The hydraulic pressure on sample is [tex]3.35*10^{7} N/m^{2}[/tex].
What is hydraulic pressure?Hydraulic pressure is the force imparted per unit area of a liquid on the surfaces which it has contact.
The magnitude of force acting on the small cylinder is equal to [tex]F_{N}[/tex].
In static equilibrium, all the torques should add up to zero:[tex]F_{N}l - 270(2l)= 0\\F_{N} = 270(2)\\F_{N} = 540 N[/tex]
The pressure applied to the fluid (through the small cylinder):
[tex]P= \frac{540}{\pi (\frac{2*10^{-2} }{2} )^2}[/tex]
[tex]P = 1.71*10^{6} Pa[/tex]
The force of fluid on the large cylinder:
[tex]F= P\pi R^{3} \\F= 1.71*10^{6} \pi (0.05^{2} )\\F= 1.34*10^{4} N[/tex]
The pressure on the sample:
[tex]P_{S} =\frac{F}{A} \\P_{S}= \frac{1.34*10^{4} }{4*10^{-4} } \\P_{S}= 3.35*10^{7} N/m^{2}[/tex]
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1. How far from the home did Karen and her mother travel during the first hour of the trip?
2. Calculate the average speed of the car during the first hour of the trip.
3. How far did Karen and her mother travel during the second hour of the trip?
4. Calculate the average speed of the car during the first two hours of the trip.
5. Identify the time period(s) during the trip when the car was traveling at the greatest average speed.
6. Identify the time period(s) during the trip when the car was stopped.
7. Calculate the average speed of the car for the first three hours of the trip.
8. If Karen and her mother take three hours to come home, calculate the average speed of the car for the trip home.
You need to move a 105kg sofa to a diffrent room. It takes a force of 102 N to start it moving. What is the coefficient of static friction between sofa and carpet? ...?
describe how Archimedes pronciple applies to buoyancy
why does a heating element get hot upon passing current through it? ...?
If energy efficiency is improved, the cost of energy would decrease and _____. more coal would be available less electricity would be used homes would cost significantly less energy star appliances would no longer be necessary
Answer:
less energy would need to be generated.
Explanation:
What is efficiency?
Energy efficiency just means that you need less energy for the same consumption or demand.
In distribution and transportation of energy we lose some of the energy generated at the power plants, be it in the form of heat radiation because of the resistance of power cables or in the form of electromagnetic radiation, so if we improve efficiency, then less energy is lost in those two ways to power the same demand. Putting it simply, let's say your house demands 10kW, and the cable connecting you with the utility loses 1kW, then:
1kW+10kW = 11kW <- That needs to be generated
But if we improve that efficiency by 50% then the loses are cut by half, 1kW/2=0.5kW, so:
0.5kW+10kW = 10.5 kW <- 0.5 kW less that need to be generated. Multiply that by the number of homes in America for example and you have tremendous power-saving potential
A mover uses a ramp to push a stereo into the van. The ramp is 3 meters long and 1.5 meters high. What is the ideal mechanical advantage of this ramp?
What happens when two objects made out of diffferent materials are rubbed together?
To describe velocity, you need to know ____. (1 point)
speed and direction
speed and time
direction and acceleration
speed and acceleration
To describe velocity, you need to know speed and direction. Option (a) is correct.
You need to understand direction and speed in order to define velocity. The magnitude (speed) and direction of an object's motion are both included in the vector variable known as velocity. An object's speed is represented by the speed component and its direction by the direction component. Therefore, both speed and direction must be taken into account in order to adequately represent velocity.
Speed (how quickly an object is traveling) and direction (the path it is taking) are two essential components of velocity. These two elements work together to provide a precise description of an object's velocity.
Hence, To describe velocity, you need to know speed and direction. Option (a) is correct.
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A package of supplies is to be dropped from an airplane so that it hits the ground at a designated spot near some campers. The airplane, moving horizontally at a constant velocity of 140 km/hr, approaches the spot at an altitude of 0.5 km above level ground. Having the designated point in sight, the pilot prepares to drop the package. How far horizontally from the drop point should the pilot release the package? What is the location of the plane when the package hits the ground?
Answer:
392.8 m
Explanation:
Horizontal velocity is 38.89 m/s
Vertical distance y =0.5 km = 500 m
First calculate the time in which the package will hit the ground.
Use the second equation of motion
[tex]y = u t + 0.5 at^2[/tex]
[tex]500 = 0 + 0.5 (9.8) t^2[/tex]
t =10.1 s
Horizontal distance covered in the same time is
x = ut = (38.89) (10.1) = 392.8 m
The plane will cover the same horizontal distance in the time in which the package hits the ground.
As a certain object falls, its position s (in meters) above ground after t seconds is given by s(t)=20-5t^2. Whats the average velocity of the object on the interval from t=1 to the time .5 seconds later?? from t=1 to the time .1 seconds later?
Let ρAl represent the density of aluminum and ρFe that of iron. Find the radius of a solid aluminum sphere that balances a solid iron sphere of radius rFe on an equal-arm balance. (Use r_F for r Fe, rho_A for ρAl, and rho_F for ρ as necessary.)
Answer:
r = [3 * (pAl/MAl)]/(4 * pi)]^1/3
r = [3 * (pFe / MFe)]/(4 * pi)]^1/3
Explanation:
In the equilibrium state, aluminum and iron have the same mass. From the density equation and solving for the mass we have:
Mass = density/volume
MFe = pFe/V
MAl = pAl/V
In equilibrium, we have that MFe = MAl
Solving for the volume:
MFe = pFe/V
V = pFe/MFe
MAl = pAl/V
V = pAl/MAl
The equation for the volume of a sphere is equal to:
V = (4 * pi * r^3)/3
Replacing the volume of both iron and aluminum, we have:
V = (4 * pi * r^3)/3
r = [(3 * V)/(4 * pi)]^1/3
r = [3 * (pAl/MAl)]/(4 * pi)]^1/3
r = [3 * (pFe/MFe)]/(4 * pi)]^1/3
Only electrons orbit the nucleus of an atom true or false
The statement that only electrons orbit the nucleus of an atom is false.
Explanation:The statement that only electrons orbit the nucleus of an atom is false. In an atom, there are several subatomic particles, including protons and neutrons, that also make up the nucleus. Electrons, on the other hand, are found in energy levels or orbitals outside the nucleus. These energy levels determine the arrangement and behavior of electrons in an atom.
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Given the velocity v=ds/dt and initial position of a body moving along a coordinate line, find the body's position at time t. v = sin(pi(t)) s(-6)=0. ...?
A sled is pushed along an ice covered lake. It has some initial velocity before coming to rest in 15m. It took 23 seconds before the sled and rider came to a rest. If the rider and sled have a combined mass of 52.5 kg, what is the magnitude and direction of the stopping force? What do we call the stopping force?
A sled is pushed along an ice-covered lake. It has some initial velocity before coming to rest in 15m. It took 23 seconds before the sled and rider came to a rest. If the rider and sled have a combined mass of 52.5 kg, the magnitude, and direction of the force - 2.98 N which is called friction.
Given:
Time t = 15 s
distance d = 23 m
mass = 52.5
As we know the formula,
[tex]Solution:\\\\\\bar v = \frac{d}{t}\\\\ = \frac{15}{23}\\ \\ = 0.65 \ m/s\\\\According\ to\ the\ question,\\v_f =0\\then,\\2 \bar v = v_i\\2(0.65)=v_i\\v_i=1.3 \ m/s\\u = Initial\ velocity,\\v = Final\ Velocity,\\a = acceleration\\\\According\ to\ the\ second\ law\ of\ motion\\Force = m\times a\\ = (-.057)\times 52.5\\ = -2.97 \ N[/tex]
Thus, F is taken to be negative. So, the stopping force is -2.97 N and this force is the frictional force and its direction is opposite to that of motion.
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Divide 40 kg mass into 4 piece such that you can weigh from 1 to 40 kg from those 4 masses ...?
Explain Why must a cooling system do work to transfer thermal energy?
The smallest unit of an element that maintains the properties of that element is a (n)
an is_____ produced around a wire when electrical current is in the wire
in the movie The Martian why does Watney need to move away from the HAB?
While the movie The Martian portrays a strong windstorm forcing Mark Watney to move away from the HAB, in reality, Mars' thin atmosphere makes such forceful windstorms unlikely. Watney's movements away from the HAB are more a result of seeking survival solutions than escaping the aftermath of a storm. The movie creatively explores human survival and ingenuity on Mars, though it takes liberties with Martian atmospheric science.
Explanation:In the movie The Martian, the protagonist Mark Watney, played by Matt Damon, is stranded on Mars due to a strong windstorm that forces his crew to evacuate, thinking him dead. This premise raises intriguing questions about the possibility of such windstorms on Mars. Although the depiction of Mars in the film is largely accurate, astronomers have pointed out that the Martian atmosphere is too thin for windstorms to possess the force shown in the movie. Thus, the scenario dramatized in the film, including the necessity for Watney to move away from the HAB (Habitat Module), stems more from creative license than from scientific accuracy. However, this fictional setup serves as a backbone for exploring human ingenuity and survival in extraterrestrial environments.
Watney's decision to move away from the HAB at different points in the story is driven more by narrative needs and his strategies for survival, such as finding a way to communicate with Earth or traveling to the Ares 4 landing site, rather than by the windstorm's aftermath. The challenges Watney faces and overcomes highlight a powerful message about resilience and the capacity to innovate under dire circumstances.
two boxes sit on a frictionless surface and are in contact with one another. the first box has a mass of 7 kg and the second box has a mass of 8 kg. A 25 N force is applied to the 7 kg box. Find the acceleration of the boxes. find the force between the boxes
Final answer:
The acceleration of the two boxes on a frictionless surface is 1.67 m/s². The force between the two boxes, as calculated using Newton's second law of motion, is 13.36 N.
Explanation:
To find the acceleration of the two boxes on a frictionless surface that are in contact with each other, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass (F = ma).
The first box has a mass of 7 kg and the second box has a mass of 8 kg. The total mass of the system is therefore 7 kg + 8 kg = 15 kg. When a 25 N force is applied to the 7 kg box, and since there is no friction, this force is the net force acting on the system of both boxes.
The formula for acceleration is a = F/m, where F is the net force and m is the total mass. Substituting our values, we have a = 25 N / 15 kg, which gives an acceleration (a) of 1.67 m/s² (to two decimal places).
Now to find the force between the boxes, we consider that the same acceleration applies to both because they are in contact. The force that the 7 kg box exerts on the 8 kg box is equal to the mass of the 8 kg box times the acceleration. Using F = ma again, we get F = 8 kg x 1.67 m/s², which gives us a force (F) of approximately 13.36 N.
Which kind of force do you exert on an object when you pull it toward you?
A. Applied Force
B. Attractive Force
C. Drag Force
D. Normal Force
By definition we have to:
Applied force: It is the external force that acts directly on a body.
Therefore, we can say that if you have an object and push it towards yourself, you are exerting an external force on the object.
This external force was not acting on the object previously, therefore, it is a force that you are applying at that moment.
Answer:
you exert an Applied Force on an object when you pull it towards you
A. Applied Force
According to Newton's first law of motion, what is required to make an object at rest move?
Which of the following is an example of speed only?
A. 25 kilometers per hour (25 km/h)
B. 45 miles per hour to the east (45 mph to the east)
C. 60 meters per hour per second (60 m/h s)
...?
25 kilometers per hour (25 km/h) is an example of speed only.
Thus, Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
In other words, velocity is a vector, whereas speed is a scalar value. For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.
The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to go the distance, which is a pretty simple mathematical formula and speed.
Thus, 25 kilometers per hour (25 km/h) is an example of speed only.
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The formula K2S indicates that
Which electromagnetic wave has wavelengths just longer than visible light?
Answer:
Infrared waves
Explanation:
If electromagnetic waves are arranged in increasing order of wavelengths then the order is given as following
1. Gamma rays
2. X rays
3. Ultraviolet waves
4. Visible light
5. Infrared waves
6. micro waves
7. Radio waves
So here we can say that increasing the wavelength means the energy is decreasing as we move towards higher wavelength.
So from above order the larger wavelength with respect to the visible light is given as "Infrared waves"
When is thermal equilibrium achieved between two objects?
A.
when thermal energy is no longer transferred
B.
when one objects is hotter than the other
C.
when both objects have the same temperature
D.
when the particles in one object have more kinetic energy
Final answer:
Thermal equilibrium between two objects is achieved when they are at the same temperature, resulting in no net flow of thermal energy between them. This satisfies the conditions of the zeroth law of thermodynamics. So the correct option is C.
Explanation:
Thermal equilibrium is achieved between two objects when both objects have the same temperature, which corresponds to option C. At this point, no thermal energy is transferred between the objects because their molecules have the same average kinetic energy. This concept is rooted in the zeroth law of thermodynamics, which also suggests that if object A is in thermal equilibrium with object B, and object B with object C, then objects A and C are also in thermal equilibrium. Therefore, the net flow of heat ceases once the objects reach the same temperature.
Key Points:
Thermal equilibrium occurs when two bodies can exchange energy but do so without a net energy transfer.Heat is the transfer of energy caused by a temperature difference and stops when temperatures equalize.The zeroth law of thermodynamics justifies the concept of temperature and standard measurement tools like thermometers.The current in a wire is 0.72a calculate the charge that passes through the wire in 4s
The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car’s motion? A.It’s not moving. B. It’s moving at a constant speed. C.It’s moving at a constant velocity. D. It’s speeding up.
Answer;
A.It’s not moving.
Explanation;
Position-Time graphs display the motion of a object by showing the changes of velocity with respect to time.
The motion of a car on a position-time graph that is represented with a horizontal line indicates that the car has stopped moving.
A straight line with a positive slope indicates that the car is moving at a constant velocity, and thus the slope is constant. On the other hand, a curve with a changing slope, shows that the velocity is changing.
Actually it DOES mean that it is not moving. That other guy was right and you gave him 2 stars!
What is a circuit. .
A(n) 0.95-kg bucket is tied to a rope of negligible mass that is wrapped around a pole mounted horizontally on frictionless bearings. The cylindrical pole has a diameter of 0.340 m and a mass of 2.60 kg. When the bucket is released from rest, how long will it take to fall to the bottom of the 20.0 m well?