The minimum number of steps visible on the escalator at any given time is 150.
Let's assume that the escalator is moving upward at a constant rate, so that the distance traveled by al in one unit of time is equal to three times the distance traveled by bob in one unit of time, which means that al will take three times as many steps as bob does.
Let's say that al walks down 50 steps per unit time, and bob walks up 25 steps per unit time. We know from our earlier assumption about constant speed that al will take three times as many steps as bob does, so if al walks down 50 steps per unit time, then bob walks up 75 steps per unit time—but we also know that there are 150 total visible steps on the escalator at any given point in time.
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neptune's moon triton shows: neptune's moon triton shows: extensive cratering, consistent with a young surface. little cratering, telling nothing about the age of its surface. little cratering, consistent with a young surface. extensive cratering, consistent with an old surface. little cratering, consistent with an old surface.
e) little cratering, consistent with a young surface.
What are the features of NeptuneNeptune is a dark, cold, and windy planet.It is the final planet in our solar system. It is more than 30 times farther away from the sun than Earth. Neptune and Uranus are very similar. It is composed of a dense fog of water, ammonia, and methane that surrounds an Earth-sized solid center. It has a hydrogen, helium, and methane atmosphere. Neptune has the same blue color as Uranus due to methane. Neptune has six rings, but they are difficult to see.Neptune has fourteen moons.Neptune is the eighth and farthest-from-the-Sun planet. That means Uranus is Neptune's only planet neighbor.On Neptune, a day lasts 16 hours.Neptune's orbit around the Sun is so long that it takes 165 Earth years to complete one orbit.
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you need to design a 60.0-hz ac generator that has a maximum emf of 5145 v. the generator is to contain a 160-turn coil that has an area per turn of 0.94 m2. what should be the magnitude of the magnetic field in which the coil rotates?
The magnitude of the magnetic field that is required in which the coil should rotate in order to produced required EMF is 0.09T.
The EMF induced in a rotating coil is given by the relation,
E = NBA(2πf)
Where,
E is the EMF induced,
N is the number of turns,
B is the magnetic field,
A is the area of the coil,
f is the frequency of the generator.
The frequency is given to be 60Hz, the EMF induced is 5145V, the number of coils is 160 turns and the area of the coil is 0.94m², putting the values,
5145 = 160 x B x 0.94 x 2 x 3.14 x 60
B = 0.09 T.
So, the magnitude of the required magnetic field is 0.09T.
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how much tension must a rope withstand if it is used to accelerate a 1054 kg car horizontally along a frictionless surface at 1.23 m/s2?
The tension must a rope withstand is 1296.42N
Given- Mass m=1054 kg
acceleration= 1.23 m/s²
To find Tension generated .
Principle -Tension is the reaction of the action applied that means due to application of mass along with acceleration there is a urge towards earth and to substantiate it or to form a couple the reaction occurred is tension that equalises the role of force,
Mathematically , Force = ma ⇒Tension
F=T
T=ma
Calculations & Answer - T= 1054 x 1.23
= 1296.42N
Since T=F so unit of force and tension will be same.
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a 65 kg bungee jumper drops from a 60 ledge. the bungee cord has an unstretched length of 20 m, meaning that for the first 20 m the only force on the jumper is gravity. the bungee cord acts like a linear spring. the jumper comes to rest 0.5 m above the surface of the water. what is the stiffness constant of the cord?
To find the stiffness constant of the cord, learn gravity and force.
What is gravity?
By means of gravity, a planet or other body pulls objects toward its center. All the planets are maintained in their orbits around the sun by the force of gravity.
What is force?
An object with mass changes its velocity in response to a push or pull. Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.
Enot=Eat start= Ug =mgh
=(65kg)(10m/s²)(60m)
=39,000J
Eat lowest point =Usp+Ug
=1/2K(Δy²)+mgh
=1/2k(39.5m)² + (65kg)(10m/s²)(0.5m)
from conservation of energy, solve to get K= 49.6N/m.
Therefore, the energy function can be written ( for y<40).
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a boy pushes a wheelbarrow with a force of 36 n to the left. a frictional force of 13 n opposes the motion. the wheelbarrow and its contents have a mass of 37 kg. calculate the acceleration of the wheelbarrow:
The acceleration of the wheelbarrow is 0.621 m/s^2 .
There will be equal force applied on both side, in that case the object will be having zero motion and zero acceleration.
But in the case when there is more force applied in one direction than other side force then there will be acceleration on the object.
This acceleration is equal to the ΔF/m.
where ΔF is the difference of the forces applied on the both direction
and m is the total mass of the object.
According to the question, we have m = 37Kg
ΔF = (36-13) n = 23 n
so a = 23/37 = 0.621 m/s^2
so acceleration of the wheelbarrow is 0.621 m/s^2 .
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1) a magnetic field is not produced by a) stationary electric charge b) moving electric charge c) electric current d) an electromagnet e) current-carrying solenoid g
The magnetic field will not be produced by a) stationary electric charge
Any stationary charge in the system will not produce any magnetic field because it will not affect both the magnetic and electric fields. Thus it will not be able to produce any effect on the magnet. whereas in all other options like moving electric charge, electric current, electromagnet, current carrying solenoid, there will be the movement of the charges, which will produce the magnetic field because it will affect both the magnetic and electric field in the system and It will able to produce an effect on the magnet
Thus, the magnetic field is not produced in stationary electric charges.
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what property of a star can you deduce by observing spectroscopic binaries? eclipsing binaries? visual binaries?
A binary star system consists of two stars that are gravitationally sure and orbit each other. Binary stars in the night time sky appear as a single object to the bare eye, but telescopes frequently remedy them as separate stars.
A binary stars have orbit a common center of mass. The first one star is brighter of the two, and other is the fainter (classified as A and B, respectively).
Visual binaries : A visual binary system is a binary system in which each individual star in the system can be individually resolved with a telescope. Longitudinal observations can then be made to indicate the relative positions of the members of the system. Over time, this data is collected and used to calculate star orbits. Visual binaries tend to be systems that are relatively close to us, being able to resolve individual stars.
Eclipse Binary system : Photometry is used as a third technique for detecting binary structures. the obvious value of many stars changes regularly. this could be due to one of two elements. It can be a single star that has its inherent luminosity change. Such stars are called pulsating variables . the second alternative is that it's far a binary gadget with an orbital plane that is side-on to us, inflicting the issue stars to frequently eclipse each other. Such systems are referred to as eclipsing binary structures.
Spectroscopic binaries : A binary star having components that are not sufficiently separated to be resolved by a telescope, known to be a binary only bythe variations in wavelength of emitted light that are detected by a spectroscope.
Spectroscopic binaries are seen from their line spectrum, by means of following the Doppler shift .
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A spherical object has a certain density. If it is compressed under high pressure to half of its original diameter, its density will now be.
The following formula can be used to determine an object's density if it is spherical.
ρ = 3/4 x π x r³
Here, r denotes the spherical object's radius.
and is a constant in mathematics with the value 22/7.
Assume that the object's initial diameter is d.
As a result, it will have a radius of = d/2 = 0.50d.
Let's enter this value and calculate density as 1.
ρ₁ = 3/4 x π x (r)³
ρ₁ = 1/2 x 22/7 x (0.5d)³
The object is currently being compressed so that its diameter is reduced to a fourth of what it was.
The object's new diameter would be d/2 = 0.50d.
The new radius would be 0.50d/2 = 0.25d as a result.
Find the new density 2 now.
ρ₂ = 1/2 x 22/7 x (0.25d)³
Compare numbers 1 and 2 now.
3/4 x 22/7 x (0.25d)3 divided by 3/4 x 22/7 x (0.5d)3 equals 2/1.
1/2 and 22/7 can be canceled here.
ρ₂/ρ₁ = (0.25d)³ / (0.5d)³
d is terminated.
ρ₂/ρ₁ = 0.125
ρ₂ = 0.125 ρ₁
The original density is 1, and the revised density is 2.
Since its new density would be 0.125 times that of its original, we can conclude that.
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compared to the flow of water in streams, most ground water moves relatively slowly. group of answer choices true false
Most ground water will move rather slowly when compared to how fast water moves in streams.
The statement is true
Why does water movement matter?Water quantity both affect flow. It is significant because it affects the habitats of living things in the stream as well as the water quality. Small streams are less able to dilute and degrade contaminants than large, fast running rivers, which can receive pollution releases with little impact.
How do we define flow?To "flow" is to move in a stream, just like water. As air circulates, the word "flow" also signifies to move. Flow is a noun that refers to motion that resembles a stream. The noun and verb 'flow' can be used in a variety of various contexts. Something flows when it moves like a stream of water.
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when the displacement of a mass on a spring is 1/2 a , what percentage of the energy is kinetic energy?
The formula for total mechanical energy at maximum displacement (amplitude) is
ME = KE + PE = 0 plus (1/2)
*k*A^2 = (1/2)*k*A^2
Now, mechanical energy is constant during the displacement of a mass on a spring.
Now, when x equals A/2, or when displacement is equal to half of amplitude, then
PE = (1/4)*(1/2)*k*x2 = (1/4)*(1/2)*k*(A/2)*2
PE = (1/4)*ME
PE = ME - (1/4)*ME - KE = ME
KE = (3/4)*ME
KE/ME = 3/4 = 0.75
Part B.
When KE = PE, displacement is required.
If this event happens at 'x' displacement, then at this point we are aware that
ME = KE plus PE equals (1/2)*k*A2.
Because KE = PE
ME = PE + PE = (2*PE)*k*A2
PE = (1/4)*k*A^2
PE = (1/2)*k*x2 at x displacement, thus
(1/2)*k*x^2 = (1/4)*k*A^2
x^2 = (1/2)*A^2
(x/A)^2 = 1/2
sqrt(1/2) = 0.7071 for x/A
Using two reliable figures
x/A = 0.71
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based on the output, which is the best reason to use a power model to describe the relationship between the length and period of a pendulum? the standard deviation of the residuals is small.
The scatter plots of log (length) vs. log (time) have a linear relationship, while the residual plot lacks any discernible patterns.
What is power model equation?Learn to identify situations that can be described by power models, inverse power models, and quadratic models in the "Power Models" unit. You'll also learn to compare patterns in tables and graphs of models with the formulas y = ax2, y = ax3, y = a/x2, y = a/x3, and y = ax2 + bx + c.
They also start to grasp the concept of rate of change within the context of these models. Here, some specific abilities are developed, such as simplifying exponential and radical expressions and solving quadratic equations graphically. The terms and ideas of direct and inverse variation are also taught.
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general questions: in order to lift a bucket of concrete, you must pull up harder on the bucket than the bucket pulls down on you.
In order to lift a bucket of concrete, you must pull up harder on the bucket than the bucket pulls down on you this statement is true.
What is meant by newtons law?According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion in a straight line. Inertia is the propensity to resist changes in a condition of motion.
The motion of an item is related to the forces operating on it by Newton's equations of motion. According to the first law, until a force acts on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration.
Newton's first law states that unless a net external force acts on an object, it will either remain at rest or continue moving at a constant speed.
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1. Imagine you rubbed just one side of a thick piece of Styrofoam.
What do you think you would observe if you brought the rubbed side of the Styrofoam up to a neutral object?
2. What do you think you would observe if you brought the unrubbed side of the Styrofoam up to a neutral object?
The answers include the following:
The observation if you brought the rubbed side of the Styrofoam up to a neutral object is that the both of them will become negatively charged and repel.The observation if you brought the unrubbed side of the Styrofoam up to a neutral object is that they will be repulsion because it involves two neutral charges.What is Charge?Thus is referred to as the physical property of matter that causes it to experience a force when placed in an electromagnetic field. We should also note that like poles repel and unlike poles attract.
When the styrofoam is rubbed, it becomes negatively charged which when placed in contact with another neutral charge will result in the repulsion. In the case in which the unrubbed side of the styrofoam is placed near a neutral charge there will also be repulsion.
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according to karl popper, a discipline that claims to be a science is really a pseudoscience like astrology if it:
A scientific theory should make testable predictions and if those predictions are found to be incorrect the theory should be dismissed.
He argued that science advances best through the use of deductive reasoning, known as critical rationalism, as its primary emphasis. Popper coined the term critical rationalism to describe his philosophy. Popper rejected the empiricist view that basic statements are infallible.
Karl Popper was a scientific realist against his will. Despite his own limitations regarding the forms of acceptable scientific reasoning and the extent of empirical evidence, he advocated a very real conception of scientific goals and outcomes. A significant contribution stems from his rejection of induction in empirical science.
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a force of 1 newton will cause a mass of 1 kg to have an acceleration of 1 m/s2. if a force of 6 newtons is applied to a mass of 1 kg, what will be its acceleration?
Answer:
6 m/sec square
Explanation:
a horizontal force is applied to a glider moving along a horizontal air track bringing it to a stop in t seconds. if the same force is applied to a second glider with half the mass and four times the initial velocity, how long does it take for the glider to come to a stop?
The second glider will stop after it travels the distance of 8 times the distance of the first glider.
Let subscript 1 and 2 represent parameters related to glider 1 and glider 2.
According to the Newton's law:
F = m . a
Where:
F = force
m = mass
a = acceleration
Since both gliders received the same forces,
F₁ = F₂
m₁ . a₁ = m₂ . a₂
m₁ . a₁ = 1/2m₁ . a₂
a₂ = 2a₁
Hence, the acceleration of the 2nd glider is twice of that of the 1st glider.
Velocity formula for decelerated move
v² = u² - 2.a.s
Where:
v = final velocity
u = initial velocity
s = distance.
Since the gliders stop, v = 0
Hence,
u₁² = 2.a₁.s₁
u₂² = 2.a₂ . s₂
Substitute u₂ = 4u₁, a₂ = 2a₁
(4u₁)² = 2.(2a₁) . s₂
16 u₁² = 4 a₁ . s₂
16. (2.a₁.s₁) = 4 a₁ . s₂
s₂ = 8 s₁
Hence, the distance of glider 2 is 8 times the distance of glider 1
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a pitcher throws a baseball with a mass of 5.13 oz (0.145 kg) at a velocity of 95.0 mph (42.5 m/s). using the correct si units, calculate the kinetic energy of the baseball
The kinetic energy of the baseball thrown by the pitcher is 103.8 Joules.
Th kinetic energy of any moving body is given by,
K = 1/2mv²
Where,
K is the kinetic energy,
m is the mass of the body,
v is the speed of the body.
Here, the mass of the baseball is given to be 0.145 kg and the speed of the baseball is given to be 42.5 m/s.
Putting all the values accordingly,
K = 1/2(0.145)(42.5)²
K = 1/2 x 0.145 x 1806.25
K = 103.8 Joules.
So, the kinetic energy of the baseball is 103.8 Joules.
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the force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed. suppose that 640 pounds of force keeps a 2600-pound car from skidding on a curve of radius 650 at . what force would keep the same car from skidding on a curve of radius at ?
The force needed to keep a 2600-pound car from skidding on a curve of radius 650 at is 640 pounds.
The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed.
The same force would keep the same car from skidding on a curve of radius at , because:
1) The force is inversely proportional to radius. If one goes up, the other goes down.
2) The force is jointly proportional to weight and square speed. If one goes up, so does another; if one goes down, so does another.
3) 1600 pounds will keep a 2600-pound car from skidding on both curves--the force does not depend on which curve you're talking about!
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what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?
A proton will accelerate at 1.27 109 m/s2. The rate of a change in velocity is called acceleration.
A magnetic field is what?It is the kind of field that produces magnetic force. use a magnetic field to assist. The field that is sensed around a moving electric charge is how the magnetic force is measured.
The information provided in the issue is;
What is a proton's acceleration equal to?
The speed is 8.0 m/s, therefore v.
B = 1.8 T is the magnetic field.
The centripetal force and the megnetic force are equivalent;
qvB =m v/r
ac = 1.6 * 10 -18* 9.5* 1.8/1.67810-27
=1.27*10m/s
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a projectile is fired into a region of no air resistance the horizontal component of velocity remains constant because projectiles
A) is not acted on by any horizontal force
B) is affected by gravity
C) has no vertical component of velocity
A projectile is fired into a region of no air resistance the horizontal component of velocity remains constant because projectiles
A) is not acted on by any horizontal force
Velocity remain constant until unless any net external force acts on the object . While in a projectile motion , there is a gravitational force which act in downward direction . And there is no horizontal force , hence horizontal velocity remain unchanged . Velocity remains constant because projectiles
A) is not acted on by any horizontal force
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Julie finds a snail on the sidewalk and wants to know whether or not the snail moves throughout the day. She places a single mark on the sidewalk next to the snail.
Julie left a single mark on the sidewalk, and that mark has served as a starting point for me to track the snail's movement. Hence, option D is correct.
What is a snail?In broad terms, a snail is a shelled gastropod. The name is most commonly used in reference to land snails, that are pulmonate gastropod mollusks. However, the majority of the Gastropoda molluscan—which have coiled casings big enough for the animal to completely retract into—are also referred to as snails by their popular name. When used in this broad sense, the word "snail" refers to many different kinds of freshwater and marine snails, as well as land snails.
The distance traveled has been calculated using the reference point represented by the line that has been drawn across the sidewalk. So, choice D is the right one.
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Your question is incomplete, your question probably is :
Julie finds a snail on the sidewalk and wants to know whether or not the snail moves throughout the day. She places a
single mark on the sidewalk next to the snail.
What will Julie use the mark for initially?
determining how fast the snail moves
acting as a standard unit of measure
determining the displacement of the snail
O acting as a reference point for detecting motion
an electron traveling due north enters a region that contains a uniform magnetic field that points due east. in which direction will the electron be deflected?
An electron moving north will slow down and eventually reverse its direction if it enters an electric field that points north.
What is a uniform magnetic field?Parallel straight lines that are evenly spaced apart represent a homogenous magnetic field. The direction that a tiny magnet's north-seeking pole points indicates the flux direction. The flux lines form closed loops and are continuous.While the magnetic field around a bar magnet is not uniform, the lines of the Earth's magnetic field are uniform (parallel and equally spaced) (neither parallel nor equidistant).If the magnetic field's lines are parallel, the magnetic field's strength will be the same at every point, meaning the field's strength will remain constant. We are able to create a consistent magnetic field by creating a relatively long cylindrical coil.To learn more about uniform magnetic field refer to:
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why does the atmosphere of saturn appear to have only half the helium content of jupiter? why does the atmosphere of saturn appear to have only half the helium content of jupiter? much of saturn's helium has reacted with water and formed helium oxide. much of saturn's helium has differentiated towards its center. because saturn is so much colder, helium does not show up as strongly in its spectrum. a red dwarf, jupiter has fused some of its hydrogen into helium, whereas saturn, a colder planet, has not. saturn was formed farther from the helium rich sun.
The correct answer is option C.
The atmosphere of Saturn appear to have only half the helium content of Jupiter because Saturn is so much colder, helium does not show up as strongly in its spectrum.
The planet Saturn is a giant ball of gases including hydrogen, helium and methane. All these gases make up a thick atmosphere of the planet.
In general, the concentration of hydrogen is about 96.3%, helium 3.25% and methane 0.45%.
Clouds on Saturn are composed of ice crystals of ammonia and the temperature is around -400F which is much colder then Jupiter.
Thus, atmosphere of Saturn appear to have only half the helium content of Jupiter because Saturn is so much colder.
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a(n) 54.8 kg astronaut becomes separated from the shuttle, while on a space walk. she finds herself 45.3 m away from the shuttle and moving with zero speed relative to the shuttle. she has a(n) 0.767 kg camera in her hand and decides to get back to the shuttle by throwing the camera at a speed of 12 m/s in the direction away from the shuttle. how long will it take for her to reach the shuttle? answer in minutes.
The overall momentum of a system is constant.
Hence, The time taken to get to the shuttle is 4.49 min.
What is the conservation of momentum ?The conservation of linear momentum is a general law of physics which states that the overall momentum of a system is constant and that the quantity called momentum which characterizes motion never changes in an isolated collection of objects.according to the linear momentum conservation theorem, we have:
M1 V1 + M2 V2 =M1 V[tex]_0[/tex]1 + M2 V[tex]_0[/tex]2.
the initial velocity is Zero
then,
M1 V1 = - M2 V2
V1 = ( - M2 V2)/ M1
V1 = - [tex]\frac{0.767 *12}{54.8}[/tex] = - 0.168 m/s
That is 0.168 m/s in the opposite direction of the camera.
the time taken to get to the shuttle is given by:
t = d/v
t = [tex]\frac{45.3}{0.168}[/tex] = 269.64 s
[tex]t_{min} =\frac{269.64}{60}[/tex] = 4.49 min.
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an airplane weighing 5500 lb is flying straight and level at msl with a velocity of 220 mi/h. at this velocity the l/d ratio is a maximum. the wing area and aspect ratio are 200 ft2 and 8.5, respectively. the oswald efficiency factor is 0.93. calculate the total drag on the airplane.
The total drag on the airplane is 97.28
define velocity?
Velocity is the rate of change in position of an object in motion as measured by a certain time standard (e.g., 60 km/h northbound). Velocity is a key notion in kinematics, the branch of classical mechanics that studies body motion.
weight of plane=5500lb
velocity=220m/h
=200x88/60
=292
wing area= 200 ft^2
aspect ratio=8.5
oswald efficiency (E)=0.93
density of air = 1.225Kg/m^3
=0.002377
Drag= 0.5xpxvxAxcd
lift coefficient=0.245
drag coefficient= 0.0024
cd=0.0024+0.0024=0.0048
drag= 0.5x0.002377x(292x292)x200x0.0048
=0.0011885x(85264)x200x0.0048
=97.28 lb
therefore the total drag on the airplane was 97.28 lb
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suppose you exert a force of 165 n tangential to a 0.23- m-radius 73 kg grindstone (a solid disk). what is the angular acceleration (in si unit) if there is an opposing frictional force of 30 n exerted 0.16 m from the axis? enter only the number of your answer with 3 or more significant figures.
The angular acceleration (in si unit) if there is an opposing frictional force of 30 n exerted 0.16 m from the axis is 29.5 rad/s²
Torque , t = force × perpendicular radius= 165 × 0.23=37.95 Nm
moment of inertia of disk = 0.5MR²
T=I*∝
37.95=0.5×73×0.23∝
∝=29.56 rad/s²
Net torque Tn=37.95-30*0.016=37.4
Tn=0.3MR²∝
37.95=0.5×73×0.23∝
∝=29.5 rad/s²
The term "angular acceleration" also applies to the angular acceleration. It is a quantitative way of expressing how quickly angular velocity changes over time. The change in angular velocity that a spinning object experiences per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It is a vector quantity that has two distinct directions or senses as well as a component of magnitude. The angular acceleration, commonly denoted by the symbol and expressed in radians per second per second, is the time rate of change of the angular velocity.
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collecting the low frequency (high amplitude signal) data points in k-space at the start of the scan (in a rectilinear fashion) is known as
Collecting the low frequency data points in k-space at the start of the scan is known as centric.
What is k-space?k-space represents the spatial frequency information of an object in two or three dimensions. k-space is defined by the space covered by the phase- and frequency-encoded data. The relationship between k-space data and image data is the Fourier transform.
A wave is characterized by its wavelength (λ), the distance between two corresponding points or consecutive peaks. Wavenumber (k) is simply the reciprocal of wavelength and is given by the equation k = 1 / λ Therefore, the wavenumber (k) is the number of waves or cycles per unit path.
The amplitude of the frequency encoding gradient determines how much k-space is filled left to right or left to right. This determines the size of pixels in the frequency direction.
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A large block of stone is held at a height of 15meters having gained 4500 j of gpe. how much does it weigh?
The weight of the large block of stone is 300 Newton. The result is obtained by dividing the gravitational potential energy by the height.
What is gravitational potential energy (GPE)?Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. GPE can be expressed as
PE = mgh
Where
PE = gravitational potential energym = mass of an objectg = acceleration of gravityh = height of an objectGiven
h = 15 mPE = 4500 JHow much does it weight?
The weight of an object is the mass times the acceleration of gravity.
W = mg
So, with the GPE equation, the weight is
PE = mgh
PE = W × h
4500 = W × 15
W = 4500 ÷ 15
W = 300 Newton
Hence, the weight of the large block of stone is 300 Newton.
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In a classroom demonstration, a 79. 2-kg physics professor lies on a "bed of nails. " The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. What is the average force exerted by each nail on the professor's body?
Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back.
The Force of a Bed of NailsLying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back. According to physics, a force exerted downward will be dispersed across the nails, lowering the force that each nail applies individually. The force that each nail exerts decreases with the number of nails.
Given
m=79.2 kg The mass of the Physics Professor
n=1950
The Number of Nails in the Bed of Nails
Solving for the weight of the professor applied to the board of nails
W=mg
W=(79.2 kg)(9.8 ms2)
W=776.16N
Solving for the force applied by the individual nails.
Fn=Wn
Fn=776.16 N1950Fn=0.398
N Therefore each nail applies 0.398 N of force.
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the system produces 80,176 watts, what is the energy worth per day? assume electricity costs of $0.08 per kwh
Electricity costs of the system at $0.08 per kwh for a day is $153.9
What is power?Power refers to the rate of work. It is work done per unit of time. The SI unit for power is the watt (W), which is the joule per second (J/s).
Power = Work / time
P = W / t
One kilowatt hour is said to be one thousand watts sustained for one hour i.e. KWh = (Watts × Hours) ÷ 1,000
For the given case,
Power = 80,176 watts
Rate = $0.08 per kwh
kWh = (watts × hrs) ÷ 1,000
kWh = (80,176 × 24)
= 1924.224 kWh
Total cost of the day is = 1924.224 × 0.08
= $ 153.9
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