The angular speed of a body that is rotating counterclockwise changes from 2 rad/s to 6 rad/s in 4 s. What is the average angular acceleration?
The average angular acceleration of the body that is rotating counterclockwise, with a change in angular speed from 2 rad/s to 6 rad/s in 4 seconds, is 1 rad/s².
We can use the formula for average angular acceleration
average angular acceleration = (final angular speed - initial angular speed) / time interval
where the final and initial angular speeds are in radians per second (rad/s) and the time interval is in seconds (s).
Using the given values, we have
final angular speed = 6 rad/s
initial angular speed = 2 rad/s
time interval = 4 s
So, the average angular acceleration is
average angular acceleration = (6 rad/s - 2 rad/s) / 4 s = 1 rad/s²
Therefore, the average angular acceleration of the rotating body is 1 rad/s².
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The angular resolution of a ground-based telescope is usually determined by:
For telescopes in general, ever since they were invented, it's the size of the objective lens (in the front) or mirror (in the back).
For the most hugest humongous telescopes, built in the past few decades, it's limited by the turbulence of the atmosphere. That's the main reason we started building the big ones on mountain tops and in deserts, and lately we've started putting them in Earth orbit, where they don't have to look through any air at all.
normal hearing falls within the range of ________ db.
Normal hearing falls within the range of 0 to 20 decibels (dB).
Decibels are a unit of measurement used to quantify sound intensity or loudness. In the context of hearing, decibels are used to measure the minimum sound level that a person with normal hearing can perceive across different frequencies.
The range of 0 to 20 dB represents the threshold of normal hearing, where an individual can detect sounds of various frequencies without any difficulty. This range includes the typical everyday sounds we encounter, such as conversations, background noise, and environmental sounds.
Sounds below 0 dB are considered quieter than the threshold of normal hearing, while sounds above 20 dB start to become louder and can potentially cause discomfort or damage to the ears, especially at higher levels.
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True/False. neutron stars are the densest objects that we can directly observe in the universe.
True. Neutron stars are some of the densest objects that we can directly observe in the universe. These stars are formed when a massive star undergoes a supernova explosion, and the core of the star collapses under its own gravity, creating a super-dense object that is composed almost entirely of neutrons.
The Neutron stars have a mass similar to that of the sun but are only about 10 miles in diameter, making them incredibly compact. Because of their extreme density, neutron stars have very strong gravitational fields and can cause the space around them to warp and bend. They also emit intense radiation, including X-rays and gamma rays, which can be detected by telescopes. Studying neutron stars can provide insights into the fundamental properties of matter, as well as the processes that occur in the most extreme environments in the universe.
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If 8.0 J of work is done in lowering a 343 g microscope down a well, how far did it go?
The microscope went approximately 2.33 meters down the well.
To determine the distance the microscope traveled down the well, we need to use the work-energy principle. The work done on an object is equal to the change in its potential energy.
Given that 8.0 J of work was done, we can equate this to the change in potential energy:
Work done = Change in potential energy
The potential energy of an object near the Earth's surface is given by the equation:
Potential energy = mass × acceleration due to gravity × height
Rearranging the equation, we can solve for the height:
Height = Work done / (mass × acceleration due to gravity)
Plugging in the given values:
Work done = 8.0 J
Mass = 343 g = 0.343 kg (converting to kilograms)
Acceleration due to gravity = 9.8 m/s² (approximately)
Height = 8.0 J / (0.343 kg × 9.8 m/s²)
Calculating the height:
Height ≈ 2.33 meters
Therefore, the microscope went approximately 2.33 meters down the well.
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Three identical charges +q and a fourth charge -q forma square of side a. (a) Find the magnitude of theelectric force on a charge +Q placed at the center ofthe square. (b) Describe the direction of this force.
Using Coulomb's law, which states that the force among two charged particles is related to the sum of the magnitudes of the charges and inversely proportional to the square of the distance between them.
(a) Coulomb's law can be used to calculate the strength of the electric force acting on a charge +Q positioned in the middle of the square: \(F = k \times Q \times \frac{q}{r2},\)
Where k is the Coulomb's constant \((8.99 \times 109 N \times\frac{m2}{C2})\),
Q is the size of the charge +Q, q is the size of the identical charges +q, and r is the distance between +Q and each of the charges (which is equal to the side length of the square, a).
Given that there are four charges +q that are equal, the total force can be calculated by adding the forces from each charge +q:
\(F = 4 \times k \times Q \times \frac{q}{a^2}\)
(b) The force is moving in the direction of the square's centre.
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All elements are composed of extremely small particles called
a disk, with radius 0.25 m and mass 4 kg, lies flat on a smooth horizontal tabletop. a string wound about the disk is pulled with a force of 8n. what is the angular acceleration of the disk?
A disk, with radius 0.25 m and mass 4 kg, lies flat on a smooth horizontal tabletop. A string wound about the disk is pulled with a force of 8n. The angular acceleration of the disk is 4 rad/s².
The angular acceleration of a disk can be determined using Newton's second law for rotational motion, which states that the torque acting on an object is equal to its moment of inertia multiplied by its angular acceleration.
In this case, the torque (τ) is caused by the force (F) acting on the string, and the moment of inertia (I) of the disk is given by the formula I = (1/2)MR², where M is the mass and R is the radius of the disk.
Given the values:
- Radius (R) = 0.25 m
- Mass (M) = 4 kg
- Force (F) = 8 N
First, calculate the moment of inertia (I):
I = (1/2) * 4 kg * (0.25 m)² = 0.5 kg m²
Next, determine the torque (τ) caused by the force (F):
τ = F * R = 8 N * 0.25 m = 2 N m
Now, use Newton's second law for rotational motion to find the angular acceleration (α):
τ = I * α => α = τ / I = 2 N m / 0.5 kg m² = 4 rad/s²
So, the angular acceleration of the disk is 4 rad/s².
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it is a set of measure designed to determine the level of physical fitness?
plss Pa answer po(^_^)
The PFT or physical fitness test is a set of measures designed to determine the level of physical fitness.....
The goalkeeper is the only player allowed to use their hands OA True OB. False
Answer:True
Explanation:
The Mars rover, Curiosity, has a maximum speed of only 0.14km/h. If Curiosity travels North for 60.0s, what is its displacement?
The displacement of Curiosity is 2.334 m
The given parameter:
maximum speed of Curiosity, v = 0.14 km/hr
time of motion of Curiosity = 60 s
To find:
the displacement of CuriosityThe displacement of Curiosity is calculated as follows;
convert the speed in km/hr to m/s by dividing by 3.6 km/hr0.14 km/hr = 0.0389 m/sThe displacement of Curiosity = speed x time
The displacement of Curiosity = 0.0389 m/s x 60 s
The displacement of Curiosity = 2.334 m
Thus, the displacement of Curiosity is 2.334 m
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A baseball pitcher throws a baseball with a speed of 42 m/s. Estimate the average acceleration of the ball during the throwing motion. In throwing the baseball, the pitcher accelerates the ball through a displacement of about 3. 5 m, from behind the body to the point where it is released
The average acceleration of the baseball during the throwing motion is approximately 635.2 m/s^2.
We can use the following equation to calculate the average acceleration of the ball,
a = (v_f - v_i) / t
where a is the average acceleration, v_f is the final velocity (in this case, the velocity of the ball when it is released), v_i is the initial velocity (in this case, the velocity of the ball when it is behind the pitcher's body and has not yet been thrown), and t is the time taken to throw the ball.
We know that the speed of the ball when it is released is 42 m/s, and we can assume that it starts from rest when it is behind the pitcher's body.
v_f = 42 m/s
v_i = 0 m/s
We also know that the ball is thrown through a displacement of 3.5 m, and we can estimate the time taken to throw the ball using the average speed of the throwing motion. Let's assume that the average speed of the throwing motion is half the speed of the ball when it is released, or 21 m/s. Then, the time taken to throw the ball is,
t = d / v_avg
t = 3.5 m / 21 m/s
t = 0.1667 s
Now we can plug in our values for v_f, v_i, and t to find the average acceleration,
a = (42 m/s - 0 m/s) / 0.1667 s
a = 251.99 m/s^2
The acceleration due to gravity is approximately 9.81 m/s^2, so we can add this to our previous calculation to get,
a_avg = a + g
a_avg = 251.99 m/s^2 + 9.81 m/s^2
a_avg = 635.2 m/s^2
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An object is moving to the left and is experiencing a net force to the left. The magnitude of the force is decreased with time. The speed of the object is:
A. Decreasing.
B. Increasing.
C. Constant in time.
The speed of the object is: C. Constant in time.
The object is moving to the left and is experiencing a net force to the left. This means that there is an unbalanced force acting on the object, which is causing it to accelerate to the left.
If the magnitude of the force is decreasing with time, then the acceleration of the object is also decreasing with time. This means that the object's velocity is changing at a decreasing rate.
Therefore, the speed of the object is:
C. Constant in time.
While the object is accelerating, its speed can still be constant if the acceleration is perpendicular to its motion, such as in circular motion. However, in this case, since the acceleration is in the same direction as the object's motion, the speed is not increasing.
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Draw a circuit in series, 6 lamps, 3 electrical equipment, 1 power source, open
3 electrical equipments consider for this circuit diagram are,
1. Ammeter
2. Resistance
3. Resistance
The circuit diagram with 6 lamps and 3 electrical equipments and 1 power source with open circuit form is represented as,
g is the temperature of a metal rod measured in at a distance x inch from one end of the rod, then the units of measure of the derivative are
The units of measure of the derivative of g with respect to x (dg/dx) would be units of temperature per inch (e.g. °F/inch or °C/inch).
The derivative of a function is a measure of how the function is changing with respect to its independent variable. In this case, g represents the temperature of a metal rod, and x is the distance from one end of the rod.
Therefore, the derivative of g with respect to x (dg/dx) gives us the rate at which the temperature is changing with respect to distance.
The units of measure for the derivative will be the units of the dependent variable (temperature) divided by the units of the independent variable (distance).
For example, if g is measured in degrees Celsius and x is measured in inches, then the derivative dg/dx would have units of degree Celsius per inch (°C/inch).
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Which statement below BEST explains global warming?
B. an increase in the concentration of ozone
C. a decrease in the amount of deforestation
A. an increase in Earth's average surface temperature
D. an increase in the temperature of the oceans
The correct answer is A. an increase in Earth's average surface temperature.
While all of these are aspects of global warming, option A best summarizes it.
help please please please please
Answer:
lol can u tell what to help u with. cause I didn't understood
PLEASE HELP (NO LINKS!)As the pendulum swings from position A to position B, what is the
relationship of kinetic energy to potential energy (neglect friction)? (5
points)
The kinetic energy increase is equal to the potential energy decrease.
The potential energy increase is equal to the kinetic energy decrease.
The kinetic energy and potential energy remain the same.
The kinetic energy increase is more than the potential energy decrease.
Answer:
the kinetic energy decrease is equal to potential energy increase
If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.
what is conservation of energy?According to the work power theorem the total energy of any object will remain constant like the sum of the kinetic and the potential energy of the object will remain constant.
The potential energy of any object is due to its position with respect to the ground. If the object is at a height of H then it will have a potential energy because some energy is given to that object against the gravity to move it to the height H.
The kinetic energy is the energy due to the velocity of the object and is given as the product of half mass to the velocity square.
Now we will express it in the form of the formula for better understanding .
\(\rm Total\ energy= KE+PE\)
Now in the pendulum the motion is back and forth with respect to its mean position. So the total energy in the pendulum is the sum of the kinetic energy and the potential energy.
Now if the pendulum attains the maximum displacement from its mean position then it will have maximum potential energy and zero kinetic energy at this point.
Now if the pendulum is at the mean position now it will have maximum kinetic energy and zero potential energy at this point.At this point the potential energy totally converted to the kinetic energy.
Now at the maximum displacement the kinetic energy totally converts into the potential energy of the pendulum.
Thus If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.
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A new born baby weights 7.15 lbs how many meters is that
Answer: 114.543 i think
help in solving this question please
(question is on the picture )
Answer:
Jesus
Explanation:
he is the way
how much power is required to do 200 joules of work in 4 seconds?
what's Given:
asked:
formula:
substitute:
final answer:
a water tank in the shape of a hemispherical bowl of radius 5 m5 m is filled with water to a depth of 2 m.2 m. how much work is required to pump all the water over the top of the tank? (the density of water is 1000 kg/m31000 kg/m3 ). (use symbolic notation and fractions where needed.) W
The work required to pump all the water over the top of the tank of radius 5 m and depth 2 m is 5.12 x 10^6 J.
The work required to pump the water over the top of the tank is equal to the gravitational potential energy of the water inside the tank.
The potential energy is given by the following equation,
U= mgh
Here, m is the mass of water present inside the tank.
We know that, Density( Mass/Volume
Hence, m= Density x volume
So, the equation becomes
U= ρ x V x g x h
Where V is the volume of hemispherical tank= 2/3π x r^3
Putting the given values in the above equation,
U= 1000 x 2/3 x 3.14 x 53 x 9.8 x 2 = 5.12 x 10^6 J
Hence, the work required to pump all the water over the top of a tank of radius 5 m and a depth of 2 m is 5.12 x 10^6 J.
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Which direction does heat flow from?
hot to cold
cold to hot
hot to hot
cold to cold
Answer:
A.) Hot to cold.
Explanation:
I took the quiz on Edge, 2022.
(See the attachment below.)
Hope this helped! <3
Based on scientific information, the direction that heat generally flow from is: A. hot to cold.
What is heat?Heat is also known as thermal energy and it refers to a form of energy that is only transferred from an object to another due to a difference in temperature.
During the process of heat conduction, heat would only be transferred between objects that are having different levels of temperature and objects that are directly in contact with one another.
In conclusion, heat is generally transferred from a hot object to a cold object as a result of their varying temperature.
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A small car increases its speed from 10 m/s to 15 m/s. Its mass is 1,200 kg. What is the impulse?
A. 6,000 kg-m/s
B. 18,000 kg-m/s
C. 12,000 kg.m/s
D. 1,200 kg-m/s
Answer:
A
Explanation:
We know that impulse(J) is the force times the change in time OR mass times the change in velocity. Because we're given mass and a final and initial velocity, we'll use the second option written as:
mΔv=J
Since Δ means change in, and Δv= vf-vi, we subtract 10 m/s from 15 m/s to get 5 m/s for Δv.
Now plugging in Δv and m(1,200 kg)
1,200 kg * 5 m/s =J
6000 kg* m/s = J
A fault in the switch caused a householder to receive a mild electric shock before a safety device switched the circuit off.
The mean power transfer to the person was 5.75 W.
The potential difference across the person was 230 V.
Calculate the resistance of the person
The resistance of the person is 9200 Ω if a fault in the switch is caused by a householder to receive a mild electric shock with the mean power transfer to the person as 5.75 W and potential difference across the person as 230 V.
The resistance of the person can be calculated using Ohm’s law.
Ohm’s law states that the potential difference across a conductor is directly proportional to the current flowing through it, provided that its temperature and other physical conditions remain constant.
It can be expressed as: V = IR,
where V is the potential difference, I is the current, and R is the resistance of the conductor.
Rearranging the equation, we get: R = V/ I.
Given that the mean power transfer to the person was 5.75 W and the potential difference across the person was 230 V, the current flowing through the person can be calculated using the formula:
P = IV
where P is the power ,V is the potential difference and I is the current flowing through the person
Rearranging the equation, we get: I = P/V
Substituting the given values, we get:
I = 5.75/230 = 0.025 A
Therefore, the resistance of the person can be calculated as:
R = V/I = 230/0.025 = 9200 Ω
Hence, the resistance of the person is 9200 Ω.
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helpppppppppppppppppppppppppp
Answer:
should be D
Explanation:
pls make this the brainliest
Cart A has a mass of 2 kilograms and a speed of
3 meters per second. Cart B has a mass of 3
kilograms and a speed of 2 meters per second.
Compared to the inertia and magnitude of
momentum of cart A, cart B has
Cart B has more inertia and the same amount of momentum compared to Cart A's inertia and magnitude of momentum.
What impact does the cart's bulk have on how it moves?The cart moves more slowly because a greater mass with higher inertia must be moved by the same force. This cart's momentum also rises as a result of its increasing bulk. Due to its larger momentum, it pushes the other cart harder.
How is impulse determined?p is equal to F net t. The impulse-momentum theorem refers to the relationship between the expressions F net t and F net t. We can observe that the impulse is equal to the average net external force times the length of time that force is in effect.
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What is produced by a stream of electrons flowing through a wire that is coiled around an iron core?
an atomic field
a radiation field
a magnetic field
a static field
A magnetic field is produced by a stream of electrons flowing through a wire that is coiled around an iron core. Option c is correct answer.
When a current flows through a wire, it produces a magnetic field around the wire. When the wire is coiled around an iron core, the magnetic field is intensified because iron is a ferromagnetic material that can be magnetized easily.
The direction of the magnetic field around the wire depends on the direction of the current flow. The right-hand rule can be used to determine the direction of the magnetic field. If you wrap your right hand around the wire with your fingers pointing in the direction of the current flow, your thumb will point in the direction of the magnetic field. The answer is option c.
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the chemically active material on a battery’s negative plates is lead peroxide. true or false
The given statement "the chemically active material on a battery’s negative plates is lead peroxide" is False. The chemically active material on a battery's negative plates is not lead peroxide.
It is typically lead, while the positive plates of a lead-acid battery contain lead dioxide. In a lead-acid battery, the negative plate is made of sponge lead, which is a porous form of lead.
The positive plate, on the other hand, is made of lead dioxide (\(PbO_{2}\)). Lead peroxide (\(PbO_{2}\)) is commonly used in the positive plates of other types of batteries, such as nickel-cadmium batteries, but not in lead-acid batteries.
Therefore, the statement that lead peroxide is the chemically active material on a battery's negative plates is false.
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How do electromagnetic and mechanical waves compare?