The critical value of the coefficient of static friction (μs) is calculated by dividing the maximum static friction force by the normal force. This critical value represents the point at which a person is unable to exert enough force to overcome the maximum static friction and initiate movement of the object.
To calculate the critical value of
, we need to understand the relationship between the maximum static frictional force (fs(max)) and the normal force (N). The maximum static friction can be represented as
fs(max) = N.
This means that static friction increases to match the applied force until it reaches a maximum value, beyond which the object will move. In the provided scenario, the maximum static frictional force required to move the crate is 440 N, with a given normal force due to gravity of 980 N. The coefficient of static friction was given as 0.45. From this, we have the equation 440 N = 0.45 * 980 N.
The critical value occurs when a person is unable to exert a force greater than the maximum force of static friction. If, for example, a person can only exert a force less than 440 N, the critical coefficient would have to be such that the maximum static friction force (N) equals the maximum force the person can exert, thus preventing the initiation of motion.
To determine this critical value, we would set the person's maximum possible force to equal fs(max), solving for
as follows: fs(max) = N. If the maximum possible force exerted by the person is less than 440 N, say 400 N, the critical
would be 400 N / 980 N, which yields a critical value greater than the original of 0.45.
If a cheetah runs at 25 m/s, how long will it take a cheetah to run a 100 m dash?
Answer:
It will take it 4seconds.
Explanation:
The cheetah runs 25m for every 1s. So if you divide 100m by 25m the number of meters it runs in 1s, you will get 4s.
If the sun suddenly ceased to shine, how long would it take earth to become dark? you will have to look up the speed of light in a vacuum and the distance from the sun to earth.
If the sun suddenly ceased to shine, then the earth will become dark after 8 min. The speed of light in a vacuum is given as 3* [tex]10^{8}[/tex] m/sec and the distance from the sun to earth is 148.97 million km.
What is speed of light in vacuum?Light moves at about 300,000 kilometers per second in a vacuum, which has a refractive index of 1.0, but it slows to 225,000 kilometers per second in water and 200,000 kilometers per second in glass, both of which have refractive indices of 1.3.
Given that in the question when sun ceased to shine than light on the earth will come after 8 min of ceasing because sunlight takes 8 min to reach on the earth. The speed of light in a vacuum is 186282 miles per second (299792 km/sec.
Light will come after 8 min when sun ceased to shine.
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A girl pulls a sled with a force of 15 N over a distance of 3 m. What is the kinetic energy of the sled after she pulls it? Assume there is no friction.
Answer:
Kinetic energy, KE = 45 J
Explanation:
It is given that,
Force applied by girl on a sled, F = 15 N
It moves a distance, d = 3 m
We need to find the kinetic energy of the sled after she pulls it. We know that the work done is equal to the change in kinetic energy
[tex]W=\Delta E=K_f-K_i[/tex]
[tex]K_i=0[/tex] (initial at rest)
[tex]KE=W=F\times d[/tex]
[tex]KE=15\ N\times 3\ m=45\ J[/tex]
So, the kinetic energy of the sled after she pulls it is 45 J. Hence, this is the required solution.
How a 300-n force can combine with a 100-n force to produce a net force of 200n on a sled?
To produce a net force of 200 N on a sled, a 300 N force and a 100 N force can combine if there is an opposing force of 200 N acting in the opposite direction.
Explanation:In order to calculate the net force acting on the sled, we need to add the individual forces together. The 300 N force and the 100 N force are acting in the same direction, so we can simply add them together. 300 N + 100 N = 400 N. However, the question states that the net force on the sled is 200 N, so this means that there must be another force acting in the opposite direction. This opposing force must have a magnitude of 200 N in order for the net force to be 200 N.
The __________________ variable is the variable that the scientist changes in an experiment.
The atomic number of an atom is the number of ____.
a) protons and neutrons
b) neutrons
c) electrons and neutrons
d) protons
An office heater puts out 2050 btus of energy in the form of heat per hour. given that 1 btus =1.055 kj, how many megajoules of energy in the form of heat can be produced per year (365 days) by a heater. (assume continuous operation)
An office heater that outputs 2050 BTUs of energy per hour can produce approximately 18,943.32 megajoules of energy per year when operated continuously, due to the conversion from BTU to kilojoules and then to megajoules.
The student wants to know how many megajoules of energy in the form of heat can be produced per year by a heater that puts out 2050 BTUs per hour. Since 1 BTU is equivalent to 1.055 kilojoules (kJ), we first convert the hourly heat output to kJ.
To find the yearly output in kJ, we multiply the hourly output by the number of hours in a year (24 hours/day × 365 days/year).
2050 BTUs/h ×1.055 kJ/BTU = 2162.75 kJ/h2162.75 kJ/h 24 hours/day × 365 days/year = 18,943,320 kJ/yearTo convert kJ to megajoules (MJ), we divide by 1,000 because there are 1,000 kJ in a MJ.18,943,320 kJ/year / 1,000 = 18,943.32 MJ/yearThus, the heater can produce approximately 18,943.32 megajoules of heat energy per year if operated continuously.
Astrology is considered a science because it is grounded in scientific research.
which county in Florida is most in need of safe rooms and hurricane ties?
Answer:
the answer is Miami-Dade
Explanation:
The bright, visible surface of the sun is called the
The bright, visible surface of the sun that we see from the earth is called the photosphere, which emits majority of light and has an average temperature of 5500 degrees Celsius.
Explanation:The bright, visible surface of the sun that we see from Earth is known as the photosphere. The photosphere is the layer of the sun where the majority of the light is emitted. It's responsible for the visible light we see, and hence, it appears bright to us. The average temperature of the photosphere is approximately 5500 degrees Celsius. The sunspots, which are darker and cooler areas, can also be observed in this layer due to magnetic activity.
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you touch a downed power line covered or bare, what’s the likely outcome?
Answer:
The likely result is that you die due to a strong discharge of electricity.
Explanation:
Electricity goes its way to the cities through a high voltage grid. Traveling over hundreds of kilometers of wire, electric power is very dangerous and can cause shock as a result of an electric shock that can kill any living thing. Falling, covered or empty power lines are very dangerous and should not be touched under any circumstances. These lines can contain high voltage energy and cause death if touched by someone who is not properly protected, so it can only be touched by professionals with proper protective equipment.
Now put the names of the planets in increasing order based on their distance from the sun
Answer:Mercury Earth Mars Saturn Neptune
Explanation:
The early earth was much cooler than it is today.
a. True
b. False
An 8.0 cm object is 40.0 cm from a concave mirror that has a focal length of 10.0 cm. Its image is 16.0 cm in front of the mirror. The height of the image produced by the mirror, to the nearest tenth, is cm.
Answer:
-3.2
Explanation:
This question involves the concept of magnification and image height.
The image height is "3.2 cm".
What is Magnification?The magnification of a mirror can be given as the ratio of height of image to the height of object. It can also be given as the ratio of the distance of image from mirror to the distance of object from the mirror.
[tex]M = \frac{h_i}{h_o}=\frac{q}{p}[/tex]
where,
M = magnification[tex]h_i[/tex] = image height = ?[tex]h_o[/tex] = object height = 8 cmq = image distance = 16 cmp = object distance = 40 cmTherefore,
[tex]\frac{h_i}{8\ cm}=\frac{16\ cm}{40\ cm}\\\\h_i=\frac{(8\ cm)(16\ cm)}{40\ cm}[/tex]
[tex]h_i=3.2\ cm[/tex]
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A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is -1.67 m/s^2. Determine the time for the feather to fall to the surface of the moon?
The time for the feather to fall to the surface of the moon is about 1.29 seconds.
Explanation:To determine the time for the feather to fall to the surface of the moon, we can use the equation:
distance = (initial velocity × time) + (0.5 × acceleration × time^2)
Since the feather is dropped, its initial velocity is 0 m/s. The distance is 1.40 meters and the acceleration is -1.67 m/s^2. Plugging these values into the equation and solving for time:
1.40 = 0.5 × (-1.67) × time^2
time^2 = -1.40 / (-0.5 × 1.67)
time^2 = 1.67
time ≈ √1.67
Using a calculator, the approximate value of √1.67 is 1.29 seconds. Therefore, it will take about 1.29 seconds for the feather to fall to the surface of the moon.
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Earth is surrounded by a blanket of air called
What is the effective (rms) current value for an ac current with an amplitude of 10 a?
Two cars are driving on a straight section of the interstate in opposite directions with 70 mph. They are one mile apart.
a) They have the same velocity.
b) They have the same speed.
c) None of the above.
I don't understand this question. Please some one explain to me!
What is the mass of a cylinder of lead that is 1.80 in in diameter, and 4.12 in long. the density of lead is 11.4 g/ml?
The mass of the lead cylinder is 1963.53 grams.
Given that;
The mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long.
Now for the mass of a lead cylinder, use the formula:
Mass = volume × density
First, calculate the volume of the cylinder.
The volume of a cylinder is given by:
[tex]\text {Volume} = \pi r^2 h[/tex]
where r is the radius and h is the height.
Given that the diameter of the cylinder is 1.80 in,
Hence, find the radius by dividing it by 2:
Radius = 1.80 in / 2
Radius = 0.90 in
Next, convert the radius and height to the same unit as the density, which is grams per millilitre (g/ml).
Let's convert the dimensions to centimetres.
Since; 1 inch = 2.54 cm:
Hence, We get;
Radius = 0.90 in × 2.54 cm/in
= 2.29 cm
Height = 4.12 in × 2.54 cm/in
= 10.46 cm
Now, calculate the volume:
[tex]\text { Volume} = \pi \times (2.29 cm)^2 \times 10.46 cm[/tex]
[tex]= 172.24 cm^3[/tex]
Since the density of lead is given as 11.4 g/ml, we need to convert the volume from cm³ to ml:
[tex]Volume = 172.24 cm^3 \times (1 ml / 1 cm^3)[/tex]
[tex]= 172.24 ml[/tex]
Finally, calculate the mass using the formula:
Mass = Volume × Density
Mass = 172.24 ml × 11.4 g/ml
Mass = 1963.53 g
Therefore, the mass of the lead cylinder is 1963.53 grams.
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Final answer:
To find the mass of a lead cylinder with given dimensions and density, calculate the cylinder's volume in cubic centimeters (which equals milliliters), then multiply by the density of lead to find the mass in grams. The mass of the cylinder is approximately 1892.63 grams or 1.893 kg.
Explanation:
The student is asking for the mass of a cylinder of lead with a diameter of 1.80 inches and a length of 4.12 inches, given that the density of lead is 11.4 g/ml. To solve this, we first need to calculate the volume of the cylinder using the formula V = πr^2h, where V is volume, r is radius (half the diameter), and h is height (or length in this case). Then, we convert the volume into milliliters (since the density is given in g/ml) and use the density formula (mass = density × volume) to find the mass.
First, convert the dimensions to centimeters because the density is given in g/cm³ (1 inch = 2.54 cm).
Diameter in cm: 1.80 inches × 2.54 = 4.572 cmLength in cm: 4.12 inches × 2.54 = 10.46 cmRadius in cm: 4.572 cm / 2 = 2.286 cmVolume of cylinder = π × (2.286 cm)^2 × 10.46 cm = approximately 166.02 cm³Convert cm³ to ml (1 cm³ = 1 ml), so volume = 166.02 ml.Mass of the lead cylinder = 11.4 g/ml × 166.02 ml = approximately 1892.63 grams or 1.893 kg. Chang sees the following formula on a website about Newton’s second law.
What does the symbol F in the formula indicate that Chang needs to do?
A. He needs to find the net force acting on the object in a direction.
B. He needs to use only forces acting in the direction of motion.
C. He needs to combine the horizontal and vertical forces.
D. He needs to multiply the horizontal and vertical forces.
This question is based on the fundamental principle of laws of motion.
Before going to describe Newton's second law, first we fave to understand Newton's first law.As per Newton's first law it is impossible to change the state of rest or of uniform motion of an object along straight line unless and until it is compelled by external unbalanced force. It indicates that when there is a net or unbalanced force acts on the body,it will undergo motion.. Balanced forces have no role in changing the state of motion or rest of the body.
Now we have to understand newton's second law. It states that the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force. Mathematically it is given by-
[tex]F\alpha \frac{dp}{dt}[/tex]
Here p is the momentum and t is the time.
The symbol F in the above equation stands for the net force not on force only.It is so because the momentum of a body will change when there will be a net force acting on it.All the forces acting on the body can cot contribute to the motion.Some forces may cancel each other.Only the unbalanced or net force can do so.
Hence option A is right.
what forces contribute to density
Discuss any two current processes that can be used to ensure that there is enough clean water
How much force is needed to accelerate a 1,100 kg car at a rate of 1.5 m/s2?
A bottle dropped from a balloon reaches the ground in 20 s. determine the height of the balloon if (a) it was at rest in the air and (b) it was ascending with a speed of 50 m/s when the bottle was dropped.
Final Answer:
a) 1960 m
b) 1860 m
Explanation:
a) When the balloon is at rest, the height it was dropped from can be calculated using the formula for free fall: [tex]\( h = \frac{1}{2} g t^2 \)[/tex], where h is the height, g is the acceleration due to gravity, and t is the time taken. Substituting the given values, we find [tex]\( h = \frac{1}{2} \times 9.8 \, \text{m/s}^2 \times (20 \, \text{s})^2 = 1960 \, \text{m} \)[/tex].
b) If the balloon is ascending with a speed of 50 m/s when the bottle is dropped, we subtract the distance traveled by the balloon in 20 s from the height calculated in part (a). The distance traveled by the ascending balloon is [tex]\( 50 \, \text{m/s} \times 20 \, \text{s} = 1000 \, \text{m} \)[/tex]. Therefore, the height of the balloon is [tex]\( 1960 \, \text{m} - 1000 \, \text{m} = 960 \, \text{m} \)[/tex].
whats a medium? in physics
It takes one kilogram of metal to make a certain solid cube. What mass of metal is needed to make a cube of the same metal whose edges are twice as long as the first? Explain your answer.
Put each event in order of its occurrence, according to the big bang theory. please note that more accurate calculations of the age of each event are still actively being researched, so there is some variability in estimations that you might find on the internet. a few seconds after the big bang ~800 million years after the big bang ~9 billion years after the big bang ~1 billion years after the big bang
a. formation of hydrogen and helium atoms
b. formation of large nebulae into protostars and eventually full blown stars
c. early massive stars exploded producing supernovae and heavier elements
d. formation of our sun and the earth
Final answer:
The chronological order of events according to the Big Bang theory begins with the formation of hydrogen and helium atoms a few seconds after the Big Bang, followed by the formation of protostars and stars around 400 to 500 million years later. Subsequent events include the creation of heavier elements through supernova explosions, culminating in the formation of our Sun and the Earth about 9 billion years after the Big Bang.
Explanation:
To put each event in order of its occurrence according to the Big Bang theory, we can use our knowledge of cosmic history and the timelines provided by theoretical predictions and observational evidence to create a chronological list.
Formation of hydrogen and helium atoms - This event occurs a few seconds after the Big Bang, when the universe was extremely hot and dense, allowing for the creation of protons, neutrons, and eventually leading to the formation of hydrogen and helium nuclei.
Formation of large nebulae into protostars and eventually full-blown stars - About 400 to 500 million years after the Big Bang, the universe had expanded and cooled enough for the first stars and galaxies to begin forming from large clouds of gas.
Early massive stars exploded producing supernovae and heavier elements - This process of star formation and destruction, including supernovae, would have begun relatively soon after the first stars formed and continued throughout the history of the universe, enriching the interstellar medium with heavier elements over time.
Formation of our Sun and the Earth - Our solar system, including the Sun and Earth, formed about 9 billion years after the Big Bang, from the gravitational collapse of a region within a large molecular cloud.
A speeder passes a parked police car at 26.8 m/s. instantaneously, the police car starts from rest with a uniform acceleration of 2.40 m/s2 . how much time pases before the speeder is overtaken by the police car? answer in units of s.
The velocity of the speeder is expressed by the equation:
v1 = d1 / t1 --> d1 = v1 t1
And for the police:
d2= v2i t2 + 0.5 a2 t2^2
where v is final velocity, vi is initial velocity, d is distance, a is acceleration and t is time
The distance of the two must be equal when the police overtakes the speeder hence:
v1 t1 = v2i t2 + 0.5 a2 t2^2
t1 = t2 = t and v2i = 0 since the police starts at rest, so:
26.8 t = 0.5 * 2.4 * t^2
26.8 = 1.2 t
t = 22.33 seconds
Which of the following correctly compares gravitational force and distance between two objects?
As the distance increases, the gravitational force increases.
As the distance increases, the gravitational force decreases.
As the distance decreases, the gravitational force decreases.
There is no relationship between gravitational force and distance between two objects.
Answer:
[force hope this help]
Explanation:
The radius of a molybdenum atom is 136 pm. how many molybdenum atoms would have to be laid side by side to span a distance of 2.52 mm
Answer:
9264706 molybdenum atoms have to be laid.
Explanation:
The parameter of the atom which will determine the number of atoms needed to span a certain distance is the diameter. Diameter (d) is simply two times radius(r):
[tex]d=2r=2*136pm=272pm[/tex] (eq. 1)
If we express the number of molybdenum atoms needed with the letter x, the spanned distance (2.52mm) has to be equal to the number of atoms (x) times the diameter of these atoms.
[tex]2.52mm=x*d[/tex] (eq 2.)
Before stating an equation, all units have to be consistent (272 picometres expressed in mm, or 2.52mm expressed in pm, either one). Let's convert 272pm, using a conversion factor:
Conversion factor: [tex]1mm=1*10^9pm[/tex]
[tex]272pm=272pm*(\frac{1mm}{1*10^9pm})=2.72*10^-7mm[/tex]
Now, solving for "x" in the second equation:
[tex]x=\frac{2.52mm}{d}[/tex]
Plugging in the "d" value:
[tex]x=\frac{2.52mm}{2.72*10^-7mm}=9264706[/tex]