We can assume that man-hour is a unit of power. Both man-hour and kilowatt-hour are units for power. The difference between them is that the second one can be quantified while the first one cannot.
What is power?Power has a wide range of meanings in everyday life, but in physics, it has a very specific meaning. Power is defined to be work over elapsed time. This can be mathematically expressed as P = W/t where P is power, W is work, and t is elapsed time.
If work is done faster, the power is higher. Power is smaller when work is done slower.
The standard unit used to measure power is watt (symbolized W, not to be confused with work which is a quantity, not a unit). 1 kilowatt-hour is equal to 1,000 watts. Another widely-used unit of power is the horsepower (symbolized hp).
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what would happen to the force exerted by the sun on earth if the sun shrank and became half its present size while retaining the same mass?
The force would be the same. Since gravitational force only varies with object mass and separation
What is called gravitational?The force of gravity, often known as gravitation, affects every material object in the universe.The force of gravity tends to draw any two objects or particles with nonzero mass toward one another.From subatomic particles to galaxy clusters, gravity affects things of all sizes.A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.To learn more about Gravitational force refer,
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leveling the amount of work done at each work station is an example of this step in the continuous lean journey?
Leveling the amount of work done at each work station is an example of Value Stream Mapping.
Value stream mapping was developed out of lean manufacturing, which companies use to create a visual guide of all the components required to deliver a product or service for the purpose of analyzing and optimizing the entire process.
The process of creating a value stream map takes all the people, processes, information, and inventory you need and presents them in flowchart form.
Learning core Lean Six Sigma (LSS) tools can help you become more attractive to new employers or increase the value you offer in your current workplace in a number of ways, including:
Useful for career Promotes clear communication and collaboration encourages continuous improvement of processes.Enables cultural change within the organization visualizes delays, overstocks and production.To learn more about Value Stream Mapping apping, refer:
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is training for cross country in the fall she ran 5 miles east then she turned and ran 5 miles west. draw and label the vectors that show each segment of her tripand the resulant dispacement vector. find her resulant displacement
5j-5i is her resultant displacement.
velocity in east= 5i
velocity in west=5j
resultant magnitude=√5i+√5j
displacement =5j-5i
Displacement is the shortest distance, but distance is the length of everything covered. A vector quantity with a magnitude and a direction is displacement. The vector (or straight line) separation between an initial and final position is described by this term. Therefore, all that is needed to determine the resulting displacement is to know these two positions.
Calculate the inverse tangent of the ratio of the components of the displacement in the y- and x-directions to find the direction of the displacement vector.
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a solenoid of length 1.50 cm and radius 0.550 cm has 37 turns. if the wire of the solenoid has 1.15 amps of current, what is the magnitude of the magnetic field inside the solenoid? magnitude of the magnetic field: t ignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid. magnetic energy density: j/m3 what is the total magnetic energy inside the solenoid? total magnetic energy: j
a) magnitude of the magnetic field = 8.02 X [tex]10^{-3}[/tex] T
b)Energy Density = 5.03 J/[tex]m^{3}[/tex]
c) Total magnetic energy inside the solenoid = 2.01 X [tex]10^{-5}[/tex] J
What is magnetic field?A magnetic field, a vector field in the vicinity of a magnet, an electric current, or a changing electric field in which magnetic forces can be observed. Magnetic fields, such as those found on Earth, cause magnetic compass needles and other permanent magnets to align in the field's direction. Magnetic fields cause electrically charged particles to move in a circular or helical pattern. The operation of electric motors is based on this force, which is exerted on electric currents in wires in a magnetic field.Calculation
a) B = uNI/L
B = (4π X [tex]10^{-7}[/tex])(37)(1.15)/(.015)
B = 8.02 X [tex]10^{-3}[/tex] T
b) Energy Density = [tex]B^{2}[/tex]/2u
Energy Density = [tex](8.02 *10^{-3} )^{2}[/tex]/(2)(4π X [tex]10^{-7}[/tex])
Energy Density = 5.03 J/[tex]m^{3}[/tex]
c) Total magnetic energy inside the solenoid
Multiply by volume for total energy.
Total Energy = 5.03(π[tex]r^{2}[/tex])(L)
Total Energy = (5.03)(π)[tex](8.5*10^{-3})^{2}[/tex])(.015)
Total Energy = 2.01 X [tex]10^{-5}[/tex] J
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a)The magnitude of the magnetic field [tex]$=\mathbf{8 . 0 2} \times 10^{-3} \mathbf{T}$[/tex]
b)The Energy Density [tex]$=\mathbf{5 . 0 3} \mathrm{J} / \mathrm{m}^3$[/tex]
c) Total magnetic energy inside the solenoid [tex]$=\mathbf{2} . \mathbf{0 1} \mathbf{X} 10^{-5} \mathbf{J}$[/tex]
What is magnetic field?A magnetic field, a vector field in the vicinity of a magnet, an electric current, or a changing electric field in which magnetic forces can be observed.Magnetic fields, such as those found on Earth, cause magnetic compass needles and other permanent magnets to align in the field's direction.Magnetic fields cause electrically charged particles to move in a circular or helical pattern.The operation of electric motors is based on this force, which is exerted on electric currents in wires in a magnetic field.a) [tex]$B=u N I / L$[/tex]
[tex]&B=\left(4 \pi \times 10^{-7}\right)(37)(1.15) /(.015) \\[/tex]
[tex]&B=8.02 \times 10^{-3} \mathrm{~T}[/tex]
b) Energy Density[tex]$=B^2 / 2 \mathrm{u}$[/tex]
Energy Density[tex]$=\left(8.02 * 10^{-3}\right)^2 /(2)\left(4 \Pi \times 10^{-7}\right)$[/tex]
Energy Density [tex]$=5.03 \mathrm{~J} / \mathrm{m}^3$[/tex]
c) Total magnetic energy inside the solenoid
Multiply by volume for total energy.
Total Energy [tex]$=5.03\left(\pi r^2\right)(\mathrm{L})$[/tex]
Total Energy [tex]$\left.=(5.03)(\pi)\left(8.5 * 10^{-3}\right)^2\right)(.015)$[/tex]
Total Energy [tex]$=2.01 \times 10^{-5} \mathrm{~J}$[/tex]
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The graph shows the displacement of a mouse
What is the farthest position the mouse reaches inside the tunnel?
7 meters into the tunnel
4 meters into the tunnel
3 meters into the tunnel
It cannot be determined from the information given
The farthest position the mouse reaches inside the tunnel is 4 meters into the tunnel.
From the graph,
The positions reached after,
5 s = 4 m
10 s = 2 m
20 s = 2 m
35 s = 3 m
40 s = 0 m
So the farthest position here is 4 m into the tunnel.
The rate of change of positions is displacement. So displacement will be change in initial and final positions divided by change in time.
s = Δx / Δt
Therefore, the farthest position the mouse reaches inside the tunnel is 4 meters into the tunnel.
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Which option describes a vector quantity? (1 point)
O It has magnitude, units, and direction.
OIt has magnitude, but no units or direction.
It has magnitude and units, but no direction.
OIt has no magnitude, units, or direction.
A vector quantity has magnitude, units, and direction. So, the first option is correct.
A vector quantity, in physics, is a quantity that has both magnitude and direction. A vector with the value of magnitude equal to one is called a unit vector.
For example, a man is driving a car with a velocity of 90 km/hr in a northeast direction. Then, as we see for defining the velocity, we need two things, i.e. the magnitude of the velocity and its direction. Therefore, it represents a vector quantity. Other examples of vector quantities are displacement, acceleration, force, momentum, weight, the velocity of light, a gravitational field, current, and so on.
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Answer:
(Question) Which quantity is scalar?
(Answer) Energy
(Question) Which option describes a vector quantity?
(Answer) It has magnitude, units, and direction.
(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?
(Answer) It describes displacement, which is a vector quantity.
(Question) Which statement is true regarding a distance vs. time graph?
(Answer) The graph should show distance on the vertical axis.
(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates
(Answer) motion in the positive direction.
Explanation:
just did the quick check, enjoy UwU
If a ring particle survived for the age of the solar system, how many collisions would it undergo?.
Answer:
The answer is near 8 trillion
Explanation:
I hope this helps
bird bones have air pockets in them to reduce their weight. this also gives them an average density significantly less than that of the bones of other animals. suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). what mass of water is displaced?mass of water displaced:kg what is the volume of the bone?volume of the bone:m3 what is its average density?average density of the bone:kg/m3 question credit: openstax college physics
a) Mass of displaced water is 41.4 g or 0.0414 kg
b) Volume of the bone is 41.4 mL or 41.4 × 10⁻⁶m³
c) Average density of the bone is 1.09 g/ mL or 0.00109 × 10⁻⁶ Kg /m³
In the given question we have, the weight of some bird bones is measured in air outside of some water and the weight is 45.0 grams and the apparent weight in water is 3.60 grams. Now, we shall find out the weight of the displaced water? So the buoyant force is this difference between the weight of the bones out of the water and in the water, so the weight out of the water times g minus the weight in the water times g and then the g can be factored in and the buoyant force is also equal to the weight of the displaced fluid from Archimedes' principle
i.e., 45 × g - 3.60× g = weight/ mass of displaced water
weight of displaced water = 41.4 × g
g× mass of displaced water = 41.4 ×g
=> mass of displaced water = 41.2 grams
a) Mass of displaced water = 0.0414 Kg
b) the volume of the bones is going to be equal to the volume of water displaced.
We know that the density of water is the mass of water displaced divided by the volume of water. So the volume of water displaced is the weight of the water displaced divided by the density of the water.
Volume of water displaced = 41.4 grams / density of displaced water
density of water displaced = 1 grams / milliliters
So, the density of water is 41.4 milliliters or 41.4 ×10⁻⁶ m³
c) The average density of the bone is the weight of the bone divided by its volume,
Average density of bone = 45 grams / 41.4 mililitres
so it's value is 1.09 grams per milliliter or 0.00109 × 10⁻⁵ m³
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A motorcycle travels a certain distance, moving with constant speed of 80 Km/h and in it he spends a time 5 hours. What will be its distance traveled?
☆ Hello ☆
We first apply the data to the problem.
Data:
V = 80km/hT = 5hrsD = ?Then, we apply the formula that is.
Formula:
D = V • TFinally we develop the problem.
Developing:
D = (80km/h) • (5hrs)D = 400kmThe distance traveled is 400 kilometers.
Uniform line movement
Rectilinear uniform motion is one in which an object moves in a straight line, it is a single direction, with a constant speed. When we speak of constant speed we mean that the movement maintains the same speed; that is, the object does not move faster or slower, always at the same speed.
We have that the data is:
Speed (V) = 80 km/h
Distance (d) = ?
Time (t) = 5 h
The formula for uniform motion is:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} } \end{gathered}$} }[/tex]
We clear for the distance
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=v*t} \end{gathered}$} }[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=80\ \frac{km}{\not{h}}*5\not{h} } \end{gathered}$}}[/tex]
[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=400 \ km} \end{gathered}$}}}[/tex]
Answer: The distance traveled is 400 km✅.To learn:https://brainly.com/question/16513152To learn:https://brainly.com/question/13682534To learn:https://brainly.com/question/17141837To learn:https://brainly.com/question/24000863To learn:https://brainly.com/question/16645603On level ground, how much farther can a person jump on the moon as compared to the earth if the takeoff speed and the angle are the same? The free-fall acceleration on the moon is one-sixth what it is on Earth.
The person can jump 6 times higher on the moon compared to Earth.
What is the maximum height jumped by an object?The maximum height an object can Jump is the height vertical displacement of the object during an upward motion.
Mathematically, the maximum height an object can jump is given as;
H = u²sin²θ/2g
where;
u is the initial velocity of the objectθ is the angle of projection of the objectg is acceleration due to gravityh is the maximum height of jumpWhen a person moves to the moon, the acceleration due to gravity becomes ; ¹/₆
The new height the object can jump is calculated as follows;
H = u²sin²θ/(2 x ¹/₆g)
H = 6( u²sin²θ/2g)
Thus, the person will jump higher on the moon due to lesser acceleration due to gravity.
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a 44 kg package is dropped by a parachute out of an airplane. what is the terminal speed of the package if the parachute has an area of 25 square meters. (use air density, p= 1.2kg/m^3
Terminal velocity of the package is 5.16 m/s
When the object's drag force is equal to the gravitational force then it experiences zero acceleration and so the velocity remains constant. Such constant velocity is called as terminal velocity.
Drag force is a kind of frictional force that opposes the flow of motion.
Mathematically drag force F = [tex]\frac{1}{2}[/tex]ρA[tex]v^{2}[/tex]
ρ = density of the package = 1.2 kg/[tex]m^{3}[/tex]
A = 25 [tex]m^{2}[/tex]
v = terminal speed
Also Force is the product of mass and acceleration
Mathematically F = ma
where
m = 44 kg
a = 10 m/[tex]s^{2}[/tex]
Therefore, F = 44 * 10 = 400 N
Putting value of F in the drag force equation we get,
400 = [tex]\frac{1}{2}[/tex]ρA[tex]v^{2}[/tex]
400 = [tex]\frac{1}{2}[/tex] * 1.2 * 25 * [tex]v^{2}[/tex]
[tex]v^{2} = \frac{400*2}{1.2 * 25}[/tex]
[tex]v^{2} = \frac{800}{30}[/tex]
v = [tex]\sqrt{26.66}[/tex]
v = 5.16 m/s
The terminal speed of the package if the parachute has an area of 25 [tex]m^{2}[/tex] is 5.16 m/s.
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A 5kg cat is lifted 2meters into the air. how much gpe does it gain?
Answer:
98
Explanation:
You are asking for the pe right? I think this is right
Potential Energy= mgh = (5)(9.8)(2)= 98
catia when looking at an image of an object, what enables you to notice the surfaces and edges more clearly?
Orthographic projection enables you to notice the surfaces and edges more clearly.
What helps you to notice the surfaces and edges more clearly?Means of representing three-dimensional objects in two dimensions is called Orthographic projection.
Orthographic views helps us to represent a 3D object in 2D on a drawing. It can show an object viewed from each direction.
An orthographic projection has three views: front view, top view and side view. The right side is used for the side view but if the left side is used then it will be clearly labeled in the drawing. The final drawing is known as a 3 view drawing.
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why does saturn radiate even more excess energy than jupiter? why does saturn radiate even more excess energy than jupiter? saturn can fuse hydrogen into helium in its core, like the sun. helium rain gives off heat as it differentiates toward saturn's center. saturn's atmosphere contains much methane, creating a large greenhouse effect. saturn's thick cloud layer contributes to a larger greenhouse effect. saturn is still radiating heat left over from its formation.
Saturn radiates even more excess energy than Jupiter Helium rain gives off heat as it differentiates toward Saturn's center. Option B.
Its density is so low that it floats on water. Like Jupiter, Saturn emits almost twice as much energy as it receives from the Sun. This is because it has its own internal heat source driven by the slow gravitational collapse that began with the planet's formation. The Jupiter planet draws heat from the Sun and from within.
Jupiter produces a lot of internal heat and emits thermal radiation to release this heat. In fact, Jupiter produces so much internal heat that it emits almost twice as much energy as it receives from the Sun. Hydrogen exists in a liquid metallic state around the central rocky core and surrounds the inner half of the planet. Compared to Jupiter, Saturn's mass and volume consist of this conductive metallic liquid which may partly explain why Saturn's magnetic field is much weaker.
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if you wish to reconstruct a complex wave from its fourier spectrum, what additional information must you obtain, other than the amplitudes of the harmonics?
In order to reconstruct a complex wave from its fourier spectrum, we must obtain the phase of each harmonic other than amplitudes of the harmonics.
The phase of each harmonic is needed because it tells you exactly where in time the harmonic will occur.
For example, if a wave has a frequency of 100 Hz, and you know that the phase of each harmonic is regularly spaced by 1 radian (180 degrees), then you can use this information to determine when each harmonic will occur. You can do this by dividing 360 degrees by the frequency and multiplying by 2 pi.
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va car with a mass of 950-kg and a speed of 22 m/s approaches the intersection from the west. a 1300-kg minivan traveling 15 m/s approached the intersection from the south. after the collision two cars move together. what is their speed and direction of the velocity?
The final speed of the car and minivan is 17.95 m/s
The mass of the car = 950 kg
The speed of the car = 22 m/s
The mass of the minivan = 1300 kg
The speed of the minivan = 15 m/s
The final speed of the car and minivan can be found using the conservation of momentum formula,
[tex]\displaystyle m_{1}v_{i1 } + m_{2}v_{i2} = m_{1}v_{f1} + m_{2}v_{f2}[/tex]
where [tex]\dispplaystyle m_{1}[/tex] is the mass of the car
[tex]\dispplaystyle m_{2}[/tex] is the mass of the minivan
[tex]\dispplaystyle v_{i1}[/tex] and [tex]\dispplaystyle v_{i2}[/tex] is the initial speed of the car and minivan respectively.
[tex]\dispplaystyle v_{f1}[/tex] and [tex]\dispplaystyle v_{f2}[/tex] is the final speed of the car and minivan respectively.
As the two cars move together, they would have the same final speed, i.e.
[tex]\dispplaystyle v_{f1} = \dispplaystyle v_{f2} = \dispplaystyle v_{f}[/tex]
Thus, the above equation becomes,
[tex]\displaystyle m_{1}v_{i1 } + m_{2}v_{i2} = (m_{1} + m_{2})v_{f}[/tex]
Let us substitute the known values in the above equation, we get
(950 x 22) + (1300 x 15) = (950 + 1300) [tex]\displaystyle v_{f}[/tex]
20,900 + 19.500 = 2,250 [tex]\displaystyle v_{f}[/tex]
40,400 = 2,250[tex]\displaystyle v_{f}[/tex]
40,400 / 2,250 = [tex]\displaystyle v_{f}[/tex]
= 17.95 m/s
Therefore, the final speed is 17.95 m/s
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if each resistor is rated at 0.2 w (maximum without overheating), what is the maximum voltage that can be applied across the whole network?
The maximum voltage that can be applied to the whole network is 39.46V.
What is the relationship between power and voltage?The explanations given here are that Power equals current times Voltage (P=VxI), Voltage equals Power divided by current (V=P/I), and current equals Power divided by Voltage (I=P/V).
Power and Voltage:
The equation for the relationship between power, resistance, and voltage is
P = V²/R
P is for power,
R stands for resistance,
and V for voltage.
Given that the resistors
V = [tex]\sqrt{PR}[/tex]
Consequently, the maximum voltage for the 2.8k resistor will be:
V = [tex]\sqrt{(0.2)(2800)}[/tex]
V = 23.66V
The maximum voltage for the 2.1k resistor will be similar:
V = [tex]\sqrt{(0.2)(2100)}[/tex]
V = 20.49V
This is lower than the 2.8k resistor's maximum voltage.
The voltage between the 2.8k and 2.1k resistors must be same because they are connected in parallel.
The highest voltage that can be applied across this parallel configuration is 20.49V since a voltage of 23.66V would be too high for the 2.1k resistor to handle.
Similarly, the voltage drop across the series-connected 1.8 k resistor is:
V = [tex]\sqrt{PR}[/tex]
V = [tex]\sqrt{(0.2)(1800)}[/tex]
V = 18.97V
Consequently, the highest voltage that can be used over the entire network is
20.49V + 18.97V = 39.46V
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you hear a loud noise at 900 hz and look up to see a bird diving toward you. you are able to identify the type of bird and you know that they usually make noise at around 800 hz. how fast is the bird moving?
When you hear a loud sounds at 900 Hz and look up to see a bird diving frequency you, the bird is moving at a speed of 38.12 meter's per second (m/s). Knowing the species of bird and that their frequency.
When this frequency range is overused, the result might be honky or nasal. The teacher from the Charlie B. series serves as this range's audio guide.
Auditory identification of birds can be done by birders who are familiar with the various bird speed. A keen birder might start looking for nearby birds of prey after hearing an alarm cry, whereas someone who hears speed a begging call would start looking for a nest that is well-hidden.
f1=f(V+Vo/V-Vs)\s900/800=(343/343-Vs)
V=38.12 m/s
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What are the forces applied?
The forces applied on the bucket are tension and gravitational.
What is the gravitational force?
According to Newton’s gravitational law, it is the force exerted due to attraction between two objects that is directly proportional to the product of their masses and is inversely proportional to the square of distance between them.
The force applied to the bucket containing water is gravitational force. The gravitational force acts in downward direction and there is no change in the state of motion. There is another force as well which is the muscular force by which we hold the bucket in the upward direction with the help of our muscles. Tension is also exerted on the bucket as this force is seen in existence when any object is being pulled up with the help of string or rope. It is always seen in the direction which is parallel to the rope.
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30.0-kg child sits on one end of a long uniform beam having a mass of 20.0 kg, and a 40.0-kg child sits on the other end. the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. how long is the beam? a 30.0-kg child sits on one end of a long uniform beam having a mass of 20.0 kg, and a 40.0-kg child sits on the other end. the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. how long is the beam? 2.07 m 1.93 m 2.12 m 2.20 m 1.98 m
The length of the beam on which the the two boys are lying is 1.01 m.
The mass of one kid is 30 kg and the mass of the beam is 20kg, the beam is balanced at a distance of 1.10 m from the 30 kg boy when a 40kg boy was sitting at the other end of the beam.
If the beam is balanced at 1.10 m from the 30kg boy it means that there lies the center of mass of the system.
So, let us assume the length of the beam to be X meters and the assume the center of mass to be at center.
So,
0 = M₁X₁ + M₂X₂/M₁+M₂
M₁ is 30kg and X₁ is 1.10m.
M₂ is 40kg and the X₂ is (X-1.10)m.
Putting values,
0 = 30 x 1.1 + 40 x (X-1.1)
(1.1 - X)40 = 3.3
X = 1.01 m.
So, the length of the Beam is 1.01 m.
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suppose the state machine shown below is in state c and receives the string 100010. what is its ending state?
B is its ending state for the state machine shown below is in state c and receives the string 100010.
A state machine is difficult to explain.A state machine reads a set of inputs and switches states in response to those inputs. A system is said to be in a state when it is waiting to make a transition. A transition is a sequence of steps to carry out when a condition is met or an event is received.
State machines are a type of programming architecture that enable dynamic flow between states based on values from earlier states or user inputs. Applications that can be categorized as a combination of the following fit well with this architecture: States. When to relocate to a specific state, using decision-making logic.
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which is a way to exactly double the illuminance on an object? question 2 options: double the distance of the light source. quadruple the distance of the light source. double the luminous flux of the light source. cut the distance from the light source in half.
double the luminous flux of the light source is a way to exactly double the illuminance on an object.
The electromagnetic radiation that the human eye perceives as light, or visible light, is found in the region of the electromagnetic spectrum. Typically, visible light is characterized as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which are intermediate between the infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).
The term "light" can be used more generally in physics to refer to electromagnetic radiation of any wavelength, whether or not it is visible.
This makes gamma rays, X-rays, microwaves, and radio waves also constitute light. Intensity, the direction of propagation, frequency or wavelength spectrum, and polarization make up the fundamental characteristics of light. One of the basic constants of nature is its speed in a vacuum, 299 792 458 meters per second (m/s).
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the hanging mass is referred to as m and it sets the centripetal force. group of answer choices true false
The answer is True
When we do not have the numerical value of mass.
The answer is False
By choosing a value of hanging mass it becomes false.
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a 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. the safe hits the spring and, in coming momentarily to rest, compresses it 50 cm. what is the spring constant of the spring?
The value of the spring constant of the spring is 156800N/m.
As per the work energy theorem, the work done in making the safe go down will be equal to the work done by the spring.
So it can be written
1/2kx² = mgh
K is the spring constant,
x is the compression,
m is the mass of the safe,
g is the acceleration due to gravity which is 9.8m/s²,
H is the height above the ground at which the safe is kept which is 2m.
Now, putting all the values,
1/2(k)(0.5)² = 1000(2)(9.8)
K = 156800 N/m.
So, the value of the spring constant is 156800 N/m.
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
The magnitude of the acceleration is -36 m/s² since the toy car is stopping thus, -36 is the deceleration of the toy.
The Force of the object is the product of the mass of the object with the acceleration with which it is moving. It is the vector product. The SI unit of force is Kg-m/s² or Newton(N). The equation for the force is,
F = ma
where F = Force
m = mass
a = acceleration
The values given for force f = 9.0N, m = 0.25kg
∴ F = ma
9.0 = 0.25 × a
a = 36 m/s²
Hence, the negative sign indicates the deceleration of the toy car thus the magnitude is -36m/s².
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Hydropower is the production of electrical energy through the use of
A. gravitational force
B. stored energy
C. water flowing upwards
D. water resistance
Answer:
gravitational force .. .. .
Explanation:
hope it helps^o^To measure one wavelength, you would measure the distance between
C and A
C and F
D and B
A and B
To measure one wavelength, you would measure the distance between A and B.
option D is the correct answer.
What is one wavelength?
The wavelength of a wave is the distance travelled by a given a wave.
The wavelength of a wave is measured in meters and it depends on the frequency and speed of the wave.
One wavelength is distance measured from the trough to another trough of the wave form or the distance measured from crest to another crest of the wave form.
In the given image, the following are one wavelength;
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6. what is the origin of the acceleration cue when in hover mode at 4 ktgs? in hover mode at 7 ktgs? in transition mode at 50 ktgs?
When the velocity vector is less than its maximum scale, the tip of the vector serves as the origin of the acceleration cue (6 KTGS). When the velocity vector is at or above maximum scale, the center of the LOS reticle serves as the origin of the acceleration cue.
Where does maximal velocity occur?Knowing that the system is in equilibrium at y=0, or when displacement and acceleration are both equal to zero, is known as the velocity maxima. As a result, the maximum velocity in simple harmonic motion at a given place can be calculated using the formula v=A. A velocity vector shows the rate of change in an object's position. The magnitude of a velocity vector represents an object's speed, whereas the vector's direction represents an object's direction. The apex—the highest point on any trajectory—is reached when vy=0. Given that we are aware of the initial location, initial and final velocities, and initial position, we may determine y using the equation v2y=v20y2g(yy0).
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5. The acceleration of gravity at Hartford, Connecticut, is 9. 80336 m/s².
What is the gravitational force acting on a. 25000 kg mass at this
location?
The gravitational force acting on 25000 kg mass at a given location is 2.45 × 10⁵ N.
What is gravity?Gravity can be described as an attractive force on a body towards the center of the earth. Every object having mass applies some force or gravitational pull on another object having mass. Gravity is responsible for the planets in orbit around the sun.
Given, the mass of the object, m = 25000 Kg
The acceleration of gravity at Hartford, Connecticut, g =9.80336 m/s²
The gravitational force acting on the given mass at this location is given by:
F = mg
F = 25000 Kg × 9.80336 m/s²
F = 245084 N
F = 2.45 × 10⁵ N
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a child and his sled have a combined mass of 40 kg. the sled/child system has a speed of 5 m/s speed at the top of a 10 m high slope. the sled and child descend the hill linearly along a distance of 100 m. determine the speed of the child and sled at the bottom of the 100 m slope, if the force of friction between the sled and snow is 20 n.
The speed of the child and sled at the bottom of the slope is 11 m/s.
What is mechanical energy?Mechanical energy, is the sum of potential energy and kinetic energy. The principle of conservation of mechanical energy states that mechanical energy is constant if an isolated system is subjected to only conservative forces.
Combined mass (m) = 40 kg
Speed at top of slope (v) = 5 m/s
Height of slope (h) = 10 m
Entire range of the slope (d) = 100 m
Force of friction (F) = -20 N
Work done by friction (W) = F × d
= -20 × 100
= -2000 J
Kinetic energy (KE) of sled at the top of slope = ¹/₂ mv²
= ¹/₂ × 40 × 5²
= 500 J
Potential energy (PE) of sled at the top of slope = mgh
= 40 × 9.8 × 10
= 3920 J
Now, total energy (E) of sled/child system at the top of slope = KE + PE
= 500 + 3920
= 4420 J
So, the energy left at the bottom of slope:
4420 J - 2000 J
= 2420 J
Now this lost energy is converted into kinetic energy of the system:
KE = ¹/₂ mv²
2420 J = ¹/₂ × 40 × v²
v² = 121
v = 11 m/s
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