Answer:
The magnitude of the acceleration of the car when \(s = 50\,m\) is \(2\,\frac{m}{s^{2}}\).
Explanation:
The acceleration can be obtained by using the following differential equation:
\(a = v \cdot \frac{dv}{ds}\)
Where \(a\), \(v\) and \(s\) are the acceleration, speed and distance masured in meters per square second, meters per second and meters, respectively.
Given that \(v = 0.2\cdot s\), its first derivative is:
\(\frac{dv}{ds} = 0.2\)
The following expression is obtained by replacing each term:
\(a = 0.2\cdot 0.2\cdot s\)
\(a = 0.04\cdot s\)
The magnitude of the acceleration of the car when \(s = 50\,m\) is:
\(a = 0.04\cdot (50\,m)\)
\(a = 2\,\frac{m}{s^{2}}\)
If you were to subtract the net force from the weight of the falling object, what would you be solving for?
Answer: Air resistance
Explanation: If you subtract the net force from the weight of a falling object, you would be solving for a force that is not being balanced from the other forces.
The net force (with no external forces) on the falling object would just be the force of gravity. So, any force that unbalances the force of gravity would be what you are solving for. This can be air resistance, friction (if the object is sliding against a wall), or applied forces (pushing the object while it falls).
. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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Justine's hair dryer has a resistance of 8 Ω when first turned on. How much currentdoes the hair dryer draw from 134 V line in Justine's house?
Ohm's law :
V = I x R
V= voltage = 134 V
R = resistance = 8 Ω
I = current
I = V / R
Replacing:
I = 134/8 = 16.75
Current = 16.75 Ampere [A]
How does something(the big bang) come from nothing by nothing i mean the first universe although we don't know where the first universe is but we do know that nothing can't come from something.
The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.
It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.
Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.
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how far from the lens is the image of the house if the house is 16 ft from the thin convex lens with a focal length of 8 ft
This question involves the concepts of the thin lens formula, focal length, and image distance.
The image of the house is "16 ft" away from the lens.
According to the thin lens formula:
\(\frac{1}{f}=\frac{1}{p}+\frac{1}{q}\)
where,
f = focal length = 8 ft
p = object distance = 16 ft
q = image distance = ?
Therefore,
\(\frac{1}{8\ ft}=\frac{1}{16\ ft}+\frac{1}{q}\\\\\frac{1}{q}=\frac{1}{8\ ft}-\frac{1}{16\ ft}\\\\\frac{1}{q}=0.125\ ft^{-1}-0.0625\ ft^{-1}\\\\q=\frac{1}{0.0625\ ft^{-1}}\\\\\)
q = 16 ft
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Somebody help me please!!!
Answer: Environmental factors are the abiotic factors that interact with and influence the biotic factors. The amount of carbon dioxide, and water clarity affects the sunlight reaching the aquatic organisms.
PLEASE HELP QUICKLY THANKS
Answer: the answer is d
Explanation:
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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you will go no where as far as you wish because there is no air resistance or friction, causing you to not stop. In the real world, you would stop a little bit after you got done with the hill because you have friction and air Resistance to bring you to a stop. There is a huge difference because in real life, there is a lot of friction and air resistance in the real world, which will eventually bring someone to a stop no matter how fast they are going.
Because of friction and air resistance, every moving object will eventually come to rest unless a continuous net force is applied to it.
What is friction?Friction is the opposition offered to motion of a body over another body.
Friction can either be:
Solid friction as in friction in solidsFluid friction as in air resistanceThe law of inertia states that an object will remain in its state of rest or state of motion in a straight line unless acted upon by an external force.
However, due to friction and air resistance, every moving object will eventually come to rest unless a continuous net force is applied to it.
In conclusion, moving objects come to rest because of friction and air resistance.
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What is the velocity of an object that moves from 73 m to 62 m in 15 s?
Answer:
Below
Explanation:
You can use this formula to find the velocity of an object
velocity = displacement / change in time
For this problem, we need to find displacement first
To find displacement all you need to do is find the difference between the two distances!
So our displacement here would be
73 - 62 = 11 m
Now that we have displacement we can find velocity
velocity = 11 / 15
= 0.733333....
= 0.73 m/s
Hope this helps! Best of luck <3
The velocity of an object that moves from 73 m to 62 m in 15 s is 0.73 m / s.
What is velocity?When an item is moving, its velocity indicates how quickly its location is changing as seen from a specific point of view and as measured by a specific unit of time.
If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the traveled distance divided by the travel time. For instance, a train traveling 100 km in two hours is moving at an average speed of 50 km/h.
Given:
The distance of the object = 73 m to 62 m,
The time taken by the object, t = 15 s,
Calculate the displacement of the object = 73 - 62 = 11 m
Calculate the velocity by the formula given below,
\(v = d /t\)
v = 11 / 15
v = 0.73 m / s
Therefore, the velocity of an object that moves from 73 m to 62 m in 15 s is 0.73 m / s.
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A squirrel runs across a branch on an oak tree and knocks an acorn and a leaf off the tree.
Which item will hit the ground first? Explain.
If two objects collide and stick together, what must increase?
A.
the acceleration due to gravity
B.
the friction between the two objects
C.
the force of gravity between the objects
D.
the two objects' momentum
A body of mass 5.0 kg is suspended by a spring which stretches 10 cm when the mass is attached. It is then displaced downward an additional 5.0 cm and released. Its position as a function of time is approximately what? Group of answer choices
Answer:
0.05cos10t
Explanation:
X(t) = Acos(wt+φ)
The oscillation angular frequency can be calculated using below formula
w = √(k/M)
Where K is the spring constant
But we were given body mass of 5.0 kg
We know acceleration due to gravity as 9.8m)s^2
The lenghth of spring which stretches =10 cm
Then we can calculate the value of K
k = (5.0kg*9.8 m/s^2)/0.10 m
K= 490 N/m
Then if we substitute these values into the formula above we have
w = √(k/M)
w = √(490/5)
= 9.90 rad/s=10rads/s(approximately)
Its position as a function of time can be calculated using the below expresion
X(t) = Acos(wt+φ)
We were given amplitude of 5 cm , if we convert to metre = 0.05m
w=10rads/s
Then if we substitute we have
X(t)=0.05cos(10×t)
X(t)= 0.05cos10t
Therefore,Its position as a function of time=
X(t)= 0.05cos10t
A 2.1 x 103 kg car starts from rest in a driveway. An average force of 4.0 x 103 N act on the car so that the car’s speed at the end of the driveway is 3.8 m/s. What was the length of the driveway?
Answer:
Explanation:
We can use the kinematic equation v^2 = u^2 + 2as to solve for the length of the driveway. Here, u = 0 (since the car starts from rest), v = 3.8 m/s, a = F/m = 4.0 x 10^3 N / 2.1 x 10^3 kg = 1.9 m/s^2. Solving for s, we get:
s = (v^2 - u^2) / 2a = (3.8^2) / (2 x 1.9) = 3.8 m
So the length of the driveway is 3.8 meters.
5. A projectile is fired in Earth's gravitational field with a horizontal velocity of y = 9.00 m/s.
b. How far does the projectile fall in the vertical direction in 0.550 s?
Answer:
4.13mExplanation:
Given
Horizontal velocity = 9.00m/s
time taken = 0.550 s
Required
How far does the projectile fall in the vertical direction
Using the formula for finding the maximum height of the projectile
H = U²sin²θ/2g where;
U = 9.00m/s
θ = 90° (object launched in the vertical direction)
g = 9.81m/s²
Substituting the given parameters into the formula;
H = 9²sin²90/2(9.81)
H = 81(1)/19.62
H = 81/19.62
H = 4.128 m
H ≈ 4.13m
Hence the distance that the projectile fall in the vertical direction is 4.13m
ighth grade F.1 Identify reactants and products MGX
This passage describes a chemical reaction. Read the passage. Then, answer the question
below.
The cheesemaking process sometimes includes a step called lactic acid fermentation.
This step occurs when a certain type of bacteria is added to milk. The bacteria form
lactic acid (C3H603) by combining water (H₂O) and lactose (C12H22011) in the milk.
When lactic acid forms, the milk's proteins clump into curds that can later be used to
make many types of cheese.
In the chemical reaction described in the passage, which of the following are reactants?
Select all that apply.
water (H₂O)
lactose (C12H22011)
Submit
lactic acid (C3H603)
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Theodore is running at 2m/s as he runs off a bluff and drops 10 meters into a water filled rock
quarry. Calculate the time it takes for Theodore to splash down. Calculate the distance he lands
away from the edge of the bluff? (show one's work)
5 second is the time it takes for Theodore to splash down running at 2m/s velocity as he runs off a bluff and drops 10 meters into a water filled rock
quarry.
velocity= 2m/s
distance=10 meters
velocity=distance/time
time=distance/velocity
time=10 meters/2m/s
time=5 second
A vector number known as velocity describes "the pace at which an item changes its location." Imagine a person moving quickly, taking one stride ahead, one step back, and then beginning from the same place each time. A vector quantity is velocity. As a result, velocity is aware of direction. One must consider direction while calculating an object's velocity. Saying that an item has a velocity of 55 miles per hour is insufficient. The direction must be included in order to adequately characterize the object's velocity. Simply said, the velocity vector's direction corresponds to the motion of an item
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(a) When an object's acceleration vector points in the same direction as its velocity, which of the following is true?
A. the object speeds up without turning.
B. the object slows down without turning.
C. the object turns without changing speed.
A. When an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.
What is acceleration vector?
The average acceleration vector is defined as the rate at which the velocity changes with time.
When an object is slowing down, the acceleration of the object is in the opposite direction as the velocity.
Also, when an object is speeding up, the acceleration of the object is in the same direction as the velocity.
Thus, when an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.
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PLEASE HELP and show work, thank you !!
-The top speed of a Utahraptor is about 9 m/s. How long would it take a Utahraptor to run 1500 m if it accelerates from rest to 9 m/s? Assume acceleration is constant and it reaches its top speed at exactly 1500 m from its starting point.
Answer:
2.94 s
Explanation:
v = u + at
where:
v = final velocity = 9 m/s
u = initial velocity = 0 m/s (rest)
a = acceleration
t = time taken to reach final velocity
We can rearrange the equation to solve for time:
t = (v - u) / a
Substituting the given values, we get:
t = (9 m/s - 0 m/s) / a
Now, we need to find the acceleration. We can use another kinematic equation:
s = ut + (1/2)at^2
where:
s = displacement = 1500 m
u = initial velocity = 0 m/s
a = acceleration
t = time taken to cover the displacement
We can rearrange the equation to solve for acceleration:
a = 2(s - ut) / t^2
Substituting the given values, we get:
a = 2(1500 m - 0 m) / (1500 m / 9 m/s)^2
Simplifying, we get:
a = 3.06 m/s^2
Now, we can substitute this value of acceleration in the earlier equation to find the time taken:
t = (9 m/s - 0 m/s) / 3.06 m/s^2
Simplifying, we get:
t = 2.94 s
Please help!
A tennis ball falls off a shelf and bounces several times. Each bounce is lower than the one before. Soon the ball stops. Why doesn’t the ball keep bouncing?
A) some of the energy is changed into mass
B) The energy becomes stored in the ball
C) Energy is transferred to the air and ground
Answer:
c
Explanation:
energy isn't stored and it doesn't change to mass
The ball has some kinetic energy when it hits the floor, but some of it is changed, so it loses some of it each time it bounces. After a few bounces, the ball has so little kinetic energy remaining that it stops bouncing. Thus, option C is correct.
What doesn’t the ball keep bouncing?Since the gravitational potential energy, which can be transformed back into kinetic energy on the rebound, increases with the drop height, the consequent bounce height will likewise rise.
Because it has the most elasticity, the rubber ball will rebound the highest when all three balls are dropped from the same height. Because rubber is incredibly elastic, it squishes or compresses as it touches the ground but immediately snaps back to its original shape.
Therefore, Additionally, some energy is changed into other forms like heat and sound. The majority of these additional energy sources are lost and not recovered, causing the ball to bounce back to a lesser height.
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hello I need help with question 7 a and b please
Given data:
* The mass of the child is 40kg.
* The reading of the scale is 30 N.
Solution:
(a). The free body diagram of the given system is,
(b). The weight of the child is,
\(\begin{gathered} W=40\times9.8 \\ W=392\text{ N} \end{gathered}\)The Scale reading is,
\(N=30\text{ Newton}\)The net force acting on the box in terms of the weight of the box is,
\(\begin{gathered} F_{\text{net}}=N-mg \\ F_{\text{net}}=30-392 \\ F_{\text{net}}=-362\text{ N} \end{gathered}\)According to the Newton's second law,
\(undefined\)
How much time is required for an airplane to reach its takeoff speed of 77m/a if it starts from rest and its average acceleration is 8.2m/s^2?
Answer:
The time required is t = 9.39 [s]
Explanation:
To solve this problem we must use the following equation of kinematics.
\(v_{f}=v_{o} +(a*t)\)
where:
Vf = final velocity = 77 [m/s]
Vo = initial velocity = 0
a = acceleration = 8.2 [m/s²]
t = time [s]
The initial speed is zero, since the airplane begins its movement from rest. The initial speed is zero, since the aircraft begins its movement from rest. Another important fact is that the sign of acceleration is positive since the plane is accelerating, that is, its speed is increasing.
Now replacing:
77 = 0 + (8.2*t)
t = 9.39 [s]
Find the moment of 300N force about B
Answer:
300
Explanation Hope I'm not wrong.
Bob runs 1800 seconds at an average speed of 1.5 m/sec. How far did he go? 25 Points!!!!
Distance= Time×Speed
= 1800×1.5
= 2700 m
I am not sure it's right. the question itself is confusing.
Long Shore Drift is the ...
A. landforms along the shoreline of an ocean or sea
B. submerged or partly exposed ridge of sand along an ocean front
C. accumulation of sand grains along a beach front
D. movement of material along a coast by waves that approach at an angle to the shore.
Answer: D. movement of material along a coast by waves that approach at an angle to the shore.
Explanation:
Longshore drift is also referred to as the littoral druft and it means the sediment that is moved by the longshore current.
Longshore drift is the movement of material along a coast by waves which approach at an angle to the shore but then recede down the beach.
Therefore, the correct option is D.
The _________ rule says the ball must bounce one on each side before either team may start volleying the ball in the air. Double Bounce
Volley Bounce
Bounce
Two Bounce
A physics instructor wants to project a spectrum of visible light colors from 400 nm to 700 nm as part of a classroom demonstration. She shines a beam of white light through a diffraction grating with 500 lines per mm, projecting a pattern on a screen 2.4 m behind the grating. How wide is the spectrum corresponding to m=1?
Answer:
औडंठः की दुनिया कार्टून दर्शन होली है और यह बियर का अच्छा विकल्प है। विकल्प है। यो कुरा मेरो आफ्ना लागि विचार र त्यहाँको बडेमाको बिल्डिङ भित्र म जिन्दगी एक यात्रा हो कहाँबाट शुरु भइ कहाँ पुगेर अन्त हुन्छ
When you measure the mass of an object you are also measuring its what
Here ya go-!
Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. The basic SI unit of mass is the kilogram (kg).
(um im sorry if its wrong-)
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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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What type of tv uses a VfL for backlighting
A VfL (Vertical Field LED) backlighting system is commonly used in LCD (Liquid Crystal Display) televisions.
LCD TVs rely on a backlight to illuminate the liquid crystal layer, which controls the passage of light to create the visual image. The VfL technology is a specific type of LED backlighting arrangement used in certain LCD TV models. In a VfL backlighting system, the LEDs (Light-Emitting Diodes) are positioned vertically along the edges of the LCD panel.
The light emitted by these LEDs is directed across the panel using light guides or optical films, illuminating the liquid crystal layer uniformly. One advantage of VfL backlighting is its ability to provide consistent illumination across the LCD panel, reducing any potential inconsistencies in brightness or color uniformity. The vertical orientation of the LEDs allows for more precise control over light distribution, improving overall image quality.
Additionally, VfL backlighting offers potential advantages in terms of power efficiency. By selectively dimming or turning off specific zones of LEDs, local dimming techniques can be employed to enhance contrast and black levels, resulting in improved picture quality while conserving energy. It's important to note that VfL backlighting is just one of several backlighting technologies available for LCD TVs.
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