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 is closest to the Earth?
A. Moon
B. Sun
C. Mars
D. Venus
Answer:
A. Moon
Explanation:
The Moon is hundreds of thousands of miles away from the Earth while the other options are hundreds of millions of miles away.
The three things to remember about gravitational forces in space are: 1. 2. 3.
Answer:
(1) The gravitational forces are inversely proportional to the square of the distance between the objects. More is the distance between the objects , less will be the gravitational force between them.
(2) The gravitational forces are the weakest of all the four fundamental forces (Nuclear forces, weak forces, electromagnetic forces, gravitational forces) in nature.
(3)Gravitational forces are always attractive . They are also conservative in nature. work done by these forces or against these forces doesn't depend on the path followed.
Explanation:
Jim wishes to push a 100. N wood crate across a wood floor.What is the minimum horizontal force that would be required to start the crate moving?
For the wood crate to move, the force applied (minimum horizontal force) must be greater than the static friction between the wood crate and the wood floor
Given that Jim wishes to push a 100. N wood crate across a wood floor.
The weight of the wood = 100N
The weight will produce a normal reaction N which is equal in magnitude to the magnitude of the weight. That is,
N = mg = 100N
For the wood crate to move, the force applied must be greater than the static friction between the wood crate and the wood floor.
Static friction = μN
Where μ = static friction.
Therefore, the minimum horizontal force that would be required to start the crate moving depend on the nature of the surface of the wood floor.
Learn more about Friction here: https://brainly.com/question/13940648
Imagine rubbing a balloon on your hair or clothes and putting extra electrons on the balloon to give it a negative charge. If you touch the balloon to a wall, it may stick to the wall. Explain why you think this happens.
Answer:
Because here is a number of electrons more applied to the balloon
which word meaning sensible has the most negative connotation
Answer:
I’d say stuffy. It has the most negative connotation of all the options .
Mark Brainlest please!
Part F
How could you add more energy to the car?
Answer:
with fuel
Explanation:
Answer:
you can add more energy to the car by launching it again.
Explanation:
Ali mixes 20g of Sodium Chloride in 100g of water at 15 Degree °C. Calculate the mass of the solution
Answer:
The mass of the solution is 120 g.
Explanation:
The mass of the solution is given by:
[tex] m_{sol} = m_{1} + m_{2} [/tex]
Where:
[tex]m_{sol}[/tex]: is the mass of the solution
[tex]m_{1}[/tex]: is the mass of the solvent
[tex]m_{2}[/tex]: is the mass of the solute
In the solution, the solvent is the majority compound (in mass) and the solute is the minority (in mass), so the solvent is the water and the solute is sodium chloride.
Hence, the mass of the solution is:
[tex] m_{sol} = m_{1} + m_{2} = 100 g + 20 g = 120 g [/tex]
I hope it helps you!
Smaller the surface area greater the gravitational force and vice–versa yes or no? justify the statement.
Answer:
It is true that Smaller the surface area greater the gravitational force and vice versa
Explanation:
The gravitational force depends on the distance between the two objects
F=GMm/r2
where G = gravitational constant
M = mass of one object
m = mass of second object
r is the distance between the two objects
Gravitational force is inversely proportional to the square of the distance between two objects. Hence, it can be said the Gravitational force is inversely proportional to the area and hence as the area increases gravitational force will decrease or vice versa
What is another name for constructive interference?
A. Up
B. Down
C. Reinforcement
D. Cancellation
A 50-kg copper block initially at 140°c is dropped into an insulated tank that contains 90 l of water at 10°c. Determine the final equilibrium temperature and the total entropy change for this process.
Answer:
[tex]T_f=24.71[/tex]
Explanation:
From the question we are told that:
Mass of block [tex]m=50[/tex]
Temperature of block [tex]T_b =140 \textdegree C[/tex]
Volume of water [tex]V= 90L[/tex]
Temperature of water [tex]T_w=10 \textdegree C[/tex]
Density of water [tex]\rho=1000kg/m^3[/tex]
Specific heat of water [tex]C_w=4.18KJ/kg-k[/tex]
Specific heat of copper [tex]C_p=0.96KJ/kg-k[/tex]
Generally the equation for equilibrium stage is mathematically given by
[tex]mC_p(T_b-T_f)=\rho*VV*c(T_f-T_w)[/tex]
[tex]50*0.96(140-T_f)=1000*90*10^-3*c_w(T_f-10)[/tex]
[tex]48(140-T_f)=376.2(T_f-10)[/tex]
[tex]140-T_f=7.8375(T_f-10)[/tex]
[tex]140-T_f=7.8375T_f-78.375[/tex]
[tex]-8.8375T_f=-218.375[/tex]
[tex]T_f=\frac{-218.375}{-8.8375}[/tex]
[tex]T_f=\frac{-218.375}{-8.8375}[/tex]
[tex]T_f=24.71[/tex]
How many electrons must be remowel from an electricaly Nurutral Silvor Coin to five it a charge of 3.2 NC ?
Answer:
#_electrons = 2 10¹⁰ electrons
Explanation:
For this exercise we can use a direct rule of three proportions rule. If an electron has a charge of 1.6 10⁻¹⁹ C how many electrons have a charge of 3.2 10⁻⁹ C
#_electrons = 3.2 10⁻⁹ ( [tex]\frac{1}{1.6 \ 10^{-19}}[/tex])
#_electrons = 2 10¹⁰ electrons
Studying this brochure from nasa, which explains more detail the instruments carried by the Juno spacecraft which scientific activities will jump conduct on its trip to Jupiter? Check all that apply
Answer:
Juno scientific payload includes:
A gravity/radio science system (Gravity Science) A six-wavelength microwave radiometer for atmospheric sounding and composition (MWR) A vector magnetometer (MAG) Plasma and energetic particle detectors (JADE and JEDI) A radio/plasma wave experiment (Waves) An ultraviolet imager/spectrometer (UVS) An infrared imager/spectrometer (JIRAM)Explanation:
Each mission of NASA has a specific set of instruments that it uses to perform scientific experiments on the desired heavenly body. In case of Juno, the mission for Jupiter has a series of instruments that would study domains of gravitational forces, magnetic effect, particle detection, radiation detection, UV/IR imaging, and plasma experiments.
According to Hooke's law, the force exerted by a compressed or stretched spring is proportional to...
Answer:
Hooke's law can be written as:
F = -k*Δx
Where k is a constant that depends on the spring, called the spring constant.
And Δx = (x - x₀) is the displacement of the spring with respect to the rest position x₀
And a proportional equation is something like:
y = c*x
Where c is a constant of proportionality.
In the case of Hooke's law, the constant is K, then the force is proportional to the displacement of the spring with respect to the rest position Δx.
PLEASE HELP ME
Which refers to the amount of energy in a sound wave per unit of time and is also related to the loudness of a sound? period compression amplitude intensity
Answer: Thanks for the points!
Explanation: The average amount of energy passing through a unit area per unit of time in a specified direction is called the intensity of the wave. As the amplitude of the sound wave increases, the intensity of the sound increases. Sounds with higher intensities are perceived to be louder.
Answer:
Amplitude
Explanation:
Please Its urgent I need your HELP!!!!!!!!!!!!!!!!!!!!!!!
Raising the temperature results in the radiator giving off photons of high-energy ultraviolet light. As heat is added, the radiator emits photons across a wide range of visible-light frequencies
One way to think about circular motion is that the object is continuously ____________.
A. Prevented from moving in a straight line.
B. Allowed to move in a straight line.
C. Forced to move in a straight line.
D. Encouraged to move in a straight line.
Answer:
A
Explanation:
circular motion means the object will follow a circular trajectory.
Answer:
the answer for the question is option A
How much work is done when 300 N of force is used to lift the dog 1.5 m?
Answer:
450N
Explanation:
Work done=Force*distance
will give Brianliest answer. help.
consider a collusion in one dimension that invoves two objects of masses 4.5 kg and 6.2 kg the larger mass is originally at rest, and the smaller mass has an initial velocity of 16 m/s [E]. the final velocity of the larger object is 10.0 m/s [E]. calculate the final velocity of the smaller object after the collision.
Answer:
v₁ = 1.78 m/s
Explanation:
We can use the law of conservation of momentum here, as follows:
[tex]m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2[/tex]
where,
m₁ = mass of first object = 4.5 kg
m₂ = mass of second object = 6.2 kg
u₁ = initial speed of first (smaller) mass = 16 m/s
u₂ = initial speed of second (larger) mass = 0 m/s
v₁ = final speed of first (smaller) mass = ?
v₂ = final speed of second (larger) mass = 10 m/s
Therefore,
[tex](4.5\ kg)(16\ m/s)+(6.2\ kg)(0\ m/s)=(4.5\ kg)(v_1)+(6.2\ kg)(10\ m/s)\\70\ kgm/s - 62\ kgm/s = (4.5\ kg)v_1\\\\v_1 = \frac{8\ kgm/s}{4.5\ kg}\\\\[/tex]
v₁ = 1.78 m/s
Refer to the diagram to answer the question. Which part of the eye enables it to focus? A B C D E
Answer:
what are the A B C D E
Explanation:
Somebody please....
A girl drops a penny off a bridge. The penny lands in the water after 1.2 s. What is the speed of the penny just before it hits the water? Please write out the steps cause I have no idea how to do this!!
*if you post links i will report u so don't*
Answer:
Wait what is the distance of the water from the br
The speed of the penny drops of a bridge just before it hits the water is 11.76 ms⁻¹.
Given,
Time, t = 1.2 s
The initial velocity (u), final velocity (v), acceleration (a), displacement (s), and time (t) of an object traveling with constant acceleration are related by the first equation of motion, often known as the first kinematic equation or the equation of motion with constant acceleration.
From the first equation of motion:
v = u + at
Since the initial velocity is zero. The final velocity is:
v = at
v = (9.8 ) × (1.2 s)
v = 11.76 ms⁻¹
Hence, the speed of the penny drops of a bridge just before it hits the water is 11.76 ms⁻¹.
To learn more about Speed, here:
https://brainly.com/question/17661499
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A gas mixture has 10% O2, 50% Ar (40 gmw) and 40% Pu (244 gmw). What is the density of this mixture?
Answer: 5.39g/L
Explanation:
We need to calculate the average molar mass of the mixture which will be:
= (10 × 32) + (50 × 40) + (40 × 244) / 100
= (320 + 2000 + 9760) / 100
= 12080 / 100
= 120.8g/mol
Since the volume occupied is 22.4L and 1 mole of the gas will occupies 22.4L given the standard temperature conditions, then the density of the mixture will be:
= Mass / volume
= 120.8 / 22.4
= 5.39g/L
Therefore, the density of the mixture will be 5.39g/L.
A turtle swimming in a straight line toward shore has a speed of 0.50 m/sec. After 4.0 seconds, its speed is at 0.90 m/sec. What is the turtle's acceleration?
Answer:
0.1m/s²
Explanation:
Using the equation of motion
V = u+at
V is the final speed = 0.9m/s
Initial speed u = 0.5m/s
Time = 4secs
Get the acceleration
0.9 = 0 5+4a
0.9-0.5 = 4a
0.4 = 4a
a = 0.4/4
a = 0.1m/s²
Hence the acceleration is 0.1m/s²
Several merchant ships reports rogue waves
which are estimated to be 25 meters high and 26 meters long. Assuming that these waves travel at
speeds of 6.5 m/s, determine the frequency and the period of these waves.
Answer:
The frequency is 0.25Hz and the period is 4s
Explanation:
To solve this we can use the formula: [tex]f = \frac{v}{\lambda}[/tex], where f=frequency, v=velocity and lambda = wavelength.
In the question, we are given the information that the velocity of the wave is 6.5m/s and the wavelength is 26 meters long. By putting these values into the formula, we can find the frequency:
[tex]f=\frac{6.5}{26} \\f= 0.25Hz[/tex]
Period is the inverse of frequency: [tex]T=\frac{1}{f}[/tex]
Therefore the period is: [tex]T = \frac{1}{0.25} \\T = 4s[/tex]
Hope this helped!
The location of the proton is ______ in an atom?
Answer:
nucleus
hope this helps
have a good day :)
Explanation:
Answer:
option c) nucleus
Explanation:
hope it helps ❤️
Haile's plane travels forward for a few feet and then begins to fall. What would explain the plane's ability to travel forward for a few feet without falling?
Answer:
Aircraft never crash because of one single issue. It's almost always a combination of factors that lead to an accident. Whilst flying is extremely safe, typical reasons why planes crash include pilot error, technical failures, bad weather, terrorism, and pilot fatigue.
Answer The force of the air pushing up on the plane is
equal to the force of gravity pulling down on the
plane.
identify 2 properties of sound waves
Do planets revolve slower or faster the closer they are from the sun?
Answer:
The speed at which a planet orbits the Sun changes depending upon how far it is from the Sun. When a planet is closer to the Sun the Sun’s gravitational pull is stronger, so the planet moves faster. When a planet is further away from the sun the Sun’s gravitational pull is weaker, so the planet moves slower in its orbit.
any tips for an ollie ?
Answer:
skateboard mid-ollie is being actively steered. This is exactly what makes doing an ollie so hard. It's not enough to get the skateboard up into the air - you also have to steer it while it's in the air. You should keep your hands up in the hair a bit to help with balance, scrunch your legs a bit down to have a proper and effective jump. wear nee pads incase you dont fix the landing. Practice jumping on ur skate board tho, if u jump at it without knowing much youll just get hurt.
Explanation:
You slide out of a car seat and as you touch the metal door a spark jumps between your hand and the door. Describe how the spark formed
Answer: Your body sliding against the car seat created friction, making it created potential energy. The friction is a form of electricity, and the car doors metal is a conductor of electricity. That potential energy was turned into kinetic once the metal attracted the electricity, thus making a spark.
Hope this helps ^_^
This Is Science , please help it’s due at 3 , but I dont mind if its a little late.
Answer:
uhm you can get all these answers from go ogle but just so you dot get in trouble click the tree dots at the top right of your screen (this is if your using crome) and go to history click the square and there should be a delete thing
Explanation:
Answer:
4. I and II 9. tornado
Explanation: