Therefore, the distance from the center to the axle is r = d/2 = 27.5 cm.
On what does the amount of an applied torque depend?The amount of the torque is influenced by the force, its application location, and its direction. The resulting vector's magnitude is r F sin(). r is the distance from the rotational axis to the direction of the force, and is the angle formed by r and F.
The distance from the center of the disk to the rim is d = 55 cm.
the distance from the center to the axle is r = d/2 = 27.5 cm.
Assuming the force is applied perpendicular to the disk, the torque applied by the force is given by:
τ = F * r
This will depend on various factors, such as the mass of the disk, the speed of rotation, and the frictional forces acting on the disk.
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An object has an acceleration of 6m/s/s. If the net force was tripled and the mass was doubled, then the new acceleration would be
Which factor does not affect the strength of an electromagnet?
O A. The number of coils of wire
O B. The material of the core
C. The placement of the ammeter in the circuit
O D. The number of batteries added to the circuit
C. The placement of the ammeter in the circuit
we want a load at the end of a cylinder to be accelerated from 0 to 35 ft/min in 0.5 inches. what is the acceleration force factor, fa, needed for this application? group of answer choices 0.086 0.04 0.255 0.13
The acceleration force factor, fa, needed for this application is 0.086 ft-lb/in. Option A is the correct answer.
The acceleration force factor, fa, is a measure of the force required to accelerate a load over a given distance. It can be calculated using the formula:
fa = (v²) / (2 × d)
where v is the final velocity of the load and d is the distance over which the load is accelerated.
Substituting the given values of v = 35 ft/min and d = 0.5 inches, we get:
fa = (35 ft/min)² / (2 × 0.5 in) = 0.086 ft-lb/in
Therefore, the acceleration force factor needed for this application is 0.086 ft-lb/in, which corresponds to option (a). This means that a force of 0.086 ft-lb is required to accelerate the load from 0 to 35 ft/min over a distance of 0.5 inches.
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The question is -
We want a load at the end of a cylinder to be accelerated from 0 to 35 ft/min in 0.5 inches. what is the acceleration force factor, fa, needed for this application?
group of answer choices,
a. 0.086
b. 0.04
c. 0.255
d. 0.13
What is the speed of a snail moving at a rate of 3 inches per minute in [m/s]? Recall that 1 [m] = 39 [in]. Round to the nearest ten thousandth (4 places after the decimal).
Answer:
0.0013 m/s
Explanation:
Speed in inches per minute = 3 inches per minute
Speed in m/s =?
Next, we shall convert 3 inches per minute (3 in/min) to metre per minute.(m/min)
39 in/min = 1 m/min
Therefore,
3 in/min = 3 in/min × 1 m/min / 39 in/min
3 in/min = 1/13 m/min
Finally, we shall convert 1/13 m/min to m/s. This can be obtained as follow:
1 m/min = 1/60 m/s
Therefore,
1/13 m/min = 1/13 m/min × 1/60 m/s / 1 m/min
1/13 m/min = 1/780 m/s
1/13 m/min = 0.0013 m/s
Thus, 3 in/min is equivalent to 0.0013 m/s.
Therefore the speed of the snail in m/s is 0.0013 m/s
the induced emf in the loop is measured to be v . what is the magnitude b of the magnetic field that the loop was in?
Faraday's law connects induced emf in a wire loop to the change in magnetic flux, allowing the determination of the magnetic field magnitude. The magnetic field B's strength, which the loop was in, can be calculated as follows: \(B = \frac{V}{A \cdot c}\)
The magnetic flux (Φ) through the loop is given by the product of the magnetic field B and the area A:
\(\(\Phi = B \cdot A\)\)
The rate of change of magnetic flux with respect to time is equal to the negative of the rate of change of area:
\(\(\frac{{d\Phi}}{{dt}} = -\frac{{dA}}{{dt}} = c\)\)
Since the induced emf V is measured, we can equate it to the rate of change of magnetic flux:
\(\(V = \frac{{d\Phi}}{{dt}}\)\)
Substituting the expressions for magnetic flux and its rate of change, we have:
\(\(V = -\frac{{dB}}{{dt}} \cdot A\)\)
Solving for the magnitude of the magnetic field B, we get:
\(\(B = -\frac{{V}}{{A \cdot \frac{{d}}{{dt}}}}\)\)
Since dA/dt = -c, we can substitute it into the equation:
\(B = V / (A * c)\)
Therefore, the magnitude of the magnetic field B that the loop was in is given by:
\(B = \frac{V}{A \cdot c}\)
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Complete question :
A loop of wire is at the edge of a region of space containing a uniform magnetic field B⃗ . The plane of the loop is perpendicular to the magnetic field. Now the loop is pulled out of this region in such a way that the area A of the coil inside the magnetic field region is decreasing at the constant rate c. That is, dAdt=−c, with c>0.The induced emf in the loop is measured to be V. What is the magnitude B of the magnetic field that the loop was in?
the portion of the universe that has been selected for analysis is called
A. sample B. frame C. parameter D. statistic
The portion of the universe that has been selected for analysis is called a sample. In statistics and research, a sample refers to a subset of individuals, objects, or events that are selected from a larger population or universe for the purpose of study or analysis. The sample is chosen to represent the characteristics and variability of the entire population.
The process of selecting a sample involves careful consideration of sampling techniques to ensure that it is representative and unbiased. By studying the selected sample, researchers can make inferences and draw conclusions about the larger population.
In contrast, a frame refers to a list or source from which a sample is drawn, typically containing the elements of the population. Parameters are characteristics or properties of the population, while statistics are measurements or summaries obtained from analyzing the sample.
Therefore, the correct answer is A. sample.
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a woodchuck runs 19 m to the right in 4.8 s, then turns and runs 12 m to the left in 5 s. Part (a) What is the magnitude of the average velocity of the woodchuck in m/s?
v=____. PART B What is its average speed in m/s?
The magnitude of the average velocity of the woodchuck is 0.71 m/s. The average speed of the woodchuck is 3.2 m/s.
Right distance = 19m
Time is taken to cover distance = 4.8s
Left distance = 12m
Time is taken to cover distance = 5s
total displacement = 19 m to the right - 12 m to the left = 7 m to the right
A. To calculate the magnitude of the average velocity, we need to find the total displacement and divide it by the total time.
The total time it took for the woodchuck to run both distances is:
The total time = 4.8 s + 5 s
The total time = 9.8 s
The magnitude of the average velocity is:
v = displacement/time
v = 7 m / 9.8 s
v = 0.71 m/s
B. To find the average speed, we need to calculate the total distance traveled and divide it by the total time.
The total distance traveled is = 19 m + 12 m = 31 m
The total time it took for the woodchuck to run both distances is:
The average speed = total distance / total time
The average speed = 31 m / 9.8 s = 3.2 m/s
Therefore we can conclude that the magnitude of the average velocity is 0.71 m/s and the average speed is 3.2 m/s.
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suppose an object is dropped from a lunar cliff and its speed in ft/sec. after t seconds is given by v(t)=5.3t if the object lands after 4 seconds, how high (in ft) is the cliff?
The height of the lunar cliff is 256 ft when an object is dropped from a lunar cliff and its speed in ft/sec. after t seconds is given by v(t)=5.3t.
We can use the formula for distance traveled by an object under constant acceleration to find the height of the lunar cliff. The acceleration of the object is due to gravity and is constant. We can use the formula: d = \((1/2)at^2\), where d is the distance traveled, a is the acceleration and t is the time taken.
In this case, we know the time taken is 4 seconds and the acceleration is due to gravity, which is approximately 32 ft/sec^2 on the moon. Therefore, we have:
d = \((1/2) * 32 * (4)^2\)
d = 256 ft
It is interesting to note that the speed of the object is directly proportional to the time taken, as given by v(t) = 5.3t. This means that after 4 seconds, the object would be traveling at a speed of 5.3 x 4 = 21.2 ft/sec. This is relatively high considering the weaker gravitational pull on the moon compared to the Earth.
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8. what force will exert apressure of
50000 PA
0.5 meter
Square ?
Answer:
25000 N
Explanation:
\(force \: = pressure \times area \\ = 50000 \times 0.5 \\ = 5000 \times 5 \\ = 25000 \: N\)
Find the tension in the two groups that are holding the 2.9 kg object in Pl., One makes an angle of 35.6° with respect to the vertical group 2 is pulling horizontally
Answer:
≈ 20.35 N [newton's of tension]
Explanation:
( (2.9 × 9.8) ÷ cos(35.6°) ) × sin (35.6°) =
( (28.42) ÷ (≈0.813) ) × (≈0.582) =
(≈34.96) × (≈0.582) = 20.3449446.... ≈ 20.35
a sample of radioactive material emits 400000 particles over a period of 20 minutes calculate the activity of the source in Becquerel
The activity of the source in Becquerel is 333.3Bq
What is Activity ?The number of nuclei that disintegrate or decay per unit time is known as Activity.
Given that a sample of radioactive material emits 400000 particles over a period of 20 minutes.
N = 400000 particlest = 20 min = 20 x 60 = 1200 sActivity A = dN/dt
A = 400000 / 1200
A = 333.3 particles / s
A = 333.3 Bq
Therefore,
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(x) A change in position is called:
(a) Speed
(b) velocity
(c) displacement
(d) distance
Answer:
(c) displacement
sure answer...
Hope it helps....Pls mark as Brainliest!!!
Energy sources can be placed in two categories: renewable and nonrenewable. How do you think these two energy sources differ from each other?
Answer:
Renewable energy sources can come again, but nonrenewable is gone forever. For example, coal and gasoline are both nonrenewable.
Explanation:
A tennis ball is dropped off of some stadium bleachers. If the ball was in free fall for 3
seconds, how high were the bleachers( how far did the tennis ball fall)? For acceleration
due to gravity on Earth use 10 m/s².
The height of the bleachers when a tennis ball dropped from the top and takes 3 seconds in flight is 45 m.
What is height?
Height can be defined as the vertical distance between two points.
To calculate the height of the bleachers, we use the formula below.
Formula:
H = ut+gt²/2............ Equation 1Where:
H = Height of the bleachersu = Initial velocity of the tennis ballt = Timeg = Acceleration due to gravityFrom the question,
Given:
u = 0 m/st = 3 secondsg = 10 m/s²Substitute these values into equation 1
H = (0×3)+(10×3²)/2H = 45 m.Hence, the height of the bleachers is 45 m.
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a 500 g model rocket is on a cart that is rolling to the right at a speed of 3.0 m/s. the rocket engine, when it is fired, exerts an 8.0 n vertical thrust on the rocket. your goal is to have the rocket pass through a small horizontal hoop that is 20 m above the ground. at what horizontal distance left of the hoop should you launch?
The rocket should be launched about 12.3 meters to the left of the hoop to pass through it.
First, we need to calculate the time it takes for the rocket to reach the height of the hoop. We can use the kinematic equation:
y = v₁t + 1/2a*t²
Where y is the vertical displacement (20 m), v₁ is the initial vertical velocity (0 m/s), a is the acceleration due to gravity (-9.8 m/s²), and t is the time it takes to reach the height of the hoop.
Plugging in the values, we get:
20 m = 0 + 1/2*(-9.8 m/s²)*t²
Solving for t, we get:
t = √(40/9.8) ≈ 2.02 s
Now we can use the horizontal distance formula:
d = v₁t + 1/2a*t²
Where d is the horizontal distance, v₁ is the initial horizontal velocity (3.0 m/s), and a is the horizontal acceleration due to the rocket engine (unknown).
We know that the vertical thrust of the rocket engine (8.0 N) is equal to the weight of the rocket, so we can find the horizontal acceleration using:
a = F/m = 8.0 N / 0.5 kg = 16 m/s²
Plugging in the values, we get:
d = 3.0 m/s * 2.02 s + 1/2 * 16 m/s² * (2.02 s)²
d ≈ 12.3 m
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If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is: A. Unit elastic B. Elastic C. Inelastic D. Perfectly inelastic
If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is C. Inelastic.
In this scenario, the supply of the good is considered inelastic. The elasticity of supply measures the responsiveness of the quantity supplied to changes in price. When the price of a good decreases, and the quantity supplied decreases by a larger percentage, it indicates that the supply is relatively unresponsive to price changes.
To determine the elasticity of supply, we compare the percentage change in quantity supplied to the percentage change in price. In this case, a 0.3% decrease in price results in a 1% decrease in the quantity supplied. Since the percentage change in quantity supplied (1%) is greater than the percentage change in price (0.3%), the supply is considered inelastic.
Inelastic supply means that producers are less responsive to price changes, and a small change in price leads to a proportionally smaller change in quantity supplied. In such cases, producers may find it challenging to adjust their output levels quickly in response to price fluctuations.
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A graduated cylinder has 35.0 mL of water in it before an object is dropped inside. The new volume is 38.5 mL. What is the volume of the object in cm3?
Answer:
The volume of the object is 3.5cm³
you place a 7/50 kg television set on a spring scale. if the scale reads 78.4 n, what is the acceleration due to gravity at that location?
The acceleration due to gravity is 9.8 m/s^2.
What is gravity?
In mechanics, gravity—also known as gravitation—is the constant force of attraction that pulls all matter together. It has no impact on determining the internal characteristics of common matter because it is by far the weakest known force in nature. In contrast, it governs the structures as well as evolution of stars, galaxies, as well as the entire cosmos through its extensive and universal action, which affects the trajectories of objects in the solar system and throughout the universe. All objects on Earth have a weight, or a gravitational pull downward, proportional to their mass, which is a result of the mass of the planet. The acceleration that gravity gives to objects falling freely serves as a gauge of its strength. The acceleration of gravity at Earth's surface is approximately 9.8 metres (32 feet) per second for every second.
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When equal mass of hot water and oil at the same temperature are allowed to cool water cools slower than the oil why?
It is because water has a higher heat capacity as compared to the heat capacity of oil.
The amount of heat that must be applied to an object in order to cause a unit change in temperature is known as the heat capacity or thermal capacity of that object. Heat capacity is measured in joules per kelvin (J/K), the SI unit.
Heat capacity is an example of extensive property. A physical quantity which is an extensive property has a value that is proportional to the size of the system it describes or the amount of matter present in the system. C stands for the heat capacity of an object.
Because water has a higher specific capacity than oil and must expend more energy to cool down, it does so more slowly when two equal masses of hot water and oil are allowed to cool.
Therefore, When the equal mass of hot water and oil at the same temperature is allowed to cool water cools slower than the oil.
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Could somebody pls help me out with this?
1) You serve a Volleyball with a mass of 1.6kg. the ball leaves your hand with a speed of 25m/s. the ball has________energy. Calculate it.
2) Askateboard is sitting at the top of a hill that is 26m high. the skateboard weighs 2 N. the skateboard has _____energy. Calculate it.
How fast is a horse running if it covers 1.7 miles in 0.5 hours. State your answer in miles per hour.
Answer:
\(\boxed {\tt 3.4 \ mi/hr}\)
Explanation:
To find speed, divide the distance by the time, or use the following formula.
\(s=\frac{d}{t}\)
The distance is 1.7 miles.
The time is 0.5 hours.
\(d= 1.7 \ mi \\t= 0.5 \ hr\)
Substitute the values into the formula.
\(s=\frac{1.7 \ mi}{0.5 \ hr}\)
Divide.
\(s= 3.4 \ mi/hr\)
The speed of the horse is 3.4 miles per hour.
How can a simple machine make it easier to lift a refrigerator?
Select one:
a. It reduces the total amount of work needed to lift a refrigerator.
b. It reduces the force needed to lift the refrigerator.
c. It reduces the distance needed to move the refrigerator.
d. It increases the force needed to lift the refrigerator.
\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)
The Correct choice is A
It reduces the total amount of work needed to lift a refrigerator
8. What is the total mechanical energy of a penny dropped off of the top of the Empire
State Building if it has a potential energy of 47 J, and a kinetic energy of 23 J?
A.18J
B.24 J
C.70 J
D.667 J
Answer:
C 70 Joules because all of the energy of converted to potential energy.
what is the answer log the object that is decelerating?
Answer:
-3.33m/s^2
Explanation:
From the graph, we can read that the object between segments C and D changed its velocity from 10m/s to 0m/s over 3 seconds.
(0m/s - 10m/s) / 3s = -10 / 3 * m/s^2 = -3.3333... m/s^2
Which ecosystem in Southeast Asia has over 6,000 species of plants and 450 species of birds? A. Tropical savanna B. Tropical rainforest C. Grassland D. Deciduous forest Please select the best answer from the choices provided A B C D.
The tropical rainforests of Southeast Asia have over 6,000 species of plants and 450 species of birds.
What are tropical rain forests?
These are the forests that get the most of the year. They are the most diverse forest on the earth such as the amazon.
Tropical savana:These are the forests with very large grasses and occasional trees. They are found in Brazil and India.
Deciduous forests:These are the temperate forests in which trees shed all their leaves in one seson.
Therefore, the tropical rainforests of Southeast Asia have over 6,000 species of plants and 450 species of birds.
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Answer:
Its b. the tropical rainforest
Explanation:
If a 779.29 kg object traveling at 969.39 m/s to the right
experiences a force of 48.4 newton's to the right for 9
seconds, what is its change in momentum?
The change in momentum is 435.6 Kgm/s
What is the change in momentum from Newton's law?Newton's second law of motion states that the rate of change of momentum of an object is directly proportional to the force applied, and the change in momentum takes place in the direction of the applied force.
The mathematical expression of Newton's second law is as follows:
F = dp/dt
where F is the force applied on the object, p is the momentum of the object, and t is time. dp/dt represents the rate of change of momentum over time.
From this equation, we can see that the change in momentum (Δp) of an object due to a force is equal to the product of the force (F) and the time (Δt) over which the force is applied:
Δp = F Δt
From Newton's law;
Ft = mv - mu
Where mv - mu = Δp or change in momentum
Then;
Ft = 48.4 * 9 = 435.6 Kgm/s
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is described as the sum of all the individual resistances in a series.1) Equivalent resistance2) Parallel circuit3) Series circuit4) Short circuit
The sum of all resistances in the series circuit is known as Equivalent resistance.
\(R=r_1+r_2+.\ldots.r_n\)where R is the equivalent resistance.
Hence, option 1 is the correct answer.
why is it far easier to measure e / m experimentally than either e or m individually (not just with this experiment, but with any setup)?
The ease of measuring e/m experimentally comes from the direct observation of charged particles in electric and magnetic fields, the simplification of experimental setups and calculations, and the increased precision due to the cancellation of errors in the ratio.
It's far easier to measure the charge-to-mass ratio (e/m) experimentally than either the charge (e) or mass (m) individually because of the following explained reasons:
1. Direct measurement: Measuring e/m involves directly observing the behavior of charged particles in electric and magnetic fields. This can be done using well-established experimental setups, like the J.J. Thomson's cathode ray tube experiment or the mass spectrometer, where the motion of particles in the fields provides a clear indication of the e/m value.
2. Simplification: When determining e/m, some factors, such as the strength of the electric and magnetic fields and the particle's velocity, can be easily controlled or measured. This simplifies the experimental setup and calculations, making it easier to obtain accurate results.
3. Precision: Measuring e or m individually often requires highly sensitive instruments, as the values of elementary charges and particle masses are very small. These measurements are prone to errors and inaccuracies. However, when measuring e/m, the ratio helps cancel out any errors, leading to more precise results.
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if 500 j of work are required to carry a 40-c charge from one point to another, the potential difference between these two points is:
The potential difference between these two points is 20,000 volts.
We need to know about the potential difference to solve this problem. The potential difference depends on the charge and the radius. It can be written as
V = k . q / r
where V is the potential difference, k is Coulomb's constant (9 x 10⁹ Nm²/C²), q is the charge and r is the radius.
Potential differences can be calculated by using the work. It should follow
V = W . q
where W is work
From the question above, the given parameters are
W = 500 J
q = 40 C
By substituting the given parameters, we can calculate the potential difference
V = W . q
V = 500 . 40
V = 20,000 volt
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A rock is thrown horizontally from a building at 15 m/s. It hits the ground 45 m from the base of the building. How high was the building?
Answer:
Explanation:
hope this helps!