The amount of static and kinetic friction force available to the wheels, given the mass of the train and the coefficient of friction on dry steel is:
Static friction force - 755,662.8 NKinetic friction force - 714, 400 NHow to find the static and kinetic force ?To find the static and kinetic friction force available to the wheels, we need to first calculate the normal force acting on the train, which is equal to the gravitational force acting on it.
Calculate the normal force (N):
Mass (m) = 188,000 kg
Gravitational acceleration (g) = 9.81 m/s²
Normal force (N) = m × g = 188,000 kg × 9.81 m/s² = 1,843,080 N
Calculate the static friction force (Fs):
Static friction coefficient (μs) = 0.41
Static friction force (Fs) = μs × N = 0.41 × 1,843,080 N= 755,662.8 N
Calculate the kinetic friction force :
Kinetic friction coefficient (μk) = 0.38
Kinetic friction force = μk × N = 0.38 × 1,843,080 N = 714, 400 N
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if a magnitude of frequency of simple pendulum on Earth surface was(0.263Hz) What is the period for this pendulum at the same place on Earth surface?
Answer:
The period of a simple pendulum is the time it takes for the pendulum to complete one full swing. This is equal to the reciprocal of the frequency, which means that if the frequency of a simple pendulum is 0.263 Hz, its period would be 1/0.263 = 3.80 seconds. This is the time it would take for the pendulum to swing back and forth once at the same location on the Earth's surface.
Explanation:
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After initially picking the stone up off the ground, a man exerts a 148 N force upwards on a 10 kg stone. What is the acceleration of the stone?
Answer:
5m/s²
Explanation:
The force exerted on an object is calculated using the formula ;
F = ma
Note that the upward force (F) is 148N
Where;
F = force (N)
m = mass (kg)
a = acceleration (m/s²)
The downward force towards gravity is F' = mg
F' = 10 × 9.8m/s²
F' = 98N
Net force (F - F') = m × a
148 - 98 = 10 × a
50 = 10a
a = 50/10
a = 5m/s²
Two 22.7 kg ice sleds initially at rest, are placed a short distance apart, one directly behind the other, as shown in Fig. 1. A 3.63 kg cat, standing on the left sled, jumps across to the right one and immediately comes back to the first. Both jumps are made horizontally at a speed of 3.05 m/s relative to the ice. Ignore the friction between the sled and ice.
(a) Find the final speeds of the two sleds. [6 marks]
(b) Calculate the impulse on the cat as it lands on the right sled. [2 marks]
(c) Find the average force on the right sled applied by the cat while landing. Consider that the cat takes 12 ms to finish the landing.
Newton's third law of motion sates that force is directly proportional to the rate of change of momentum produced
(a) The final speeds of the ice sleds is approximately 0.49 m/s each
(b) The impulse on the cat is 11.0715 kg·m/s
(c) The average force on the right sled is 922.625 N
The reason for arriving at the above values is as follows:
The given parameters are;
The masses of the two ice sleds, m₁ = m₂ = 22.7 kg
The initial speed of the ice, v₁ = v₂ = 0
The mass of the cat, m₃ = 3.63 kg
The initial speed of the cat, v₃ = 0
The horizontal speed of the cat, v₃ = 3.05 m/s
(a) The required parameter:
The final speed of the two sleds
For the first jump to the right, we have;
By the law of conservation of momentum
Initial momentum = Final momentum
∴ m₁ × v₁ + m₃ × v₃ = m₁ × v₁' + m₃ × v₃'
Where;
v₁' = The final velocity of the ice sled on the left
v₃' = The final velocity of the cat
Plugging in the values gives;
22.7 kg × 0 + 3.63 × 0 = 22.7 × v₁' + 3.63 × 3.05
∴ 22.7 × v₁' = -3.63 × 3.05
v₁' = -3.63 × 3.05/22.7 ≈ -0.49
The final velocity of the ice sled on the left, v₁' ≈ -0.49 m/s (opposite to the direction to the motion of the cat)
The final speed ≈ 0.49 m/s
For the second jump to the left, we have;
By conservation of momentum law, m₂ × v₂ + m₃ × v₃ = m₂ × v₂' + m₃ × v₃'
Where;
v₂' = The final velocity of the ice sled on the right
v₃' = The final velocity of the cat
Plugging in the values gives;
22.7 kg × 0 + 3.63 × 0 = 22.7 × v₂' + 3.63 × 3.05
∴ 22.7 × v₂' = -3.63 × 3.05
v₂' = -3.63 × 3.05/22.7 ≈ -0.49
The final velocity of the ice sled on the right = -0.49 m/s (opposite to the direction to the motion of the cat)
The final speed ≈ 0.49 m/s
(b) The required parameter;
The impulse of the force
The impulse on the cat = Mass of the cat × Change in velocity
The change in velocity, Δv = Initial velocity - Final velocity
Where;
The initial velocity = The velocity of the cat before it lands = 3.05 m/s
The final velocity = The velocity of the cat after coming to rest =
∴ Δv = 3.05 m/s - 0 = 3.05 m/s
The impulse on the cat = 3.63 kg × 3.05 m/s = 11.0715 kg·m/s
(c) The required information
The average velocity
Impulse = \(F_{average}\) × Δt
Where;
Δt = The time of collision = The time it takes the cat to finish landing = 12 ms
12 ms = 12/1000 s = 0.012 s
We get;
\(F_{average} = \mathbf{\dfrac{Impulse}{\Delta \ t}}\)
∴ \(F_{average} = \dfrac{11.0715 \ kg \cdot m/s}{0.012 \ s} = 922.625 \ kg\cdot m/s^2 = 922.625 \ N\)
The average force on the right sled applied by the cat while landing, \(\mathbf{F_{average}}\) = 922.625 N
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If the angle of incidence of a ray of light is 50 degrees, what would the angle of reflection
be?
Bii). If the angle of incidence of a ray of light is 45 degrees, what would the angle of reflection?
Answer:
Title) 50 (Bii) 45
Explanation:reflection, same angle as incidence
Answer:45
Explanation:
You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?
A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.
Answer:
C) The book's inertia carried it forward.
When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.
6.
least 2 m. If the same car is moving with the speed 80K/h,what is the minimum stopping distance?
A car moving with a speed of 40 km/h can be stopped by applying the brakes after at-
The minimum stopping distance of the car is determined as 8 m.
What is the minimum stopping distance?The minimum stopping distance of the car is calculated as follows;
d = (u²)/(2a)
where;
d is the minimum stopping distanceu is the initial velocitya is the acceleration of the carwhen the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s
2 = (11.11²)/(2a)
a = (11.11²)/(2 x 2)
a = 30.86 m/s²
when the speed becomes 80 km/h, the minimum stopping distance is calculated as;
u = 80 km/h = 22.22 m/s
d = (22.22² )/ (2 x 30.86)
d = 8 m
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Witch force is represented by arrow at c?
Answer:
did u know there's no such thing as "pear cider."
Explanation:
Q) Considering the value of ideal gas constant in S.I. unit, find the volume of 35g O2 at 27°C and 72
cm Hg pressure. Later, if we keep this pressure constant, the r.m.s velocity of this oxygen molecules
become double at a certain temperature. Calculate the value of this temperature.
Answer:
V = 0.0283 m³ = 28300 cm³
T₂ = 1200 K
Explanation:
The volume of the gas can be determined by using General Gas Equation:
PV = nRT
where,
P = Pressure of Gas = (72 cm of Hg)(1333.2239 Pa/cm of Hg) = 95992.12 Pa
V = Volume of Gas = ?
n = no. of moles = mass/molar mass = (35 g)/(32 g/mol) = 1.09 mol
R = General Gas Constant = 8.314 J/ mol.k
T = Temperature of Gas = 27°C + 273 = 300 k
Therefore,
(95992.12 Pa)(V) = (1.09 mol)(8.314 J/mol.k)(300 k)
V = 2718.678 J/95992.12 Pa
V = 0.0283 m³ = 28300 cm³
The Kinetic Energy of gas molecule is given as:
K.E = (3/2)(KT)
Also,
K.E = (1/2)(mv²)
Comparing both equations, we get:
(3/2)(KT) = (1/2)(mv²)
v² = 3KT/m
v = √(3KT/m)
where,
v = r.m.s velocity
K = Boltzamn Constant
T = Absolute Temperature
m = mass of gas molecule
At T₁ = 300 K, v = v₁
v₁ = √(3K*300/m)
v₁ = √(900 K/m)
Now, for v₂ = 2v₁ (double r.m.s velocity), T₂ = ?
v₂ = 2v₁ = √(3KT₂/m)
using value of v₁:
2√(900 K/m) = √(3KT₂/m)
4(900) = 3 T₂
T₂ = 1200 K
In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O
is shown.
Through which point will this ray pass, after refraction by the lens?
The point through which this ray will pass, after refraction by the lens is point D.
What is refraction of light?The refraction of light refers to the bending or change in direction that occurs when light passes from one medium to another. It is a phenomenon that happens due to the difference in the speed of light in different substances.
From the ray diagram given, after the light incident from point O, it will pass the converging at point D which is the focal length of the lens after refraction.
Thus, based on the converging lens given in the ray diagram, we can conclude that, the point through which this ray will pass, after refraction by the lens is point D.
So point D is the correct answer.
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You launch a model rocket from ground level. It moves directly upward with a constant acceleration of 71.0 m/s2 for 1.45 seconds, at which point it runs out of fuel. Assuming air resistance on the rocket is negligible, what is the maximum altitude (above the ground) achieved by the rocket?
m
Answer:
74.0 meters
Explanation:
We can use the kinematic equation for displacement with constant acceleration to solve this problem:
Δy = v0t + 1/2at^2
where Δy is the displacement (i.e., the change in height), v0 is the initial velocity (which is 0), a is the constant acceleration, and t is the time taken.
Plugging in the given values, we get:
Δy = 0 + 1/2(71.0 m/s^2)(1.45 s)^2
Δy = 74.0 m
Therefore, the maximum altitude achieved by the rocket is 74.0 meters above the ground.
if soap falls on the floor is the floor clean or is the soap dirty
Answer:
both
the cleen soap is falling on a nasty floof cleans the floor and gets dirty
Explanation:
Answer:
UH UH
Explanation:
a rectangular loop of wire has area A it is placed perpendicular to a uniform magnetic field B and spun around one of its side at frequency f the maximum induced emf is
When a rectangular loop of wire has area A it is placed perpendicular to a uniform magnetic field B and spun around one of its sides at frequency f the maximum induced emf is 2πBAf
What is a magnetic field?A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.
The maximum induced emf is 2πBAf when a rectangular wire loop of area A is spun around one of its sides at frequency f, perpendicular to a uniform magnetic field B.
therefore the correct answer is option C
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Your question seems incomplete, the complete question is as follows
A rectangular loop of wire has area A. It is placed perpendicular to a uniform magnetic field B and then spun around one of its sides at frequency f. The maximum induced emf is:
A. BAf
B. 4πBAf
C. 2πBAf
D. 2BAf
A hare can run at a rate of 15 m/s, while a turbocharged tortoise can now crawl at a rate of 3 m/s, how much of a head-start (time-wise) does the tortoise need in order to tie the hare in a 250 meter race?
A.
16.7 seconds
B.
66.7 seconds
C.
83.3 seconds
D.
100 seconds
Answer:
t = 66.7 s
Explanation:
Given that,
Speed of a hare, v = 15 m/s
Speed of a turbocharged tortoise, v' = 3 m/s
The hare in a 250 meter race
Let the Hare takes time t. It can be calculated as follows :
\(t=\dfrac{250}{15}=16.67\ s\)
Let a turbocharged tortoise takes t'. It can be calulated as follows :
\(t'=\dfrac{250}{3}= 83.33\ s\)
To tie the race, required time is given by :
\(\Delta t = t'-t\\\\=83.33-16.67\\\\=66.66\ s\\\\\approx 66.7\ s\)
Hence, the correct option is (b) i.e. 66.7 seconds.
uniform solid sphere has a mass of 1.765 kg and a radius of 0.854 m.a. Find the torque required to bring the sphere from rest to an angular velocity of 317 rad/s, clockwise, in 15.5 s.b. What magnitude force applied tangentially at the equator would provide the needed torque
Answer:
a) the torque required is 10.53 N-m
b) The magnitude force applied tangentially is 12.33 N
Explanation:
Given the data in the question;
mass m = 1.765 kg
radius r = 0.854 m
first we calculate the moment of inertia;
\(I\) = \(\frac{2}{5}\)mr²
we substitute
\(I\) = \(\frac{2}{5}\) × 1.765 × (0.854)²
\(I\) = 0.514897 kg.m²
a)
Find the torque required to bring the sphere from rest to an angular velocity of 317 rad/s, clockwise, in 15.5 s
ω\(_{initial\) = 0
ω\(_{final\) = 317 rad/s
t = 15.5 s
we know that; ω\(_{final\) = ω\(_{initial\) + ∝t
so we substitute
317 = 0 + ∝(15.5)
∝ = 317 / 15.5
∝ = 20.4514 rad/s²
so
ζ = \(I\) × ∝
we substitute
ζ = 0.514897 × 20.4514
ζ = 10.53 N-m
Therefore, the torque required is 10.53 N-m
b)
What magnitude force applied tangentially at the equator would provide the needed torque.
ζ = F × r
we substitute
10.53 = F × 0.854
F = 10.53 / 0.854
F = 12.33 N
Therefore, magnitude force applied tangentially is 12.33 N
When dry ice appears to be smoking what is actually happening
Answer:
The “smoke” coming from dry ice is actually carbon dioxide gas, which is turning from a solid into a gas.
Explanation:
What type of power plant burns material to make electricity?
O A. Geothermal
OB. Hydroelectric
OC. Fossil fuel
OD. Radiant
The type of power plant burns material to make electricity is Fossil fuel. The correct option is C.
What is energy?Energy is the ability to do work.
There are different kind of energies like kinetic energy, potential energy, gravitational energy and heat energy.
The energy obtained from burning different type of materials like Coal, gas and oil and produces heat.
Fossil fuel power plants burn coal or oil to create heat and generate steam to run turbines which generate electricity.
Thus, the correct option is C.
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If dx denotes the change in position of an object and dt denotes the corresponding time interval, then instantaneous velocity is given by:
Answer:
\(Velocity=\frac{dx}{dt}\)
Explanation:
Remember that instantaneous velocity is just a measure to know the velocity that any object has at any point given in time, so we just need to know the distance it has travel, which would be the change in position, and the time it took that change in position to occurr, this means distance by time, so we just divide dx by dt and we have the solution for instantaneous velocity.
If a change in position as denoted by \(dx\) and \(dt\) change in time, the instantaneous velocity will be given by,
\(v = \dfrac {dx}{dt}\)
What is Velocity?It can be defined by the change in position of the object over time. This is a vector quantity. Vector quantity is a quantity that has both magnitude and direction.Instantaneous velocity:The velocity of the object at a point of time is known as instantaneous velocity. Instantaneous velocity can be calculated by the ratio of change in position to the elapsed point of time.
\(v = \dfrac {dx}{dt}\)
Where,
\(v\) - instantaneous velocity
\(dt\) - change in distance (position)
\(dt\)- change in time
Therefore, if a change in position as denoted by \(dx\) and \(dt\)change in time, the instantaneous velocity will be given by,
\(v = \dfrac {dx}{dt}\)
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How can we get a last beace
What is psychoanalysis
What kind of energy do electric and magnetic fields contain?
A
thermal energy
B
electrical energy
C
kinetic energy
D
pot
Answer:
Electromagnetic waves
Electromagnetic waves bring energy into a system by virtue of their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave itself, whether it is absorbed or not.
So the answer is B electrical energy
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Antarctica is roughly semicircular, with a radius of about r = 2050 km (see figure below). The average thickness of its ice cover is h = 3100 m. How many cubic centimeters of ice does Antarctica contain? (Ignore the curvature of Earth.)
Answer:
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Antarctica is roughly semicircular, with a radius of 2000 km.The average thickness of its ice cover is 3000 m.How many cubic centimetres of ice does Antarctica contain? (Ignore the curvature of Earth.)
1765107
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Hard
Solution
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Verified by Toppr
Area of the Antarctica ice A=π×(R)
2
where, R is the radius .
A=(π×2000×2000)m
2
A=1.257×10
13
m
2
Volume of the ice in Antarctica V=A∗H
where, H is the height
V=(1.257×10
13
×3000)m
3
V=3.77×10
16
m
3
Now, to convert cubic meter to cubic cm
V=3.77×10
16
/10
−6
cm
3
V=3.77×10
22
cm
3
Antarctica contains approximately \(\(5.59447 \times 10^{24}\)\) cubic centimeters of ice.
To calculate the volume of ice that Antarctica contains, we can treat it as a hemisphere (half of a sphere) since it is roughly semicircular and ignore the curvature of the Earth. The formula to calculate the volume of a hemisphere is: \(\[ V = \frac{2}{3} \pi r^3 \]\)
where:
r = 2050 km (convert to meters: \(\( 2050 \, \text{km} \times 1000 \, \text{m/km} = 2,050,000 \) m)\)
h = 3100 m
Let's calculate the volume:
\(\[ V = \frac{2}{3} \pi (2050000 \, \text{m})^3 \]\[ V = \frac{2}{3} \pi (8.41025 \times 10^{18} \, \text{m}^3) \]\)
Now, we need to convert the volume to cubic centimeters since 1 m³ = 1,000,000 cm³:
\(\[ V = \frac{2}{3} \pi (8.41025 \times 10^{18} \, \text{m}^3) \times 1,000,000 \, \text{cm}^3/\text{m}^3 \]\[ V = \frac{2}{3} \pi (8.41025 \times 10^{24} \, \text{cm}^3) \]\)
Now, calculate the final value:
\(\[ V = 5.59447 \times 10^{24} \, \text{cm}^3 \]\)
So, Antarctica contains approximately \(\(5.59447 \times 10^{24}\)\) cubic centimeters of ice.
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Change of state due to cooling is due to
Change of state due to cooling is due to the removal of thermal energy from a substance. A substance changes states, such as from a gas to a liquid or from a liquid to a solid, when its particles lose kinetic energy as it loses heat and moves more slowly. Eventually, the particles reorganize into a more ordered form with less energy. The term "solidification" or "freezing" refers to this process.
Two conducting spheres are each given a charge Q. The radius of the larger sphere is three times greater than that of the smaller sphere. If the electric field just outside of the smaller sphere is E0, then the electric field just outside of the larger sphere is
Answer:
1/9 E0
Explanation:
The computation is shown below:
As we know that
\(E_0 = K \frac{Q}{r2}\)
where,
E = Electric field strength
k = Coulomb's constant
Q = charge on the sphere
r = distance from the center of the sphere
It is given that
The radius of the larger sphere is three times larger than that of the smaller sphere i.e
\(R'=3R\)
\(E'=k\frac{Q}{R'^2}\)
\(=k\frac{Q}{(3R)^2}\)
\(=\frac{1}{9}(k\frac{Q}{R^2})\)
\(=\frac{E_0}{9}\)
hence, the last option is correct
Which organisms were first responsible for depleting carbon dioxide from the atmosphere, replacing it with oxygen?
A) Plants
B) Dinosaurs
C) Cyanobacteria
D) Trilobites
Calculate the reversible work done in compressing 1 ft3 of mercury at a constant temp. of 0 o C from 1 atm to 3000 atm. The isothermal compressibility of mercury at 0 o C is : κ = 3.9 x 10-6 – 0.1 x 10-9 P , where P (atm) and κ (atm-1 ).
Compressibility of a substance is defined as the ratio of volumetric strain to the change in pressure. It is also equal to the reciprocal of the bulk modulus of the substance. It is denoted by K (kappa).
, for an isothermal process.
As we know that, work done for isothermal reversible expansion is given by-
how does temperature affect brownian motion
Answer: This (random) thermal motion of the particles due to the temperature is also called Brownian motion. ... The higher the temperature, the faster the diffusion will be, because the stronger the molecule movement and thus the “mixing”.
Explanation:
The sum of two point charges is -15µC. They attract each other with a force of 9 x 10-2 N when kept 5m apart. Find their charges.
According to the question the two charges are -7.5 µC and -7.5 µC.
What is charges?Charges are fees or payments for services or goods. Charges can be one-time payments, recurring payments, or fees associated with using a product or service. Charges can be for products, services, or activities. Examples of charges include fees for using a credit card, fees for using a bank account, fees for renting a car, fees for using a mobile phone plan, fees for using a subscription service, fees for using a streaming service, and fees for using a gym membership.
Let the two charges be x and ( -15 - x ) µC.
According to Coulomb's law,
F = (k × x × ( -15 - x ))/r2
Where k is the Coulomb's constant,
k = 9 × 109 N × m2/C2
Given, F = 9 × 10-2 N
r = 5 m
Substituting these values in the equation,
9 × 10-2 = (9 × 109 × x × ( -15 - x ))/252
⇒ x2+ 15x - 4.5 × 10-4 = 0
Solving this equation,
x = -7.5 µC and ( -15 - x ) = -7.5 µC
Therefore, the two charges are -7.5 µC and -7.5 µC.
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Jamaica's Veronica Campbell won the women's 200 m race with a time of 22.05 s. At this rate, it would take her 15 minutes to run 5.64 miles. Calculate her
speed in miles/hr.
Answer:bdsh c
Explanation:
Complete this paragraph, which describes an ice cube changing from a solid to a liquid to a gas
An ice cube changing from a solid to a liquid is melting and then to a gas is vaporization.
What is a change of state process?A change of state process describes a process whereby a substance changes from one physical state to another.
The change of state processes are:
melting - solid changing to liquidvaporization - liquid changing to gasTherefore, an ice cube changing from a solid to a liquid is melting and then to a gas is vaporization.
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