Answers
1. The speed of the roller coaster car at point B and C: are 19.8 m/s and 0 m/s respectively.
2. If mass (m) of the roller coaster car were doubled, the speed at B would increase because energy is dependent on the mass of an object.
Given the following data:
Mass of roller coaster car = 750 kgSpeed of roller coaster car = 15 m/sHeight = 40 meters1. To find the speed of the roller coaster car at point B and C:
First of all, we would determine the potential energy of the roller coaster car by using the formula:
[tex]P.E = mgh[/tex]
Where:
m is the mass of object.g is the acceleration due to gravity ([tex]9.8\;m/s^2[/tex]).h is the height of an object.From the diagram, height at point B = [tex]\frac{h}{2} = \frac{40}{2} = 20[/tex] meters
[tex]P.E = 750(9.8)(20)[/tex]
P.E = 147000 Joules.
Next, we would determine the speed by applying the law of conservation of energy.
[tex]Kinetic\;energy = Potential\;energy\\\\\frac{1}{2} mv^2 = mgh[/tex]
Substituting the values, we have;
[tex]147000 = \frac{1}{2} (750)v^2\\\\147000 = 375v^2\\\\v^2 = \frac{147000}{375} \\\\v^2 = 392\\\\v = \sqrt{392}[/tex]
Speed, v = 19.8 m/s
From the diagram, at point C, the speed is equal to zero (0) meters per seconds.
2. If mass (m) of the roller coaster car were doubled, the speed at B would increase because energy is dependent on the mass of an object.
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Related Questions
2. An athlete runs up the stairs of a tall building in 10 s. If she has a mass of 55 KG and the total vertical distance she covers is 8.2 m, what is the average power (in W)developed by her legs?
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Answer:
P = 37.0 W (watts)
Explanation:
Using the formula for power :
P = ( kg × m^2/s^2 ) W
given the mass 55kg, the time 10s, and the displacement 8.2m.
55 kg × 8.2^2 / 10^2
55kg × 67.24 / 100
3698.2/100
P = 36.982 ≈ 37.0 W (nearest tenth)
A person has a mass of 1000 g and an acceleration of 20 M/S/S what is the force on the person
Answers
Answer:
The answer is 20 NExplanation:
The force acting on an object can be found by using the formula
force = mass × accelerationFrom the question
mass = 1000 g = 1 kg
acceleration = 20 m/s²
We have
force = 20 × 1
We have the final answer as
20 NHope this helps you
In which scenario will the two objects have the greatest gravitational force
between them?
A. Mass of object 1 = 22 kg
Mass of object 2 = 14 kg
Distance between objects = 28 m
B. Mass of object 1 = 22 kg
Mass of object 2 = 16 kg
Distance between objects = 48 m
C. Mass of object 1 = 22 kg
Mass of object 2 = 14 kg
Distance between objects = 48 m
D. Mass of object 1 = 22 kg
Mass of object 2 = 16 kg
Distance between objects = 28 m
Answers
Answer: The answer is D
Explanation:
The greater the mass and the less the distance
The two objects that will have the greatest gravitational force between them is:
D. Mass of object 1 = 22 kg
Mass of object 2 = 16 kg
Distance between objects = 28 m
What is Gravitational force?It is an appealing power that exists between all items with mass; an article with mass draws in one more particle with mass; the size of the power is straightforwardly corresponding to the majority of the two articles and contrarily relative to the square of the distance between the two particles.
It is given by:
[tex]F=G*\frac{m_1*m_2}{r^2}[/tex]
So, for the highest value of gravitational force there must be greater mass and lesser distance. So the option that holds good is option D.
Find more information about Gravitational force here:
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According to the kinetic theory, what happens when the temperature of water
increases?
The water molecules increase their speed.
The water molecules do not change speed.
The water molecules decrease their speed
PLEASE HELP
Answers
Explain which planets have seasons and why some planets have none at all.
Discuss which planet has seasons most similar to earth and why.
Discuss additional factors that some planets have that affect their seasons.
What fact about other planet’s seasons most surprised you and what did you find the most interesting? Why?
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Answer:
Some planets have seasons some don't bc of the distance from the sun some of them are too cold or too hot to have seasons
a car get slips in a mud
Answers
Answer:
So, if the car slips in mud it will either skid or slide depending on the size of the mud puddle.
Does this work?
A 1288.1 kg car is traveling at 24.1 m/s when the driver takes his foot off the gas pedal. It takes 4.4 s for the car to slow down to 20 m/s. How large is the net force slowing the car? Answer in units of N.
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Answer:
A 1288.1 kg car is traveling at 24.1 m/s when the driver takes his foot off the gas pedal. It takes 4.4 s for the car to slow down to 20 m/s. How large is the net force slowing the car? Answer in units of N.
Explanation:
I need helpppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:u
Laa c
Explanation:
Using complete sentences and correct punctuation and grammar answer the following question. Must be at least 3 sentences.
Explain why Eclipses do not occur every month.
Answers
Answer: A solar eclipse occurs when the moon passes in between the Earth and sun, casting a shadow down on the surface of our planet. If you're in the path of the shadow, the moon destroys the sun. No, wait, I mean the moon blocks the sun briefly.A lunar eclipse happens when the moon passes through the Earth's shadow. We see one limb of the moon darken until the entire thing is in shadow.An eclipse does not occur every month, because one month after an eclipse the relative geometry of the Sun, Moon, and Earth has changed. As seen from the Earth, the time it takes for the Moon to return to a node, the draconic month, is less than the time it takes for the Moon to return to the same ecliptic longitude as the Sun.
Explanation:
Answer:
Because the moon's orbit wobbles up and down with respect to the Earth, the satellite's shadow can be too high or too low to cause a solar eclipse. If the moon partially covers the sun for a given location, that area experiences a partial solar eclipse. But if the moon fully covers the sun, it will cause either a total solar eclipse or an annular solar eclipse; that's when a bright ring of light is still visible in the sky around the dark silhouette of the moon.
The vehicle land-speed record has long been held by rocket cars. These vehicles resemble the high-speed rocket planes that were used in the early days of the space program, but they have heavy metal wheels. On September 5, 1997, the world land-speed record was set by the British-built Thrust SSC rocket car, which had a top recorded speed of 341 m/s. The kinetic energy of the car at this speed is 5.289 × 108 J. What is the car’s mass?
Answers
Answer:
9096.93 Kg
Explanation:
The following data were obtained from the question:
Velocity (v) = 341 m/s
Kinetic energy (KE) = 5.289×10⁸J.
Mass (m) =.?
The mass of the car can be obtained as follow:
KE = ½mv²
5.289×10⁸ = ½ × m × 341²
5.289×10⁸ = ½ × m × 116281
5.289×10⁸ = m × 58140.5
Divide both side by 58140.5
m = 5.289×10⁸ / 58140.5
m = 9096.93 Kg
Therefore, the mass of the car is 9096.93 Kg
A mass of M-kg rests on a frictionless ramp inclined at 30°. A string with a linear mass density of μ=0.025" kg/m" is attached to the M-kg mass. The string passes over a frictionless pulley of negligible mass and is attached to a hanging mass (m). The system is in static equilibrium. A wave is induced on the string and travels up the ramp.
(a) Show that the mass of M is equal to twice the mass of the hanging mass: M = 2m.
(b) and at what wave speed does the wave travel up the string, if m = 5 kg?
Answers
Answer:
44.3 m/s
Explanation:
a) Draw a free body diagram of the mass M. There are three forces:
Weight force mg pulling down,
Normal force N pushing perpendicular to the ramp,
and tension force T pulling parallel up the ramp.
Sum of forces in the parallel direction:
∑F = ma
T − Mg sin 30° = 0
T = Mg sin 30°
T = Mg / 2
Draw a free body diagram of the hanging mass m. There are two forces:
Weight force mg pulling down,
and tension force T pulling up.
Sum of forces in the vertical direction:
∑F = ma
T − mg = 0
T = mg
Substitute:
mg = Mg / 2
m = M / 2
M = 2m
b) Velocity of a standing wave in a string is:
v = √(T / μ)
T = mg, and m = 5 kg, so T = (5 kg) (9.8 m/s²) = 49 N. Therefore:
v = √(49 N / 0.025 kg/m)
v = 44.3 m/s
all the elements are found on earth, where were they formed?
1. in the sun
2. in ancient stars
3. in earths core
4. in the gas cloud that formed earth
Answers
Answer:
in the Earths core
Explanation:
An underwater sound source emits waves of frequency 30 kHz in all directions. How does the intensity of the waves (in Watts/m2) vary with distance r from the source?
a) 1/r^3
b) 1/r^2
c) 1/r
d) None of above
Answers
When an underwater sound source emits waves of frequency 30 kHz in all directions, the intensity of the waves (in Watts/m2) vary with distance r from the source by the relation 1/r²
As the intensity mechanical sound wave is inversely proportional to the square of the distance from the source, therefore the correct option is B.
What is the Wavelength?Wavelength can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.
It is the total length of the wave for which it completes one cycle.
The intensity of a mechanical wave is inversely proportional to the square of the distance from the source.
An underwater sound source emits waves of frequency of 30 kHz in all directions, the intensity of the waves (in Watts/m2) varies with distance r from the source by the relation 1/r², therefore the correct option is B.
Learn more about wavelength from here
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The jogger ran 3km east.
4. Look at the bottom figure. Suppose that a car is 20 km due north of New York City. The car
travels north toward Albany until it is 100 km due north of New York City.
Answers
Answer: d
Explanation:
When light waves hit ice, most of them bounce off and radiate back into space. Because of this, ice is best described as which kind of surface?
Answers
Answer:
Reflective surface
Explanation:
Ice is a reflective surface because most the of the light waves that hits on it bounces off.
When a surface is smooth and polish, it acts a reflector. When a surface is jagged and not smooth light does not readily reflect. Reflection is through the incident angle of the light waves.Therefore, snow is a reflective surface.
A car accelerates from rest to a certain velocity in a certain time. Assume that there is no friction, and that the engine power is constant. Consider the following scenarios independently. How long would it take to reach double the velocity (also from rest)
Answers
Answer:
it will take half of the initial time to reach double the velocity
Explanation:
Given that a car accelerates from rest to a certain velocity in a certain time.
Since the car accelerate from rest, the initial velocity U = 0
Using the first equation of motion,
V = U + at
V = at
Assume that there is no friction, and that the engine power is constant. Consider the following scenarios independently. How long would it take to reach double the velocity (also from rest)
That is V = 2V
Using the same formula ,
2( at ) = at
2T = t
T = t/2
Therefore, it will take half of the initial time to reach double the velocity
What is the takeoff distance for an airplane on a runway at
300km/hr with acceleration of 1 m/s 2
Answers
Answer:
x = 3472 [m]
Explanation:
To solve this problem we must use the following expression of kinematics:
[tex]v_{f}^{2}= v_{i}^{2}+(2*a*x)\\[/tex]
where:
Vi = initial velocity = 0
Vf = final velocity = 300 [km/h]
a = acceleration = 1 [m/s^2]
x = takeoff distance [m]
Note: The initial velocity is equal to zero as avion starts its movement from rest.
Now we have to convert units of kilometers per hour to meters per second, the final velocity.
[tex]300 [\frac{km}{h}]*[\frac{1h}{3600s} ]*\frac{1000m}{1km} \\= 83.33 [\frac{m}{s} ][/tex]
(83.33)^2 = 0 + (2*1*x)
2*x = 6943.88
x = 3472 [m]
A microwave oven operates at 2.00 GHz . What is the wavelength of the radiation produced by this appliance?
Answers
Answer:
Wavelength = 0.15 m
Explanation:
The frequency of a microwave oven is 2.00 GHz or [tex]2\times 10^9\ Hz[/tex].
We need to find the wavelength of the radiation produced by this appliance. We know that the relationship between the frequency and wavelength is given by :
[tex]c=f\lambda[/tex]
Where,
[tex]\lambda[/tex] is the wavelength
So,
[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{2\times 10^9}\\\\=0.15\ m[/tex]
So, the wavelength of the radiation produced by this appliance is 0.15 m.
a leaky faucet is dripping at a rate of 1 pint per hour how many hours to fill 10 gallons
Answers
Answer:
80 hours :)))))))))))))
Glucose is a carbohydrate.
True
0r False
Answers
Answer: True
Explanation: Glucose is a carbohydrate.
A shot-putter exerts an unbalanced force of 128 N on a shot giving it an acceleration of 19
m/s2. What is the mass of the shot?
Answers
Answer:
128 is the ans cuz N is also lnown as mass
Explanation:
128
A force vector has a magnitude of 42 N and is applied at an angle of 108°
above the eastern horizontal.. Determine they component of this force
vector
0 -15 N
O -13 N
39.9 N
35 N
Answers
A box is pushed using 500 joules of energy. The amount of energy produced is
50 J. Calculate the efficiency.
Answers
2.9030 has 4 significant digits.
TRUE OR FALSE
Answers
Atoms tend to be stable and nonreactive if they have six valence electrons.
Select one:
O True
O False
Answers
Answer:
True
Explanation:
It takes 25.7 N to push a crate
at a constant speed across flat
ground where uk
= 0.238.
What is the normal force acting
on the crate?
(Unit = N)
Answers
Answer:
108 N
Explanation:
Divide the force by uk to get the normal force
(25.7)/(0.238) = 107.98 N = 108 N
Answer:
107
Explanation:
Are Stereotyping and prejudice are the same thing true or false
Answers
Answer:
Yes it's false for this finish touch
A car start from rest accelerate uniformly at rate of 2 m/sec2. Its velocity after 5 seconds will be:
Answers
Answer:
nononononononononononononnn
Explanation:
Answer:
Read below to understand
Explanation:
acceleration = change in velocity / change in time
(a = v/t)
You have acceleration and time given so you need to rearrange the equation to solve for velocity
V = a * t
V = 2 * 5
Velocity is 10 m/s
My question is on the picture
Answers
Answer:
Measure change in temperature after long call
Explanation:
water vapor is what kind of gas?
Answers
Answer:
the gaseous phase of water
Explanation:
"It is one state of water within the hydrosphere. Water vapor can be produced from the evaporation or boiling of liquid water or from the sublimation of ice. "
hope this helps!!
Water vapor is a greenhouse gas.
I know this is a simple answer, but I sincerely hope this helped!