A train traveling at a constant speed rounds a curve of radius 225 m . A lamp suspended from the ceiling swings out to an angle of 14.5 ∘ throughout the curve. What is the speed of the train?
Answer:
[tex]v = 23.88m/s[/tex]
Explanation:
Given
[tex]r = 225m[/tex]
[tex]\theta = 14.5^\circ[/tex]
Required: Determine the speed of the train
To solve this question, we apply the concept of tension.
Let the tension on the cord be T.
Tension is calculated as:
[tex]T = mg[/tex]
So, the tensions acting on the system are:
[tex]T*sin(\theta) = \frac{mv^2}{r}[/tex] and
[tex]T*cos(\theta) = mg[/tex]
Divide the equations by one another
[tex]\frac{T*sin(\theta)}{T * cos(\theta)} = \frac{mv^2}{mgr}[/tex]
[tex]\frac{sin(\theta)}{cos(\theta)} = \frac{v^2}{gr}[/tex]
[tex]tan(\theta) = \frac{v^2}{gr}[/tex]
Make v^2 the subject
[tex]v^2 = grtan(\theta)[/tex]
Take the square root of both sides
[tex]v = \sqrt{grtan(\theta)[/tex]
Substitute values for g (9.8), r 225 and [tex]\theta[/tex] (14.5)
[tex]v = \sqrt{9.8 * 225 * tan(14.5^\circ)}[/tex]
[tex]v = \sqrt{9.8 * 225 * 0.2586}[/tex]
[tex]v = \sqrt{570.213}[/tex]
[tex]v = 23.88m/s[/tex]
Hence, the trains' velocity is approximately 23.88m/s
Bedrock that is closer to oceanic ridges is younger in age than bedrock that is farther away. What can best be concluded from this
information
Need help with these 2 questions please !!!!!!! ASAP
How do the electrons move in a metal that is magnetized?
Answer:
A attractive field pulls and pushes electrons in certain objects closer to them, making them move. Metals like copper have electrons that are effortlessly moved from their circles. In case you move a magnet rapidly through a coil of copper wire, the electrons will move - this produces power.
pls help me with this
Answer:
I can't see it because it's too blury. try to search it
It is recommended that children have no more than two sets of dental X-rays per year. Although X-rays have many benefits, they can be dangerous to human health because they are
Although X-rays have many benefits, they can be dangerous to human health because they are short wavelength, high frequency, with photons sufficiently energetic to damage DNA molecules.
Question 7 of 15
Solids have a definite shape and volume.
A. True
B. False
SUBI
Answer:
A. True it's right solids have a definite shape and volume.
write an essay about the Paralympic and Special Olympic Essay 100 points
soooo
Explanation:
dont know
Answer:
Its 50 points for me but ok 100 4 u nice uh... here. Bringing the 1996 Summer Olympic Games to Atlanta was a long shot. Athens, Greece, was the sentimental favorite to host the centennial games, and tension was palpable as IOC President Juan Antonio Samaranch made the announcement back on Sept. 18, 1990.
"The International Olympic Committee has awarded the 1996 Olympic Games to the city of ... Atlanta," Samaranch revealed.
That announcement launched more than $1 billion of construction projects, from Olympic venues to housing for the athletes. Now, on the 15th anniversary of the games, Atlanta sees both gains and losses from the international event. Bringing the 1996 Summer Olympic Games to Atlanta was a long shot. Athens, Greece, was the sentimental favorite to host the centennial games, and tension was palpable as IOC President Juan Antonio Samaranch made the announcement back on Sept. 18, 1990.
"The International Olympic Committee has awarded the 1996 Olympic Games to the city of ... Atlanta," Samaranch revealed.
That announcement launched more than $1 billion of construction projects, from Olympic venues to housing for the athletes. Now, on the 15th anniversary of the games, Atlanta sees both gains and losses from the international event.
One of the most prominent legacies of the games is Centennial Olympic Park in the heart of Atlanta. The 21-acre plaza glistens in what was an area of urban decay, and children run and linger in the fountain.
Harvey Newman, a professor of public policy at Georgia State University, says the park brought economic development downtown.
"The area surrounding the park has added major hotels, condominiums, new office structures and, of course, people continue to flock to enjoy the Olympic rings fountain," Newman says.
Explanation:
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Object 1 starts at 5.4m and moves with a velocity of 1.3m/s. Object 2 starts at 8.1m and moves with a velocity of -2.2m/s. At what time will these two objects collide. *
PLEASE A GOOD ANSWER. IM NEED HELP RN
Answer:
The time after which the two objects will collide is approximately 0.77 seconds
Explanation:
Given that Object 1 and Object 2 start from a point relative to a common reference location, and have the following parameters;
The location Object 1 starts from = 5.4 m from the reference location
The velocity of Object 1, v₁ = 1.3 m/s
The location Object 2 starts from = 8.1 m from the reference location
The velocity of Object 2, v₂ = -2.2 m/s (the direction of the velocity is opposite to the direction of v₁)
Therefore, the distance between Object 1 and Object 2 when they start, 'd', is given as follows;
d = 8.1 m - 5.4 m = 2.7 m
At the time, 't', that elapse when the two objects collide, and given that the objects are moving in opposite direction, we have;
v₁·t - v₂·t = d
Plugging in the values of the variables, we get;
1.3 m/s × t - (-2.2 m/s) × t = 2.7 m
∴ t × (1.3 m/s + 2.2 m/s) = t × 3.5 m/s = 2.7 m
t = 2.7 m/(3.5 m/s) = (27/35) s = [tex]0.7 \overline{714285}[/tex] s ≈ 0.77 s
The time after which the two objects will collide, t ≈ 0.77 seconds.
Find the total current, I and the voltage across each components? Show all the workings clearly.
Explanation:
unable to understand ur question,,,sry!
What is the energy required to change 600g of liquid into steam if the specific heat latent is 4000 J/kg
Answer:
2400 J
Explanation:
Latent heat: This is also called hidden heat, it is the heat that is not detectable by the thermometer.
From the question,
Q = cm.................. Equation 1
Where Q = Energy, c = specific latent heat of the liquid, m = mass of the liquid.
Given: c = 4000 J/kg, m = 600 g =( 600/1000) kg = 0.6 kg
Substitute these values into equation 1
Q = 4000×0.6
Q = 2400 J
Hence the energy required is 2400 J
What is the momentum of a 750-kg Volkswagen Beetle when at rest? Value: Unit:
Answer:
p = 0
Explanation:
Given that,
Mass of beetle, m = 750 kg
It was rest. It means its speed is equal to 0.
The momentum of an object is equal to the product of mass and velocity. So,
p = mv
p = 750 × 0
p = 0 kg-m/s
So, the momentum of the beetle is 0 kg-m/s.
A string can withstand a force of 135 N before breaking. A 2.0 kg mass is tied to the string and whirled in a
horizontal circle with a radius of 1.10 m. What is the maximum speed that the mass can be whirled at before
the string breaks?
The mass would have centripetal acceleration a given by
a = v ² / R
where
v = tangential speed of the mass
R = length of the string
By Newton's second law, a maximum tension of F = 135 N would apply an acceleration of
135 N = (2.0 kg) a → a = 67.5 m/s²
which requires a tangential speed v of
67.5 m/s² = v ² / (1.10 m) → v = √((67.5 m/s²) (1.10 m)) ≈ 8.62 m/s
what is the mass of 3 m3 of a substance having density 1200 kg/m3
Answer:
3600 kg
Explanation:
From the question,
Density = Mass/Volume
D = M/V.............................. Equation 1
Where D = Density of the substance, M = mass of the substance, V = Volume of the subtance.
Make M the subject of the equation
M = D×V ............................ Equation 2
Given: D = 1200 kg/m³, V = 3 m³.
Substitute these values into equation 2
M = 1200×3
M = 3600 kg.
Hence the mass of the substance is 3600 kg
A 150 N boy rides a 60 N bicycle a total of 200 m at a constant speed. The frictional force against the forward motion of the bicycle equals 35 N. How much work does the boy do? (Hint: Do sum of all forces first.)
Answer:
W = 7000 J
Explanation:
To solve this problem we use that the speed of the bicycle is constant, therefore its acceleration is zero
F -fr = 0
F = fr
where F is the force applied by the child
Work is defined by
W = F. x
W = F x cos θ
in this case the child's force is parallel to the movement, therefore the angle is zero and cos 0 = 1
let's calculate
W = 35 200
W = 7000 J
Water of mass 100 g at a temperature of 100 °C is converted into steam at 100 °C. The specific
latent heat of vaporisation of water is 2300 J/g.
How much thermal energy is absorbed by the water?
0 230 000
0 23 000 000 J
0 230 J
O 23 J
Answer:
The thermal energy absorbed by the water is 230,000 J.
Explanation:
Given;
mass of the water, m = 100 g
The specific latent heat of vaporization of water, L = 2300 J/g
temperature of the steam, θ = 100 °C
The thermal heat capacity or thermal energy absorbed by the water is calculated as follows;
H = mL
H = 100g x 2300J/g
H = 230,000 J
Therefore, the thermal energy absorbed by the water is 230,000 J.
Therefore
Calculate the force acting
on a body whose linear momentum changes by 10 kg m/s
in 5 seconds.
Answer:2n
Explanation:10/5=2
A projectile of mass 0.2 kg and an initial velocity of 50 m/s collides with the end of a blade attached to a turbine. The rotational inertia of the turbine is 12.5 kg⋅m2 . Assume the loss of energy of the projectile in the collision is completely transferred to the blades, causing them to spin. If the final rebound velocity of the projectile after hitting a turbine blade is −25 m/s , which of the following is most nearly the rotational velocity of the turbine after the collision?
Answer:
5.5 rad/sec
Explanation:
Answer:
5.47 rad/s
Explanation:
We can solve this problem using the principle of conservation of energy and angular momentum.
First, let's find the initial kinetic energy of the projectile:
K1 = (1/2) * m * v1^2
= (1/2) * 0.2 kg * (50 m/s)^2
= 250 J
where v1 is the initial velocity of the projectile.
Next, let's find the final kinetic energy of the projectile:
K2 = (1/2) * m * v2^2
= (1/2) * 0.2 kg * (-25 m/s)^2
= 67.5 J
where v2 is the final velocity of the projectile after the collision.
The loss of energy in the collision is:
ΔK = K1 - K2
= 187.5 J
This energy is transferred to the blades, causing them to spin. Let's assume that all of this energy is converted to rotational kinetic energy of the turbine.
The final rotational kinetic energy of the turbine is:
K_rot = (1/2) * I * ω^2
where I is the moment of inertia of the turbine and ω is the final rotational velocity of the turbine.
Using the conservation of energy, we can equate the loss of kinetic energy in the collision to the gain in rotational kinetic energy of the turbine:
ΔK = K_rot
187.5 J = (1/2) * 12.5 kg m^2 * ω^2
ω^2 = (2 * 187.5 J) / (12.5 kg m^2)
ω^2 = 30
ω = 5.47 rad/s
Therefore, the rotational velocity of the turbine after the collision is 5.47 rad/s.
what is types of motion
Answer:
In the world of mechanics, there are four basic types of motion. These four are rotary, oscillating, linear and reciprocating. Each one moves in a slightly different way and each type of achieved using different mechanical means that help us understand linear motion and motion control
what is someones target heart rate at 70% at age 17
Answer: normal
Explanation:
When an electric current passes through a wire a magnetic field is formed, this is called______________.
A) Atomic force
B) Intermolecular force
C) Electromagnetism
D) Nuclear spin
In a Millikan experiment, a droplet of mass 4.7 x 10^-15 kg floats in an electric field of 3.20 x 104 N/C.
a. What is the force of gravity on this droplet?
b. What is the electric force that balances it?
c. What is the excess charge?
d. How many excess electrons are there on this droplet?
Answer:
a. The force of gravity on the droplet is approximately 4.606 × 10⁻¹⁴ Newtons
b. The electric force that balances the force of gravity is approximately -4.606 × 10⁻¹⁴ Newtons
c. The excess charge is approximately -1.439375 × 10⁻¹⁸ C
d. There are approximately 9 excess electrons on the droplet
Explanation:
The parameters of the Millikan experiment are;
The mass of the droplet, m = 4.7 × 10⁻¹⁵ kg
The electric field in which the droplet floats, E = 3.20 × 10⁴ N/C
a. The force of gravity on the droplet, F = The weight of the droplet, W = m × g
Where;
g = The acceleration due to gravity ≈ 9.8 m/s²
W = 4.7 × 10⁻¹⁵ kg × 9.8 m/s² = 4.606 × 10⁻¹⁴ Newtons
∴ The force of gravity on the droplet = W = 4.606 × 10⁻¹⁴ Newtons
b. The electric force that balances the force of gravity, [tex]F_v[/tex] = -W = -4.606 × 10⁻¹⁴ Newtons
c. The excess charge is given as follows;
[tex]F_v[/tex] = q·E
∴ The electric force that balances the force of gravity, [tex]F_v[/tex] = q·E = -4.606 × 10⁻¹⁴ N
q·E = -4.606 × 10⁻¹⁴ N
q = -4.606 × 10⁻¹⁴ N/E
∴ q = -4.606 × 10⁻¹⁴ N/(3.20 × 10⁴ N/C) ≈ -1.439375 × 10⁻¹⁸ C
The excess charge, q ≈ -1.439375 × 10⁻¹⁸ C
d. The charge of one electron, e = 1.602176634 × 10⁻¹⁹C
The number of excess electrons in the droplet, n, is given as follows;
n = 1.439375 × 10⁻¹⁸ C/(1.602176634 × 10⁻¹⁹C) = 8.98387212405 electrons
∴ n ≈ 9 electrons.
a. The force of gravity on this droplet is [tex]4.606 \times 10^{-14} \;Newton[/tex]
b. The electric force that balances this droplet is [tex]-4.606 \times 10^{-14} \;Newton[/tex]
c. The excess charge is equal to [tex]-1.44 \times 10^{-18}\;C[/tex]
d. The number of excess electrons that are on this droplet is 9.0 electrons.
Given the following data:
Mass of droplet = [tex]4.7 \times 10^-15 \;kg[/tex]Electric field = [tex]3.20 \times 10^4 \;N/C.[/tex]Scientific data:
Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]Charge of electron = [tex]1.6 \times 10^{-19}\;C[/tex]The parameters of an electric field.a. To calculate the force of gravity on this droplet:
The force of gravity on this droplet is equal to the weight of the droplet and it would be calculated by using this formula:
[tex]F = mg\\ \\ F = 4.7 \times 10^{-15} \times 9.8\\ \\ F = 4.606 \times 10^{-14} \;Newton[/tex]
b. To calculate the electric force that balances this droplet:
The electric force that balances this droplet is equal to the negative weight of the droplet.
[tex]F_e = -mg = -4.606 \times 10^{-14} \;Newton[/tex]
c. To calculate the excess charge:
Mathematically, the excess charge is given by this formula:
[tex]q=\frac{F_e}{E} \\ \\ q=\frac{-4.606 \times 10^{-14}}{3.2 \times 10^4} \\ \\ q=-1.44 \times 10^{-18}\;C[/tex]
d. To calculate the number of excess electrons that are on this droplet:
[tex]n=\frac{1.44 \times 10^{-18}}{1.6 \times 10^{-19}} [/tex]
n = 9.0 electrons
Read more on electric field here: https://brainly.com/question/14372859
Exercising in hot weather can cause what side effects ?
Answer:
dehydration, lots of sweating, heat stroke, heat exhaustion: nausea, dizziness, vomitting, diahreaa, headache
Explanation:
If a car is traveling 103 miles per hour, how many miles and how much time would it take for another car to catch up to them from a complete stop?
Answer:
Required distance is 103 miles and the required time is 1 hour
Explanation:
Given;
speed of the car, v = 103 miles per hour
Speed is the given as the ratio of distance traveled to time taken for the motion.
The distance it will take another car to catch up to them from a complete stop is 103 miles and the time it will take the car is 1 hour.
Therefore, required distance is 103 miles and the required time is 1 hour.
The Himalayas occur at white type of tectonic plate boundary?
Answer:
Explanation:
The Himalayan mountain range and Tibetan plateau have formed as a result of the collision between the Indian Plate and Eurasian Plate which began 50 million years ago and continues today. 225 million years ago (Ma) India was a large island situated off the Australian coast and separated from Asia by the Tethys Ocean.
Why do temperatures on the moons surface vary ncyb more than temperatures on earth
The moon has a lord density than earth
The moons surface has more craters than earth
The moon has no atomsphere
The moon is farther from the sun compared to earth
Answer:
The moon has no atmosphere
Explanation:
The temperatures on the surface of the Moon vary much more than those on Earth because the moon has no atmosphere (third answer in the list), and therefore there are no molecules that could retain residual heat and make the change from day to night a softer transition.
what is spring constant
Answer:
sping constant is the force needed to stretch or compress a string
The formula:
Fs=-kx
Fs= force
k= spring constant
x= amount of extension
8
Select the correct answer.
Which sentence correctly states Boyle's law?
ОА
The pressure on a gas varies inversely with its volume at constant temperature.
OB. The pressure on a gas varies directly with its volume at constant temperature.
Ос.
The pressure on a gas varies directly with its temperature at constant volume.
OD
The pressure on a gas varies inversely with its temperature at constant volume.
OE. The volume of a gas varies directly with its temperature at constant pressure.
Why do we add the masses together after that inelastic collision?
Answer:An inelastic collision is one in which the internal kinetic energy changes (it is not conserved). A collision in which the objects stick together is sometimes called perfectly inelastic because it reduces internal kinetic energy more than does any other type of inelastic collision.People sometimes think that objects must stick together in an inelastic collision. However, objects only stick together during a perfectly inelastic collision. Objects may also bounce off each other or explode apart, and the collision is still considered inelastic as long as kinetic energy is not conserved.
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Explanation:
Please Help!
30. A duck flying due east passes over Atlanta, where the magnetic field of Earth is 5.0 x 10-5 T directed north. The duck has a positive charge of 4.0 x 10-8 C. If the magnetic force acting on the duck is 3.0 x 10-11 N upward, what is the duck's velocity?
Answer:
5 m/s
Explanation:
hope it helps:) u're welcome
The velocity of the duck must be 15 m/s towards the east which is explained below.
Magnetic force:The force on a moving charge with some velocity under a magnetic field is given by:
F = qv×B
here q is the charge on the object
v is the velocity of the object
B is the magnetic field
v×B gives the direction of the force
B is towards the north, and Force is directed upwards, then velocity v should be towards the east.
3×10⁻¹¹ = 4×10⁻⁸× v × 5×10⁻⁵
v = 15 m/s
Learn more about magnetic force:
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