A rollercoaster cart that has a mass of 4500 kg has 67.5 kJ (kilojoules), or 67,500 J (joules), of gravitational potential
energy. What is its height above the ground?
PT.2
The same 4500 kg rollercoaster cart is moving with 63.0 kJ (kilojoules), or 63,000 J (joules), of kinetic energy at the
bottom of its biggest hill. What is its velocity?
Answer: The height of rollercoaster cart above the ground is 1.53 m.
The velocity of rollercoaster cart is 5.29 m/s.
Explanation:
Potential energy is the energy occupied by a substance due to its position. Formula for potential energy is as follows.
P.E = mgh
where,
m = mass of substance
g = gravitational constant = [tex]9.8 m/s^{2}[/tex]
h = height
Substitute the values into above formula as follows.
[tex]P.E = m \times g \times h\\67500 J = 4500 kg \times 9.8 m/s^{2} \times h\\h = \frac{67500 J}{4500 kg \times 9.8 m/s^{2}}\\= 1.53 m[/tex]
Hence, the height of rollercoaster cart above the ground is 1.53 m.
Kinetic energy is the energy occupied by the motion of a substance. Formula for kinetic energy is as follows.
[tex]K.E = \frac{1}{2}m \times v^{2}[/tex]
where,
m = mass of substance
v = velocity of substance
Substitute the values into above formula as follows.
[tex]K.E = \frac{1}{2}m \times v^{2}\\63000 J = \frac{1}{2} \times 4500 kg \times v^{2}\\v^{2} = \frac{63000 J \times 2}{4500 kg}\\v = 5.29 m/s[/tex]
Hence, the velocity of rollercoaster cart is 5.29 m/s.
Which type of reaction is this?
CH3COOH + H20 2 H+ + CH3C00
Answer:
dissociation of acetic acid (like vinegar) in water
Explanation:
CH3COOH is basically vinegar (aka acetic acid)
dissociation of acetic acid in water
so when you put vinegar in water it makes 2 hydrogen ions (H+) and acetate ( CH3C00 ) a chemical that used in making film
can em waves travel at the speed of light?
true or false
Answer:
f nothing can move faster than spped of light.
Explanation:
Which device requires an electric power supply?
A. A motor
B. A generator
C. A turbine
O D. A permanent magnet
Answer:
A. A motor
Explanation:
a.
[tex]x + y = 0 \\ y = {x}^{2} + 2xy[/tex]
can any one tell this answer with dafination and all steps
Answer:
The system has two solutions:
(1, -1) and (0, 0)
Explanation:
We have the system of equations:
x + y = 0
x = x^2 + 2*x*y
To solve this, the first step is to isolate one of the variables in one of the equations, I will isolate x on the first one.
x = -y
Now we can replace this on the other equation, to get:
x = x^2 + 2*x*y
(-y) = (-y)^2 + 2*(-y)*y
Now we can solve this equation for y.
-y = y^2 - 2*y^2
-y = -y^2
y^2 - y = 0
We can solve this using the Bhaskara's formula:
The solutions are then:
[tex]y = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*1*0} }{2*1} = \frac{1 \pm 1}{2}[/tex]
Then the two possible solutions are:
y = (1 + 1)/2 = 1
and
y = (1 - 1)/2 = 0
Suppose that we take the first one, y = 1.
Then the solution for x is given by "x = -y"
Then:
x = -1
This means that one solution of the system is (-1, 1)
If we take the other solution for y, y = 0
The value of x will be:
x = -y = -0 = 0
Then another solution of the system is (0, 0)
the series circuit shown below, what would happen if one of the light bulbs and its attached wire segment were removed?
Series circuit
A. The remaining lights would go out.
B. The remaining lights would shine with the same brightness.
C. The remaining lights would shine less brightly.
D. The remaining lights would get brighter.
Answer: A) The remaining lights would go out.
Answer:
The remaining lights would shine with the same brightness.
Explanation:
Answer:
A. The remaining lights would go out.Explanation:
I included proof that A is the right answer. Hope this helps!
लाइ फ्युजका
4
Why MCB is called the developed form of fuse? Give the reason
Miniature circuit breakers is called the developed form of fuse because MCBs are more sensitive to current than fuses. They immediately detect any abnormality and switch off the electrical circuit automatically. This prevents any permanent damage to electrical appliances and human beings
What are results from High Blood pressure?
Answer:
Explanation:
It can cause damage to the blood vessels. It Can cause heart failure, vision loss, stroke, kidney disease, and other health problems.
Hope this helps!!!
Bajo la acción del viento una puerta gira un ángulo de 90° en 5 s. Calcular su velocidad angular y la velocidad lineal de los puntos del borde
si el ancho de la puerta es de 50 cm. R. 0,314 rad/s, 0,157 m/s.
Which is a leading theory for the formation of fossil fuels?
Answer:
The most widely accepted theory for the formation of fossil fuel is that fossil fuel was formed over time from decaying organic matter. Organisms died and were buried in the ground millions of years ago.
Explanation:
g00gle answer! so change it up a little :P
hope this helps :)
A 50,000 kg train is rolling on its own down the track at 5 m/s. You grab the rope trailing behind it, and exert a stopping force of 2000 N. How long does it take to stop the train?
Answer:
t = 125 seconds
Explanation:
Given that,
The mass of a train, m = 50,000 kg
Initial speed, u = 5 m/s
Stopping force, F = 2000 N
We know that,
Force, F = ma
Where
a is acceleration
[tex]F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{50000(0-5)}{-2000}\\\\t=125\ s[/tex]
So, it will take 125 seconds to stop the car.
Erosion and Weathering can cause changes in earths surface but how does erosion alone changes the earth surface.
Answer:
The action of erosion alone can change the earth's surface. Erosion can wash away nutrients on the earth's surface, change the appearance of the soil of a particular area over time, can bore holes, that form caves, change landscapes for example when the earth is hit with gully erosion by continuous water runoff over time. Erosion can move soil to a new area.
Explanation:
Weathering involves breaking down rock into smaller pieces without any form of formal movement of those broken rock pieces. These processes that can lead to weathering are caused by mechanical, chemical, and organic processes which can happen over time. Erosion can now move broken rock pieces or soil to another place by water or wind. Weathering and erosion constantly change the Earth's surface.
True or false. There is only an induced voltage in a coil of wire if the magnetic flux through the coil of wire changes.
( Science) Do you think seismographs predict earthquakes or measure earthquakes? Explain your answer.
Answer:
No. Neither the USGS nor any other scientists have ever predicted a major earthquake. We do not know how, and we do not expect to know how any time in the foreseeable future. USGS scientists can only calculate the probability that a significant earthquake will occur in a specific area within a certain number of years.
Answer:
No. Neither the USGS nor any other scientists have ever predicted a major earthquake. We do not know how, and we do not expect to know how any time in the foreseeable future. USGS scientists can only calculate the probability that a significant earthquake will occur in a specific area within a certain number of years.
Explanation:
5. If a spring with a 40 N/m spring constant is used to push a 10 kg ball to a speed of 2 m/s,
how much must the spring have been compressed assuming no energy is lost?
By compressing the spring a distance x (in m), you are storing 1/2 k x ² (in J) of potential energy, which is converted completely into kinetic energy 1/2 m v ², where
• k = 40 N/m = spring constant
• m = 10 kg = mass of the ball
• v = 2 m/s = ball's speed (at the moment the spring returns to its equilibrium point)
So we have
1/2 k x ² = 1/2 m v ²
x = √(m/k v ²) = √((10 kg) / (40 N/m) (2 m/s)²) = 1 m
The moist bread becomes mouldy after a few days when it is left in a container with a cover. Which of the following conditions favour the growth of the fungus?
Answer: Moisture and food (bread)
Explanation:
Mould grows best in humid, damp air/wet conditions.
Since the bread is moist it will provide humidity for the mould as well as food.
A container with a cover would not be a favoring condition as mould needs oxygen to grow and survive.
Describe the crust (in more than 1 sentence). Include a discussion of how the temperature changes on the crust.
Solution :
Crust
In the field of geology, the crust may be defined as the outermost solid shell of a planet. It forms the topmost outer hard layer of the earth surface. Earth has three layers. They are the crust, mantle and the core.
When we go deeper and deeper inside the earth's crust, the temperature rise. In the crust, on the surface of the earth, the temperature is normal and is atmospheric. As we go deep down the core, the temperature rise and it is highest at the core where all the rock and the iron is in the form of the molten lava.
According to the Geologist, beneath the earth's crust, for every mile we go inside the temperature rises by 15 degree Fahrenheit.
A piece of stone weigh 90 grams. When it lowered in measuring cylinder containing water. The final volume of water is 30 cubic centimetres. Calculate the density of the stone.
Answer:
3 gm / cm^3
Explanation:
Density = weight / volume
90 / 30 = 3 gm/cm^3
Which statement is correct about waves?
A. All waves move at the same speed in any
medium.
B. Waves carry the energy but do not carry the matter.
C. Waves must always move from one place to another.
D. Sound waves have more energy than light waves.
Answer:
b is the correct answer
Explanation:
What is the potential energy of a ball that weighs 3kg and is at a height of 3m from the ground?
Answer:
88.2 J (I put 10kg instead of 3kg last time oops)
Explanation:
https://www.calculatorsoup.com/calculators/physics/gravitational-potential.php
Answer:
[tex]\boxed {\boxed {\sf 88.2 \ Joules}}[/tex]
Explanation:
Potential energy is energy due to position. It is the product of the object's mass, height, and the gravitational acceleration.
[tex]E_p= m \times \ g \times h[/tex]
The mass of the ball is 3 kilograms and the height is 3 meters. Assuming this is on Earth, the gravitational acceleration is 9.8 meters per square second.
m= 3 kg g= 9.8 m/s²h=3 mSubstitute these values into the formula.
[tex]E_p= 3 \ kg \times 9.8 \ m/s^2 \times 3 \ m[/tex]
Multiply the first two numbers.
[tex]E_p=29.4 \ kg*m/s^2 \times 3 \ m[/tex]
Multiply again.
[tex]E_p= 88.2 \ kg*m^2/s^2[/tex]
1 kilogram square meter per square second is equal to 1 Joule. Our answer of 88.2 kg*m²/s² is equal to 88.2 Joules[tex]E_p= 88.2 \ J[/tex]
The ball has 88.2 Joules of potential energy.
wheel and excel has co-axial cylinder. true or false
Answer:
True, wheel and excel has co-axial cylinder. true or false.
You can follow me to get more answer.
Answer:
true
Explanation:
yes they have two com xial cylinder and they work together
Answer asap! No links or weird answers pls. Thank you
An object with a mass of 5.4 kg has a force of 20.0 Newton’s applied to it. What is the resulting acceleration?
Answer:
Mass (m) = 5.4 kg
Force (f) = 20 N
Acceleration (a) = ?
Acceleration= m × a
[tex]m \times a \\ = 5.4 \times 20 \\ = 108 \: ms ^{ - 2} [/tex]
=> The resulting acceleration of the object is 108 m/s².
based on the magnetic field lines shown what is the orientation of the mystery magnet ?
A tank of water is 4m deep. How deep does it appear when seen normally?
Answer:
The tank appears to be 3 m deep only. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
Which of the following vehicles has the most kinetic energy? A. a 300kg motorcycle traveling 60km/h B. a 1,100kg car traveling 60km/h C. a 900kg car traveling 80km/h D. a 2000kg truck traveling 50km/h
Explanation:
Kinetic energy of an object is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
Where
m is mass and v is velocity of the object
A. Mass, m = 300 kg.
Speed, v = 60 km/h = 16.67 m/s
[tex]E=\dfrac{1}{2}\times 300\times 16.67^2\\\\=41683.33\ J[/tex]
B. Mass, m = 1100 kg.
Speed, v = 60 km/h = 16.67 m/s
[tex]E=\dfrac{1}{2}\times 1100\times 16.67^2\\\\=152838.89\ J[/tex]
C. Mass, m = 900 kg.
Speed, v = 80 km/h = 22.22 m/s
[tex]E=\dfrac{1}{2}\times 900\times 22.22^2\\\\=222177.78\ J[/tex]
D. Mass, m = 2000 kg.
Speed, v = 50 km/h = 13.88 m/s
[tex]E=\dfrac{1}{2}\times 2000\times 13.88^2\\\\=192654.4\ J[/tex]
The kinetic energy in case C is maximum.
what is nylon?
answer
Answer:
Nylon is a generic designation for a family of synthetic polymers composed of polyamides.
Explanation:
what is frictional less pulley
Answer:
Conditions under which the belt and pulleys are operating – The friction between the belt and pulley may decrease substantially if the belt happens to be muddy or wet, as it may act as a lubricant between the surfaces.
Explanation:
I hope that this would be helpful
Se tiene un objeto que oscila con MAS. Si la amplitud del movimiento es de 15 cm y el periodo es de 2 seg, encontrar las magnitudes de la velocidad y la aceleración cuando: a) x= 0 cm b) x=7,5 cm Por favor, ayúdenme es para hoy :c
Answer:
a) v = 0, a = - 15 pi²
b) v = - 40.8 cm / s, a = -74.2 cm / s
Explanation:
the simple harmonic motion is described by the expression
x = A cos (wt + Ф)
in that case they indicate the amplitude of the movement
A = 15 cm
angular velocity and period are related
w = 2π / T
w = 2π/ 2
w = π rad / s
speed is defined by
v = dx / dt
v = -A w sin (wt + Ф)
acceleration is defined by
a = dv / dt
a = - A w² cos (wt + Ф)
In order to evaluate this expression we must know the value of the phase constant (Ф) that meets the initial conditions, the most common thing is that the system is released, v = 0 for y = 0 s, let's use the speed equation
v = -A w sin (0+ Ф)
for this expression to be zero, the sine must be zero, so
Ф= 0
now let's write the equations for our case
v = - 15 π sin (π t)
a = - 15 π² cos (π t)
a) for x = 0
v = 0
a = - 15 pi²
b) for x = 7.5 cm
Let's find out how long it takes to get to this position
x = 15 cos (π t)
7.5 / 15 = cos π t
pi t = cos⁻¹ 0.5
t = 1.047/π
don't forget that the angles are in radians
t = 0.333 s
now let's look for speed and acceleration
v = - 15 π sin (π 0.333)
v = - 40.8 cm / s
a = - 15 π² cos (π 0.333)
a = -74.2 cm / s
Una rueda gira 160 veces en 20[s]. Calcule su periodo (s) y frecuencia (Hz)
Answer:
Una rueda de 20 cm de radio gira de modo que en dos minutos ... Datos: • Radio 20 cm = 0,2 m • Tiempo = 2 min 30 s= 150 s • N° de vueltas ... m • f = 300 rpm = 5 Hz • Período • T = 1 f = 1 5 = 0,2 s • Rapidez angular ... 160 rpm (frecuencia de la rueda 2) • 10 * 160 = 80 * y donde y = 20 rpm
Explanation:
Three 20.0 ohm resistors are
connected in parallel. What is their
equivalent resistance?
(Unit = ohm)
Answer:
6.67 ohm
Explanation:
From the question given above, the following data were obtained:
Resistor 1 (R₁) =20 ohm
Resistor 2 (R₂) = 20 ohm
Resistor 3 (R₃) = 20 ohm
Equivalent Resistance (R) =?
Since the resistors are arranged in parallel connection, the equivalent resistance can be obtained as follow:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/20 + 1/20 + 1/20
1/R = (1 + 1 + 1) / 20
1/R = 3/20
Invert
R = 20/3
R = 6.67 ohm
Therefore, the equivalent resistance is 6.67 ohm.