The spring constant (k) can be calculated using the formula:
k = F/x
where F is the applied force and x is the resulting displacement.
Plugging in the given values, we get:
k = 4 N / 0.05 m
k = 80 N/m
Therefore, the spring constant of the spring is 80 N/m.
When you compress or extend a spring – or any elastic material – you’ll instinctively know what’s going to happen when you release the force you’re applying: The spring or material will return to its original length. It’s as if there is a “restoring” force in the spring that ensures it returns to its natural, uncompressed and un-extended state after you release the stress you’re applying to the material. This intuitive understanding – that an elastic material returns to its equilibrium position after any applied force is removed – is quantified much more precisely by Hooke’s law.
To know more about spring constant please visit
https://brainly.com/question/31839769
#SPJ11
What is the momentum of a 750-kg Volkswagen Beetle when at rest? (value only, no units)
Value:
Answer:
P = 0
Explanation:
Momentum is defined as the quentity of motion contained in a body. Mathematically, it can be defined as the product of mass and velocity. So, in order to determine the Volkswagen Beetle, at rest, we can use the simple formula, as follows:
\(P = mv\)
where,
P = Momentum of Volkswagen Beetle = ?
m = Mass of Volkswagen Beetle = 750 kg
v = Velocity of Volkswagen Beetle = 0 m/s (since, it is at rest)
Therefore,
\(P=(750)(0)\)
P = 0
12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.
Answer:
i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii) Find the value of k first: F = 400 + k(15^2) k = 28/9 F = 400 +(28/9)(30^2) = 320
Explanation:
Not allowed to use kinematics
Answer:
A. 131.9 s
B. 0.13 m/s
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 490 Kg
Height (h) = 17 m
Power (P) = 0.83 hp
Time (t) =?
Velocity (v) =.?
Next, we shall convert 0.83 hp to Watts. This can be obtained as follow:
1 hp = 745.7 Watts
Therefore,
0.83 hp = 0.83 hp × 745.7 Watts / 1 hp
0.83 hp = 618.931 Watts
Thus, 0.83 hp is equivalent to 618.931 Watts.
A. Determination of the time.
Mass (m) = 490 Kg
Height (h) = 17 m
Power (P) = 618.931 Watts
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
Power = Energy / time
P = mgh / t
618.931 = 490 × 9.8 × 17 / t
618.931 = 81634 / t
Cross multiply
618.931 × t = 81634
Divide both side by 618.931
t = 81634 / 618.931
t = 131.9 s
Therefore, it will take 131.9 s to lift the beam.
B. Determination of the constant velocity.
We'll begin by calculating the force. This can be obtained as follow:
Mass (m) = 490 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Force (F) =?
Force = mass × acceleration
Force = 490 × 9.8
Force = 4802 N
Finally, we shall determine the constant velocity as follow:
Force (F) = 4802 N
Power (P) = 618.931 Watts
Velocity (v) =?
P = F × v
618.931 = 4802 × v
Divide both side by 4802
v = 618.931 / 4802
v = 0.13 m/s
Thus, the constant speed at which the beam moves upward is 0.13 m/s
Using Models The moon in its orbit around
Earth behaves like a ball at the end of a string
being swung above your head. Explain the
forces involved.
Answer: A gravitational pull is keeping the ball in place and not letting it go flying into the air. so simple answer is gravity
Following a lecture on transverse and longitudinal waves, four students make venn diagrams to characterize these waves. which venn diagram is correct? a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string, created by a disturbance and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, all parts of the electromagnetic spectrum, vibrating string, medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and can travel through a vacuum. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, all parts of the electromagnetic spectrum and travel faster in a denser medium. the overlapping region has entries, created by a disturban
Venn diagram B is correct. A Venn diagram is a type of graph that uses circles to depict connections between objects or fixed groups of entities.
What Is a Venn Diagram and how does It Work?A Venn diagram is a diagram that uses circles to depict relationships between objects or finite groups of objects. Circles that overlap share characteristics, whereas circles that do not overlap do not.
A Venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular.
The circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium.
The overlapping region has entries, created by a disturbance, has speed, and travels through solids.
Hence Venn diagram B is correct
To learn more about the Venn Diagram refer to the link;
https://brainly.com/question/1703814
How does the structure of the article What makes good people do bad things make the author's argument more efective
The correct answer to this open question is the following.
Although there are no options attached we can say the following.
The structure of the article makes the author's argument more effective because the author shares factors that drive people from behaving correctly to behave incorrectly. And these factors are the following. Anonymity when people hide to do damage. Dehumanizing and offend others. Make people feel there are unworthy and despicable. Another one, power and control of people and situations.
In October 2004, author Melissa Dittmann wrote the article "What Makes Good People Do Bad Things?" in the American Psychological Association (APA). In her article, she refers to the fact that under certain circumstances, good people can end up doing horrible things. Social situations force normal people to transform their behavior and they cause harm to others. The specific case she mentions is the abuse of Iraqi prisoners at Aby Ghraib. This situation was documented by Philip G. Zimbardo, professor of Standford University.
Zimbardo's classic prisoner study at Stanford University revealed how social roles influence our behavior. It was conducted by Philip Zimbardo in 1971. It was used to illustrate the theory of Cognitive Dissonance and the power of authority.
The abuse scandal in Abu Gharib prison in Iraq (2003) depicted soldiers abusing detainees. Eleven US soldiers were convicted for crimes committed against prisoners.
A film badge worn by a radiologist indicates that she has received an absorbed dose of 2. 5 x 10-6 gy. the mass of the radiologist is 71 kg. how much energy has she absorbed?
Energy absorbed by the radiologist is 1.775*10^-6J.
To find the answer, we have to know about the radiation.
How much energy has she absorbed?We have the expression for dose of absorption as,\(D=\frac{E}{m}\)
where; E is the energy absorbed and m is the mass of the body.
From the above expression, substituting appropriate values given in the question, we get,\(E=D*m=2.5*10^{-6}J/kg*71kg=1.775*10^{-4}J\)
Thus, we can conclude that, the Energy absorbed by the radiologist is 1.775*10^-6J.
Learn more about the radiation here:
https://brainly.com/question/24491547
#SPJ4
In 1838 botanist Matthias Schleiden determined that all plants are composed of cells. In 1839 anatomist Theodor Schwann proposed that all animals are composed of cells. In 1855 biologists Rudolph Virchow added to Schleiden & Schwann’s observations and proposed that all living things are composed of cells. Which statement is also part of Virchow’s theory? Group of answer choices all cells have a cell wall all cells can develop into any other type of cell all cells come from pre-existing cells all cells are capable of photosynthesis
Answer:
All cells come from pre-existing cells
Explanation:
Rudolf Virchow, a German Physician, stated the theory that all cells arise from pre-existing cells. He used this theory to explain disease pathology at the cellular level. His work helped clarify that diseases occur not at tissue or organ level, but at the cellular level. This resulted in more accurate diagnosis of diseases by other scientists.
His legacies includes being among the first to use animals in his research, first to name numerous diseases and also the creation of many medical terms still in use today.
Pick the right answer
The positive x-direction is east and the positive y-direction is north. If a raven starts from the origin and flies with a constant velocity of 16 m/s directed 60° north of east, a. How far East has the raven traveled in 5 minutes? b. How far North has the raven traveled in 10 minutes? c. What is the total displacement after 10 minutes? 1 pt for diagram or listed variables 1 pt for correct equation 2 pt for correct substitutions 1 pt for correct answer with units
a) The raven has traveled 2400 m eastward in 5 minutes; b) The raven has traveled 7200 m northward in 10 minutes ; c) The total displacement after 10 minutes is 7585.4 m.
Given: The magnitude of the velocity of the raven, v = 16 m/s. The angle that the velocity vector makes with the positive x-axis, θ = 60°.The time that the raven flies in the x-direction, t₁ = 5 minutes. The time that the raven flies in the y-direction, t₂ = 10 minutes.
a) We can use the formula: Δx = v cos θ t₁
Substitute v = 16 m/s, θ = 60° and
t₁ = 5 minutes
= 5 × 60 s
= 300 s.
Δx = 16 × cos 60° × 300Δx
= 16 × 1/2 × 300Δx
= 2400 m
Therefore, the raven has traveled 2400 m eastward in 5 minutes.
b) We can use the formula: Δy = v sin θ t₂
Substitute v = 16 m/s, θ = 60°, and
t₂ = 10 minutes
= 10 × 60 s
= 600 s.
Δy = 16 × sin 60° × 600Δy
= 16 × √3/2 × 600Δy
= 7200 m
Therefore, the raven has traveled 7200 m northward in 10 minutes.
c) The total displacement, d can be found using the Pythagorean theorem: d₂ = Δx₂ + Δy₂
Substitute Δx = 2400 m and Δy = 7200 m.
d₂ = 24002 + 72002 d₂
= 57600000d
= √57600000d
= 7585.4 m (rounded to one decimal place)
Therefore, the total displacement after 10 minutes is 7585.4 m.
To know more about total displacement , refer
https://brainly.com/question/28744437
#SPJ11
Which astronomer designed scientific instruments, including a new kind of thermometer, an improved compass, and a more powerful telescope? he also discovered four moons orbiting the planet jupiter.
Galileo Galilei astronomer designed scientific instruments, including a new kind of thermometer, an improved compass, and a more powerful telescope.
What does a astronomer do?Study on planets, asteroids, and other celestial bodies is done by astronomers. They use both space- and ground-based technologies, including as telescopes like the Space Telescope Hubble. Some astronomers study distant galaxies as well as things such as pulsars and black holes.
Do astronomers work at NASA?Astronomy, atmospheric science, physics, and astrobiology, the study of space biology, are some of the scientific fields that are the most likely to lead to employment at Space agency. NASA uses 15 different types of scientists, demonstrating the significance of scientists from all specialities in space exploration.
To know more about Astronomers visit:
https://brainly.com/question/14853303
#SPJ4
Mechanic pulley system
Help please
Answer:
M g - T = NB vertical force on box B
T - m g = NA vertical force on box A
T must be uniform (same) throughout length of string
(M - m) g = NB + NA = (M + m) a since F accelerates M and m
Note: one can enclose the entire system with no external forces
No net vertical force or horizontal force is present - the net vertical force is A + B + C - masses of these objects * g
One would write a = (M - m) * g / (M + m)
The masses and tensions influence the accelerations of the boxes while considering friction and normal forces on block C.
When box A and B are released, their accelerations can be calculated using Newton's second law, (F = ma), where (F) is the net force and (a) is the acceleration.
The net force is the difference between the gravitational force (mg) and the tension in the rope (T).
For box A:
Net force: \(\rm \(F_{\text{net,A}} = T - mg\)\)
Using \(\rm \(T = m \cdot a_A\)\), where \(\rm \(a_A\)\) is the acceleration of box A:
\(\rm \(ma_A = T - mg\)\\\rm \(a_A = \frac{T}{m} - g\)\)
For box B:
Net force: \(\rm \(F_{\text{net,B}} = mg - T\)\)
Using \(\rm \(T = M \cdot a_B\)\), where \(\rm \(a_B\)\) is the acceleration of box B:
\(\rm \(Ma_B = mg - T\)\\\rm \(a_B = g - \frac{T}{M}\)\)
Now, considering friction and the normal force between block C and the ground:
The friction force \(\rm (\(F_{\text{friction}}\))\) can be calculated using the equation \(\rm \(F_{\text{friction}} = \mu N\)\), where \(\rm \(\mu\)\) is the coefficient of friction and (N) is the normal force.
The normal force (N) is equal in magnitude to the weight of block C \((mg_{C})\) since it's not accelerating vertically:
\(\rm \(N = mg_C\)\)
To summarize:
Acceleration of box A: \(\rm \(a_A = \frac{T}{m} - g\)\)
Acceleration of box B: \(\rm \(a_B = g - \frac{T}{M}\)\)
Friction force on block C: \(\rm \(F_{\text{friction}} = \mu mg_C\)\)
Normal force on block C: \(\rm \(N = mg_C\)\)
The masses and tensions influence the accelerations of the boxes while considering friction and normal forces on block C.
Know more about gravitational force:
https://brainly.com/question/32609171
#SPJ3
you have a 215-mile trip to a vacation spot. including the stop for gas and snacks, your average speed for the trip was 45 miles per hour. how long did it take for you to reach your destination?
Answer:
It took around 4 hours and 47 minutes to reach the vacation spot, including the stop for gas and snacks.
Explanation:
To solve this problem, we can use the formula:
time = distance / speed
In this case, the distance is 215 miles and the speed is 45 miles per hour. So,
time = 215 miles / 45 miles per hour = 4.78 hours or approximately 4 hours and 47 minutes.
Answer:
\(\huge\boxed{\sf t = 4.78\ hours}\)
Explanation:
Given data:Distance = S = 215 miles
Average speed = v = 45 mph
Required:Time = t = ?
Formula:v = s/t
Solution:Put the given data in the above formula.
45 = 215/t
t = 215/45
t = 4.78 hours\(\rule[225]{225}{2}\)
the angle between the incident ray and the reflected ray is 800. what is the angle of incidence
Answer:
50 degrees
Explanation:
the angle between the incident ray and the reflected ray is 80 degrees
80 degrees + inc + refl = 180
inc = refl = 50 degrees
a physics instructor conducts a projectile motion demonstration. The device used will drop one steel ball and horizontally launch another. If no air resistance is presented which steel ball, the one launced or the one dropped, striked the ground first?
(a) The launched ball
(b) The dropped ball
(c) both hit a the same time
(d) neither hit the ground
Answer:
Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory. The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement. In this section, we consider two-dimensional projectile motion, such as that of a football or other object for which air resistance is negligible.
Explanation:
B the dropped ball
find the mass of a wrecking ball at 6m/s and has a momentum of 3600kg x m/s
the mass must be in kilograms (kg)!
m/s means "meters per second"
kg x m/s is supposed to mean "kilograms times meters per second"
also, the equation to find this is force divided by acceleration
thank you!!!
Answer:
600kgExplanation:
MOMENTUMThis is a product of a mass and velocity of a moving or a rest body.
it is expressed as P(momentum)=M(mass) × V(velocity)
Its SI unit is kgm/s
From our question.
Given
Momentum=3600kgm/s
Velocity=6m/s
RTF=Mass
Solution
P=M×V
M=P/V
= 3600kgm/s
6m/s
= 600kgThe earth revolves around the sun in its orbit as shown in the figure. Is there any difference in the amount of gravitational force of the sun towards the earth when the earth moves from a point A to point B on its orbit? Explain.
Answer:
No.
Explanation:
There is no change in gravitational force based on the sizes remaining the same. If there was a change in gravitational force the orbits of all planets would change.
Jain applies a input force of 100 N to a lever that has a Mechanical advantage of 3. What is the output force
Answer:
Output force = 300 N
Explanation:
Given that,
The mechanical advantage of a lever, m = 3
Input force, \(F_i=100\ N\)
We need to find the output force. The ratio of output force to the input force is called the mechanical advantage of the lever. So,
\(m=\dfrac{F_o}{F_i}\\\\F_o=m\times F_i\\\\F_o=3\times 100\\\\F_o=300\ N\)
So, the output force is 300 N.
A force of 8 lb8 lb is required to keep a spring compressed to 13 ft13 ft shorter than its equilibrium length. what is its spring constant? =k= lb/ft
By using Hooke's Law, the spring constant is 0.62 lb/ft.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
From the question above, we know that
F = 8 lb
x = 13 ft
By substituting the given parameters, we get
F = k . x
8 = k . 13
k = 8/13
k = 0.62 lb/ft
Hence, the spring constant is 0.62 lb/ft.
Find more on Hooke's Law at: https://brainly.com/question/12253978
#SPJ4
1. What is the weight (force due to gravity) of an object that has a mass of 15 kg?
Answer: 1470 N
Explanation: mass = 15
weight is the product of mass and force due to gravity
AS WE KNOW THAT
W = mG
W = 15 X 9.8
W = 1470 N
a person having a near point of 25 cm uses a magnifying glass with a focal length of 10 cm. what is the angular magnification of the glass for that person when her eyes are focused at infinity?
The angular magnification of the glass for that person when her eyes are focused at infinity is 2.5.
In the case where the image appears at infinity, let \($\mathrm{i}=-|\mathrm{i}| \rightarrow-\infty$\), so that \($1 / p+1 / 1=1 / p=1 / f$\), we have
\(\mathrm{m}=\frac{\theta^{\prime}}{\theta}=\frac{\mathrm{h} / \mathrm{p}}{\mathrm{h} / \mathrm{P}_{\mathrm{n}}}=\frac{1 / \mathrm{f}}{1 / \mathrm{P}_{\mathrm{n}}}=\frac{\mathrm{P}_{\mathrm{n}}}{\mathrm{f}}=\frac{25 \mathrm{~cm}}{\mathrm{f}}$$\)
With \($\mathrm{f}=10 \mathrm{~cm}$\),
\($$\mathrm{m}_\theta=\frac{25 \mathrm{~cm}}{10 \mathrm{~cm}}=2.5$$\)
At its focal point, the objective lens creates a true image of an extremely distant object. The eyepiece acts as a magnifying glass and creates a virtual picture that the spectator can see. The telescope's angular magnification is m = fo / fe.
The standard formula for focal length looks like this: Image distance and object distance are both provided in millimetres, therefore one focal length equals one image distance plus one object distance.
To learn more about angular magnification visit:https://brainly.com/question/17327671
#SPJ4
Conduction shape factors are only available for cases when heat transfer occurs between two specified temperature differences.
a. true
b. false
The answer is (b) false. Conduction shape factors, also known as geometrical shape factors or view factors, are not limited to cases when heat transfer occurs between two specified temperature differences.
Shape factors are used in various heat transfer processes, including conduction, convection, and radiation. They are used to calculate the heat transfer rate between different surfaces or regions.
In conduction, shape factors are commonly used to determine the heat transfer rate between different geometries or surfaces. They take into account the geometric configuration and orientation of the surfaces involved in the heat transfer process. By considering the shape factors, one can determine the fraction of heat energy transferred between surfaces.
While shape factors are commonly used in conduction problems, they are not exclusive to conduction. They can also be applied to other modes of heat transfer such as convection and radiation. For example, in radiation heat transfer, shape factors are used to determine the fraction of radiative energy exchanged between different surfaces based on their orientation, configuration, and emissivity.
Therefore, the statement that conduction shape factors are only available for cases when heat transfer occurs between two specified temperature differences is false. Shape factors have a broader application and are used in various heat transfer scenarios beyond conduction.
Learn more about heat transfer here: brainly.com/question/31065010
#SPJ11
A positive test charge of 8.5 × 10 negative 7 Columbus experiences a force of 4.1 × 10 negative 1 N calculate the electric field created by the positive test charge also specify the direction of the electric field with respect to the force
Explanation:
direction of electric field is same as that of force experienced by the test charge
Answer:
Comments/Reasoning Calculations/Results
I used the equation for calculating electric field strength. E = F/q
I substituted the values of F and q in the equation to get
this value of E E= (4.1 x10-1)/(8.5 x10-7)
The electric field strength is 4.8 × 105 newtons/coulomb
Explanation:
edmentum sample answer
If a car collides with a moving bus, what type of relationship exists between the force of the car and the force of the bus?.
Equal but in opposing directions, forces of the car and the force of the bus.
Given that both objects are moving, you can be sure that the collision is elastic and that the forces involved in the collision between the bus and the car will be equal.
Without force, objects cannot be moved, stopped, or changed direction. Force can be defined as the pushing or pulling of any object as a result of the object's interaction or movement. In nature, there are various types of forces that interact quantitatively between two physical bodies, such as an object and its surroundings. If an object is in motion or in a static state, the position of the object can only be changed by an external force—referred to as force—pushing or pulling against it. The various types of contact force include spring force, applied force, air resistance force, normal force, tension force, friction force, and others that are generated when we exert some effort on an object. Non-contact forces, which include electromagnetic, gravitational, and nuclear forces, are another category of forces that exist at a distance.
To know more about contact force, click on the link below:
https://brainly.com/question/18451249
#SPJ4
how can you convert 54 grams to kilograms
Answer:
0.054 kilograms
Explanation:
divide 54 by 1000
so, 54/1000=0.054 kilograms.
Help please ASAP !! Thanks
Answer:
I think its C
Explanation:
Which is true? if the angle between them is smaller than that given by Rayleigh's criterion. Two objects are resolvable Two objects are resolvable if the angle between them is equal to that given by Rayleigh's criterion. O Two objects are resolvable if the angle between them is greater than that given by Rayleigh's criterion.
The correct statement is: Two objects are resolvable if the angle between them is smaller than that given by Rayleigh's criterion.
Rayleigh's criterion, also known as the Rayleigh criterion of resolution, provides a criterion for determining the minimum angle at which two objects can be resolved as separate entities in an optical system, such as a telescope. According to Rayleigh's criterion, two point sources are just resolvable if the central maximum of the diffraction pattern produced by one source coincides with the first minimum of the diffraction pattern produced by the other source.
In practical terms, this means that if the angle between the objects is smaller than the angle determined by Rayleigh's criterion, they will appear as separate and distinct objects. On the other hand, if the angle between the objects is equal to or greater than the angle given by Rayleigh's criterion, they will blend together and cannot be resolved as separate entities.
Therefore, for two objects to be resolvable, the angle between them must be smaller than the angle specified by Rayleigh's criterion. This criterion defines the limit of resolution and is influenced by factors such as the wavelength of light and the aperture size of the optical system.
To know more about the optical system click this link-
https://brainly.com/question/30455238
#SPJ11
The borders, or cracks, between tectonic plates are called ________.
A
lithospheres
B
synclines
C
anticlines
D
faults
Crate is being pushed a constant velocity. What forces are being used?
79.8329 + 3.179 + 6.5263
And round
Answer:
90.0
Explanation:
Because 78.8329 + 3.179=83.0119
83.0119 + 6.5263=89.5382 rounded up is 90.0000
Hope this helps have a awsome afternoon:)