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?

Answers

Answer 1

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


Related Questions

please help me with this!!

Answers

Answer:

C

Explanation:

Action and Reaction forces are equal in the opposite direction.

help me
In fig. A rod appears that has a rotating shaft at its left end. Find at the point of the rod must the force 100N act for it to be in equilibrium?​

Answers

Answer:

.

Explanation:

,.....................................

If a wave has a speed of 200 m/s and a frequency of 25Hz, what is the wavelength of the wave?

Answers

Answer:

8m

Explanation:

v=f×lamda i.e wavelength

from the question v=200 m/s, f=25Hz, lamda=?

200=25×lamda

lamda=200/25(if you divide both sides by 25)

therefore, lamda=8Hz

What is the net force acting on a 52 kg object that has a velocity of 8.0 m/s and is moving in a circle of radius 1.6 m? a. 4000N b. 20880N c. 2500N d. 3500N

Answers

Σf = m a
Σf = m v^2 / r
Σf = 52 8^2 / 1.6
Σf = 2080 N
The net force acting of the object will be "2080 N".

Given values are:

Mass, m = 52 kgVelocity, v = 8.0 m/sRadius, r = 1.6 m

As we know the formula,

→ [tex]\Sigma f = ma[/tex]

or,

→ [tex]\Sigma f = \frac{mv^2}{r}[/tex]

By putting the values, we get

         [tex]= \frac{52\times 8^2}{1.6}[/tex]

         [tex]= \frac{52\times 64}{1.6}[/tex]

         [tex]= 2080 \ N[/tex]

Thus the response above is appropriate.

Learn more about force here:

https://brainly.com/question/14109330

When energy is added to an object, it will vibrate at it's...
A. natural frequency
B. Doppler effect
C. nodes
D. wavelength

Answers

Answer:

I think D

Explanation:

if energy is added,it wont stay the same,I beleive D is the only one that makes since,sorry if wrong

determine the density in kg/m3 of a solid whose mass is 40 and whose dimension in centimetre are 30×4×3​

Answers

Answer:

Density = 11.11 kg/m³

Explanation:

Given the following data;

Mass = 40 kg

Dimensions = 30×4×3 = 360 cm³ to m³ = 360/100 = 3.6 m³

Thus, volume = 3.6 m³

Now, we can find the density;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

[tex]Density = \frac{mass}{volume}[/tex]

Substituting into the equation, we have;

Density = 40/3.6

Density = 11.11 kg/m³

A lever of class 1 has a lotal length of 3m and is
able to lift a load of 60N with a force of 30N at a Time Find
the position of the fulcrum.​

Answers

Answer:

Fin Lin = Fo Lo  Work = Work out where in = input and o = output

Fin / Fo = Lo / Lin = 30 / 60 = 1/2   (input force = 1/2 output force)

Lin + Lo = 3

Lo = 3 - Lin

1/2 = (3 - Lin) / Lin    from above

1/2 = 3 / Lin - 1

3 / Lin = 1.5   and Lin = 2

So the input length = 2 m and the output length = 1 m

A renewable resource can be replaced in a relatively short amount of time. Question 4 options: True False

Answers

[tex] \\ [/tex]

TRUE

Renewable resources are natural resources that can be replaced in a relatively short period of time or are virtually limitless in supply. Renewable energy resources include wind, sunlight, moving water, biomass, and geothermal energy.

[tex] \\ [/tex]

Hope It Helps!

Answer:

true

Explanation:

Hoy air always flows up.

true or false?

Answers

Answer:

The answer of the question is False

PLEASE HELP PHYSICS
Wiley coyote pushes a 5kg boulder from an initial height of 10m, the boulder rolls down the hill, across the road, and up the hill on the left. The rock is able to reach a height of 17 m before rolling back down. How fast did Wiley have to push the rock to make this happen?

Answers

Answer:

  v = 11.7 m / s

Explanation:

For this exercise we can use the conservation of energy

starting point. Where you drop the stone

          Em₀ = K + U = ½ m v² + m g h₁

final point. Point where the stone arrives

          Em_f = U = mgh₂

We are assuming that there is no friction, so the energy is conserved

          Em₀ = Em_f

          ½ m v² + m g h₁ = m g h₂

         v² = 2g (h₂-h₁)

let's calculate

         v² = 2 9.8 (17 - 10)

         v = √137.2

         v = 11.7 m / s

HELP MEH I WILL BIVE BRAINLYEST !!
Which aspect of soil characteristics is a soil triangle used for? (10 points)
Group of answer choices

Determining color

Determining types of soils

Separating soils by grain size

Determining soil conservation techniques

Answers

Answer:

The correct answer is Separating soils by grain size. Among all the other choices, this is the aspect of soil characteristics in which a soil triangle is used for.

Explanation:

Sam studied kinetic and potential energy by observing apples on a tree during a field investigation. Explain what type of energy these apples have.

Answers

Answer:

Gravitational Potential Energy

Explanation:

A dishwasher has a power of 1 kW. It is used for 2 hours. How much energy will it transfer?

Answers

Energy, E
= P t
= (1 kJ/s) × (2 × 3600 s)
= 7200 kJ

Answer:2kwh

Explanation:


The length of the track itself is 500m. The vehicles (each of mass 15kg) are dragged
along the track back to the top of the ride in stacks of 4. The force required to drag
them at constant speed is 200N
Use an equation from page 2 to calculate the total work done in dragging the stack
back to the start of the ride

Answers

Answer:

W = 100000 J = 100 KJ

Explanation:

Here we will use the most basic and general formula of work, which is as follows:

[tex]W = Fd[/tex]

where,

W = Work Done = ?

F = Force Required = 200 N

d = Length of Track = 500 m

Therefore,

[tex]W = (200\ N)(500\ m)\\[/tex]

W = 100000 J = 100 KJ

If energy is conserved, then:
O A. initial (PE + KE) = final (PE + KE).
O B. the initial KE must be zero.
O C. the momentum does not change.
O D. PE(before) = KE(before).

Answers

Answer is A mark me brainliest

If energy is conserved, then initial (PE + KE) = final (PE + KE). So, the correct option is A.

What is meant by Law of Conservation of Energy ?

The law of conservation of energy states that, energy can neither be created nor be destroyed, but can be transformed from one form to another.

Here,

According to law of conservation of energy,

The total energy of an isolated system remains constant. That means, the total energy of the system in the initial state will be same as that in the final state.

The total mechanical energy is the sum of kinetic energy and potential energy.

TE = KE + PE

Therefore, the energy to be conserved in the system,

Initial TE = Final TE

So, Initial (KE + PE) = Final (KE + PE)

Hence,

If energy is conserved, then initial (PE + KE) = final (PE + KE).

To learn more about law of conservation of energy, click:

https://brainly.com/question/29775341

#SPJ2

1. How does a lunar eclipse happen?
2. How does a solar eclipse happen?
3. Which one occurs more often?

Answers

Answer:

1.lunar eclipse- happen when Earths shadow block the sun light

2.solar eclipse-A solar eclipse occurs when a portion of the Earth is engulfed in a shadow cast by the Moon which fully or partially blocks sunlight

3. lunar and solar eclipses occur with about equal frequency. Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse. As a result, you are more likely to see a lunar eclipse than a solar eclipse.

Explanation:

How do we find work from a force-displacement graph when the force exerted
is not constant?

Answers

Answer:

Explanation:

Read forces directly from the graph.

Read displacements directly from the graph.

Use the area under the graph to find the work done by the force. This is equal to the kinetic or potential energy the object gains due to the application of the force.

What part of the atom contains the protons and neutrons?

The atom

The electron cloud

The nucleus

The bottom part

Answers

The nucleus contains them both
The answer: the nucleus

What makes a ship float​

Answers

Answer:

Ships can float because a ship is less dense than that of the water that it floats on.

Explanation:

Hope this helps!

How much force is applied if a 130 kg mass is accelerated at 5 m/s^2​

Answers

Answer:

650N

Explanation:

f = ma

130kg x 5 m/s^2 = 650N

a body has a speed of 80 kilometre per hour how long it will take to travel 120 kilometre​

Answers

Answer:

1.5 hour

Explanation:

Time = distance/speed

Time= 120/80 = 1.5 hour

1.5 I hope this helps :)

The ____ of a machine is the factor by which it multiplies the force applied to the machine.

Answers

The mechanical advantage of a machine is the factor by which it multiplies the force applied to the machine.

if it takes you 20 joules of work to move a couch 10 meters in 10 seconds, what is the power?

Answers

Answer:

Power = 2 j/s

Explanation:

Power = Work / Time

= 20/10

= 2 j/s

explain the coin in water appears to be raised..​

Answers

Answer:

defraction

Explanation:

when light passes from a less dense medium(air) into a dense medium(water) the light rays bend towards the normal. This makes the coin look closer

which one is this one How does the author describe the conditions for women at the Blackfeet Reservation in Montana?

Answers

Answer: b

Explanation:

If two alpha particles (each with two protons and two neutrons) are 0.500 m apart, what is the electric potential energy of the system?

Answers

Answer:

U = 1.84 10⁻²⁷ J

Explanation:

Electric potential energy is

        U = k q₁q₂/ r

in this case the electric charge is

         q = 2 p

         q = 2 1.6 10⁻¹⁹

         q = 3.2 10⁻¹⁹ C

indicate the distance between the charges is 0.500 m

we calculate

         U = 9 10⁹  3.2 10⁻¹⁹  3.2 10⁻¹⁹ /0.500

         U = 1.84 10⁻²⁷ J

If two bodies have different forces but same acceleration and only one force is known how do I find the other one?

Answers

Answer:

Use F = m*a

Explanation:

If you are given the mass of the two different bodies, you could rearrange these equations, plug in the mass of the unknown body to find the unknown force

4. Uncle Harry weighs 180 pounds. What is his mass in kilograms?

Answers

180 pounds (lb) converts to 81.647 kilograms (kg).

Can someone please help me I don’t understand this

Answers

I think it’s a because it the only reasonable answer

A 1500 kg car is being lifted by a hydraulic jack attached to a flat plate. Underneath the plate is a pipe with radius of 24 cm at the top and 2cm at the bottom. To generate an upward acceleration for the car of 1.0 m/s2, how much force must be applied to the small end of the pipe? The answer is NOT 102 N btw

Answers

Answer:

The force that must be exerted at the other end is 102.08 N/m₂

Explanation:

Using Pascal's formula; P₁ = P₂

P₁ = F₁/A₁ = m*g/(πr²)

m = 1500 kg; g = 9.8 m/s², r = 24 cm = 0.24 m

P₁ = (1500 * 9.8)/(22/7 * 0.24 * 0.24)

P₁ = 81235 N/m²

P₂ = F₂/A₂

A₂ = πr² where π = 22/7; r = 2.00 cm = 0.02m

A₂ = 22/7 * 0.02 * 0.02 = 0.00126 m²

P₂  = F₂ / 0.00126 m₂

substituting in the formula  P₁ = P₂

81235 N/m² =  F₂ / 0.00126 m²

F₂ = 81235 N/m² * 0.00126 m²

F₂ = 102.08 N/m₂

Explanation:

Answer:Why does water stop flowing out of the top hole even before the water level falls ... Calculate pressure on the bottom of the pool due to the water. 3. ... 2. If the ratio of A2 to A1 was 100, what force would be required to lift a 10000 N car? ... A cylinder with a radius of 11 cm and a height of 3.4 cm has a mass of 10.0 kg. a.

Explanation:

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