Answer:
1.84 m
Explanation:
For the small lead ball to be balanced at the tip of the vertical circle just before it is released, the reaction force , N equal the weight of the lead ball W + the centripetal force, F. This normal reaction ,N also equals the tension T in the string.
So, T = mg + mrω² = ma where m = mass of small lead ball, g = acceleration due to gravity = 9.8 m/s², r = length of rope = 1.10 m and ω = angular speed of lead ball = 3 rev/s = 3 × 2π rad/s = 6π rad/s = 18.85 rad/s and a = acceleration of normal force. So,
a = g + rω²
= 9.8 m/s² + 1.10 m × (18.85 rad/s)²
= 9.8 m/s² + 390.85 m/s²
= 400.65 m/s²
Now, using v² = u² + 2a(h₂ - h₁) where u = initial velocity of ball = rω = 1.10 m × 18.85 rad/s = 20.74 m/s, v = final velocity of ball at maximum height = 0 m/s (since the ball is stationary at maximum height), a = acceleration of small lead ball = -400.65 m/s² (negative since it is in the downward direction of the tension), h₁ = initial position of lead ball above the ground = 1.3 m and h₂ = final position of lead ball above the ground = unknown.
v² = u² + 2a(h₂ - h₁)
So, v² - u² = 2a(h₂ - h₁)
h₂ - h₁ = (v² - u²)/2a
h₂ = h₁ + (v² - u²)/2a
substituting the values of the variables into the equation, we have
h₂ = 1.3 m + ((0 m/s)² - (20.74 m/s)²)/2(-400.65 m/s²)
h₂ = 1.3 m + [-430.15 (m/s)²]/-801.3 m/s²
h₂ = 1.3 m + 0.54 m
h₂ = 1.84 m
A 22.0 kg child is riding a playground merry-go- round that is rotating at 40.0 rev/min. What centripetal force must
Answer:
F = 482.51 N
Explanation:
Given that,
Mass of a child, m = 22 kg
Angular velocity of the merry-go-round, [tex]\omega=40\ rev/min[/tex]
Let the radius of the path, r = 1.25 m
We need to find the centripetal force acting on the child. The formula for the centripetal force is given by :
[tex]F=m\omega^2r\\\\=22\times (4.18879)^2\times 1.25\\\\=482.51\ N[/tex]
So, the required centripetal force is 482.51 N.
What do all forms of electromagnetic radiation have
in common?
a. Their strength
b. Their speed
c. Their wavelength
d. Their frequency
Answer:
Explanation:
B. Their speed
Answer: b. Their speed
Explanation:
Match each term with the appropriate definition
Answer:
opaque = 4
malleable = 3
ductile = 2
lustrous (or whatever the bottom word is) = 1
Explanation:
how do you use vectors daily without realizing it was a vector?
I need help ASAP !!!
Explanation:
Vectors are quantities that has both magnitude and direction. A vector is described in terms of quantity and the direction it is headed.
There are different forms of vectors that are used in our daily life.
When we describe the motion of a car and the direction it is heading, we are simply talking about its velocity which is a vector. When we say James treks 2km from his school to the house everyday, we are simply describing his displacement. When we apply a force to push the table from one corner of the room to another point, is simply a vector When we change position, it is a vector application.You and your friends are organizing a trip to Europe. Your plan is to rent a car and drive through the major European capitals. By consulting a map you estimate that you will cover a total distance of 5000 kmkm. Consider the euro-dollar exchange rate given in the introduction and use unit conversion to work through these simple problems.
Required:
a. You select a rental package that includes a car with an average consumption of 6.00 liters of fuel per 100 km. Considering that in Europe the average fuel cost is 1.063 euros/liter, how much (in US dollars) will you spend in fuel on your trip?
b. How many gallons of fuel would the rental car consume per mile?
c. What is the average cost, in dollars per gallon, of fuel in Europe?
Answer:
$383
0.0255
4.83
Explanation:
We're asked to find the total fuel consumed over distance traveled and the cost of given fuel.
To start with, we convert Euro value to USD
Total distance traveled is 5000 km
Average fuel consumption is 6 ltr per 100 km = 0.06 ltr/km
Average fuel cost is 1.063 EUR/ltr
We're going to use a flat rate of 1 EUR to USD = 1.2 USD
To get the total fuel consumption, we use the formula
Total fuel consumption = total distance * average fuel consumption
Total fuel consumption = 5000 km * 0.06 ltr/km
Total fuel consumption = 300 ltr
Finding the total fuel cost, we use the formula
Total fuel cost = total fuel consumption * average fuel cost
Total fuel cost = 300 ltr * 1.063 EUR/ltr
Total fuel cost = 318.9 EUR
Total fuel cost in USD then is, 318.9 EUR × 1.2 USD/EUR
Total fuel cost = 383 USD
b
To convert given fuel consumption to mile per km
Average fuel consumption is 0.06 ltr/km
Conversion rate of Ltr to gal is 1 ltr = 0.264 gal/ltr
Conversion of Km to mile is 1 km = 0.621 mile/km
Going forward, the Average fuel consumption = 0.06 ltr/km * 0.264 gal/ltr ÷ 0.621 mile/km
Average fuel consumption = 0.01584 / 0.621
Average fuel consumption = 0.0255 gal/km
c) to convert given cost of fuel to USD/gal, we say
Average fuel cost is 1.063 EUR/ltr
We'd already stated that the following rates
EUR to USD = 1.2 USD/EUR
Ltr to gal = 0.264 gal/ltr
Average fuel cost = 1.063 EUR/ltr * 1.2 USD/EUR ÷ 0.264 gal/ltr
Average fuel cost = 1.2756 / 0.264
Average fuel cost = 4.83 USD/gal
A small mass is released from rest at a very great distance from a larger stationary mass. Draw a graphs best represents the gravitational potential energy U of the system of the two masses as a function of time T.
Answer:
attached below
Explanation:
Gravitational potential
energy = [tex]- \frac{GmM}{r}[/tex] ,
V ∝ [tex]- \frac{1}{r}[/tex]
attached below is a graph that represents the gravitational potential energy U
Gravitational potential energy is the energy held in an entity as a result of its vertical position or length. This gravitational pull of a planet on an object causes the information to be stored.
This is connected with gravitational pull since it takes work to lift anything against the gravity of the Earth.
Freshwater in a raised lake or kept behind a dam demonstrates gravitational force.
According to the formula:
Gravitational potential energy [tex]\bold{=-\frac{GMm}{r^2}}[/tex]
Therefore
[tex]\to \bold{V \propto -\frac{1}{r}}[/tex]
Therefore, the answer is "Option d"
Learn more about the Gravitational potential :
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What is the mass of a reindeer (on earth) that has a weight of 623 N
Answer: 140 pounds
Explanation:
Weight on an object on Earth is different from other bodies in space due to the gravity acting on the object.
Gravity on Earth is 9.80665 m/s². A kg on earth is therefore 9.80665 newtons (N).
With a weight of 623, the mass of the reindeer is:
= 623 / 9.80665
= 63.52832 kg
Converting to pounds:
A kilogram is about 2.20462 pounds:
= 63.52832 * 2.20462
= 140 pounds
The angular velocity (in rpm) of the blade of a blender is given in. If θ=0rad at t=0s, what is the blade's angular position at t=20s?
Answer:
θ = 20.9 rad
Explanation:
In a blender after a short period of acceleration the blade is kept at a constant angular velocity, for which we can use the relationship
w = θ / t
θ = w t
if we know the value of the angular velocity we can find the angular position, we must remember that all the angles must be in radians
suppose that the angular velocity is w = 10 rpm, let us reduce to the SI system
w = 10 rpm [tex](\frac{2\pi rad}{1 rev}) ( \frac{1 min}{60 s} )[/tex]
= 1,047 rads
let's calculate
θ = 1,047 20
θ = 20.9 rad
True or False: The speed of an object changes if the net work done on it is zero.
Answer:
false
Explanation:
If the net work done on an object is zero, it follows that its change in kinetic energy is also zero. Therefore, its speed remains the same.
I think the answer is false
A small car of mass 833 kg is parked behind a small truck of mass 1767 kg on a level road. The brakes of both the car and the truck are off so that they are free to roll with negligible friction. A 41 kg woman sitting on the tailgate of the truck shoves the car away by exerting a constant force on the car with her feet. The car accelerates at 1.5 m/s 2 . What is the acceleration of the truck
Answer: the acceleration of the truck a_t is 0.6911 m/s²
Explanation:
Given the data in the question;
There is no external force on the system; net force on the system is 0
Mass of the truck with the woman M = 1767 kg + 41 kg = 1808 kg
mass of the car m = 833 kg
car acceleration a_c = 1.5 m/s²
now let a_t be the acceleration of the truck in opposite direction
Action force on the car = Reaction force on the car
ma_c = Ma_t
a_t = ma_c / M
we substitute
a_t = (833 × 1.5) / 1808
a_t = 1249.5 / 1808
a_t = 0.6911 m/s²
Therefore, the acceleration of the truck a_t is 0.6911 m/s²
consider two point charges of 1.60uC and -22.25uC. Determine the magnitude of the force between the two charges when placed 6.50cm apart.
Answer:
[tex]F$\approx$76[/tex]
Explanation:
From the question we are told that
Point charges [tex]q_1=1.60uC[/tex]
[tex]q_2=-22.25uC[/tex]
Displacement [tex]d=6.50cm=>0.065m[/tex]
Generally the equation for Coulomb's law is Mathematically given as
[tex]F=\frac{k*q_1*q_2}{r^2}[/tex]
Therefore
[tex]F=\frac{9*10^9*-22.25*10^-^6*(1.60)*10^-^6}{(6.50*10^-^2)^2}[/tex]
[tex]F=-75.83431953[/tex]
[tex]F$\approx$-76[/tex]
with -(negative) showing form of force Magnitude => [tex]F$\approx$76[/tex]
A 20 kg sled is pulled up a 10m tall hill. What work is done against gravity?
Answer:
1962
Explanation:
w = f × d
= 20×9.81 × 10
= 1962
If you travel from Tucson to Argentina, you will see some different constellations in the night sky. true or false
Answer:
its true!!
Explanation: have a nice day !!
Suppose the maximum safe intensity of microwaves for human exposure is taken to be 1.00 W/m2 . (a) If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe
Answer:
We must be approximately at least 1.337 meters away to be exposed to an intensity considered to be safe.
Explanation:
Let suppose that intensity is distributed uniformly in a spherical configuration. By dimensional analysis, we get that intensity is defined by:
[tex]I = \frac{\dot W}{\frac{4\pi}{3}\cdot r^{3}}[/tex] (1)
Where:
[tex]I[/tex] - Intensity, measured in watts per square meter.
[tex]r[/tex] - Radius, measured in meters.
If we know that [tex]\dot W = 10\,W[/tex] and [tex]I = 1\,\frac{W}{m^{2}}[/tex], then the radius is:
[tex]r^{3} = \frac{\dot W}{\frac{4\pi}{3}\cdot I }[/tex]
[tex]r = \sqrt[3]{\frac{3\cdot \dot W}{4\pi\cdot I} }[/tex]
[tex]r = \sqrt[3]{\frac{3\cdot (10\,W)}{4\pi\cdot \left(1\,\frac{W}{m^{2}} \right)} }[/tex]
[tex]r \approx 1.337\,m[/tex]
We must be approximately at least 1.337 meters away to be exposed to an intensity considered to be safe.
a person lifts a book 2 meters off the ground using 50 n of force how much work was done
Answer:
100 joules
Explanation:
you cant use this all the time to solve it all the time but 50x2 is 100
A person lifts a book 2 meters off the ground using 50 n of force how much work was done was 100 joules.
What is Work done?When an object is moved across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.
The quantity of energy transmitted to an object through work is referred to as the work done on the thing.
Force on and displacement of the object are the two basic parts of work done on an object. For a force to exert its force along an object's path of motion, the object must be moved along that path. The units of measurement for work, force, and displacement are joules, newtons, and meters, respectively.
Therefore, A person lifts a book 2 meters off the ground using 50 n of force how much work was done was 100 joules.
To learn more about Work done, refer to the link:
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How many years does it take for the number of americium-241 nuclei to decrease
from 10 000 to 5000?
Time =
years=
Answer:
432 years
Explanation:
the half life of americium-241 is approx. 432 years, and the half life means the time it takes for half of the atoms to decay. hope this helps!
Explain how scientific knowledge develops through making observations about the natural world. FOR SCIENCE!
Answer number four because it is one of the factors evaluating science
What is the acceleration aaa of the refrigerator 4 ss after the person begins pushing on it with a force of 400 NN
Answer:
2 ms^2
Explanation:
Given that the mass of the refrigerator is 200Kg
The net force acting on the refrigerator is 400N
The time takes is 4s
From Newtons's second law of motion;
F =ma
a = F/m
a = 400/200
a = 2 ms^2
This is a constant acceleration
An electron traverses a vacuum tube with a length of 2 m in 2 X 10- 4
sec. What is the average speed of the
electron during this time?
Answer:
[tex]v=10^4\ m/s[/tex]
Explanation:
Given that,
The length of a vacuum tube, d = 2 m
Time, [tex]t=2\times 10^{-4}\ s[/tex]
We need to find the average speed of the electron during this time. Average speed is equal to total distance covered divided by total time taken.
Here, total distance = length of the vacuum tube
[tex]v=\dfrac{2}{2\times 10^{-4}}\\\\=10^4\ m/s[/tex]
So, the average speed of the electron is [tex]10^4\ m/s[/tex].
A 720 g softball is traveling at 15.0 m/s when caught. If the force of the glove on the ball is 520 N, what is the time it takes the ball to stop
Answer:
The time it takes the ball to stop is 0.021 s.
Explanation:
Given;
mass of the softball, m = 720 g = 0.72 kg
velocity of the ball, v = 15.0 m/s
applied force, F = 520 N
Apply Newton's second law of motion, to determine the time it takes the ball to stop;
[tex]F = ma = \frac{mv}{t} \\\\t = \frac{mv}{F} \\\\t = \frac{0.72 \ \times \ 15}{520} \\\\t = 0.021 \ s \\[/tex]
Therefore, the time it takes the ball to stop is 0.021 s.
What happens to friction if the velocity is constant? What will it equal to and what formula can be used to find it? Is it Fn = Ff?
Answer:
If the velocity is constant there is no friction it will equal to zero. It is Fn=Ff
Explanation:
what do you already know about asexual and sexual reproduction?
Answer:
Explanation:
Sexual reproduction is when a male and female have sexual inter course an and produce sex cells. A males sex cell is the sperm and the Females sex cell is the ova or egg cells.
What percentage of the acceleration at Earth's surface is the acceleration due to gravity at the position of a satellite located 489 km above Earth
Answer:
Explanation:
The formula for variation in the value of g due to height h is given by the following relation .
g₁ = g₀ ( 1 - h / R )
g₁ and g₀ are value of acceleration due to gravity at height h from surface and at surface and R is radius of the earth .
R = 6370 km , h = 489 km ( given )
g₁ = g₀ ( 1 - 489 / 6370 )
= .923 g₀
g₁ in percent terms = .923 x 100
= 92.3 % .
Determine the force of gravitational attraction between the Earth and the moon. Their masses are 5.98 x 1024 kg and 7.26 x 1022 kg, respectively
Answer:
[tex]F=1.95\times 10^{20}\ N[/tex]
Explanation:
Mass of Earth, [tex]m_e=5.98 \times 10^{24}\ kg[/tex]
Mass of Moon, [tex]m_m=7.26\times 10^{22}\ kg[/tex]
The distance between Earth and the Moon is, [tex]d=384,400\ km[/tex]
We need to find the force of gravitational attraction between the Earth and the moon. The force of gravity is given by :
[tex]F=G\dfrac{m_em_m}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{5.98 \times 10^{24}\times 7.26\times 10^{22}}{(384400 \times 10^3)^2}\\\\F=1.95\times 10^{20}\ N[/tex]
So, the required force is [tex]1.95\times 10^{20}\ N[/tex].
How is property belonging to individuals protected under the Fifth Amendment?
By preventing the government from taking property without fair payment.
By preventing a police search of private property without a warrant
By prohibiting the quartering of soldiers without permission
By guaranteeing every citizen the right to apply for a home loan
Answer:
By preventing the government from taking property without fair payment.
Explanation:
Answer 1
Please mark me as brilliant and thank you
Answer:
this is under the wrong section
George burnt his fingertips so badly that he can't feel anything with them anymore.
Which part of his skin must have been damaged?
O papillary layer
Hypodermis
hyperdemis
subcutaneous layer
George burnt his fingertips so badly that he can't feel anything with them anymore, then the papillary layer part of his skin must have been damaged, therefore the correct answer is option A.
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
As given in the problem George burnt his fingertips so badly that he can't feel anything with them anymore.
Option A is the appropriate response since George must have injured the papillary layer of his skin if his fingertips were burned so badly that he can no longer feel anything with them.
Learn more about thermal energy here, refer to the link given below ;
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A man pushes a 10 kg box a distance of 5 m for 3 hours. How much work
did the man complete?*
Answer:
alot
Explanation:
cuz he pushed for a long time
If California experienced drought, which system would be responsible for it and WHY?
Answer:
California has one of the most variable climates of any U.S state, and often experiences very wet years followed by extremely dry ones . The state's reservoirs have insufficient capacity to balance the water supply between wet and dry years
Explanation:
PLEASE MARK ME AS BRAINLIEST
A motorcycle moving 18.8 m/s has
57800 J of KE. What is its mass?
Answer:
m = 327.07 kg
Explanation:
Given that,
Kinetic energy of a motorcycle, E = 57800 J
Velocity of the motorcycle, v = 18.8 m/s
We need to find the mass of the motorcycle. The kinetic energy of an object is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
m is mass
[tex]m=\dfrac{2E}{v^2}\\\\m=\dfrac{2\times 57800 }{(18.8)^2}\\\\m=327.07\ kg[/tex]
So, the mass of the motorcycle is 327.07 kg.
ASAP what causes the earth to orbit just like Mars
Answer:
Like all the planets in our solar system, Earth and Mars orbit the sun. But Earth is closer to the sun, and therefore races along its orbit more quickly. Earth makes two trips around the sun in about the same amount of time that Mars takes to make one trip.