Input force = (Output force/Output area) × Input area
By Pascal Law,
Input force / input area = Output force / output area
By re-arranging,
Input force = (Output force/Output area) × Input area
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a sled of mass 2.49 kg has an initial speed of 4.53 m/s across a horizontal surface. the coefficient of kinetic friction between the sled and surface is 0.168. what is the speed of the sled after it has traveled a distance of 3.58 m?
The speed of the sled after it has travelled a distance 3.58 meter is 2.96m/s.
Mass of sled = 2.49kg
Initial speed across the horizontal surface = 4.53m/s
Coefficient of kinetic friction between the slate and surface = 0.168
Distance = 3.58m
Now to calculate the acceleration of sled we use :
F = ma
a = F/m
where
a = acceleration
m = mass
F = frictional force
a = μmg / m
a = μg
a = 0.168 x 9.8
a = 1.64m/s²
To calculate the speed of sled we use:
v² = u² - 2as
v² = (4.53)² - 2x 1.64 x 3.58
v² = 8.7785
v = 2.96m/s
The speed of the sled after it has travelled a distance 3.58 meter is 2.96m/s.
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A championship weight lifter did 11,000 J of work on a set of barbells weighing 3680 N. How much gravitational potential energy did the barbells have at the maximum height of the lift? (show the steps you followed to solve the problem - ie. the formula, calculations, and final answer)
The GPE that the barbells have at max height is ,
3680.h j=11,000 units
where h= maximum height the barbells were lifted
work done by the championship lifter ,W = 11,000 units
weight of the barbells, N = 3680 N
The gravitational potential energy, P.E., the barbells had at their maximum height of lift is given as follows;
P.E. = m × g × h
Where;
m = The mass of the barbells;
g = The acceleration due to gravity = 9.8 m/s^2
h = The maximum height to which the barbells are lifted
m × g = The weight of the barbells = 3680 N
∴ P.E. = 3680 N × h = 3680·h J
we know the law of conservation of energy, according to this the work done by the weight lifter is equals to the maximum gravitational potential energy gained by the barbell is equal to energy at maximium height i.e P.E
therefore, GPE = 3680.h j = W = 11,000j is your answer.
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A candle 3.0 cm high is placed 30 cm from a converging mirror with a focal length of 20 cm.
I hate to leave you without an answer, but there isn't enough information to be able to answer your problem.
the energy of a photon is 6.78 x 10-19 j. what is the wavelength of the radiation? 3.41 x 106 m incorrect response 3.26 x 10-24 m correct answer 2.93 x 10-7 m 3.41 x 10-3 m
The wavelength of the radiation is 2.93×10⁻⁷ m
Given,
The energy of photon E=6.78×10⁻¹⁹
now, E=hc/λ
λ=hc/E
=6.626×10⁻³⁴×3×10⁸/6.78×10⁻¹⁹
=2.93×10⁻⁷ m
Radiation is the emission or transmission of energy through a material medium or across space in the form of waves or particles.
According to the energy of the radiated particles, radiation is frequently classified as either ionizing or non-ionizing. Ionizing radiation has an energy level of more than 10 eV, which is sufficient to ionize atoms and molecules as well as rupture chemical bonds. Due to the significant difference in how destructive it is to living things, this is a crucial distinction. Ionizing radiation is frequently produced by radioactive substances that release radiation in the form of helium nuclei, electrons or positrons, or photons, respectively.
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what are two of the three scales discussed in the text that we can use to measure the power/magnitude of an earthquake?
It is accurate to say that the Mercalli, Richter, and magnitude scales are the three main scales used to measure earthquakes. These three scales were used to gauge the earthquake's seismic waves.
The Mercalli intensity scale rates the power of an earthquake. The largest shock of energy from an earthquake is measured on the Richter scale. The preferred method for calculating earthquake magnitudes is the moment magnitude scale.The moment magnitude scale, which measures magnitude (M), or size, and the Modified Mercalli scale, which measures intensity, are the two scales that are most frequently used in the United States today.Seismometer data can be used to estimate an earthquake's timing, position, and magnitude. Seismometers capture the earth's internal vibrations caused by earthquakes. Every seismometer captures the earth movement right beneath it.To know more about Richter
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in our study of magnetism we learned that an energized conductor will build a magnetic field around it, is this field the same with both ac and dc circuits?
we learned that an energized conductor will build a magnetic field around it.this field is not same with both ac and dc circuits
what is magnetic field?A magnetic field is an invisible field that exerts a magnetic force on substances that are sensitive to magnetism. A classic example of one is the field created by an iron magnet; to see how the energy in such a field works, a small magnet can be placed under a piece of paper and iron filings sprinkled on it.
This important relationship between electricity and magnetism is known as electromagnetism, or the magnetic effect of current.
When DC current flows, the magnetic field will act in one direction.
when AC current flow will produce a magnetic field that varies in direction with the direction of the electron current flow.
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ima rilla saari rushes to her car in order to hurry home and get dressed for work. failing to realize the dangers of driving under slick and icy conditions, she collides her 940-kg mazda miata into the rear of a 2460-kg pick-up truck which was at rest at the light on lake avenue. ima's pre-collision speed was 12.5 m/s. determine the post-collision speed of the two entangled cars as they slide across the ice.
The two intertwined autos are sliding on the ice at a 3.46 m/s post-collision speed.
What is conservation of momentum?The principle of momentum conservation argues that within a given problem domain, momentum is never created nor destroyed but only modified by the action of forces as they are represented by Newton's laws of motion.
According to the rule of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
The speed of the Mazda before the accident multiplied by the mass of the Mazda must match the speed after the collision multiplied by the mass of both cars, according to the property of conservation of momentum:
m1v1 = m1 + m2 *v2
940*12.5 = 940 +2460 *v2
v2 = 3.46 m/s
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What are the forces applied?
The forces applied on the bucket are tension and gravitational.
What is the gravitational force?
According to Newton’s gravitational law, it is the force exerted due to attraction between two objects that is directly proportional to the product of their masses and is inversely proportional to the square of distance between them.
The force applied to the bucket containing water is gravitational force. The gravitational force acts in downward direction and there is no change in the state of motion. There is another force as well which is the muscular force by which we hold the bucket in the upward direction with the help of our muscles. Tension is also exerted on the bucket as this force is seen in existence when any object is being pulled up with the help of string or rope. It is always seen in the direction which is parallel to the rope.
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a ray of green light travels through air and is refracted as it enters a glass prism shown in the figure. an unknown liquid is in contact with the right side of the prism. the light then follows the path shown. which one of the following statements concerning this situation is true? a) the frequency of the light changes inside the prism. b) the index of refraction of the glass is smaller than that of air. c) the index of refraction of the unknown liquid is the same as that of the glass. d) the speed of light is larger in the liquid than in the glass. e) the refractive index of the liquid is the same as that of air.
Option C, Since there is no refraction and light travels in almost the same direction in both the glass as well as the unknown liquid, their indexes of refraction are identical.
Moving from the atmosphere to the glass causes the light to slow down. A prism's angle is 60 degrees, and its green light refractive index is 1.5.
The many media, or matter particles, through which light passes were used to gauge both its speed and how it appears to the human eye. To discern the different light wavelengths, the speed should slow down when the white light is revealed via the prism.
The following formula is used to get the refractive index:
n₁ sinθ₁ = n₂sinθ₂
where n₁ and n₂ represent the observed difference and represent the diffraction pattern between two liquids.
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Find the direction of the sum of
these two vectors:
B 3.14 m 2.71 m 30.0°
-60.0°A direction (deg)
The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.
Both the vectors are making angle in a way that it will add up to 90° , hence a right angles triangle will be formed .
using Pythagoras theorem
[tex]H^{2} = P^{2} + B^{2}[/tex]
sum of vector = [tex]H^{2} = P^{2} + B^{2}[/tex]
H = [tex]\sqrt{P^{2} + B^{2} }[/tex]
= [tex]\sqrt{3.14^{2} + 2.71^{2} }[/tex]
= 4.15 m
let theta is the angle along the base vector 2
tan (theta ) = P/B = 3.14 / 2.71 = 1.16 °
theta = [tex]tan^{-1}[/tex] ( 1.16 )
≈ 50°
hence , The magnitude and direction of the sum of vectors will be 4.15 m aligned in 50° in north west direction.
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An 0.8 kg cart rolls down a frictionless hill of height 0.32m. At the bottom of the holl the cart rolls on a flat surface., which exerts a frictional force if 2 n on the cart. How far does the cart roll on the flat surface before it comes to a stop
The distance travelled by the cart on the flat surface before it comes to a stop is 1.25 m.
What is the acceleration of the cart?
The acceleration of the cart is determined by applying Newton's second law of motion as shown below.
F = ma
a = F/m
a = 2 N / 0.8 kg
a = 2.5 m/s²
The velocity of the cart at the bottom of the hill is calculated as;
u = √2gh
u = √(2 x 9.8 x 0.32)
u = 2.5 m/s
The distance travelled by the cart before stopping;
v² = u² - 2as
where;
v is the final velocity of the cart = 0u is the initial velocity = 2.5 m/sa is the accelerations is the distance travelled2as = u²
s = u²/2a
s = (2.5²) / (2 x 2.5)
s = 1.25 m
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What is the term of a Living to Serve project? four years one year six months one month
Answer:
six months
Explanation:
Trust me on this i just answer it yesterday
What is the phase angle between the voltages of the inductor and capacitor in a rlc series circuit?.
The phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.
RLC circuit contains resistor , capacitor and inductor. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.
Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an LCR circuit.
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which is a way to exactly double the illuminance on an object? question 2 options: double the distance of the light source. quadruple the distance of the light source. double the luminous flux of the light source. cut the distance from the light source in half.
double the luminous flux of the light source is a way to exactly double the illuminance on an object.
The electromagnetic radiation that the human eye perceives as light, or visible light, is found in the region of the electromagnetic spectrum. Typically, visible light is characterized as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which are intermediate between the infrared and ultraviolet (with longer wavelengths) (with shorter wavelengths).
The term "light" can be used more generally in physics to refer to electromagnetic radiation of any wavelength, whether or not it is visible.
This makes gamma rays, X-rays, microwaves, and radio waves also constitute light. Intensity, the direction of propagation, frequency or wavelength spectrum, and polarization make up the fundamental characteristics of light. One of the basic constants of nature is its speed in a vacuum, 299 792 458 meters per second (m/s).
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How does the kinetic theory explain the following? (a) A gas exerts a pressure on its container walls. (3marks)
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A dog pulls on a pillow with a force of 5.6 N at an angle of 39 degrees above the horizontal. Assume the x-axis of a reference frame is along the horizontal and the y-axis is along the vertical. Find the x and y components of the force.
1. The x component of the force is 4.4 N
2. The y component of the force is 3.5 N
How do I determine the components of the force?The following data were obtained from the question:
Force applied (F) = 5.6 NAngle (θ) = 39 degreesx component =?y component =?1. How to determine the x component
Force applied (F) = 5.6 NAngle (θ) = 39 degreesx component =?x component = FCosθ
x component = 5.6 × Cos 39
x component = 4.4 N
2. How to determine the y component
Force applied (F) = 5.6 NAngle (θ) = 39 degreesy component =?y component = FSineθ
y component = 5.6 × Sine 39
y component = 3.5 N
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a hockey puck of mass 150.0 g is sliding due east on a frictionless table with a speed of 10.0 m/s. suddenly, a constant force of magnitude 5.0 n and direction due north is applied to the puck for 1.5 s. find the momentum at the end of the 1.5s in component form.
The momentum at the end of the 1.5s in component form a speed of 1.23 m/sec.
mgh=1/2mv²
v=√2gh
v=3.7 m/s
elastic collision
V=(m₁-m₂/m₁+m₂)v
=0.5-2.5/.5+2.5(3.7)
V₁=-2.47 m/sec
V₂=(2m₁/m₁+m₂)V
=2(0.5)/0.5+2.5
V₂=1.23 m/sec
In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity. The momentum of an object is determined by its mass (m) and its velocity (v). Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).
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AP physics 1: Extra points!!
The weight of box 2 and box 3 is 33.72N and 15.32N
According to Lami's Theorem, if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. The magnitudes of concurrent, coplanar, and non-collinear forces that keep an object in static equilibrium are all related to Lami's Theorem. This theorem also aids in the analysis of most mechanical and structural systems. For all three forces used in Lami's Theorem, the proportionality constant is the same.
Given box1 weighs 31N
Given two angles 63 and 24
So the third angle will be
180 – 87
= 93
By using Lamis theorem
T_2/(SIN 93)=T_3/(SIN (90+63))=T_1/(SIN (90+24))
Here T1 = 31N
Weight of box 2 = w2 = 31/cos24 x sin 93
= 33.72
Weight of box 3 = w3 = 31/cos24 x cos 63
= 15.32
Therefore the weight of box 2 and box 3 is 33.72N and 15.32N
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facts about the immune system
The immune system is a complex network of organs, cells, and proteins that protect the body's own cells while defending it against infection.
The immune system keeps a record of every germ (microbe) it has ever defeated in order to quickly recognize and destroy the microbe if it re-enters the body.
The immune system, unlike the heart or the brain, does not have a centralized location in the body. Instead, immune system cells are produced in organs throughout the body, including the tonsils, lymph nodes, spleen, bone marrow, and adenoids.
Our immune system also weakens with age, as immune system tissues shrink and our white blood cell count and activity decrease.
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a parallel-plate capacitor with a dielectric inserted is connected to a battery and allowed to fully charge. a second identical capacitor but with a dielectric of only half the dielectric constant as the previous is connected to an identical battery and allowed to fully charge. how do the two capacitors compare in terms of capacitance, electric potential, charge stored, and energy stored? justify with reasoning.
The capacitance and electric potential of the two capacitors are identical.
The charge stored and energy stored are also identical, as are the two capacitors' dielectrics.
The reason for this is that both capacitors have the same area, which is equal to the product of their radii multiplied by the distance between them. The two capacitors also have the same charge per unit area. So when you divide one by the other, you get a ratio of 1:1. This means that regardless of which capacitor you choose, it will store an equal amount of energy.
Additionally, if you choose to measure your capacitance by dividing your electric potential by your charge per unit area, then again, both capacitors will have identical values for this metric as well.
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all of the following statements are correct except group of answer choices resistance tests may not reflect the actual performance conditions of an ignition coil. current ramping can be used to test for current limits and charging rise time of the ignition circuit. testing an ignition coil for resistance will always indicate its condition. a digital storage oscilloscope is used to perform current ramping tests.
Given statements are correct according to ignition coil resistance.
Resistance testing could not accurately represent how an ignition coil performs in practice. Testing the current limits and charging rise time of the ignition circuit can be done using current ramping. A coil's state may always be determined by measuring the resistance of the coil. Testing of current ramping is done using a digital storage oscilloscope.
What is ignition coil resistance?Although most ignition coils' primary resistance should range from 0.4 to 2 ohms, you should check the manufacturer's specifications for the exact value. If the reading is zero, the ignition coil needs to be changed since the primary windings have internally shorted.
The resistance of an ignition coil can always be used to assess its condition.
The actual operating conditions of an ignition coil might not be captured by a resistance test.
Current ramping can be used to test the current limitations and charging rise time of the ignition circuit.
A digital storage oscilloscope is used for the ramping tests that are currently being done.
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If a roller coaster car increased its mass to twice its original value, then by what factor would its kinetic energy change? the roller coaster car's kinetic energy would?
The object's kinetic energy is proportional to its mass.
By doubling the mass kinetic energy the roller coaster car's kinetic energy is also doubled.
What is meant by kinetic energy?In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a given velocity. Unless the body's speed changes, it retains its kinetic energy after gaining it during acceleration. The body does the same amount of work when slowing down from its current speed to rest. Formally, kinetic energy is any term in a system's Lagrangian that includes a time derivative.
Gottfried Leibniz and Johann Bernoulli established the principle in classical mechanics that by describing kinetic energy as the living force, vis viva. The Netherlands' Willem's Gravesande provided experimental evidence of this relationship.
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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
When light passes through the first filter then it will also pass through the second filter. All of the light will pass through both filters.
Polarization:
Polarization is a property applied to transverse waves that specify the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular to the direction of motion of the wave.
When the axes of the first and second filters are aligned (parallel), then all of the polarized light passed by the first filter is also passed by the second. If the second polarizing filter is rotated, only the component of the light parallel to the second filter's axis is passed.
Therefore all the light will pass through both filters.
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a rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. how many seconds later does the rock hit the ground?
A rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. It will take 0.15 seconds to hit the rock ground
height = displacement = 1.20 m
initial speed = u = 7.54 m/s
final speed = v = 0
time = ?
Using kinematic equation
s = u*t + 1/2 * g * [tex]t^{2}[/tex]
1.20 = 7.54 t + 1/2 * 9.8 * [tex]t^{2}[/tex]
= 4.9 [tex]t^{2}[/tex] + 7.54 t - 1.20
t = 0.15 seconds
It will take 0.15 seconds to hit the rock ground
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true or false? - A ball is moving upwards and to the left. A net force that points upwards and to the left must be acting on the ball.
Answer:
false is the answer . in my point of view
A train is running smoothly along a curved track at the rate of 50 m/s. a passenger standing on a set of scales observes that his weight is 10% greater than when the train is at rest, the track is banked so that the force acting on the passenger is normal to the floor of the train. what is the radius of the curvature of the track?
By using components of the centripetal force, it can be calculated as Radius of the curvature of the track is 557.5 m
According to the centripetal force, the force is
[tex]F_{c} = \frac{mv^{2} }{r}[/tex]
where m is the mass of the object , v is the velocity and r is the radius of the curvature.
This Fc will have two components, FccosФ and FcsinФ.
FccosФ = mg
1.1 mgcosФ = mg
cosФ = [tex]\frac{1}{1.1}[/tex]
so, sinФ = 0.416
Now, FcsinФ = [tex]\frac{mv^{2} }{r}[/tex]
1.1mgsinФ = [tex]\frac{mv^{2} }{r}[/tex]
r = 557.478
r = 557.5 m
Hence the radius of the curvature is 557.5 m.
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Physical science please help me I really need help I’m begging
a cylinder and a hoop have the same mass and radius. they are released at the same time and roll down a ramp without slipping. 1)which one reaches the bottom first?
The cylinder will reach the bottom first.
How to Calculating the acceleration?In this case, the body acceleration should be applied to the incline.
Therefore, the equation listed below should be utilized.
gsin / (1 + k2 / r2) = a
Here
K is the gyrating radius.
r is the radius, and
Now
in hoop
k = r
gsin / (1 + r2 / r2) equals a.
= g / 2 x sinθ
0.5 gsinθ
as cylinder
k² = r² /2
A is equal to gsin / (1 + r2 /2 r2).
= 2 / 3 g sinθ
= .67 g sinθ
We can observe that the cylinder is more responsible for the acceleration.
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3 points
A net force of 9,079 N is applied to a car having a mass of 1,447 kg. Find the acceleration of the car.
Type your answer...
Previous
Answer:
a = 6.27 m/s² - acceleration
Explanation:
Given:
F = 9 079 N
m = 1 447 kg
_________
a - ?
Acceleration:
a = F / m
a = 9 079 / 1 447 ≈ 6.27 m/s²
a 3 kg sphere moving at 30 m/s makes a perfectly inelastic collision with a second sphere of 6 kg that is at rest. (a) what is the velocity of the spheres after the collision? (b) how much kinetic energy is lost in the collision?
The energy an object has as a result of motion is known as kinetic energy.A force must be applied to an object in order to accelerate
How much kinetic energy is lost in the collision?Given,
m1 = 3 kg
Mass, = 3kg
Speed, = 30 m/s
u2= 0
= 1 kg
Speed after collision = 6 m/s
Kinetic energy lost, K×E = ?
During collision, momentum is conserved.
Before collision, the kinetic energy is
KE =1/2(3)*(3)*(30)+1/2*1*(0)²
KE=1/2*4*25+0
By plugging in the values we get,
K×E = 50 J
Therefore, kinetic energy before collision is 50 J
Kinetic energy after collision:
KE =1/2(4+1)+KE
KE = 40J+KE
Since,
Initial Kinetic energy = Final kinetic energy
50J=40J+K*E
50 J = 40 J + K×E(lost)
K×E(lost) = 50 J - 40 J
K×E(lost) = 10 J
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