Answer:
The time constant is [tex]\tau = 17.5 \ s[/tex]
Explanation:
From the question we are told that
The spring constant is [tex]k = 11.5 \ N/m[/tex]
The mass of the ball is [tex]m_b = 490 \ g = 0.49 \ kg[/tex]
The amplitude of the oscillation t the beginning is [tex]x = 6.70 cm = 0.067 \ m[/tex]
The amplitude after time t is [tex]x_t = 2.20 cm = 0.022 \ m[/tex]
The number of oscillation is [tex]N = 30[/tex]
Generally the time taken to attain the second amplitude is mathematically represented as
[tex]t = N * T[/tex] Here T is the period of oscillation
[tex]t = N * 2\pi \sqrt{\frac{m}{k} }[/tex]
=> [tex]t = 30 * 2 * 3.142 * \sqrt{\frac{ 0.490}{11.5} }[/tex]
=> [tex]t = 38.88 \ s[/tex]
Generally the amplitude at time t is mathematically represented as
[tex]x(t) = x e^{-\frac{at}{2m} }[/tex]
Here a is the damping constant so
at [tex]t = 38.88 \ s[/tex] , [tex]x_t = 2.20 cm = 0.022 \ m[/tex]
So
[tex]0.022 = 0.067 e^{-\frac{a * 38.88}{2 * 0.490} }[/tex]
=> [tex]0.3284 = e^{-\frac{a * 38.88}{2 * 0.490} }[/tex]
taking natural log of both sides
=> [tex]ln(0.3284 ) = -\frac{a * 38.88}{2 * 0.490} }[/tex]
=> [tex]a = 0.028[/tex]
Generally the time constant is mathematically represented as
[tex]\tau = \frac{m}{a}[/tex]
=> [tex]\tau = \frac{0.490}{ 0.028}[/tex]
=> [tex]\tau = 17.5 \ s[/tex]
differences between a resultant and a equilibrium
Answer:
I found "As nouns the difference between resultant and equilibrium is that resultant is anything that results from something else; an outcome while equilibrium is the condition of a system in which competing influences are balanced, resulting in no net change. is following as a result or consequence of something."
Explanation:
A car travels 23.0 m/s for 1.0 hours and then accelerates for 30.0 seconds to reach 40.0 m/s. What was the total distance traveled by this car
Answer:
s = 83.85 km
Explanation:
First we calculate the distance covered by car, while traveling at constant speed:
s₁ = v₁t₁
where,
s₁ = distance covered at constant speed = ?
v₁ = constant speed = 23 m/s
t₁ = time of travel at constant speed = 1 hr = 3600 s
Therefore,
s₁ = (23 m/s)(3600 s)
s₁ = 82800 m = 82.8 km
Now, we calculate the distance travelled in accelerated motion. First we use 1st equation of motion to find acceleration:
Vf = Vi + at₂
where,
Vf = Final velocity = 40 m/s
Vi = Initial Velocity = 30 m/s
a = acceleration = ?
t₂ = time = 30 s
Therefore,
40 m/s = 30 m/s + a(30 s)
a = 10 m/s/30 s
a = 0.33 m/s²
Now, we use 2nd equation of motion for distance:
s₂ = Vi t₂ + (1/2)at₂²
s₂ = (30 m/s)(30 s) + (1/2)(0.33 m/s²)(30 s)²
s₂ = 900 m + 150 m
s₂ = 1050 m = 1.05 km
So, the total distance covered was:
s = s₁ + s₂
s = 82.8 km + 1.05 km
s = 83.85 km
(b) In the USA, drones are not allowed to be flown too high above the ground.
Suggest one possible risk of flying a drone too high above the ground.
Plz complete thank you in advance
The 400-foot altitude limit was put in place for the sake of airspace safety, and there is a risk to country security as well as the privacy of citizens.
What are drones?Unmanned aerial vehicles (UAVs), sometimes known as drones, are used for a variety of jobs, from routine to extremely dangerous. These robotic-looking planes can be seen practically everywhere, from delivering groceries to your home to rescuing avalanche victims.
The 400-foot altitude restriction was ultimately implemented for airspace safety. Given the breadth of the airspace above 400 feet, the likelihood of a drone colliding with a human aircraft is exceedingly remote, but the consequences might be disastrous.
Any aerial vehicle that uses software to fly autonomously or that may be controlled remotely by a pilot is referred to as a drone. Numerous drones come equipped with cameras to gather visual data and propellers to stabilize flying paths. Drone technology has been incorporated into industries like videography, search and rescue, agriculture, and transportation.
When in uncontrolled (Class G) airspace, your drone must be flown 400 feet above the ground or less.
To know more about drones:
https://brainly.com/question/27753670
#SPJ2
A wagon with a weight of 300 N is accelerated across a level surface at 0.5 m/s2. What net force acts on the wagon?
9.0 N
15 N
150 N
610 N
Answer:
F = 15.29[m/s²].
Explanation:
To solve this problem we must use Newton's second law which tells us that the force is equal to the product of mass by acceleration.
ΣF =m*a
where:
m = mass [kg]
a = acceleration = 0.5 [m/s²]
Therefore we must find first the mass.
[tex]W =m*g\\m=W/g\\m = 300/9.81\\m = 30.58 [kg][/tex]
Now replacing in Newton's second law.
[tex]F = m*a\\F = 30.58*0.5\\F=15.29[m/s^{2}][/tex]
What does the underlined word mean in the following sentence? El conejo viene el día de Pascua de Resurrección. Easter Christmas Holidays Thanksgiving
Answer:easter
Explanation:
Answer:
Easter
Explanation:
did it on edge, and searched it up
A rolling ball moves from x1 = 8.0 cm to x2 = -4.1 cm during the time from t1 = 2.9 s to t2 = 6.0 s .
Complete Question
A rolling ball moves from [tex]x_1 = 8.0 \ cm[/tex] to [tex]x_2 = - 4.1 \ cm[/tex] during the time from [tex]t_1 = 2.9 s[/tex] to [tex]t_2 = 6.0s[/tex]
What is its average velocity over this time interval?
Answer:
The velocity is [tex]v = 3.903 \ m/s[/tex]
Explanation:
From the question we are told that
The first position of the ball is [tex]x_1 = 8.0 \ cm[/tex]
The second position of the ball is [tex]x_2 = - 4.1 \ cm[/tex]
Generally the average velocity is mathematically represented as
[tex]v = \frac{ x_1 - x_2}{t_2 - t_1}[/tex]
=> [tex]v = \frac{ 8 - -4.1 }{ 6 - 2.9 }[/tex]
=> [tex]v = 3.903 \ m/s[/tex]
write an email to your friend about your
preparation for the upcoming exam
Answer:
You will be very glad to know that my preparation for HSC examination is very good. I have prepared myself for the HSC Examination 2015. I am confident that I will obtain very good marks in the examination. I have revised them several times and I am hopeful of obtaining distinction marks in all the subjects.
Explanation:
This is from Brainly hope this person helped you
Light passes through a 0.15 mm-wide slit and forms a diffraction pattern on a screen 1.25 m behind the slit. The width of the central maximum is 0.75 cm. What is the wavelength of the light?
a. 400nm
b. 450nm
c. 510nm
d. 600nm
Answer:
b. 450 nm
Explanation:
The wavelength of light can be calculated by using the formula derived in Young's double slit experiment. The formula is as follows:
Δx = λL/d
Δx/2 = λL/2d
where,
Δx/2 = half distance between consecutive dark fringes = width of central maximum = 0.75 cm = 0.0075 m
λ = wavelength of light = ?
L = Distance of Screen = 1.25 m
d = width of slit = 0.15 mm = 0.00015 m
Therefore,
0.0075 m = λ(1.25 m)/(0.00015 m)
λ = (0.0075 m)(0.00015 m)/2(1.25 m)
λ = 4.5 x 10⁻⁷ m = 450 nm
Thus, the correct option is:
b. 450 nm
What is the result of increasing the speed at which a magnet moves in and
out of a wire coil?
O A. The current in the wire increases.
B. The magnetic field around the magnet decreases.
C. The current in the wire decreases.
O D. The magnetic field around the magnet increases.
Answer:
Explanatio
Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced. 3)n:
A vehicle travels with an average speed of sav = 15 mi/hr.
A projector lens projects an image from a 6.35 cm wide LCD screen onto a
screen 3.25 m wide. If the focal length of the projector lens is 13.8 cm, the screen
must be how far from the projector
Answer:
For any given projector, the width of the image (W) relative to the throw distance (D) is know as the throw ratio D/W or distance over width. So for example, the most common projector throw ratio is 2.0. This means that for each foot of image width, the projector needs to be 2 feet away or D/W = 2/1 = 2.0.
A jogger runs north 6 km, 5 km east, and 4 km north again. Time is 1.9 hr. What is average velocity?
Answer:
Average velocity = 5.9 km/ hr (or 1.64 m/s).
Explanation:
Velocity = [tex]\frac{displacement}{time}[/tex]
It is a vector quantity and has an SI unit of m/s.
Displacement = [tex]\sqrt{x^{2} + y^{2} }[/tex]
x = 5 km east
y = 6 km north + 4 km north
= 10 km north
So that,
Displacement = [tex]\sqrt{5^{2} + 10^{2} }[/tex]
= [tex]\sqrt{25 + 100}[/tex]
= [tex]\sqrt{125}[/tex]
= 11.1803
Displacement = 11.18 km = 11180 m
Time = 1.9 hr = 6840 seconds
Average velocity = [tex]\frac{11.180}{1.9}[/tex]
= 5.8842
Average velocity = 5.9 km/ hr
The average velocity is 5.9 km/ hr (or 1.64 m/s).
Does anyone skateboard still?
Answer:
yes
Explanation:
people still skateboard that is an easy question
PLEASE HELP
What are the most common limiting factors in a cloud forest ecosystem?
What are the most common limiting factors in a coral reef ecosystem?
What are the most common limiting factors in a desert ecosystem?
What is an abiotic infectious agent?
Name five types of bacteria.
Which of the following would probably need the greatest force to overcome its inertia?
option 1 a tennis ball 2 a sports ar 3 a dump truck and four a bicycle
Answer:
A dump truck.
Explanation:
Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.
In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.
Mathematically, it is given by the formula;
[tex] F = ma[/tex]
Where;
F represents force measured in Newton.m represents the mass of an object measured in kilograms.a represents acceleration measured in meter per seconds square.The inertia of an object such as a tractor trailer rig is greatly dependent or influenced by its mass; the higher quantity of matter in a dump truck, the greater will be its tendency to continuously remain at rest.
Hence, a dump truck would probably need the greatest force to overcome its inertia because it has more mass than all the other objects in the category. Also, the mass of an object is directly proportional to its inertia, as well as the force applied.
Answer:As one of Newton's Laws of Gravitational force The answer would Be a dump truck because it includes one of Newton's Laws of Gravitational force in the abstract Laws of gravity.
A cow is given a growth hormone and then compared to another cow that was not given a growth hormone. Both cows were weighed at 2 years.
The complete question is as follows:
A cow is given a growth hormone and then compared to another cow that was not given a growth hormone. Both cows were weighed at 2 years. What is the independent variable?
if the cow is given growth hormone or not
weight of the cow
same cows
type of growth hormone
Answer:
The correct answer is - if the cow is given growth hormone or no
Explanation:
The independent variable is here is if the growth hormone is given or not as the variable which is subject to change or manipulated during an investigation and affects the dependent variable is known as the independent variable.
Due to this independent variable manipulation the weight of the cows might be different which makes the weights as the dependent variable.
A car covers a distance of 200m. If its velocity is 20 m/s, calculate the time taken.
Answer:
10 seconds
Explanation:
velocity=displacement/time
An ant is crawling along a yardstick that is pointed with the O-inch mark to the east and the 36-Inch mark to the west. It starts at the 19-inch mark, crawls to the 27-inch
mark, then moves to the 7-inch mark. What was the total distance the ant traveled?
Answer:
33 Inches
Explanation:
The movement of the ant is sketched in the attached image. The ant moved from the 19-inch mark to 27-inch mark covering a distance of 13 Inches (27 - 19). Finally, it moved from the 27-inch mark to 7-inch mark covering a distance of 20 Inches (27 - 7).
Total Distance covered = 13 + 20 = 33 Inches.
Hence, the total distance the ant traveled is 33 Inches.
A typical atomic polarizability is 1 × 10-40 (C·m)/(N/C). If the q in p = qs is equal to the proton charge e, what charge separation s could you produce in a typical atom by applying
Answer:
s = 6.25 10⁻²² m
Explanation:
Polarizability is the separation of electric charges in a structure, in the case of the atom it is the result of the separation of positive charges in the nucleus and the electrons in their orbits, macroscopically it is approximated by
p = q s
s = p / q
let's calculate
s = 1 10⁻⁴⁰ / 1.6 10⁻¹⁹
s = 0.625 10⁻²¹ m
s = 6.25 10⁻²² m
We see that the result is much smaller than the size of the atom, therefore this simplistic model cannot be taken to an atomic scale.
A jet airplane with a 75.0 m wingspan is flying at 260 m/s. What emf is induced between the wing tips in V if the vertical component of the Earth’s magnetic field is 3.00 × 10-5 T?
Answer:
0.585V
Explanation:
Given that:
B = 3.00 × 10-5 T
l = 75.0 m
v = 260 m/s
From Blv = emf between the wing tips
= 3.00 × 10-5 T × 75×260
= 117/200
= 0.585V
Hence, the emf between the wing tips is 0.585V
5.
An 80 newton force and a 45 newton force act on an object
as shown below.
80 N
30°
4S N
Which of the following vectors would bets represent an
equilibrant when added to this system?
(1) 24 N to the left (3) 24 N to the right
(2) 114 N to the right (4) 45 N to the left
Tirant Showroiculations
Answer:
the answer is a time your welcome
Answer:
(1)
Explanation:
When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the diameter of this resistor is now tripled, the current will be:______.A) 18 A.
B) 2/3 A.
C) 3 A.
D) 2/9 A.
E) 2 A.
Answer:
sorry I wish I could it help you
I want to know about the inventions caused due to rain. Like the Benjamin Franklin's Lightning Conductor. I have to make a chart.
A 50 g mass is freely hanging from a horizontal meter stick at a distance of 99 cm from the pivot. Calculate the weight force W that the mass exerts on the meter stick? ·Calculate the torque that the weight force exerts about the pivot? 4. What does the pivot exert on the meter stick?
Answer:
W = 0.49 N
τ = 0.4851 Nm
Force
Explanation:
The weight force can be found as:
W = mg
W = (0.05 kg)(9.8 m/s²)
W = 0.49 N
The torque about the pivot can be found as:
τ = W*d
where,
τ = torque
d = distance between weight and pivot = 99 cm = 0.99 m
Therefore,
τ = (0.49 N)(0.99 m)
τ = 0.4851 Nm
The pivot exerts a FORCE on the meter stick because the pivot applies force normally over the stick and has a zero distance from stick.
Suppose you have a 2000 Watt water heater that is on for a total of 150 hours a month. How much will this cost you at a rate of 10 cents per kW*hr?
Answer:
$30
Explanation:
Given that,
Power of a water heater, P = 2000 Watts
It is on for a total of 150 hours a month.
2000 Watts = 2 kW
Time, t = 150 hours
Energy used by the water heater is given by :
[tex]E=P\times t\\\\E=2\ kW\times 150\ h\\\\E=300\ kWh[/tex]
It is also mentioned that the cost is 10 cents per kWhr.
Since, $1 = 100 cents
10 cents = $0.1
So, the total cost for the month is :
Cost = 300 × 0.1
Cost = $30
So, the required cost is $30.
Which is the BEST example of selective attention?
Answer:
Examples include listening carefully to what someone is saying while ignoring other conversations in a room (the cocktail party effect) or listening to a cell phone conversation while driving a car. Attention is one of the most intensely studied topics within psychology and cognitive neuroscience.
A college student has just bought a small computer that weighs 50N. Her apartment is on the 5th floor which is 35 meters up. How much work must she do to drag her computer up the stairs?
Answer:
W = 1750 J
Explanation:
It is given that,
Weight of a computer, F = 50 N
A student wants to keep it on the 5th floor which is 35 meters up.
We need to find the work done by her to drag her computer up the stairs. Let it is W. Using the formula of work as follows :
W = F d
Put all the values,
W = 50 N × 35 m
W = 1750 J
So, 1750 J of work is done by her to drag the computer up the stairs.
A car weighing 1,356 N is speeding down a highway with a velocity of 83 km/h. What is the momentum of this car
Answer:
The momentum of the car is 3190.74 kgm/s
Explanation:
Given;
weight of the car, w = 1,356 N
velocity of the car, v = 83 km/h = 23.06 m/s
The mass of the car is given by;
m = w/g
where;
g is acceleration due to gravity = 9.8 m/s²
m = 1356 / 9.8
m = 138.367 kg
The momentum of this car is given by;
P = mv
P = (138.367 x 23.06)
P = 3190.74 kgm/s
Therefore, the momentum of the car is 3190.74 kgm/s
What did Isaac Newton’s investigation if the gravity explain ?
Answer:
Gravity acts on all objects in the universe.
Explanation:
A rocket traveling at 36.96 m/s is accelerated uniformly to 74.44 m/s over a 21.37 s interval. What is its displacement during this time?
Answer:
s = 1190.3 m = 1.19 km
Explanation:
First we find the acceleration by using first equation of motion:
Vf = Vi + at
where,
Vf = Final Velocity = 74.44 m/s
Vi = Initial Velocity = 36.96 m/s
a = acceleration = ?
t = time = 21.37 s
Therefore,
74.44 m/s = 36.96 m/s + a(21.37 s)
a = (74.44 m/s - 36.96 m/s)/21.37 s
a = 1.75 m/s²
Now, we use 2nd equation of motion to find distance covered (s):
s = Vi t + (1/2)at²
s = (36.96 m/s)(21.37 s) + (1/2)(1.75 m/s²)(21.37 s)²
s = 789.83 m + 400.47 m
s = 1190.3 m = 1.19 km