Using the conservation of energy, the spring's potential energy when compressed is converted to the ball's kinetic energy. By calculating the potential energy stored in the spring and equating it to kinetic energy, the maximum speed of a 500 g ball released from a spring compressed by 0.40 m can be determined to be approximately 12.5 m/s.
Explanation:To find out the maximum speed that a spring with a spring constant of 850 N/m can give to a 500 g ball when it is compressed 0.40 m, we use the principle of conservation of energy. The potential energy stored in the compressed spring is fully converted into the kinetic energy of the ball at the moment the spring releases its compression and the ball leaves the spring. We formulate this using Hooke's Law for spring potential energy and the kinetic energy expression.
The potential energy (PE) stored in the compressed spring is given by:
PE = 1/2 k x2, where k is the spring constant and x is the displacement from its equilibrium position.
PE = 1/2 (850 N/m) (0.40 m)2 = 68 J
This energy is converted into kinetic energy (KE) which is given by:
KE = 1/2 m v2, where m is the mass and v is the final speed of the ball.
By setting the potential energy equal to the kinetic energy: 1/2 k x2 = 1/2 m v2, we can solve for v for maximum speed of the 500 g ball.
68 J = 1/2 (0.5 kg) v2
v = sqrt(2 * 68 J / 0.5 kg)
v ≈ 13.07 m/s
Therefore, the closest answer choice to the calculated maximum speed is 12.5 m/s.
If red and yellow paint are mixed together, which color of light will be reflected?
A. Orange
B. Red
C. White
D. Black
A 10.0 cm object is 5.0 cm from a concave mirror that has a focal length of 12 cm. What is the distance between the image and the mirror?
Sound waves require a medium to travel through, such as a solid, liquid or gas because A) waves cannot move through a vacuum. B) sound only works within certain pressures. C) waves only work within certain temperatures. D) sound is molecules bumping into one another. Eliminate
D) sound is molecules bumping into one another.
Explanation:
Sound waves are longitudinal waves generated by the vibrations of the molecules of a medium. These oscillations occur in a direction parallel to the direction of propagation of the wave (longitudinal wave), so basically the wave is transmitted by the collisions between the molecules of the medium, and therefore D. is the correct answer. Morevoer, these oscillations create regions of higher density of molecules (called compressions) and regions of lower density of molecules (called rarefactions).
Jamal does not produce enough insulin to regulate his blood sugar. What part of the endocrine system is most likely being affected??
A. Adrenal gland
B. Pancreas
C. Pituitary gland
D. Testes
What is absolute zero? A. Zero on the Celsius scale B. The point at which all motion stops C. Zero on the Fahrenheit scale D. 273 on the Kelvin scale
Absolute zero is the theoretical lowest temperature at which all molecular motion stops. It's equivalent to -273.15 degrees Celsius or 0 Kelvin.
Explanation:Absolute zero refers to the lowest possible temperature that can be theoretically achieved. It represents the point at which all molecular motion is presumed to stop, which is choice B in your options. However, this doesn't mean that all forms of energy disappear at this temperature - quantum mechanics tells us that minimal vibrations persist even at this extreme. In practical terms, absolute zero is equivalent to -273.15 degrees Celsius, or 0 on the Kelvin scale (not 273 Kelvin as option D suggests). Neither 0 degrees on the Celsius scale (option A), nor 0 degrees on the Fahrenheit scale (option C), is equivalent to absolute zero.
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A horizontal pull A pulls two wagons over a horizontal frictionless floor, the first wagon is 500N, the second is 2000 N. The tension in the light horizontal rope connecting the wagons is.
help explain your answer,
In the following diagram, the voltage is 1.5 volts and the resistance is 6.0 ohms. Use Ohm's law to determine the current in the circuit.
A)0.25 amps
B)4.0 amps
C)6.0 amps
D)9.0 amps
HELP ASAP on a test
The current in the circuit from the voltage 1.5 V and the resistance 6 ohm is 0.25 ampere. Thus, option A is correct.
What is Ohm's law?Ohm's law is defined as the current flow in the circuit is directly proportional to the applied voltage in the circuit. Ohm's law is applicable at a constant temperature.
V∝I, where V is the potential difference and I is the current. Ohm's law can also be defined as, V = IR, and R is the resistance of the circuit. The unit of current is ampere(A).
Resistance is defined as the obstruction in current flow and the unit of resistance is ohm(Ω). Resistance is inversely proportional to the current flow. Resistance increases with the decrease of current and vice-versa.
From the given,
Voltage(V) = 1.5 V
Resistance (R) = 6 Ω
Ohm's law, V = IR
V / R = I
I = 1.5 / 6
= 0.25 A
I = 0.25 ampere
Thus, the current flow in the circuit is 0.25 A. Hence, the ideal solution is option A.
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This is an area of the Solar System located between the orbits of the Mars and Jupiter. It is occupied by numerous irregularly shaped rocky bodies.
What’s the force of a pitching machine on a baseball? Baseballs pitched by a machine have a horizontal velocity of 30 meters/second. The machine accelerates the baseball from 0 meters/second to 30 meters/second in 0.5 seconds. If a baseball has a mass of 0.15 kilograms, the force the machine exerts is newtons. Use F = ma, where .
Answer:
So F=ma
The acceleration of the baseball is:
where and are the final and initial speed of the ball, and is the time interval in which the force acted.
Replacing the numbers, we get
And at this point, we can use Newton's second law F=ma to find the value of the force of the pitching machine:
Elements can be broken down through ____ processes.
A. Chemical processes, but not nuclear
B. only biological
C. both chemical and nuclear
D. Nuclear processes, but not chemical
Answer: I believe the answer is: Nuclear processes, but not chemical
Explanation:
the mass of a proton is 1.6726 * 10^-24 and the mass of a electron is 9.1093 * 10^-28. What is the difference between the mass of a proton and the mass of an electron?
Answer:
Its C
Explanation:
1.6735 × 10–27
Which of the following does the endocrine system regulate??
A. Hormones
B. Reflexes
C. Respiration
D. Senses
Answer: Your answer would be A Hormones
Hope this helped XD
A 33.0 g iron rod, initially at 22.7 ∘c, is submerged into an unknown mass of water at 63.3 ∘c, in an insulated container. the final temperature of the mixture upon reaching thermal equilibrium is 58.5 ∘c. part a what is the mass of the water? express your answer to two significant figures and include the appropriate units.
When the current is the same through all of the resistors and the batteries of a circuit, you have resistors in __.
A. parallel
B. series
C. both parallel and series
D. series and parallel circuits
When the current is the same through all the resistors and the batteries of a circuit, you have resistors in series. Option B is correct.
In the series circuit, the amount of current flowing through any component in a series circuit is the same and the sum of the individual resistances equals the overall resistance of any series circuit.
The voltage in a series circuit, the supply voltage, is equal to the total of the individual voltage drops.
Components linked in series share a single “electrical route,” and each component receives the same current, which is equal to the network's current.
When the current is the same through all the resistors and the batteries of a circuit, you have resistors in series.
Hence,option B is correct.
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What is the average power output of a weight lifter who can lift 260 kg from the floor to a height of 1.60 m in 1.7 seconds?
A 1.80 m radius playground merry-go-round has a mass of 120 kg and is rotating with an angular velocity of 0.330 rev/s. what is its angular velocity, in rev/s, after a 27.5 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
To find the final angular velocity of the merry-go-round after the child gets on it, we use the conservation of angular momentum. By setting the initial and final angular momenta equal, we can solve for the final angular velocity. The final angular velocity is found to be approximately 0.301 rev/s.
Explanation:To find the angular velocity of the merry-go-round after the child gets on it, we need to consider the conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum after the child grabs the outer edge. The initial angular momentum of the system is calculated as the product of the moment of inertia of the merry-go-round and its initial angular velocity. The final angular momentum is calculated as the sum of the moment of inertia of the merry-go-round and the child and the final angular velocity.
Let's denote the initial angular velocity of the merry-go-round as ω1, the final angular velocity as ω2, the moment of inertia of the merry-go-round as I1, the moment of inertia of the child as I2, the radius of the merry-go-round as R, the mass of the merry-go-round as M, and the mass of the child as m.
The initial angular momentum is given by:
L1 = I1 * ω1
And the final angular momentum is given by:
L2 = (I1 + I2) * ω2
Setting the initial and final angular momenta equal, we have:
I1 * ω1 = (I1 + I2) * ω2
Rearranging the equation, we can solve for ω2:
ω2 = (I1 * ω1) / (I1 + I2)
Substituting the given values, we have:
ω2 = (120 kg * (1.80 m)^2 * 0.330 rev/s) / ((120 kg * (1.80 m)^2) + (27.5 kg * (1.80 m)^2))
Simplifying the expression, we can calculate the final angular velocity:
ω2 ≈ 0.301 rev/s
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Peter and Paul both had a great influence on the early church. True False
Answer:
The answer would be TRUE
Peter and Paul did have a great influence on the early church.
What is one way you can destroy a magnet’s magnetism? a. by putting it in water b. by cooling it c. by heating it d. by breaking it into pieces
the answer is C LOLOLO
Which is a drawback of agricultural technology?
A. Better communication
B. Prevents disease
C. Water pollution
D. Kills bugs
please help me :)
A Ferris wheel at a carnival has a diameter of 62 feet. Suppose it turns at a rate of 70 revolutions per hour.
(a) Find the angular speed of the wheel in radians per hour.
(b) Find the linear speed of a passenger in feet per minute.
Do not round any intermediate computations, and round your answer to the nearest whole number.,
(a) Angular Speed is 140π radians per hour.
(b) The linear speed of a passenger on the Ferris wheel is approximately 3.249 feet per minute.
To find the angular speed of the Ferris wheel in radians per hour, you can use the following formula:
Angular Speed (ω) = (2π * Number of Revolutions) / Time
(a) Angular Speed in Radians per Hour:
Number of Revolutions = 70 revolutions
Time = 1 hour
ω = (2π * 70) / 1
ω = 140π radians per hour
Now, to find the linear speed of a passenger in feet per minute, you need to consider the circumference of the Ferris wheel.
(b) Circumference of the Ferris Wheel:
The diameter of the Ferris wheel is given as 62 feet, so the radius (r) is half of that, which is 31 feet. The circumference (C) of the wheel is given by:
C = 2πr
C = 2π * 31 feet
C ≈ 194.94 feet
Now, to find the linear speed (v) in feet per minute, you can use the formula:
Linear Speed (v) = (Circumference / Time)
Time in this case is 1 hour, which is equivalent to 60 minutes:
v = 194.94 feet / 60 minutes
v ≈ 3.249 feet per minute
Hence, the linear speed of a passenger on the Ferris wheel is approximately 3.249 feet per minute.
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The three classes of rocks are sedimentary, metamorphic, and igneous. How are rocks classified into one of these three groups? A. According to the type of minerals present in the rock B. According to how many times they have been through the rock cycle C. According to the method of their formation D. According to the amount of weathering they have endured Rese
the answer is C. according to the method of their information
Question 1 Unsaved
Most of the mass of the solar system is located in which of the following?
Question 1 options:
Earth
comets
sun
Jupiter
Answer:
The Sun
Explanation:
Did the test, k12
Is it accurate to describe the physical universe as composed of only matter and energy?
Plz explain , many thanks!
You have been mining for gold and you have found a nugget and are about to be rich. The density of the gold is 19.3 grams/cubic centimeter or g/cc.
Your sample has a mass of 972 grams and is nearly a perfect cube, each side measuring 3 cm.
Find the the density of your sample (HINT: you must find the volume of the cube first).
After you've done this compare the given density of gold to your calculated value. Is your sample pure gold? EXPLAIN.
If the Earth and distant stars were stationary (motionless) in space, what would we observe about the wavelength from these stars?
A.Wavelengths measured would match the actual wavelengths emitted.
B.Wavelengths measured would be shorter than the actual wavelengths emitted.
C.Wavelengths measured would be longer than the actual wavelengths emitted.
If a star is moving toward us in space, what would we observe about the wavelength from these stars?
A.Wavelengths measured would be shorter than the actual wavelengths emitted.
B.Wavelengths measured would match the actual wavelengths emitted.
C.Wavelengths measured would be longer than the actual wavelengths emitted.
Derek reads a rate of 25 words per min. How long would it take him to read a 225 work article if he read at a constant rate without stopping
In order to effectively radiate a radio signal, an antenna must be at least one-half the wavelength of transmission in length, i.e., minimum antenna height = 1/2(λ). WITY operates at a frequency of 980.0 kHz. What is the minimum height (m) of the antenna that WITY (nostalgia radio) must have?,
The wavelength of the is the distance of corresponding points between the two consecutive waves.
The minimum height (m) of the antenna that WITY (nostalgia radio) must have is 153.06 meters.
What is the wavelength?The wavelength of the is the distance of corresponding points between the two consecutive waves.
It can be given as,
[tex]\lambda=\dfrac{c}{f}[/tex]
Here [tex]c[/tex] is the speed of light and [tex]f[/tex] is the frequency of the wave.
Given information-
The minimum height of the antenna is 1/2(λ).
The frequency on which the radio operates is 980.0 kHz.
As the speed of light is [tex]3\times 10^8\rm m/s[/tex]. Thus, find the value of wavelength using the above formula first,
[tex]\lambda=\dfrac{3\times 10^8\rm}{980\times10^3}\\\lambda=306.122\rm m[/tex]
Suppose the minimum height of the antenna is x meters. As the minimum height of the antenna is 1/2(λ). Thus,
[tex]x=\dfrac{1}{2} \times306.122\\x=153.06[/tex]
Hence, the minimum height (m) of the antenna that WITY (nostalgia radio) must have is 153.06 meters.
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If a car goes along a straight road heading east and speeds up from 45ft/s to 60ft/s in 5s , calculate the acceleration
A motorboat, whose speed in still water is 15 km/hour, traveled with the current of a river for 35 km, and against the current for 25 km. the boat took the same time traveling with the current as it did traveling against the current. what is the speed of the current in the river?
Halfway though a cross-country meet,a runner’s speed is 4m/s.In the last stretch,she increases her speed to 7m/s.What is her change in speed?
Answer:
The change in speed is 3m/s
Explanation:
The change is speed is defined as the difference between final and initial speed:
ΔV=[tex]V_{2}-V_{1}[/tex]
where V2 and V1 are the final and initial speeds, respectively.
Plugging in the values
ΔV=7m/s-4m/s=3m/s