Answer:
The minimum force the climber must exert is about 439N.
Explanation:
We use the relationship between friction and normal force to answer this question:
[tex]F_{friction} = \mu_{static} \cdot F_{normal}\implies F_{normal}=\frac{F_{friction}}{\mu_{static}}[/tex]
We are given the static coefficients of friction but need to determine the friction force. To do that we consider the totality of forces acting on this hapless gentleman stuck in a chimney. There is the gravity acting downward (+), then there are two friction forces acting upward (-), namely through his shoes and his back. The horizontal force exerted by the climber on both walls of the chimney is the same and is met with equally opposing normal force. Since the climber is not falling the net force in the vertical direction is zero:
[tex]F_{net} = 0 = F_g - F_{shoes}-F_{back}= mg - \mu_{shoes}F_{norm}-\mu_{back}F_{norm}\\F_{norm}=\frac{mg}{\mu_{shoes}+\mu_{back}}=\frac{64.5kg\cdot 9.8\frac{m}{s^2}}{0.8+0.64}\approx 438.96N\\[/tex]
The normal force in this equilibrium is about 439N and because we are told that the static friction forces are both at their maximum, this value is at the same time the minimum force needed for the climber to avoid starting slipping down the chimney.
The climber must exert normal forces with his shoes and back to stay stationary in the chimney, counteracting his weight through friction. Assuming an even distribution for simplicity, a normal force of at least 439.24 N at each point would be necessary to maintain his position.
Minimum Normal Force by a Climber
To determine the minimum normal force the climber must exert to stay stationary in the chimney, we first need to consider the forces acting on the climber. There are two frictional forces that counteract the climber's weight: the friction on the shoes and the friction on the back. Since we are ignoring the climber's grip on the rope, these frictional forces are the only forces preventing the climber from falling.
The climber's weight (W) is calculated by the formula W = m × g, where 'm' is the mass of the climber (64.5 kg) and 'g' is the acceleration due to gravity (9.8 [tex]m/s^2[/tex]). For the climber to remain stationary, the friction forces (f) on both the shoes and the back must equal the weight. The maximum friction force is given by f = μ × N, where 'μ' is the coefficient of friction and 'N' is the normal force.
The total normal force exerted by the climber is the sum of the normal forces from the shoes and the back. To find the minimum normal force, we set the two friction forces equal to the climber's weight:
[tex]f_{shoes} = \mu_{shoes} \times N_{shoes}\\f_{back} = \mu_{back} \times N_{back}\\W = f_{shoes} + f_{back}[/tex]
Solving for [tex]N_{shoes}[/tex] and [tex]N_{back}[/tex] gives us the total normal force required, which must be the sum of the two since they happen at different points on the climber's body.
The static coefficients of friction given are 0.80 for the shoes and 0.64 for the back. We can use these to find the normal force exerted at each point if we knew the distribution of weight between the climber's shoes and back, which isn't provided. If we assume an even distribution for simplicity, though it's not necessarily accurate, the calculation would be as follows:
W = 64.5 kg × 9.8 [tex]m/s^2[/tex] = 632.1 N
[tex]F_{shoes} + F_{back} = W\\0.80 \times N_{shoes} + 0.64 \times N_{back} = 632.1 N[/tex]
If [tex]N_{shoes}[/tex] = [tex]N_{back}[/tex] (even distribution), then [tex]N_{shoes}[/tex] = [tex]N_{back}[/tex] = 632.1 N / (0.80 + 0.64)
[tex]N_{shoes}[/tex] = [tex]N_{back}[/tex] = 632.1 N / 1.44
[tex]N_{shoes}[/tex] = [tex]N_{back}[/tex] = 439.24 N
Therefore, the climber must exert a normal force of at least 439.24 N with each his shoes and back in an ideal even distribution scenario to not fall.
Which of the following is a meander that has been cut off from a river?
A)Coastline
B)Gully
C)Oxbow lake
D)Stream
Answer:
oxbow lake
Mark as brainliest, please!?
Explanation:
A 3kg object moving at 15 m/s what is the momentum
p=m•v=3•15=45 kg•m/s
a young man exerted a force of 900 newtons for 10 seconds to push his car that had ran out of gas. however he could not get the car to move. how much work did he do?
A-9000 joules
B-9000 watts
C-90 joules
D-90 watts
E-no work was done
Work done is defined as product of force and displacement of point of application of force.
So here we will have
[tex]W = F.d[/tex]
now since here after applying the force the car is not displaced from its position
So here we have
d = 0
so work done is given as
[tex]W = 900 \times 0 = 0[/tex]
so there is no work done in this case
A scientist wants to publish a report on a general feeding habits of a moose in Canada. He should
A scientist wants to publish a report on a general feeding habits of a moose in Canada. He should observe as many moose as he can in as many locations as possible.
What is scientific observation?In science, observation is vital. Scientists gather and record data through observation, which allows them to create and subsequently test ideas and hypotheses. Scientists can observe in many different ways, including using their own senses or instruments like telescopes, thermometers, satellites, or stethoscopes.
These instruments enable more accurate and precise observations. Tools can also be used to collect data about subjects we can't directly experience, like deep space.
To publish a report on a general feeding habits of a moose in Canada, the scientist should observe as many moose as he can in as many locations as possible.
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A stunt car with a mass of 1000 kg crashes into a tree on a movie set during the collision acceleration of the car with 3 m what was the force of impact of the collision on the car
F=m•a=1000•3=3000 N=3kN
The force of impact during the collision of a stunt car with a tree, given a mass of 1000 kg and an acceleration of 3 m/s^2, is 3000 Newtons (N), calculated using Newton's second law of motion.
Explanation:To find the force of impact of the collision on a stunt car that crashes into a tree, we can use Newton's second law of motion, which states that the force acting on an object equals its mass times its acceleration (F = ma). In this case, the mass (m) of the car is given as 1000 kg, and the acceleration (a) during the collision is mistakenly referred to as '3 m', which seems like a typo for '3 m/s2'. Assuming the acceleration is indeed 3 m/s2, the calculation would be:
F = 1000 kg × 3 m/s2 = 3000 N.
Hence, the force of impact during the collision would be 3000 Newtons (N). This calculation essentially applies Newton's second law to determine the net force acting on the car due to its acceleration towards the obstacle (in this case, a tree), providing a fundamental understanding of the dynamics involved in car crashes.
What is the most important safety rule to remember during lab activities? Wear gloves, goggles, and protective clothing. Follow your teacher's instructions and the textbook directions exactly. Read the entire procedure before beginning your experiment. Thoroughly wash your hands after every scientific activity.
Answer: Option (a) is the correct answer.
Explanation:
When we perform in a laboratory then it is necessary to follow the instructions of the teacher and safety measures thoroughly so that any accident will not lead to any type of serious injury.
But if sometimes the teacher in not around you while performing the experiment then the basic safety measure to be followed is to wear gloves, goggles, and protective clothing.
Therefore, we can conclude that the most important safety rule to remember during lab activities is wear gloves, goggles, and protective clothing.
how is high temperature achieved by concave mirror?
A concave mirror is used in the design of solar furnaces because they converge the parallel sunrays at a point. This helps to increase the temperature of the furnace.
Answer:
Because "a concave mirror converge the parallel sun rays at a point, so high temperature is achieved"
Example:
It is used in the design of solar furnaces, because they converge the parallel sun rays at a point. This helps to increase the temperature of the furnace.
When light passes straight through an object it is called
I believe the answer is transmission
When light passes straight through an object, it's called transmission. This occurs within the field of geometric optics, where light paths are modeled as straight lines or rays. These rays can change direction, or refract, when they interact with different materials.
Explanation:When light passes straight through an object, it is called transmission. This is a part of the field known as geometric optics, which describes the path of light using geometry and simple trigonometry. In this field, light is modelled as straight lines, also known as rays, which may change direction when they interact with objects or transition between different media, a phenomenon known as refraction.
The laws that govern these changes in direction are the law of reflection, where light bounces off an object, and the law of refraction, where light passes through an object.
Transmission, the process in which light travels without being absorbed or reflected, is fundamental in optics. You might visualize the path of light as observable in laser beams, which is especially clear in a straight, unobstructed path.
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At 16, Juana is at an appropriate weight and likes to eat whatever she wants to. What's the best strategy to ensure Juana's health? A. start paying attention to her diet so she won't gain weight later and walk once a day B. get in the habit of eating food high in nutrients and engage in regular physical activity C. reduce her calorie intake to 1,800 per day and take up an aerobic sport like soccer
B
Let me know if I'm correct
I'm pretty sure it's B
Name and briefly describe the two types of interference
The two types of wave interference are constructive and destructive.
These both describe what happens when waves combine
Constructive interference is when 2 waves combine to form a wave with a larger amplitude, but this is only if both waves are both positive or both negative.
Destructive interference is when the two waves are opposite, one is negative, one is positive. They subtract forming the combined wave that has a lower amplitude.
I hope that helps u out!! :)
What standard of measurement do most countries use and discuss why such a standard is beneficial
I mean i guess its the metric system?
The metric system (International System of Units, SI) is the standard of measurement used by most countries and the scientific community because it simplifies calculations, ensures accurate data comparison, and supports global collaboration in science.
Explanation:The standard of measurement most countries and the scientific community use is the metric system, also known as the International System of Units (SI system). Unlike the United States, which uses the Imperial system, the metric system is universally accepted in scientific reports and research due to its simplicity and global standardization. This system is especially crucial in sciences, as it provides a 'standard language of measurement' that ensures scientists worldwide are on the same page when it comes to analyzing data and conducting experiments.
The metric system's base-ten structure simplifies calculations and conversions, making it more efficient and easier to understand than the Imperial system.Standardized measurements allow for accurate comparison of experimental data across different laboratories globally.Adapting a universal standard like the SI system supports the exchange of scientific information and collaboration among researchers from various countries.In contexts ranging from gas pumps to scientific labs, standardized measurement ensures consistency, reliability, and global understanding. Changes in the definitions of standard units of measurement reflect the dynamic nature of science and the evolving technological landscape, necessitating periodic updates to maintain accuracy and relevance in scientific discoveries.
The widespread adoption of the metric system enhances global communication in science, thus accelerating technological advancements and scientific progress. This unified approach to measurement not only facilitates international trade and commerce but also supports educational and research endeavors by providing a consistent framework for learning and discovery.
Which of these is a risk associated with texting?
Can you provide the answers please :)
A 1 kg brick is dropped from a height of 10 m. Calculate the work that has been done on the brick between the moment it is released and the moment when it hits the ground. Neglect air resistance.
The work done on the brick during its fall is exactly the work that was done on it to lift it up to the height of 10m in the first place, AND it's the gravitational potential energy it has while it's up there.
Gravitational Potential Energy = (mass) x (gravity) x (height)
GPE of the brick = (1 kg) x (9.8 m/s²) x (10 m)
GPE = (1 x 9.8 x 10) (kg-m² /s²)
GPE = 98 Joules
From the time it drops off the 10m shelf until it hits the ground, 98 Joules of work is done on it.
What does the work ? Where does that energy come from ?
GRAVITY does the work on the brick !
Work can be defined as the transformation of energy released during the movement of an object when an external force is applied to the object.
The work done by the brick is 98 Joules.
How do you calculate the work done by the brick?Given that the mass m of the brick is 1 kg and it dropped from a height h of 10 m. In this case, gravitational acceleration will be 9.8 m/s. Now to calculate the work done by the brick, we apply the work-energy theorem.
The work-energy theorem states that the work done by all the forces on the object is equivalent to the total change in the kinetic energy during the movement.
Work done by the brick = Work done by gravity + Work done by air resistance
Apply that the air resistance is negligible then,
Work done by the brick = Work done by the gravity
Work Done = [tex]mgh[/tex]
Work = [tex]1\times 9.8\times 10[/tex]
Work = [tex]98 \;\rm J[/tex].
Hence we can conclude that the work done by the brick during the movement is 98 Joules.
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A cart has a mass of 2.0 Kg and moves at a constant speed of 4.0 m/s. What is the kinetic energy?
Answer:
The kinetic energy is 16 Joules.
Explanation:
Use the formula for the kinetic energy:
[tex]E_k=\frac{1}{2}mv^2 = \frac{1}{2}2.0kg\cdot 4.0^2 \frac{m^2}{s^2}=16J[/tex]
If an object doubles in mass, what happens to its momentum? Explain why.
Imagine a car traveling in a straight line with the cruise control engaged. This means that the vehicle is moving with a constant speed, more specifically, constant velocity (speed and direction). This situation can be equated to a falling object at terminal velocity, where the falling speed reaches its maximum point, CANNOT increase.
Considering the car traveling at cruise control described above, the forces are balanced and therefore the net force is zero.
After reading through all of the above, I don't find a question that needs to be answered.
But I just want to say:
Yep. Uh huh. Fer sher. You are true. Words of higher veracity are unlikely to be found. Every word of that scenario and its description is accurate, and cannot be debated or disputed in any wise.
What's more, I agree, and I thank you for the points.
Imagine That the tank is filled with water. The height of the liquid Collin is 7 m and the area is 1.5 m² what’s the force of gravity acting on the column of water
== The volume of water in the tank is (1.5 m²) x (7 m) = 10.5 m³ .
== The density of water is 1000 kg / m³ .
== The mass of water in the tank is (10.5 m³) x (1000 kg/m³) = 10,500 kg.
== The force of gravity is (mass?) x (gravity)
force = (10,500 kg) x (9.8 m/s²)
force = 102,900 Newtons
Answer: 102,900 N
I remember this question from one of my, test. Really hope this helps..
Is it possible for the gravitational force between two 50-kg objects to be less than the gravitational force between a 50 kg object and a 5 kg object? Explain.
The gravitational force between two objects depends on both their masses and the distance between them. It is possible for the gravitational force between two like masses to be less than that between unequal masses if the like masses are farther apart.
The question asks whether it's possible for the gravitational force between two 50-kg objects to be less than the gravitational force between a 50 kg object and a 5 kg object. The answer to this depends on the distance between the objects, because the gravitational force is directly proportional to the mass of the objects and inversely proportional to the square of the distance between them, according to Newton's Law of Universal Gravitation. So, if the distance between the two 50-kg objects is significantly larger than between the 50 kg and 5 kg objects, then the gravitational force between the 50-kg pair could indeed be less.
Newton's law of Universal Gravitation equation is:
F = G * (m1 * m2) / r²
Where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two masses.
Therefore, if the two 50-kg objects are far apart, the r value in the equation will be large, reducing the value of F, the gravitational force. Meanwhile, if the 50 kg and 5 kg objects are very close, the r value will be smaller, and the force F could be larger despite the smaller mass of one of the objects.
at what temperature (in K) will 1.0 mol of gas occupy 1.0 m3 at a pressure of 1.0 * 10^4 pa
ideal gas equation ...pv=nrT ... n=2 ... r is gas constant T=10^4x1/8.3
A car has a mass of 2,000kg and is traveling at 28 meters per second what is the car's kinetic energy
The K.E. of car will be "784000 J".
Given values are:
Mass,
2000 kgVelocity,
v = 28 m/s→ The Kinetic energy will be:
= [tex]\frac{1}{2} mv^2[/tex]
By putting the values, we get
= [tex]\frac{1}{2}\times 2000\times (28)^2[/tex]
= [tex]\frac{1}{2}\times 2000\times 784[/tex]
= [tex]2000\times 392[/tex]
= [tex]784000 \ J[/tex]
Thus the above answer is correct.
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The car's kinetic energy is calculated using the formula KE = (1/2)mv², yielding a result of 784,000 joules (J), with a mass of 2,000 kg and velocity of 28 m/s.
Explanation:To calculate the kinetic energy of a car, we can use the formula for kinetic energy (KE), which is KE = (1/2)mv², where m is mass and v is velocity. In this case, the mass (m) is 2,000 kg and the velocity (v) is 28 meters per second.
Now, let's plug in the values:
KE = (1/2) × 2000 kg × (28 m/s)²
KE = (1/2) × 2000 kg × 784 m²/s²
KE = 1000 kg × 784 m²/s²
KE = 784,000 kg·m²/s² = 784,000 J
Therefore, the car's kinetic energy is 784,000 joules (J).
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The Use of force to move an Object is called ?
Awnser: Work
Explanation:
work is the act of using force
According to Newton’s second law of motion when an object is acted on by an unbalanced force how will that object respond
according to newton's second law , the net force on an object is the product of mass and the acceleration of the object. The formula is given as
[tex]F_{net}[/tex] = m a
where m = mass of the object and a = acceleration of the object.
when an unbalanced force acts on an object , there is a net force acting on the object and hence the object accelerate as a result.
hence the object accelerate in the direction of net force.
Katlyn makes a gelatin dessert. She pours hot water into the flavored gelatin powder and stirs. What are the solute and solvent in this solution? A. Heat is the solute. Gelatin powder is the solvent. B. Gelatin powder is the solute. Heat is the solvent. C. Water is the solute. Gelatin powder is the solvent. D. Gelatin powder is the solute. Water is the solvent.
Katlyn pours hot water into the flavored gelatin powder and stirs.
Gelatin powder is the solute. Water is the solvent. (D)
The correct answer is D. Gelatin powder is the solute and water is the solvent in the gelatin dessert that Katlyn makes. Water is the component in the larger amount and is responsible for dissolving the gelatin powder.
When Katlyn makes a gelatin dessert, she is creating a solution by mixing two substances. In this context, the gelatin powder is the solute, which is the substance that gets dissolved, and the hot water is the solvent, which is the substance that does the dissolving. Therefore, the correct answer to the question is D. Gelatin powder is the solute. Water is the solvent.
Solvents are typically the component of a solution that is present in the larger amount and usually determines the phase (solid, liquid, or gas) of the solution. In Katlyn's case, the solvent - water - is a liquid, which then forms a gel upon cooling, as the dispersed gelatin molecules create a three-dimensional network in the cooled dessert.
When your engine is running, the battery is
Answer:
When the engine is running, the alternator keeps the battery charged and electrical system going. If the electrical system performs erratically battery will discharge.
One Newton is expressed in ?
Answer:
It is the SI unit of force.
Explanation:
The rate of change of momentum in the body is directly proportional to the force applied on the body. It is the second law of motion.
The mathematical form of Newton's second law is
F = m x a
where, m is the mass and a be the acceleration.
If a body of mass 1 kilogram having an acceleration of 1 m/s^2, it means the force applied on the body is 1 newton.
Liquid water first appears after _______ minutes? A) 1 B) 3 C) 16.5 D) 19
Answer B) 3
Explanation:
Dan bikes 10 km west and then bikes another 5 km west. What is dans velocity if it takes 45 minutes
Dan's velocity is calculated by dividing his total displacement of 15 km west by the total time of 45 minutes, which is equivalent to 0.75 hours, hence his velocity is 20 km/h west.
Explanation:The student asks about Dan's velocity after biking 10 km west and then another 5 km west in a total time of 45 minutes. To find the average velocity, we need to calculate the total displacement over the total time. Since Dan's travel direction is consistent (west), the total displacement is simply the sum of the two distances. So, his displacement is 10 km + 5 km = 15 km west. To get the velocity, we divide the displacement by the time in hours. First, we convert 45 minutes into hours by dividing by 60, which gives us 0.75 hours. Hence, Dan's velocity is 15 km / 0.75 h = 20 km/h west.
The pot shown in the picture is made of two different metals. Why is the handle made of a different metal than the rest of the pot? A) The handle needed to be made out of a material that would not melt. B) The metal that the pot is made out of is too weak to make the handle. C) It would have been too expensive to make the handle out of the same metal. D) The metal in the handle can absorb more energy without changing temperature as easily as the metal in the pot.
Generally the metal of container is made up of such material that it will absorb heat and distribute it on the surface so that the temperature can rise and it will help to cook the food
But the handle of the container is used to hold it and we need not its temperature to be vary high so the handle must be made up of different material which will not absorb too much heat and its temperature will not rise to high value so that we can hold it easily
so here most appropriate option is given as
D) The metal in the handle can absorb more energy without changing temperature as easily as the metal in the pot.
Answer:
D) The metal in the handle can absorb more energy without changing temperature as easily as the metal in the pot.
What determines the mass of an object
Answer:
Mass is a fundamental property of the object. The mass of an object is a measure of objects resistance to acceleration, sometime also called "Inertia".It is a numerical measure of its inertia. Mass measured by using balancehow do kinetic energy,gravitational potential energy and heat due to friction change as the marble rolls down the ramp