A 0.5 kg ball that was initially at rest gains a speed of 4 m/s as soon as it is kicked with a force of 20 n. For the ball to be acted upon, 0.1 seconds will pass.
data provided:
mass (m)= 0.5 kilogram
v= 4meter / second
Force(F)= 20 N
impulse (F×Δt) : momentum relation
impulse= F×Δt= m×Δv
(impulse of a system is equal to net change in momentum)
F×Δt=mv
putting the given data in above equation
F×Δt=mv
Δt= mv÷ F
Δt= 0.5 kg×4 m/sec÷20 N
Δt= 2.0÷20
Δt= 0.1 second
Mass: There are several conceptions of mass in contemporary physics that are theoretically different but practically equivalent. The resistance of the body to acceleration (change of velocity) when a net force is applied may be measured experimentally as mass.
Speed: In physics, speed is a scalar, which means it has just magnitude. It indicates the amount of time needed to travel between two points. How does physics determine speed? In order to calculate speed in physics, you must divide the distance between two points by the amount of time it takes to get there.
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A RAU80 with 4-lanes and a design radius of 300m requires a spiral-circular curve-spiral transition system, the deflection angle at the Point of Intersection is 16d30m14.0s.
a) Using Superelevation and Minimum Spiral Parameters, emax = 0.06 m/m what is the minimum recommended spiral parameter?
b) Determine the distance P
c) Determine the distance Q
d) Determine the angle Φs
e) Determine the distance Tc
A) Minimum recommended spiral parameter: 150.03m.
b) Distance P: 150.03m.
c) Distance Q: 4.122m.
d) Angle Φs: 16°30'14.0".
e) Distance Tc: 150.03m.
a) Calculation for the minimum recommended spiral parameter:
Design radius (R) = 300 m
Maximum superelevation (e_max) = 0.06 m/m
Spiral Parameter (A) = (R + e_max) / 2
A = (300 m + 0.06 m/m) / 2
A ≈ 150.03 m
b) Calculation for the distance P:
Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.
P ≈ 150.03 m
c) Calculation for the distance Q:
Distance Q represents the length of the circular curve. It is given by the formula:
Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)
Deflection angle at Point of Intersection = 16°30'14.0"
Converting the angle to decimal degrees:
16° + (30'/60) + (14.0"/3600) = 16.504°
Q = 16.504° / (360° / D)
Q ≈ D / 21.814
Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.
Q ≈ 90° / 21.814
Q ≈ 4.122 m
d) Calculation for the angle Φs:
The angle Φs is the deflection angle at the Point of Intersection.
Φs = 16°30'14.0"
e) Calculation for the distance Tc:
Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.
Tc ≈ 150.03 m
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Help me plzzzzz
Will give Brainlyest
[Questoin 1] Volume
"Charles's law is an experimental gas law that describes how gases tend to expand when heated." Expand = volume, so this answer is correct
[Question 2] b) move faster
An increase in heat is an increase in energy, which is an increase in particle movement. This means that b is correct, because the particles will be moving faster
[Question 3] a) Celsius
Charles' Law uses Celsius, so when doing Charles' Law problems you should use Celsius, aka °C
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
n consideration for the obligation to others a. we have no genuine moral obligations to future generations. b. the U.S. uses more than its proportional share of the world's resources. c. environmental protection is always a static trade-off, with a fixed economic price to be paid for the gains we want. d. future people have a right to be born.
a. We have no genuine moral obligations to future generations. This means that there is no inherent ethical responsibility towards the well-being and interests of those who will come after us.
Determine the statement?The statement suggests that we do not have any genuine moral obligations towards future generations. This perspective questions the ethical responsibility we have towards those who will come after us.
It implies that our actions and decisions should not be guided by considerations for the well-being and interests of future generations.
However, this view is subject to debate and ethical considerations vary among individuals and cultures.
It is important to note that moral obligations to future generations are often discussed within the context of sustainable development and intergenerational equity. Many argue that we have a responsibility to ensure the long-term viability of the planet and its resources for the benefit of future generations.
This includes addressing issues such as climate change, environmental degradation, and social justice. While different perspectives exist, recognizing and fulfilling our moral obligations to future generations can contribute to a more sustainable and equitable future.
Therefore, (a) We are not morally obliged to prioritize the well-being and interests of future generations, indicating that there is no inherent ethical responsibility towards them.
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Danny lowers the sails on his boat. He paddles upstream at 19 km/hr. The current is still running downstream at 15 km/hr. What is the actual velocity of the boat?
Answer:
4 km/hr
Explanation:
The computation of the actual velocity is shown below:
Because the path of its paddles is opposed to the current direction, the real velocity can be determined by deducting the current velocity to its velocity while paddling
So, the actual velocity is
= Upstream - downstream
= 19 km/hr - 15 km/hr
= 4 km/hr
As we can see it is in positive, so it is an upstream direction
Answer:
since the direction of his paddles is opposite of the the direction of the current, so the actual velocity can be calculated by subtracting the velocity of current to to his velocity when paddling
v = 19 - 15
v = 4 since the answer is positive, then the direction is upstream
Explanation:
PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (60pts)
Answer:
Weight
Explanation:
"An object will float if the buoyancy force exerted on it by the fluid balances its weight, i.e. if FB=mg F B = mg . But the Archimedes principle states that the buoyant force is the weight of the fluid displaced. So, for a floating object on a liquid, the weight of the displaced liquid is the weight of the object."
Hope this helps! :)
The Physics of Energy | 1st Edition Chapter 31, Problem 1P Compute the pressure at a depth Z below the surface in a reservoir behind a hydroelectric dam. Compute the work done by a volume of water as it passes from this pressure on one side of a turbine to essentially zero pressure on the other side. Show that this analysis yields the same formula (31.2)[P = e * dV/dt = rho * g * Z * e * Q] for the power output as the energy analysis presented in §31.1.1.
The analysis using pressure and work yields the same formula for power output as the energy analysis presented in §31.1.1.
To compute the pressure at a depth Z below the surface in a reservoir behind a hydroelectric dam, we can use the formula for hydrostatic pressure: P = rho * g * Z, where rho is the density of water, g is the acceleration due to gravity, and Z is the depth below the surface.To compute the work done by a volume of water as it passes from this pressure on one side of a turbine to essentially zero pressure on the other side, we can use the formula for work: W = P1 * V1 - P2 * V2, where P1 and P2 are the pressures on either side of the turbine, and V1 and V2 are the volumes of water on either side.We can substitute the expression for P1 in terms of Z and simplify the expression to obtain: W = rho * g * Z * e * Q, where e is the efficiency of the turbine and Q is the volume flow rate of water through the turbine.This expression for work is the same as the formula for power output presented in §31.1.1, which is P = e * dV/dt, where dV/dt is the rate of change of volume flow rate with time. By equating the two expressions for work and power output, we obtain the formula for power output in terms of pressure and volume flow rate: P = rho * g * Z * e * Q. Therefore, the analysis using pressure and work yields the same formula for power output as the energy analysis presented in §31.1.1.For more such question on power
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if the jet in ngc 5128 is traveling at 5000 km/s and is 40 kpc long, how long will it take for gas to travel from the core of the galaxy to the end of the jet?
It would take approximately 2.4688 × 10^17 seconds or 7.82 million years for gas to travel from the core of the galaxy to the end of the jet, assuming a constant speed of 5000 km/s.
To calculate the time it would take for gas to travel from the core of the galaxy to the end of the jet, we need to use the formula: time = distance / speed.
Given that the jet in NGC 5128 is traveling at 5000 km/s and is 40 kpc (kiloparsecs) long, we first need to convert the distance from kpc to km. 1 kpc = 3.086 × 10^16 meters, which means 1 kpc = 3.086 × 10^19 km.
Therefore, the length of the jet in kilometers is 40 x 3.086 × 10^19 km = 1.2344 × 10^21 km.
Now we can calculate the time it would take for gas to travel from the core of the galaxy to the end of the jet as follows:
time = distance / speed
time = 1.2344 × 10^21 km / 5000 km/s
time = 2.4688 × 10^17 seconds
So, it would take approximately 2.4688 × 10^17 seconds or 7.82 million years for gas to travel from the core of the galaxy to the end of the jet, assuming a constant speed of 5000 km/s.
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0.40N
weight
apple
50 cm
mark
25 cm
45 cm
pivot
Fig. 3.1 (not to scale)
The centre of mass of the apple is 25 cm from the pivot and the centre of mass of the weight
is 45 cm from the pivot.
Calculate
(i) the weight of the apple,
IO
.. [2]
weight =
(11) the mass of the apple.
[1
mass =
Answer:
Explanation:
dwadad
what is the ratio of the sun's gravitational force on the moon to the earth's gravitational force on the moon? nothing
The ratio of the sun's gravitational force on the moon to the earth's gravitational force on the moon is approximately 2:1.
The gravitational force that an object with mass exerts on another object with mass is directly proportional to the masses of the objects and inversely proportional to the square of the distance between them. This is known as the universal law of gravitation.
The force of gravity between the moon and the earth is stronger than the force of gravity between the moon and the sun because the moon is much closer to the earth than it is to the sun. The sun's gravitational force on the moon is about 46% of the earth's gravitational force on the moon.
This means that the ratio of the sun's gravitational force on the moon to the earth's gravitational force on the moon is approximately 2:1 .
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which of the following situations do you think is more risky: one where a car is breaking up to -3 meters per second squared, or one where it is braking up to -8 meters per second squared? why? follow up: can you think of a situation where it can be the opposite?
Braking up to -8 meters per second squared is more risky than the other one.
What is inertia?According to the definition of inertia, matter has the ability to remain at rest or to move uniformly in a single direction unless applied with an external force.
The ability of moving object to remain in moving uniformly in a single direction is called inertia of moving.
In this case, the car moving with certain velocity has inertia of moving. By certain applying brakes of more deceleration is more risky as it works opposite to the inertia of moving. Hence, braking up to -8 meters per second squared is more risky than breaking up to -3 meters per second squared.
As 8 meters per second squared acceleration or deceleration is larger compare to other; there may have no situation where it can be the opposite.
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A 500kg box slides down a frictionless plane at an angle of 60.0°. What is the magnitude of the box's acceleration and the normal force on the box?
-i think i know the answer but it wouldn't hurt to be sure.
500kg box slides down a frictionless plane at an angle of 60.0° the normal force on the box is approximately 2450 N.
The acceleration of the box down the plane is determined by the force of gravity pulling the box down the slope. To determine the magnitude of the acceleration, we first need to resolve the gravitational force into its component vectors parallel and perpendicular to the slope.
The force of gravity on the box is given by:
Fg = m*g
where m is the mass of the box and g is the acceleration due to gravity (9.8 m/\(s^2\)).
The component of the force of gravity parallel to the slope is given by:
Fpar = Fg*sin(60.0°)
Fpar = 500 kg * 9.8 m/\(s^2\) * sin(60.0°) ≈ 4286 N
The component of the force of gravity perpendicular to the slope is given by:
Fperp = Fg*cos(60.0°)
Fperp = 500 kg * 9.8 m/\(s^2\) * cos(60.0°) ≈ 2450 N
The net force down the slope is given by:
Fnet = Fpar
Fnet = 4286 N
The magnitude of the acceleration down the slope is given by:
a = Fnet/m
a = 4286 N / 500 kg ≈ 8.57 m/\(s^2\)
Therefore, the magnitude of the box's acceleration down the slope is approximately 8.57 m/\(s^2\).
The normal force on the box is equal in magnitude and opposite in direction to the component of the force of gravity perpendicular to the slope, i.e.,
Fn = Fperp
Fn = 2450 N
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What happens to the force of gravity between two masses if one mass is decreased?
A. It stays the same.
B.it fluctuates.
C. It increases.
D. It decreases.
Answer:
D. It decreases
Explanation:
on the surface of Planet X, a body with a mass of 10 kilograms weighs 40 newtons. the magnitude of the acceleration due to gravity on the surface of Planet X is
The magnitude of the acceleration due to the gravity on the surface of planet X is 4 m/s².
From Newton's second law:
The net force is directly proportional to the product of mass and acceleration of the body.
From the given,
mass of the planet X = 10 kg
Weight of the planet X = 40 N
acceleration of the planet (a) =?
W = m×a
a = W / m
= 40 / 10
= 4 m/s²
Hence, the acceleration of planet X is 4 m/s².
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A 3-kg bowling ball rolls at a speed of 5 m/s on the roof of the building that is 75 m tall.
Circle one: KE / GPE / both
Show your work for finding the values of each type of energy the object has:
The potential energy and kinetic energy of the bowling ball are 2,205 J and 37.5 J respectively.
What is the gravitational potential energy of the bowling ball?The bowling ball at the given position and speed possess gravitational potential energy and kinetic energy.
The potential energy and kinetic energy of the bowling ball is calculated as follows;
P.E = mgh
where;
m is the mass of the objecth is the heightg is acceleration due to gravityP.E = (3 x 9.8 x 75 )
P.E = 2,205 J
The kinetic energy of the bowling ball is calculated as;
K.E = ¹/₂ mv²
where;
v is the speed of the bowling ballK.E = ¹/₂ ( 3 ) x (5²)
K.E = 37.5 J
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While in empty space, an astronaut throws a ball at a velocity of 11 m/s. What will the velocity of the ball be after it has traveled 7 meters? A. 0 m/s B. 4 m/s C. 18 m/s D. 11 m/s\
The ball will have a constant velocity of 11 m/s.
Since there is no gravity in space, the ball is not subject to the effects of gravity.
Thus, there is no acceleration acting on the ball in space. So, there is no change in velocity with time.
Therefore, the ball will move with a constant velocity of 11 m/s in space even after travelling 7 meters.
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a submarine is stranded on the bottom of the ocean with its hatch 25 m below the surface. calculate the force needed to open the hatch from the inside, given it is circular and 0.45 m in diameter. air pressure inside the submarine is 1 atm.
So 245×10³ N/m the force needed to open the hatch from the inside.
We are aware that pressure rises as we go deeper into any liquid, even water.
Following are the changes in fluid pressure with depth.
P = ρgh
Here, represents the fluid's density.
The height of the liquid column is equal to h and the acceleration caused by gravity is g.
Keep in mind that gh represents the pressure increase caused by the liquid column, while the actual pressure would be
P = ρgh + P₀
P₀ is the atmospheric pressure
Hatch present at height 25m
Diameter of the hatch = 0.45m , Radius = 0.225m
Pressure inside the submarine = 1 atm
Pressure on hatch from outside = 1 atm + ρgh
Pressure from inside the submarine on the hatch = 1 atm
Net pressure on the hatch = ρgh
ρgh = 10³ × 9.8 × 25 = 245×10³ N/m.
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No matter how well we get along with our parents as adolescents, there comes a time when we need to break away and assert our own independence. There are several ways in which we do this, some of them deliberate and intentional and some of them not so intentional. Describe several ways you use or have used to break away from your parents. Briefly describe your parents' reactions.
Answer: I never said anything to them but if i did it would be "I need a break from you, i love you but sometimes I have to find the path on my own." i would say this if i wasn't scared to hurt them.
Explanation:
Can someone please help me with this?? It's due in an hour and I've been stuck on it!
I've gotten the first three of all of them done, but I am stuck on the last two. You can probably look them up.
[Part One]
Mercury:
1. What shape is the orbit of Mercury?
2. Why do you think the Sun is not at the center of Mercury’s orbit?
3. What did you notice about the motion of Mercury in its orbit?
Click on each highlighted section and record the area. What do you notice about each area?
4. Click on the “Toggle Major Axes” button. Record any observation regarding the perihelion distance (Rp) and the aphelion distance (Ra).
Earth:
1. What is the orbit of the Earth?
2. Is the Sun at the center of the Earth’s orbit?
3. Describe the motion of the Earth throughout its orbit? Does it move at constant speed?
4. Click on each highlighted section and record the area. What do you notice about each area?
5. Click on the “Toggle Major Axes” button. Record any observation regarding the perihelion distance (Rp) and the aphelion distance (Ra).
Mars:
1. What is the orbit of the Mars?
2. Is the Sun at the center of the Mars’s orbit?
3. Describe the motion of Mars throughout its orbit? Does it move at constant speed?
4. Click on each highlighted section and record the area. What do you notice about each area?
5. Click on the “Toggle Major Axes” button. Record any observation regarding the perihelion distance (Rp) and the aphelion distance (Ra).
[Part Two]
Saturn:
1. What is the orbit of the Saturn?
2. Is the Sun at the center of the Saturn’s orbit?
3. Describe the motion of Saturn throughout its orbit? Does it move at constant speed?
4. Click on each highlighted section and record the area. What do you notice about each area?
5. Click on the “Toggle Major Axes” button. Record any observation regarding the perihelion distance (Rp) and the aphelion distance (Ra).
Neptune
1. What is the orbit of the Neptune?
2. Is the Sun at the center of the Nepturn’s orbit?
3. Describe the motion of Neptune throughout its orbit? Does it move at constant speed?
4. Click on each highlighted section and record the area. What do you notice about each area?
5. Click on the “Toggle Major Axes” button. Record any observation regarding the perihelion distance (Rp) and the aphelion distance (Ra).
Comet
1. What is the orbit of the comet?
2. Is the Sun at the center of the comet’s orbit?
3. Describe the motion of the comet throughout its orbit? Does it move at constant speed?
4. Click on each highlighted section and record the area. What do you notice about each area?
5. Click on the “Toggle Major Axes” button. Record any observation regarding the perihelion distance (Rp) and the aphelion distance (Ra).
Answer:
Earth:1. What is the orbit of the Earth?
365 days
2. Is the Sun at the center of the Earth’s orbit?
Yes
3. Describe the motion of the Earth throughout its orbit? Does it move at constant speed?
Yes, the Earth moves pretty quickly and orbits around the Sun at a rate of approximately 67,000 miles per hour.
Mars:1. What is the orbit of Mars?
The shape is circular, 687 days
2. Is the Sun at the center of Mars’s orbit?
Yes
3. Describe the motion of Mars throughout its orbit? Does it move at constant speed?
Travels at a regular steady speed, yes moves at a constant speed
Saturn:
1. What is the orbit of Saturn?
Circular, 29 years
2. Is the Sun at the center of Saturn’s orbit?
Yes
3. Describe the motion of Saturn throughout its orbit? Does it move at constant speed?
Just like Mars, it moves faster when it is closer to the sun, so yes.
Neptune:1. What is the orbit of Neptune?
Circular, 165 years
2. Is the Sun at the center of Nepturn’s orbit?
Yes
3. Describe the motion of Neptune throughout its orbit? Does it move at constant speed?
A steady consistent speed and yes it moves at a constant speed.
Comet:1. What is the orbit of the comet?
An oval, 200 years
2. Is the Sun at the center of the comet’s orbit?
No
3. Describe the motion of the comet throughout its orbit? Does it move at constant speed?
A comet starts off slow then picks up speed and no it does not move at a constant speed.
Explanation:
I hope this helps, You're welcome.
draw a figure of a simple pendulum explain its amplitude and effective length ?
Answer:
Explanation:
A simple pendulum consists of a mass (usually represented as a small object or bob) attached to a string or rod of negligible mass. The mass is free to swing back and forth under the influence of gravity.
In the figure, the point of suspension is denoted by "O," and the mass (bob) is represented by the small circle. The string or rod is represented by the vertical line connecting the point of suspension to the bob.
Amplitude:
The amplitude of a pendulum refers to the maximum displacement or swing of the bob from its equilibrium position. In the figure, the amplitude can be represented by the angle formed between the vertical position and the position of the bob when it swings to its maximum distance on one side. It is usually denoted by the symbol "A."
Effective Length:
The effective length of a pendulum refers to the distance from the point of suspension to the center of mass of the bob. It represents the distance over which the mass swings back and forth. In the figure, the effective length can be measured as the length of the string or rod from the point of suspension to the center of the bob. It is usually denoted by the symbol "L."
It is important to note that the amplitude and effective length of a simple pendulum affect its period of oscillation (the time taken for one complete swing). The relationship between these parameters and the period can be described by mathematical formulas.
Overall, the simple pendulum is a fundamental concept in physics and provides a simplified model for understanding oscillatory motion and the principles of periodic motion.
Water flows at the rate 1.17 along a level channel of width 1.7 m with a depth of 149 mm. An hydraulic jump occurs. Calculate the critical depth in mm. Answer:
The critical depth in the hydraulic jump can be calculated using the specific energy equation. In this case, with a flow rate of 1.17 m³/s, channel width of 1.7 m, and a depth of 149 mm, the critical depth can be determined.
To calculate the critical depth in the hydraulic jump, we can use the specific energy equation, which relates the flow rate, channel dimensions, and water depth. The equation can be written as:
E = (Q² / (2g)) + (y² / (2g)) + (A² / (P * g))
Where:
E is the specific energy,
Q is the flow rate,
g is the acceleration due to gravity,
y is the water depth,
A is the cross-sectional area of flow,
P is the wetted perimeter of the channel.
In this case, we have a flow rate of 1.17 m³/s, a channel width of 1.7 m, and a depth of 149 mm (or 0.149 m). We need to find the critical depth, which occurs at the hydraulic jump. At the critical depth, the specific energy reaches its minimum value.
To determine the critical depth, we need to set the derivative of the specific energy equation with respect to the water depth equal to zero and solve for y. This will give us the critical depth. However, calculating the critical depth requires knowing additional parameters such as the cross-sectional area and wetted perimeter, which are not provided in the given information. Without these values, it is not possible to calculate the critical depth accurately.
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A 60kg bike accelerates at 20 m/s^2. With what force was the person pedaling?
Answer:
1200
Explanation:
f=ma
f_ force
m_ mass
a_ acceleration
Part D A 3.00 kg sphere 26.0 cm in diameter, about an axis through its center, if the sphere is solid. Express your answer with the appropriate units. 3 MÅ ? I = Value kg. m Submit Request Answer Part E A 3.00 kg sphere 26.0 cm in diameter, about an axis through its center, if the sphere is a thin-walled hollow shell. Express your answer with the appropriate units. HÅ ? 12 I = Value kg.m Submit Request Answer Part F A 6.00 kg cylinder, of length 19.5 cm and diameter 12.0 cm, about the central axis of the cylinder, if the cylinder is thin- walled and hollow. Express your answer with the appropriate units. DE HÅ ? I = I Value kg•m Submit Request Answer Part G An 6.00 kg cylinder, of length 19.5 cm and diameter 12.0 cm, about the central axis of the cylinder, if the cylinder is solid. Express your answer with the appropriate units. uA 1] ? I = Value kg • m Submit Request Answer
Part D: I = (2/5)(3.00 kg)(0.13 m)^2 = 0.2535 kg m^2. Part E: I = (2/3)(3.00 kg)(0.13 m)^2 = 0.5574 kg m^2. Part F: I = (1/2)(6.00 kg)(0.06 m)^2 = 0.0216 kg m^2. Part G: I = (1/12)(6.00 kg)(0.195 m)^2 + (1/4)(6.00 kg)(0.06 m)^2 = 0.1235 kg m^2.
Part D: The moment of inertia of a solid sphere about its diameter is (2/5)MR^2, where M is the mass and R is the radius (half of the diameter). In this case, the radius is 13.0 cm (half of 26.0 cm).
To find the moment of inertia (I) for a solid sphere, use the formula:
I = (2/5) * M * R^2
M = 3.00 kg (mass of the sphere)
Diameter = 26.0 cm = 0.26 m (convert cm to meters)
Radius (R) = Diameter/2 = 0.26/2 = 0.13 m
I = (2/5) * 3.00 * (0.13)^2
I ≈ 0.01638 kg•m^2
Part E: The moment of inertia of a thin-walled hollow sphere about its diameter is (2/3)MR^2. In this case, the radius is 13.0 cm (half of 26.0 cm), and the mass is still 3.00 kg.
For a thin-walled hollow shell sphere, the formula is:
I = (2/3) * M * R^2
Using the same values from Part D:
I = (2/3) * 3.00 * (0.13)^2
I ≈ 0.03276 kg•m^2
Part F: The moment of inertia of a thin-walled hollow cylinder about its central axis is (1/2)MR^2, where M is the mass and R is the radius. In this case, the radius is 0.06 m (half of 0.12 m), and the length is 0.195 m.
For a thin-walled hollow cylinder, the formula is:
I = M * R^2
M = 6.00 kg (mass of the cylinder)
Diameter = 12.0 cm = 0.12 m (convert cm to meters)
Radius (R) = Diameter/2 = 0.12/2 = 0.06 m
I = 6.00 * (0.06)^2
I ≈ 0.0216 kg•m^2
Part G: The moment of inertia of a solid cylinder about its central axis is (1/12)ML^2 + (1/4)MR^2, where M is the mass, L is the length, and R is the radius. In this case, the mass is 6.00 kg, the length is 0.195 m, and the radius is 0.06 m.
For a solid cylinder, the formula is:
I = (1/2) * M * R^2
Using the same values from Part F:
I = (1/2) * 6.00 * (0.06)^2
I ≈ 0.0108 kg•m^2
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Part D: I = (2/5)(3.00 kg)(0.13 m)^2 = 0.2535 kg m^2. Part E: I = (2/3)(3.00 kg)(0.13 m)^2 = 0.5574 kg m^2. Part F: I = (1/2)(6.00 kg)(0.06 m)^2 = 0.0216 kg m^2. Part G: I = (1/12)(6.00 kg)(0.195 m)^2 + (1/4)(6.00 kg)(0.06 m)^2 = 0.1235 kg m^2.
Part D: The moment of inertia of a solid sphere about its diameter is (2/5)MR^2, where M is the mass and R is the radius (half of the diameter). In this case, the radius is 13.0 cm (half of 26.0 cm).
To find the moment of inertia (I) for a solid sphere, use the formula:
I = (2/5) * M * R^2
M = 3.00 kg (mass of the sphere)
Diameter = 26.0 cm = 0.26 m (convert cm to meters)
Radius (R) = Diameter/2 = 0.26/2 = 0.13 m
I = (2/5) * 3.00 * (0.13)^2
I ≈ 0.01638 kg•m^2
Part E: The moment of inertia of a thin-walled hollow sphere about its diameter is (2/3)MR^2. In this case, the radius is 13.0 cm (half of 26.0 cm), and the mass is still 3.00 kg.
For a thin-walled hollow shell sphere, the formula is:
I = (2/3) * M * R^2
Using the same values from Part D:
I = (2/3) * 3.00 * (0.13)^2
I ≈ 0.03276 kg•m^2
Part F: The moment of inertia of a thin-walled hollow cylinder about its central axis is (1/2)MR^2, where M is the mass and R is the radius. In this case, the radius is 0.06 m (half of 0.12 m), and the length is 0.195 m.
For a thin-walled hollow cylinder, the formula is:
I = M * R^2
M = 6.00 kg (mass of the cylinder)
Diameter = 12.0 cm = 0.12 m (convert cm to meters)
Radius (R) = Diameter/2 = 0.12/2 = 0.06 m
I = 6.00 * (0.06)^2
I ≈ 0.0216 kg•m^2
Part G: The moment of inertia of a solid cylinder about its central axis is (1/12)ML^2 + (1/4)MR^2, where M is the mass, L is the length, and R is the radius. In this case, the mass is 6.00 kg, the length is 0.195 m, and the radius is 0.06 m.
For a solid cylinder, the formula is:
I = (1/2) * M * R^2
Using the same values from Part F:
I = (1/2) * 6.00 * (0.06)^2
I ≈ 0.0108 kg•m^2
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A van moves 100 km in 2 1/2 hours.
What is its average speed in kilometers
per hour?
Answer:
0.40km/h
I think.. Hope this helps <3
What is the absolute pressure (in Pa) at the bottom of a swimming pool whose depth is 2m?
The absolute pressure was found to be 15.56 psi
Explain about absolute pressure ?
Absolute pressure refers to the pressure described above. It is often necessary to distinguish between absolute pressure and gauge pressure. Unless otherwise specified, the term pressure in this article refers to absolute pressure. However, in engineering, we frequently deal with pressures, which are measured by various equipment. Although absolute pressures must be utilised in thermodynamic relationships, pressure-measuring equipment frequently indicate the difference between the absolute pressure in a system and the absolute pressure of the atmosphere existent outside the measuring device. They gauge the pressure.
hydrostatic pressure
P=ρgh
or
P=γh
where γγ = ρgρg = specific weight of the fluid
γ=62.4lb/ft³
P=γh=62.4lb/ft³(2)
P=124.8lbft²
or
P=124.8lbft²(ft²/144in²)=0.86psi
Pa=0.86psi+14.7psi=15.56psi
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Two cars X and Y start from two points separated by 75 m. Y which is ahead of X. starts from rest with acceleration of 10 m/s2 and X starts with uniform velocity of 40 m/s . They meet each other twice in their journey. Find the time gap between their meetings.
Two cars X and Y start from two points separated by 75 m. Y which is ahead of X. starts from rest with acceleration of 10 m/s2 and X starts with uniform velocity of 40 m/s . The time gap between the two meetings would be approximately 1.44 seconds.
Let's assume that the two cars meet for the first time after time t₁, and then they meet for the second time after time t₂.
We can start by finding the time it takes for car Y to catch up to car X for the first time. We can use the following kinematic equation:
d = ut + (1/2)at²
where d is the distance between the two cars, u is the initial velocity of car X, a is the acceleration of car Y, and t is the time it takes for car Y to catch up to car X.
Plugging in the values, we get:
75 = 40t₁ + (1/2)(10)t₁²
Simplifying the equation, we get:
5t₁² + 8t₁ - 15 = 0
Solving for t1 using the quadratic formula, we get:
-t₁ = 1.5 seconds or -1 seconds
Since time cannot be negative, we discard the negative solution and conclude that the two cars meet for the first time after 1.5 seconds.
Now, let's find the time it takes for the two cars to meet for the second time. We can use the fact that the two cars have covered the same distance between their first and second meetings.
The distance covered by car Y during the time t₁ is:
d₁ = (1/2)(10)(1.5)² = 11.25 m
The distance remaining between the two cars is:
75 - 2d₂ = 52.5 m
To find the time it takes for car Y to cover this distance, we can use the same kinematic equation as before:
52.5 = 0t₂ + (1/2)(10)t₂²
Simplifying the equation, we get:
t₂ = (21)
Therefore, the time gap between the two meetings is:
t₂ - t₁ = √(21) - 1.5 seconds
So, the time gap between the two meetings is approximately 1.44 seconds.
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When wind turns the blades of a wind turbine and then this energy is used to power homes, this is an example of an energy transfer from ________ to ________ energy. a mechanical, electrical b radiant, thermal c electrical, mechanical d thermal, chemical
When wind turns the blades of a wind turbine and then this energy is used to power homes, this is an example of an energy transfer from mechanical to electrical energy.
What is Wind power?In order to produce electricity, wind turbines are mostly used in wind power or wind energy. In comparison to burning fossil fuels, wind energy is a well-liked, environmentally friendly, renewable energy source.Wind energy, like all other forms of energy production, has the potential to have negative effects on the environment, including the loss, fragmentation, or degradation of habitat for animals, fish, and plants. Additionally, flying animals like birds and bats could be harmed by turbine blades that are in motion.Wind energy is economical.After the production tax credit, land-based utility-scale wind is one of the least expensive energy sources on the market at 1-2 cents per kilowatt-hour.Learn more about wind power here:
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what is the frequency range of Audible sound
Answer:20Hz to 20000Hz
Explanation:
Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.
an object is traveling at a speed of 60 m/s when the brakes are fully applied, producing a constant deceleration of 12 meters per second squared.
The object, initially moving at a speed of 60 m/s, undergoes a constant deceleration of 12 meters per second squared when the brakes are fully applied. The time taken for the object to come to a complete stop and the distance it travels during this deceleration can be determined using basic kinematic equations.
To calculate the distance traveled during deceleration:
We can use the equation s = ut + (1/2)at^2, where s is the distance traveled, u is the initial velocity, t is the time taken, and a is the deceleration.Plugging in the values, s = (60)(5) + (1/2)(-12)(5^2).Simplifying the equation, s = 300 - 150 = 150 meters.Therefore, when the brakes are fully applied, the object takes 5 seconds to come to a complete stop and travels a distance of 150 meters during this deceleration.
The object's time to stop and distance traveled can be determined by using the kinematic equations. By calculating the time taken to be 5 seconds and the distance traveled to be 150 meters, we can understand the object's behavior under the given conditions.
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the visible light spectrum of hydrogen is known as the balmer series. what variable in equation 12.4 determines if the emitted light is in the balmer series?
The variable in equation 12.4 that determines if the emitted light is in the Balmer series is the principal quantum number (n).the value of the principal quantum number (n) determines if the emitted light is in the Balmer series or not.
In the Balmer series, the emitted light is a result of transitions of electrons within hydrogen atoms from higher energy levels to the second energy level (n=2). The Balmer series corresponds to the visible light spectrum of hydrogen.
The equation that relates the wavelength of the emitted light to the principal quantum number is known as the Balmer formula:
1/λ = R_H * (1/2^2 - 1/n^2)
where λ is the wavelength of the emitted light, R_H is the Rydberg constant for hydrogen, and n is the principal quantum number.
By varying the value of the principal quantum number (n) in the Balmer formula, different wavelengths of light can be calculated. Only the transitions with n=2 will fall within the visible light spectrum, which defines the Balmer series. Transitions with other values of n will correspond to different series in the hydrogen spectrum, such as the Lyman series (n=1) or the Paschen series (n=3).
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If a 50g object is moving initially with 40m/s, after 2 min. it covered 670 m with 90 m/s.
a- Calculate the force applied causing it to speed up.
b- Calculate the work done by this force.
c- If the coefficient of friction for the ground is 0.34, What is the work done by friction?
d- What is the net work done?
Answer:
a) We can use the following formula to calculate the acceleration of the object:
a = (v_f - v_i) / t
where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time interval. Substituting the given values, we get:
a = (90 m/s - 40 m/s) / (2 min * 60 s/min) = 0.83 m/s^2
The force applied causing it to speed up can be found using Newton's second law of motion:
F = m * a
where F is the net force, m is the mass of the object, and a is the acceleration. Substituting the given values, we get:
F = 0.05 kg * 0.83 m/s^2 = 0.042 N
Therefore, the force applied causing the object to speed up is 0.042 N.
b) The work done by this force can be calculated using the following formula:
W = F * d
where W is the work done, F is the net force, and d is the displacement of the object. The displacement of the object is given by:
d = 670 m
Substituting the given values, we get:
W = 0.042 N * 670 m = 28.14 J
Therefore, the work done by the force is 28.14 J.
c) The work done by friction can be calculated using the formula:
W_friction = F_friction * d
where W_friction is the work done by friction, F_friction is the force of friction, and d is the displacement of the object. The force of friction can be calculated using:
F_friction = μ * F_norm
where μ is the coefficient of friction and F_norm is the normal force. The normal force is equal to the weight of the object, which is given by:
F_weight = m * g
where m is the mass of the object and g is the acceleration due to gravity. Substituting the given values, we get:
F_weight = 0.05 kg * 9.81 m/s^2 = 0.49 N
The normal force is equal in magnitude to the weight of the object, so we have:
F_norm = F_weight = 0.49 N
Substituting the given coefficient of friction, we get:
F_friction = 0.34 * 0.49 N = 0.17 N
The work done by friction can now be calculated by substituting the values we have found:
W_friction = 0.17 N * 670 m = 113.9 J
Therefore, the work done by friction is 113.9 J.
d) The net work done can be calculated as the sum of the work done by the applied force and the work done by friction:
W_net = W_applied + W_friction
Substituting the values we have found, we get:
W_net = 28.14 J + 113.9 J = 142.0 J
Therefore, the net work done is 142.0 J.