://brainly.com/question/860156
#SPJ4
different between simple cell and dry cell
Answer:
Simple cell has liquid chemicals and it is difficult to carry from one place to another. Dry cell has no solution. So, it is easier to carry it from one place to another and there is no risk of spilling acid from the dry cell. So, dry cell is more useful than simple cell in our daily life.
Is there any difference between antimatter, dark matter, dark energy, and degenerate matter?
Yes. Antimatter, dark matter, dark energy, and degenerate matter are all distinct entities that actually exist in our universe, despite their names sounding hazy and almost fictitious.
Is there a distinction between dark energy and dark matter?Dark energy and dark matter are not the same, despite the name. The only difference is that both are invisible. Galaxies are pushed apart by dark energy, while dark matter holds them together.
Which of the three kinds of dark matter exists?Candidates for dark matter can be either baryonic or non-baryonic, or a combination of the two. Most of the time, the non-baryonic forms fall into two categories: Hot Dark Matter (HDM) and Cold Dark Matter (CDM).
To learn more about Dark energy here:
https://brainly.com/question/29801644
#SPJ1
Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.
when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.
What is a distance?Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.
To learn more about distance follow the given link: brainly.com/question/12356021
#SPJ4
A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s
The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.
Does acceleration affect angular velocity?The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.
What is the formula for angular acceleration?The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.
To know more about angle turned visit:
brainly.com/question/29160335
#SPJ4
A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?
A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.
What is a free-body diagram?In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.
Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.
Read more on free-body diagram here: https://brainly.com/question/18770265
#SPJ1
What is the radius of the event horizon of this 10-Solar-mass black hole, in units of kilometers (km)
The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
How do you calculate the radius of the event horizon?The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:
r = 2GM/c^2
where
r = radius of the event horizon (in meters)
G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)
M = mass of the black hole (in kg)
c = speed of light in a vacuum (2.998 x 10^8 m/s)
For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.
M = 10 x 1.989 x 10^30 kg
Now, we can substitute the values into the formula
r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2
r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2
r = 2.95 x 10^3 m = 2950 kilometers
So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
To know more about the Schwarzschild radius:
brainly.com/question/12647190
#SPJ4
What is momentum moment Mcq?
Moment of momentum, which describes the rotating inertia of a system moving about an axis, gauges an object's propensity to keep spinning.
How do you gain traction?List the object's mass and speed in step one. Convert any values into SI units in step two (kg, m, s). Step 3: To calculate an object's momentum, multiply the object's mass and velocity.
Can there be negative momentum?Momentum can go wrong. As a vector quantity with both magnitude and direction, momentum has both. The sign, positive or negative, in physics serves as a cue as to the direction. Positive amounts normally signify a forward or upward motion, whereas negative quantities typically indicate a backward or downward motion.
to know more about momentum here:
brainly.com/question/24030570
#SPJ4
What is moment momentum?
8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?
9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?
10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?
a book with a mass of 0.25 kg is lifted 2 m onto a bookshelf. how much gravitational potential energy does it gain? ( g = 10 N/kg)
He watched as night gave way to sunrise, dimming the stars in the sky. What is the meaning of dimming as it is used in the sentence
It is believed that human activity has increased the amount of particulates or aerosols in the atmosphere, including sulfate aerosols.
Dimming: What kind of word is that?dimmed, dimming, verb (used with subject), dimmeddull or make dimmer. to change (a vehicle's headlights) from high to low beam.dimmed, dimming, verb (and use it without object), dimmed
Dim sum – how to use in a sentence?The restaurant's dim sum was quite well-liked.On the weekends, waiters drive a cart that contains the dim sum in the old-fashioned manner.
to know more about meaning of dimming visit:
https://brainly.com/question/9465254
#SPJ4
Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race
Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).
Converting the time to seconds, we get 449.45 seconds.
Therefore,
3000 / 449.45 = 12.089 m/s.
This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.
Learn more about speed:
https://brainly.com/question/26046491
#SPJ4
What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.
Answer: 66.02dB
Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])
[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]
Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB
In a comic book, Superman carries a bus (with a bomb on board) up into the air, hovers for a second and then
throws the bus over the horizon while he stays hovering. How does this situation break the law of conservation
of momentum? What should have happened instead? Why?
This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.
It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.
What is the second law ?Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body and it states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Newton’s second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities.
Learn more about Newton’s second law at: https://brainly.com/question/25545050
#SPJ1
What cells are missing in SCID?
The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.
According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.
X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).
To learn more about SCID from given link
https://brainly.com/question/15526421
#SPJ4
a mass m is moving horizontally across a frictionless floor with velocity v. The mass now encounters
Option B is V2/Mg gives the total distance travelled by the mass before it is slowed to a stop by friction
The total distance traveled by the mass before it is slowed to a stop by friction can be determined by calculating the work done by the force of friction on the mass. As we have seen before, the force of friction acting on the mass is given by the equation F = friction = umg.
Now, the work done by the force of friction on the mass is given by W = Fd. Using the definition of force of friction and assuming that the final velocity of the mass is zero, we can write the following equation:
umgd = (1/2)mv^2
Dividing both sides by m*g and simplifying the equation we get:
d = (1/2) * u^-1 *v^2 /g
If we compare this expression with the options provided, we can see that it matches with option B: V^2/Mg. Therefore, the total distance traveled by the mass before it is slowed to a stop by friction is given by V^2/Mg.
Learn more about mass here:
https://brainly.com/question/19694949
#SPJ4
The complete question is :
With velocity, a mass moves horizontally along a nearly frictionless floor. The mass now comes into contact with a section of the floor that has a coefficient of kinetic friction equal to Which option gives the total distance travelled by the mass before it is slowed to a stop by friction?
Option A is 2V2/Mg.
Option B is V2/Mg
An object has a density of 3.25 kg/m?. If it has a total volume of 12.65m?. What is the object's mass?
Answer:
The object's mass is 41.1125 kilograms.
Explanation:
We can use the general density equation to determine the mass.
Density Equation
[tex]p=\frac{m}{V}[/tex]
[tex]p[/tex] is the density
[tex]m[/tex] is the mass
[tex]V[/tex] is the volume
Lets solve for [tex]V[/tex].
Multiply both sides of the equation by [tex]V[/tex].
[tex]p*V=\frac{m}{V}*V[/tex]
Cancel out the common factor of [tex]V[/tex] on the right side.
[tex]pV=m\\m=pV[/tex]
Now we have an equation for mass.
We are given
[tex]p=3.25[/tex]
[tex]V=12.65[/tex]
Substituting our values into our equation gives us
[tex]m=3.25*12.65\\m=41.1125[/tex]
Notice the unit of the given density
[tex]kg/m[/tex]
Our answer will be in kilograms
An object with a negative charge of 1.2 mC exerts an attractive force of 13.6 N on a second charged object
0.072 m away. What is the charge and polarity (positive or negative) of the 2nd obiect?
Answer: N 0.072
Explanation:
First thing i did was figure out what the negative charge was originaly
The charge and the polarity of the 2nd object is 0.072 N.
What is Force?Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another.
Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Lesson 2 and subsequent lessons will cover these particular forces in greater depth.
Action-at-a-distance forces are those that happen even when the two interacting objects are not physically touching each other but are nevertheless able to push or pull against each other despite their physical separation.
Therefore, The charge and the polarity of the 2nd object is 0.072N.
To learn more about Force, refer to the link:
https://brainly.com/question/13191643
#SPJ2
A spring gains 2.34 joules of elastic potential energy as it is compressed 0.250 meter from its equilibrium position. What is the spring constant of this spring
According to the given information the spring constant is 74.9 J N/m
What are Joules Joules?joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.
What does Joules sell?Established in the British countryside by Tom Joule in 1989, Joules is a true premium lifestyle brand with an authentic heritage. Now a truly multi-channel business, Joules designs and sells clothing, footwear, accessories, homeware, gifting and lifestyle product collections for all the family.
= PEs = 16kx² 234)
= 1/2k(25mm)² K
= 74.9 J N/m
To know more about joules visit
brainly.com/question/22479740
#SPJ4
A box of weight 150 N is placed on
an inclined plane. The component
of the box's weight acting along
the plane is given by W'. What
would be the value of W", in
Newtons?
The value W' along inclined plane = (150 sin α ) N
W = m x g = 150 N --> based on case
W = weigth
m = massa
g = gravity acceleration
Fn = Normal force
Fn = m x g x cos α = W cos α = 150 N x cos α
W’ = m x g x sin α = W sin α = 150 N x sin α
Since the angle α is not known it will be still variable, so we could say that the W’ = (150 sin α ) N
Learn more about inclined planes at
https://brainly.com/question/14983337
#SPJ4
A 1070-kg car starts from rest at the bottom of a drive way and has a speed of 3.00 m/s at a point where the drive way has risen a vertical height of 0.600 m. Friction and the drive force produced by the engine are the only two nonconservative forces present. Friction does -2870 J of work. How much work does the engine do
In the question the only nonconservative forces in play are friction and the engine's motive force. Work done by friction is -2870 J. The work done by the engine is 1285 J.
The work done by an engine can be determined by the change in kinetic energy of the car. The work-energy principle states that the net work done on an object is equal to its change in kinetic energy. The initial kinetic energy of the car is 0 J (at rest) and the final kinetic energy of the car is 1/2mv^2, where m is the mass of the car and v is its final speed. The work done by the engine is equal to the change in kinetic energy of the car, which is the final kinetic energy minus the initial kinetic energy.Work_engine = change in kinetic energy = (1/2)mv^2 - 0
Work_engine = (1/2)(1070)(3)^2 = 4155 J. The work done by friction is -2870 J, which is negative because it is opposing the motion of the car. The net work done by nonconservative forces is the sum of the work done by the engine and the work done by friction. Net work = Work_engine + Work_friction = 4155 J + (-2870 J) = 1285 J. Therefore, the work done by the engine is 1285 J.
Learn more about work done here:
https://brainly.com/question/2750803
#SPJ4
In about 6 billion years, the Sun will become a red giant. This will not be a problem for humanity because
The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.
As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.
Learn more about Sun:
brainly.com/question/17376727
#SPJ4
A truck was traveling at 24 m/s in came to a stop in 8 seconds. What was the truck's average acceleration over
that time period?
-3 m/s²
2 m/s²
3 m/s²
16 m/s²
Answer:
-3 m/sExplanation:
how I don't know I just guessed but now yall knowA car slows down at -5.00m/s^2 until it comes to a stop after traveling 15.0m. What was the initial speed of the car?
The steady deceleration of a car traveling at 15 m/s starts. After ten seconds, it abruptly ends. starting speed of the vehicle
What is the physics of speed?When subtracting the distance even by travel time, speed is calculated. The distance and time information must be understood in order to calculate the pace units. The measurements in the this case will be performed in meters per second (m/s), as the length was measured in meters and the time is stated in minutes (s).
What connection exists between speed and velocity?Velocity is the rate and direction of an object's motion, whereas speed is the rate at which an object moves along a path over time. In other words, whereas speed is in fact a scalar value, velocity is a vector.
To know more about speed visit:
https://brainly.com/question/28224010
#SPJ1