The roller coaster's path is represented by two vectors: a horizontal and an inclined one. The inclined path is further broken into its vertical and horizontal components. By summing up the squares of the total horizontal and vertical distances (after calculating these components) and taking the square root, the magnitude of the resultant vector equates to 323.95 feet.
Explanation:The question relates to the calculation of the magnitude of a resultant vector, which is a concept in physics. The roller coaster's path can be represented as two vectors - the horizontal and the inclined path. The magnitude of the resultant vector can be calculated using the Pythagorean theorem, which is commonly used in physics to determine the resultant of perpendicular vectors.
The horizontal displacement is 200 feet. However, the vertical displacement is part of the inclined path, which needs to be broken down into its components to get the vertical and horizontal distances. The vertical distance covered in the inclined path can be calculated as 135 sin(30) = 67.5 feet and the horizontal distance as 135 cos(30) = 116.7 feet. Thus, the total horizontal distance becomes 200 + 116.7 = 316.7 feet.
The resultant vector, which represents the total path covered by the roller coaster, can be calculated by adding the squares of the total horizontal and vertical distance and then taking the square root of the sum. Using the Pythagorean theorem, the magnitude of the resultant vector becomes √(316.7² + 67.5²) = 323.95 feet.
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How much horizontal force f must a sprinter of mass 47 kg exert on the starting blocks to produce this acceleration? express your answer in newtons using two significant figures?
Final answer:
To find the horizontal force a 47 kg sprinter must exert on the starting blocks to achieve a given acceleration, Newton's Second Law is used. Assuming the acceleration is 4.20 m/s², the required force is calculated to be approximately 197 N.
Explanation:
To determine how much horizontal force (f) a sprinter must exert on the starting blocks to produce a certain acceleration, we can use Newton's Second Law of Motion, which states that force equals mass times acceleration (F = ma). Since the student asked for the amount of force for a sprinter with a mass of 47 kg but did not provide the acceleration, we'll assume the acceleration is the same as provided in the reference problems: 4.20 m/s² (as from a 63.0-kg sprinter).
Using the formula F = ma:
Force (F) = mass (m) × acceleration (a)
F = 47 kg × 4.20 m/s²
F = 197.4 N
Therefore, the sprinter must exert a force of approximately 197 N on the starting blocks to achieve the given acceleration.
A rocket is headed away from earth at a speed of 0.8c. the rocket fires a missile at a speed of 0.7c (the missile is aimed away from earth and leaves the rocket at 0.7c relative to the rocket). how fast is the missile moving relative to earth? select one:
a. 1.5c
b. a little less than 1.5c
c. a little over c
d. a little under c
e. 0.75c
To solve this problem, let us consider that the Earth is the origin, the initial reference point. Therefore the speed of rocket plus the missile would be 0.8 C
Now after the rocket had moved away from Earth, it fired a missile at a speed of 0.7 C. Now the reference made to this is relative to the rocket. We have established that our initial reference point is the Earth, therefore the real speed of the missile with reference to Earth is:
Speed of missile relative to Earth = 0.8 C + 0.7 C
Speed of missile relative to Earth = 1.5 C
Answer is:
A
What is the relationship between current and voltage in the filament of an incandescent light bulb?
Which labels, if placed from left to right, best complete the timeline? Z, X, Y
Y, Z, W
W, X, Z
Y, Z, X
Answer:
The answer is A.
Explanation:
I took the test and got the answer.
When introduced into a region where an electric field is present, an electron with initial velocity will eventually move?
An electron moves in an electric field towards regions of lower potential due to the decrease in its electric potential energy.
An electron moves in an electric field towards regions of lower potential. This is because the electron will move in the direction that tends to decrease its electric potential energy.
An electron moves toward lower electrical potential in an electric field, and will exhibit motion based on the Lorentz force when in a magnetic field. If both electric and magnetic fields are present, perpendicular velocity filtering can occur.
When an electron with initial velocity is introduced into a region where an electric field is present, it will be accelerated by the electric field. An electron moves toward regions of lower potential because it has a negative charge and is repelled by areas of higher negative potential and attracted to areas of higher positive potential. For example, if the electric field is uniform and points in the direction opposite to the electron's initial velocity, the electron will decelerate until it comes to rest, then accelerate in the direction of the field.
In a uniform magnetic field, the electron will start to move in a circular path due to the magnetic force acting perpendicular to its velocity. The radius of this path and the direction of the magnetic force can be determined using the Lorentz force law. If there is both an electric field and a magnetic field present, perpendicular to each other and the velocity of the charged particle, there exists a particular velocity at which the particle will experience no net force, leading to the concept of a velocity filter.
If he throws the ball (with mass 0.07 kg) with a speed of 28 m/s and there is no air resistance, how high does the ball go?
the idea that magma rises up at rift valleys and crust is being destroyed at trenches describes the theory of
A point charge q1 = +2.90 µc is held stationary at the origin. a second point charge q2 = -5.30 µc moves from the point x = 0.110 m, y = 0 to the point x = 0.280 m, y = 0.280 m. how much work is done by the electric force on q2?
A point charge with a charge q1 = + 2.90 uC is held stationary at the origin hence coordinates are (0, 0).
A second point charge with a charge q2= - 5.40 uC moves from the point x = 0.110 m, y = 0 to the point x = 0.280 m, y = 0.280 m [(0.110, 0) to (0.28, 0.28)]
The initial distance between the two charges is:
Initial distance = r1 = 0.110 m
The final distance between the two charges is calculated using hypotenuse formula:
Final distance = r2 = sqrt [0.28^2 + 0.28^2]
r2 = sqrt [2 * 0.0784]
r2 = sqrt [0.1568]
r2 = 0.396 m
Δr = r1 - r2 = 0.110 - 0.396 = - 0.286 m
r1r2 = 0.04356 m^2
Work is done by the electric force on q2= W. The formula to use with change in location is:
W =k q1 q2 [1/r2 - 1/r1]
W = 9*10^9 * 2.9*10^-6 * -5.3*10^-6 [(1/0.396) – (1/0.110)]
W = 0.908 J = 9.08*10^-1 J (ANSWER)
How old was the theory of plate tectonicsâthe defining theory of all earth scienceâwhen man first walked on the moon?
A solenoid having an inductance of 6.95 μh is connected in series with a 1.24 kω resistor. (a) if a 12.0 v battery is connected across the pair, how long will it take in seconds for the current through the resistor to reach 73.6% of its final value? (b) what is the current through the resistor at a time t = 1.00τl?
He heating element of an electric dryer is rated at 4.1 kw when connected to a 240-v line. part a what is the current in the heating element? express your answer using two significant figures. i = a submitmy answersgive up part b is 12-gauge wire large enough to supply this current? is 12-gauge wire large enough to supply this current? yes no submitmy answersgive up part c what is the resistance of the dryer's heating element at its operating temperature? express your answer using two significant figures. r = ω submitmy answersgive up part d at 11 cents per kwh, how much does it cost per hour to operate the dryer? express your answer using two significant figures. cent
Part A. The formula relating electric power, voltage and current is:
P = I V
I = P / V
I = 4,100 W / 240 V
I = 17.08333 A
I = 17.08 A
Part B. The maximum amount of current an electrical wire can conduct is measure in terms of Ampacity. For a 12-gauge wire the Ampacity is greater than 20 A. Therefore the answer to this is “Yes”.
Part C. The formula for resistance is:
R = V / I
R = 240 V / 17.08 A
R = 14.05 Ω
Part D. The cost per hour is:
(11 cents / kwh) (4.1 kw) = 45.1 cents / hr
When i stand halfway between two speakers, with one on my left and one on my right, a musical note from the speakers gives me constructive interference. how far to my left should i move to obtain destructive interference?
Final answer:
To obtain destructive interference between the two speakers, you need to move to a point where the path length difference is equal to half of the wavelength of the musical note.
Explanation:
In order to obtain destructive interference between the two speakers, you would need to move to a point where the path length difference between the two speakers is equal to half of the wavelength of the musical note. This position is known as an antinode. Since the sound waves are in phase when you are standing halfway between the speakers, the path length difference would be equal to one wavelength. So to find the point where destructive interference occurs, you would need to move to a point where the path length difference is half of one wavelength. This means moving to the left by a distance equal to half of the wavelength.Which part of a stream's sediment load moves the slowest?
Question Part Points Submissions Used A bare helium nucleus has two positive charges and a mass of 6.64 ✕ 10−27 kg. What is kinetic energy in joules at 1.80% of the speed of light?
The Kinetic Energy (KE) is calculated using the formula:
KE = 0.5 m v^2
Where,
m = mass of bare helium nucleus = 6.64 ✕ 10^−27 kg
v = velocity = 0.018 c = 0.018 * 3 ✕ 10^8 m / s^2 = 5.4 ✕ 10^6 m / s^2
Calculating:
KE = 0.5 (6.64 ✕ 10^−27 kg) (5.4 ✕ 10^6 m / s^2)^2
KE = 9.68✕ 10^−14 J
Which of the following scenarios will cause the current to stop flowing within a circuit?
A. Insulating materials within the circuit are replaced with conducting materials.
B. A wire connected to the voltage source runs from the negative to the positive terminal.
C. The switch within the closed circuit is opened.
D. The circuit is closed.
When a perfume bottle is opened, some liquid changes to gas and the fragrance spreads around the room. Which sentence explain this?
Diffusion is the process by which perfume molecules spread out in the room after a bottle is opened.
Diffusion is the process by which molecules move from an area of high concentration to an area of low concentration until equilibrium is reached. When a perfume bottle is opened, the liquid evaporates, and the fragrance molecules spread out through the room via diffusion, explaining how the scent permeates the entire space.
A sample of argon gas (molar mass 40 g) is at four times the absolute temperature of a sample of hydrogen gas (molar mass 2 g). the ratio of the rms speed of the argon molecules to that of the hydrogen is
To solve this problem, let us recall that the formula for gases assuming ideal behaviour is given as:
rms = sqrt (3 R T / M)
where
R = gas constant = 8.314 Pa m^3 / mol K
T = temperature
M = molar mass
Now we get the ratios of rms of Argon (1) to hydrogen (2):
rms1 / rms2 = sqrt (3 R T1 / M1) / sqrt (3 R T2 / M2)
or
rms1 / rms2 = sqrt ((T1 / M1) / (T2 / M2))
rms1 / rms2 = sqrt (T1 M2 / T2 M1)
Since T1 = 4 T2
rms1 / rms2 = sqrt (4 T2 M2 / T2 M1)
rms1 / rms2 = sqrt (4 M2 / M1)
and M2 = 2 while M1 = 40
rms1 / rms2 = sqrt (4 * 2 / 40)
rms1 / rms2 = 0.447
Therefore the ratio of rms is:
rms_Argon / rms_Hydrogen = 0.45
Answer:
I would like to add to the above answer that .447 is equal to [tex]\frac{1}{\sqrt{5} }[/tex].
Explanation:
A student walks 5.00 m at an angle of 53.0° then walks another 8.00 m at angle of 130°. what is the magnitude of the student's final displacement?
Answer:
10.35 m
Explanation:
d1 = 5 m at angle 53 degree
d1 = 5 (Cos 53 i + Sin 53 j) = 3 i + 4 j
d2 = 8 m at an angle 130 degree
d2 = 8 (Cos 130 i + Sin 130 j) = - 5.14 i + 6.13 j
Total displacement = d = (3 - 5.14) i + (4 + 6.13) j = - 2.14 i + 10.13 j
magnitude of displacement = [tex]\sqrt{(-2.14)^{2}+(10.13)^{2}}[/tex] = 10.35 m
Two cars, one in front of the other, are traveling down the highway at 25 m/s. the car behind sounds its horn, which has a frequency of 500 hz. what is the frequency heard by the driver of the lead car? (vsound = 340 m/s)
The coriolis effect ________. keeps earth from spinning too fast is caused by the moon results in ice and dark at the poles in winter keeps the wind circulating at constant speed around the planet is caused by earth's rotational forces
A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
its 2 meters per sec
A push or a pull is called _____.
A) work
B) a scalar
C) a force
D) velocity
A push or a pull is called a 'force' in physics. This force can make an object change its velocity, such as starting to move, stopping, or changing its direction.
Explanation:In the field of physics, a push or a pull is referred to as a force. Option C is the correct answer to your question. Forces cause an object to change its velocity, meaning it can start moving, stop moving, or change its direction based on this influence. For example, if you push a stationary bike, it starts to move - that's an illustration of a force at work. Even gravity is a type of force that pulls objects towards the Earth's surface.
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A pendulum of 50 cm long consists of small ball of 2kg starts swinging down from height of 45cm at rest. the ball swings down and strikes a bigger ball. what is the maximum kinetic energy of the 2kg bob
Assuming that all energy of the small ball is transferred to the bigger ball upon impact, then we can say that:
Potential Energy of the small ball = Kinetic Energy of the bigger ball
Potential Energy = mass * gravity * height
Since the small ball start at 45 cm, then the height covered during the swinging movement is only:
height = 50 cm – 45 cm = 5 cm = 0.05 m
Calculating for Potential Energy, PE:
PE = 2 kg * 9.8 m / s^2 * 0.05 m = 0.98 J
Therefore, maximum kinetic energy of the bigger ball is:
Max KE = PE = 0.98 J
True or false: for a low-pressure system to strengthen, the surface air pressure must decrease. select one:
a. True
b. False
What hall voltage is produced by a 0.200-t field applied across a 2.60-cm-diameter aorta when blood velocity is 60.0 cm/s?
What is the correct water depth for an echo travel time of 6 seconds? (for the purposes of this exercise, assume pressure and temperature effects on sound wave velocity are negligible.)?
A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. the pipe is 10 m long, has an inner diameter of 5 cm and pipe wall thickness of 6 mm. the pipe has a thermal conductivity of 17 w/m·k, and the inner pipe surface is at a uniform temperature of 120°c. the temperature drop between the inlet and exit of the pipe is 7°c, and the constant pressure specific heat of vapor is 2190 j/kg·°c. if the air temperature in the manufacturing plant is 25°c, determine the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air.
Without additional information or context regarding the rate of heat transfer or the properties of the fluid flow over the pipe, the heat transfer coefficient cannot be calculated directly from the information provided. Typically, empirical correlations based on experimental data or known flow conditions would be necessary to estimate this coefficient.
Explanation:To calculate the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air, we'd typically use the convection heat transfer equation:
Q = hAΔT
Where Q is the heat transfer rate, h is the heat transfer coefficient, A is the area of the pipe exposed to convection, and ΔT is the temperature difference between the surface and the air. However, additional information is needed to proceed with the calculation, such as the heat transfer rate from the pipe to the air or the convective heat transfer properties of the fluid surrounding the pipe.
In the case provided, without further context or information regarding the rate of heat transfer or properties of the flow over the pipe, the heat transfer coefficient (h) cannot be calculated directly. Usually, in such scenarios, experimental data or empirical correlations are used to estimate the heat transfer coefficient based on the flow conditions (e.g., Reynolds number, Prandtl number).
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"the mass of mars, 6.40 × 1023 kg, is about one-tenth that of the earth, and its radius, 3395 km, is about half that of earth. what is the mean density of mars in kg/m3? "
Roughly what percent of the earth can see a lunar eclipse at one time?
During a lunar eclipse, the half of the planet that is in night mode can see it, because during that type of an eclipse, the earth gets in between the sun and the moon and the reason the moon turns red is because earth's atmosphere bends some light and that light hits the moon.
So roughly, 50% percent of the earth can see a lunar eclipse at one time.
To add, the lunar eclipse is an astronomical phenomenon and happens about two times per year, and a large portion of the Earth can see this type of eclipse, compared to solar eclipses.
Around 75% of the Earth can see a lunar eclipse at any given time due to the duration of the event and the rotation of the Earth.
Roughly 75% of the Earth can see a lunar eclipse at one time. During a lunar eclipse, Earth's shadow covers the entire Moon, and because the event lasts several hours, more people can observe the eclipse as the Earth rotates. In comparison to a solar eclipse, which is visible in a very narrow path on Earth, a lunar eclipse is observable from anywhere on the night side of the Earth. Since the eclipse takes about 5-6 hours from start to finish, different regions come into view of the eclipse over time, allowing for broad visibility.
Where in the ocean does oceanic lithosphere sink into the mantle? answer?