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.
The diagrams show two planets of different masses with identical orbiting satellites. Select all the conditions that would increase the gravitational force between each pair.
A. move the satellites closer to the planet
B. move the satellites farther from the planet
C. Add mass to the satellites
D.Remove mass from the satellites
Answer:
C I think but I'm not sure
Explanation:
Because by adding mass it would add more gravitational pull
2. Before 0.5-kg ball is dropped from a third story window 20 m above the sidewalk. What is the potential
energy of the ball?
a. 4 J
b. 9800 J
C. 98 J
d. 150 J
Answer:
C
Explanation:
C
20*9.8*0.5
98
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.
Can someone please, please help me out here? I understand literally none of this, despite watching multiple videos and reading a few articles on Kirchoff's laws.
Answer:
Explanation:
By Kirchoff's laws, I1 + I2 = 3
I2 = 3 - I1
Following circuit on the left, V = summation of IRs
9 = I1*3 + 3*2
3*I1 = 9 - 6 = 3
I1 = 1A
I2 = 3 -1 = 2A
Following circuit on the right, V = summation of IRs
ε = I2*4.5 + 3*2
= 2*4.5 + 6
= 15V
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:
1 hp is equal to? What is the answer
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.
Which of these statements explains why we have day and night? [1] The Earth orbits the Sun once a day The Sun orbits the Earth once a day. The Sun spins on its axis once a day. The Earth spins on its axis once a day.
Answer:
The Earth spins on its axis once a day.
Explanation:
In simple words,The Earth revolves on its axis once every 24 hours and circles the sun once every 365 days. The Earth's rotation on its axis, not its orbit throughout the sun causes day as well as night. The word 'one day' refers to the period it requires the Earth to spin entirely on its axis, which involves both day as well as night.
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.
Need some physics gel pls
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!
5. What is the name of the Scientist who began classification?
O Carl Linnaeus
O Albert Einstein
Sir Issac Newton
Answer:
Carl Linnaeus discovered Classification
Answer:
Carl Linnaeus
Explanation:
Mark me Brainllest
ASAPPPPP NO LINKS PLSSSS *FOR TEST TOMORROW*
Meanings for:
- Automation
- Fulcrum
- Consumerism
Automation:
1. The creation and application of technology to monitor and control the production and delivery of products and services.
2. The use of machines and technology to make processes run on their own without manpower.
Examples to make you understand better:
Automations are in Meetings, Hiring Process, Employee Analytics.
Quote:
"In manufacturing, a system or method in which many or all of the processes of production, movement, and inspection of parts and materials are automatically performed or controlled by self-operating machinery, electronic devices, etc."
Fulcrum:
Picture Included.
1. The support about which a lever turns
2.The support or point of support on which a lever turns in raising or moving something
Consumerism:
Quote:
"Consumerism has a good and bad side. Although consumerism drives economic growth and boosts innovation, it comes with a fair share of problems ranging from environmental and moral degradation to higher debt levels and mental health problems."
Definition:
1. "The growth of consumerism has led to many organizations improving their service to the customer"
2. Spending money and consuming goods is good for the economy.
3. The protection or promotion of the interests of consumers.
I hope this helped!+*♡
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.
A Cathode of initial mass 10.00g weigh to 10.05g
after a Current of SA passes through the voltmeter of 10 minutes - Calculate the E.C.E of the metal deposed
Answer:
i'm sorry i'm not a physics student
While performing a stunt, Danger Dog rides his motorcycle off the edge of a cliff with a velocity of 32 m/s. If the cliff is 45 m high, how far from the base of the cliff will Danger Dog land? Enter your answer in meters. 11 m 96 m 288 m 4 m
Answer:
The correct answer is b: 96 m.
Explanation:
The total distance in the horizontal direction traveled by Danger Dog can be calculated using the following equation:
[tex] x_{f} = x_{0} + v_{0_{x}}t + \frac{1}{2}at^{2} [/tex] (1)
Where:
[tex] x_{f}[/tex]: is the final position in the horizontal direction =?
[tex]x_{0}[/tex]: is the initial position in the horizontal direction = 0
[tex] v_{0_{x}} [/tex]: is the initial velocity in the horizontal direction = 32 m/s
t: is the time
a: is the acceleration = 0 (he is accelerated only by gravity)
So, we need to find the time. We can find it as follows:
[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex] (2)
Where:
[tex] y_{f}[/tex]: is the final position in the vertical direction = 0
[tex]y_{0}[/tex]: is the initial position in the vertical direction = 45 m
[tex] v_{0_{y}} [/tex]: is the initial velocity in the vertical direction = 0
g: is the acceleration due to gravity = 10 m/s²
By solving equation (2) for "t" we have:
[tex] t = \sqrt{\frac{2(y_{0} - y_{f})}{g}} = \sqrt{\frac{2*45 m}{10 m/s^{2}}} = 3 s [/tex]
Hence, the total distance traveled by Danger Dog in the x-direction is (equation 1):
[tex] x_{f} = 32 m/s*3 s = 96 m [/tex]
Therefore, the correct answer is b: 96 m.
I hope it helps you!
A roller coaster speeding down a hill is an example of
A. Increasing kinetic energy
B. Increasing nuclear energy
C. All of these choices
D. Increasing in potential energy
Answer:
If I'm not wrong; I think the answer is A
Explanation:
A. Increasing kinetic energy
1. The distance between two identical parts of a transverse wave is the
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
A sound wave is called a longitudinal wave? why?Give reason
Answer:
A sound wave is called a longitudinal wave because compressions and rarefactions in the air produce it. The air particles vibrate parallel to the direction of propagation.
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.
What words go in the missing blanks?
An object with less ____ and ____. Will be easier to move.
The Voltmeter reads 16 V. The ammeter reads 0.25 A. The resistance must be
Answer:
64 ohms =R
Explanation:
R is directly proportional to V
R is inversely proportional to I(Current
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.
A student investigated
A 5kg block is pulled across the table by a force of 61N. Calculate the acceleration of the object.
Answer:
a = 12.2 m/s²
Explanation:
Given: 5 kg, 61N
To find: Acceleration (a)
Solution:
A = F ÷ m
= 61 ÷ 5
= 12.2 m/s²
Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.
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!!!
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.
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: