The force vector that has a magnitude of 588 newtons and points at an angle of 37 has the followings components:
v(x) =469.59 Nv(y) = 353.86 NWhat is a vector?It can be said to be a straight line described by a point (a) and (b) that has direction and sense.
To solve this exercise the formulas and procedures we will use are:
v(x) = v * cosine (angle)v(y) = v * sine (angle).Where:
v= magnitude of the vectorv(x) = component of the vector on the (x) axisv(y) = component of the vector on the (y) axisInformation about the problem:
angle = 37ºv = 588 Nv(x)= ?v(y)= ?Applying the formula of the component of the vector in the (x) axis we have:
v(x) = 588 N * cosine (37º)
v(x) =469.59 N
Applying the formula of the component of the vector in the (y) axis we have:
v(y) = 588 N * sine (37º)
v(y) = 353.86 N
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a far-sighted student has a near point of 196 cm. calculate the focal length of the glasses needed so the near point will be normal (25 cm). neglect the space between the eyes and the eye-glasses.
The focal length of the glasses for a far-sighted student that has a near point of 196 cm would be 22.17
Lenses with a focal length defined as the distance between a lens's center and the point at which objects come into clear focus. A lens equation, also known as a lens formula, is an equation that links the focal length, image distance, and object distance of a spherical mirror. It is written as:
1/u + 1/v = 1/f
Where:
v = distance of the image from the lens
u = distance of the object from the lens
f = focal length of the lens
Thus, the focal length for a far-sighted student that has a near point of 196 cm would be:
(1/25) + (1/196) = 1/f
f = 4900/221
f = 22.17 cm
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a bicycle and a truck have the same momentum p. they experience the same stopping force f. which one stops first?
The answer depends on the amount of friction between the bicycle and the ground, and the amount of friction between the truck and the ground.
If the friction between the bicycle and the ground is greater than the friction between the truck and the ground, then the bicycle would stop first. On the other hand, if the friction between the truck and the ground is greater than the friction between the bicycle and the ground, then the truck would stop first. Additionally, the mass of the bicycle and truck would also play a role in which one stops first.
If the bicycle has a greater mass than the truck, for example, then the bicycle would take longer to stop due to its greater inertia. Therefore, the answer to which one stops first depends on many factors.
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true or false: the points where the potential is the same in three dimensional space lie ona. surface
True. The points where the potential is the same in three dimensional space lie on a surface known as an equipotential surface. This is a surface in which the electric potential is constant and equal to a specific value.
What is potential?Potential is the capacity to become or develop into something in the future. It is the ability to do something, or the likelihood of achieving a certain outcome. Potential is something that can be realized or achieved given the right circumstances, actions, or resources. It is the possibility of growth, success, or development. Potential is the latent capacity for accomplishment that exists in any individual, group, or organization. Potential can also refer to the amount of energy that can be produced from a given source. Potential is the promise of something greater, yet to be achieved.
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A ball P of mass 0.25kg, loses one-third of its velocity when it makes a head-on-collision
with an identical ball Q at rest. After the collision, Q moves off with a speed of 2ms-¹ in
the original direction of P. calculate the initial velocity of P.
when a system of vessels of varying diameters is connected in parallel, what is the effect on the overall effective resistance?
Connecting a system of vessels with different diameters in parallel reduces the total effective resistance.
The resistance of a vessel depends on its diameter and length; as the diameter of the vessel increases, its resistance decreases. In parallel connections, blood flow is split between different vessels, with the largest vessels carrying the most blood flow and the smallest vessels less.
As a result, the overall resistance of the system decreases as the total cross-sectional area available for blood flow increases. This reduces the total effective resistance and reduces resistance to blood flow.
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a 1 kg mass on a spring object is pulled 0.25 m from its equilibrium position and released. what is the object’s maximum kinetic energy, if the spring constant, k = 32 n/m?
The maximum kinetic energy of the object of 1 kg attached to spring with spring constant k = 32 n/m is 1.085 J.
The formula to find energy is
E = 1/2 k x² = 1/2 × 32 × (0.25)² = 1/2 × 32 × 0.062 = 1.085 J
Kinetic energy is the energy that an object has as a result of motion. It is defined as the effort required to accelerate a mass determined body from rest to the indicated velocity.
The energy that an item or particle possesses as a result of its movement is known as kinetic energy. When an item undergoes work the transfer of energy by being subjected to a net force, it accelerates and consequently obtains kinetic energy.
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do you believe that conservation of energy holds in these three phenomena? another way to ask this: does the particular energy model you developed apply to all three cases? if yes, what does conservation of energy tell you about the final speeds of the three rocks?
Yes, conservation of energy holds in these three phenomena. The particular energy model you developed applies to all three cases, which means that the total energy of the system remains constant.
This means that the sum of the kinetic energies of the three rocks must remain the same. Conservation of energy is based on the principle of the conservation of energy, which states that energy can neither be created nor destroyed. Therefore, the total energy of the system must remain the same throughout the experiment, which means that the final speeds of the three rocks must be related to the initial speeds of the rocks.
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sir issac newton is know as one of the greatest scientists of all times. newton's work in physics, optics, calculus and astronomy shaped science for years to come. choose and explain one area of newton's research. discuss why it is was significant at the time and the effect it had on modern science. what if newton never came up with his discoveries, would modern science be different? how? list references.0
Sir Isaac Newton was one of the most influential scientists of all time. His work in physics, optics, calculus, and astronomy had a profound impact on the development of modern science.
One of Newton's most significant contributions was the development of calculus. Calculus allowed for the mathematical treatment of motion, which was essential for the development of Newtonian mechanics. Newton's calculus provided the mathematical groundwork for the development of modern physics, which relies heavily on mathematical models. Newton's calculus also allowed for the development of the mathematical tools necessary for understanding the motion of bodies in space, which is essential for the development of astronomy.
Without Newton's discoveries, modern science would be drastically different. The development of modern physics and astronomy would be severely hindered without the mathematical tools provided by calculus. Additionally, the development of mathematical models and the advancement of scientific understanding of the physical world would be significantly delayed.
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in a plot of v versus i, which resistor will give a straight line with the steeper slope, 200 ohms, or 500 ohms?
The resistor will give a straight line with the steeper slopes of both in a plot of v versus i
From Ohm's law, the resistance of a resistor is given as
R = V/I
Hence it is the slope of the V-I curve.
Components which show a straight line I-V graph are linear circuit elements. They are also sometimes called 'ohmic circuit elements'. This means that current is directly proportional to potential difference for that component. For circuits with stable resistances, the plot of current over voltage is linear (I=E/R). In circuits where resistance varies with changes in either voltage or current, the plot of current over voltage will be nonlinear (not a straight line).
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You are in a speedboat which has a top speed of 22 m/s. Suppose you travel west at this speed for 13.6 seconds, then turn north and reduce your speed to 15.8 m/s. After a certain time interval, the magnitude of your displacement of the boat is 325 m. What is the time you travel for the northerly part of the trip? The velocity of the boat relative to the shore?
If you are in a speedboat which has a top speed of 22 m/s. the time you travel for the northerly part of the trip is 20.6 s. The velocity of the boat relative to the shore is: 18.5m/s.
How to find the velocity?The time for the northerly part of the trip can be calculated by using the equation for displacement:
displacement = velocity * time
Rearranging for time:
time = displacement / velocity
Plugging in the given values:
time = 325 m / 15.8 m/s = 20.6 s
To find the velocity of the boat relative to the shore, we need to find the total displacement of the boat and divide it by the total time.
The displacement in the westward direction is 22 m/s * 13.6 s = 304.2 m
The total displacement is the sum of the displacement in the two directions, so:
displacement = 304.2 m + 325 m
displacement = 629.2 m
The total time is the sum of the times for the two parts of the trip, so:
time = 13.6 s + 20.5 s
time = 34.2 s
The velocity of the boat relative to the shore can be calculated as:
velocity = displacement / time
velocity = 629.2 m / 34.2s
velocity = 18.4 m/s
Therefore the time you travel for the northerly part of the trip is 20.6 s. The velocity of the boat relative to the shore is: 18.4m/s.
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what type of noise pollution escalated rapidly in the late 1990s
The type of noise pollution that escalated rapidly in the late 1990s was electronic noise pollution.
The late 1990s saw an alarming increase in electronic noise pollution, which is any unwanted or undesired sound caused by electronic devices and appliances. This type of noise pollution can range from the humming of air conditioning units to the buzzing of computer servers, and is one of the leading causes of environmental degradation.
As such, it is important for individuals, businesses, and government organizations to take proactive steps to reduce this type of noise pollution. By investing in sound-proofing measures and noise-canceling technology, we can ensure that our environment remains free of unwanted electronic noise pollution.
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if you dribble a basketball with a frequency of 1.9 hz , how long does it take for you to complete 16 dribbles?
It will take 8.42 seconds by the basketball to complete 16 dribbles.
Frequency is defined as the number of oscillation, cycles completed by the wave or any object in one second. If the object is exhibiting periodic motion. Its SI unit is hertz or sec⁻¹. In the question frequency is the number of time, the ball dribbles in one second.
The frequency of the dribble, n = 1.9 hz. It means ball dibbles 1.9 times in a second.
So time taken to complete 1 dribble, T = 1/1.9 = 0.526 sec
Total time taken to complete 16 dribbles, T₁₆ = 16 × 0.526
T₁₆ = 8.42 seconds
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a 15g bullet it shot into a stationary 3 kg block that is hanging on a 45cm wire. if the bullet is shot at 380m/s and gets embedded in the block, then how high does the block swing?
The block swings to a height of approximately 2894 m.
The momentum of the system of bullet and block before the collision is equal to the momentum of the system after the collision. So conservation of momentum can be used in solving this problem.
Before the collision, the momentum of the bullet is:
p_bullet = m_bullet * v = 15 g * 380 m/s = 5700 g * m/s
After the collision, the momentum of the bullet and the block is:
p_total = m_block * v_block = (3 kg) * v_block
where v_block is the velocity of the block after the collision.
Using the conservation of momentum equation, we can find the velocity of the block:
5700 g * m/s = (3 kg) * v_block
v_block = 5700 g * m/s / (3 kg) = 1900 m/s
Now, we can use this velocity to find the height that the block swings. The height of the block swings can be found using the following equation:
h = (v_[tex]block^2[/tex]) / (2 * g)
where g is the acceleration due to gravity (9.8 [tex]m/s^2[/tex]).
[tex]h = (1900 m/s)^2 / (2 * 9.8 m/s^2) = 56875 m^2 / (19.6 m/s^2)[/tex] = 2894 m
So, the block swings to a height of approximately 2894 m.
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Kentucky fried chicken is asked to measure the difference in electric potential at two different points on an electric circuit. Which measurement device
should he select?
OA. a flux capacitor
OB. a voltmeter
OC. an electrostatic field meter
COD. an ammeter
The measurement device that he should use is B. a voltmeter
What is a Voltmeter?A voltmeter is used for measuring the potential differences. A voltmeter is an instrument used for measuring the potential difference between two points in an electrical circuit.
Hence, it can be seen that because Kentucky fried chicken is asked to measure the difference in electric potential at two different points, they should make use of a voltmeter
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A block of mass 5 kg is lying bn a frictionless table. A force of 20 N is applied on it for 10 seconds. Calculate its kinetic energy.
Answer:
The amswer is 204.4 or 208.17
5
A 4-kg rifle fires a 0.01-kg bullet at a velocity of 300 m/s. If they
were both at rest before firing, what is the recoil velocity of the
rifle?
The recoil velocity of the rifle is -0.75 m/s.
What is recoil velocity of the rifle?
The recoil velocity of the rifle is calculated by applying principle of linear momentum as follows;
m₁u₁ + m₂u₂ = v₁m₁ + v₂m₂
where;
m₁ is the mass of the riflem₂ is the mass of the bulletu is their initial velocity v is their final velocity( 4 kg x 0 ) + ( 0.01 kg x 0 ) = 4v₁ + ( 0.01 kg x 300 m/s )
0 = 4v₁ + 3
v₁ = - 3 /4
v₁ = -0.75 m/s
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A flasher generates 60° regular flashes in one minutes. Calculate (i) period of the flashes (ii) frequency of the flashing
(i) period of the flashes is, 1/60 minute/flash
(ii) frequency of the flashing is, 60 Hertz
What is frequency ?The frequency of a repeated event is the number of occurrences per unit of time. The common unit of expression is Hertz (Hz), which stands for cycles per second. For instance, a wave has a frequency of 1 Hz if it completes one cycle in one second. A wave moves faster and completes more cycles in a given period of time as its frequency increases.
Given that,
A flasher generates 60° regular flashes in one minutes
(i) The period of the flashes is the time it takes for one complete cycle of the flashing, or the time between two consecutive flashes. In this case, the flasher generates 60 flashes in one minute, so the period of each flash is given by:
Period = 1 minute / 60 flashes
= 1/60 minute
= 1/60 minute/flash
(ii) The frequency of the flashing is the number of flashes that occur in one unit of time, typically measured in Hertz (Hz), where 1 Hz = 1 cycle per second. To convert the period to frequency, we simply take the reciprocal of the period:
Frequency = 1 / Period
= 1 / (1/60 minute/flash)
= 60 flashes/minute
= 60 Hz
So the frequency of the flashing is 60 Hertz.
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On an icy road, a 5000 kg truck rear-ends a 1200 kg car that had been traveling at 13 m/s, causing the truck to slow from 14 m/s to 12 m/s and the car to speed up. Compute for the final velocity of the car.
The end velocity of an object is equal to its initial velocity plus its acceleration multiplied by the period of travel, according to the formula used in this velocity calculator.
What is Final velocity?As long as three of the variables are known, this calculator can be used to determine initial velocity, ultimate velocity, acceleration, or time.
Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared.
When the body has achieved the maximum acceleration over a period of time, final velocity enters the picture. The acceleration is the difference between the object's initial and final velocities over time.
The end velocity of an object is equal to its initial velocity plus its acceleration multiplied by the period of travel, according to the formula used in this velocity calculator.
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a rock is dropped from a sea cliff and the sound of it striking the ocean is heard 4.0 s later. if the speed of sound is 340 m/s , how high is the cliff?
Speed: According to the problem the cliff is 680 m high
What is Speed?Speed is a measure of the rate at which an object or person moves. It is a scalar quantity, meaning it has only magnitude, not direction. Common units of speed include kilometres per hour (km/h), miles per hour (mph), metres per second (m/s), and feet per second (ft/s). Speed is related to velocity, which is a measure of the rate of change of an object's position. Speed is an important property of any moving object, and can be used to measure the motion of an object relative to another object.
The speed of sound is 340 m/s, which means that it takes 1 second for sound to travel 340 m. Since we know that the sound of the rock striking the ocean was heard 4.0 seconds after it was dropped, then the rock must have fallen for a distance of 4 times 340 m, or 1360 m.
To calculate the height of the cliff, we need to use the formula:
Height = Distance/2
Plugging in 1360 m for the distance, we get:
Height = 1360/2 = 680 m
Therefore, the cliff is 680 m high.
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According to Levins Morales, in "What Race Isn't: Teaching About Racism, when confronted with the reality that
race is not biologically real, does she find it problematic to respond "We're all human beings" why or why not? Is this
similar to stating "All Lives Matter"?
Answer: According to author bell hooks, in "What Race Isn't: Teaching About Racism," when confronted with the reality that race is not biologically real, it is problematic to respond "We're all human beings" because it obscures the ways in which race and racism are social constructs that impact people's lives. This response can be seen as similar to stating "All Lives Matter" because it ignores the systemic inequalities and racial injustices that some communities face. Both of these responses downplay the complexities and nuances of race and racism, and prioritize the idea of racial unity over acknowledging and addressing systemic inequalities and injustices.
What is the frequency of a red light in the air where its wavelength is 6.8x10^-7?
Answer:
below
Explanation:
speed of light = wavelength X Frequency
3 x 10^8 m/s = 6.8 x 10^-7 X f
frequency = 4.41 x 10^14 hz ( or 441 TERAHERTZ)
a uniform, rigid rod of mass m and length l is pivoted frictionlessly at its upper end. if the rod is dropped from an initially horizontal position, it swings freely through a vertical position, as shown in which of the four positions illustrated is the net torque about the pivot on the rod greatest, and in which of the four positions is it the least? select all that apply
A uniform rod is a linear object with a constant linear density whose centre of gravity is located at its midpoint. A uniform rod, as shown in the diagram above, would be perfectly balanced at its midpoint.
Define frictionless?
A Frictionless surface refers to that kind of surface where the force acting on any object which makes it difficult for the object to slide is almost zero or negligible, i.e., no resistance between surface or substance allowing the object to slide and move freely without any friction.Examples of frictionless payments use cases include: Mobile and digital wallets, no-contract card payments, in-app payments, auto-renewing subscriptions.Friction is essentially a force and, as such, we treat friction in the same way that we treat any other force. For a frictionless surface, objects just slide or accelerate at a value equal to the net force divided by the mass of the object.To learn more about frictionless refers to:
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the two blocks of masses m shown above initially travel at the same speed v but in opposite directions. momentum is conserved as they collide and stick together. how much mechcanical energy is lost to other forms of energy during the collision?
The energy lost to other forms like sound and heat, is mv². If the velocity of the blocks after collision is zero.
Mass of both the block, m₁ = m₂ = m
Velocity of both the block, v₁ = v₂ = v
Velocity after collision = 0
Combined mass after collision, = m+m = 2m
Initial energy of 1 block, = 0.5mv²
Initial energy of 2 block, = 0.5mv²
Total energy before collision = 0.5mv² + 0.5mv² = mv²
Energy after collision, = (2m)×0² = 0
So energy lost, = mv² - 0 = mv²
This energy converts into thermal energy, and sound energy.
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refer to table 2-7. assume that 2009 is the base year, with an index number = 100. what is the index number for the value of natural gas exports in 2013?
Option C is correct. The consumer price index is 100 in 2009, 109 in 2010, and 115 in 2011 if 2010 is the base year.
Divide nominal GDP by real GDP, multiply by 100 to express as an index number, and you get the implicit GDP deflator. services produced by an economy in a given year at current prices to that of prices prevailing at the time. A statistical tool for determining the amount of changes in a group of connected variables is an index number. It is derived from diverging ratios, from which it depicts the overall trend. It is a measurement of the typical shift between two different situations in a set of connected variables.
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How much energy is liberated when two moles of 126C atoms are formed from their individual protons, neutrons and electrons? Give your answer in TJ (terajoules), correct to two significant figures and without a unit.
About 3.2 TJ energy is liberated when two moles of 126C atoms are formed from their individual protons, neutrons and electrons.
The energy released when two moles of 126C atoms are formed from their individual protons, neutrons, and electrons can be calculated using the equation for nuclear binding energy:
[tex]B = Z * BE/A + (A - Z) * BE/A - m_n * c^2[/tex]
where Z is the number of protons, BE/A is the binding energy per nucleon, A is the total number of nucleons, m_n is the mass of a neutron, and c is the speed of light.
For carbon-12 (12C), the binding energy per nucleon is about 8.49 MeV, and for carbon-126 (126C), it's about 8.70 MeV.
The energy released when two moles of 126C atoms are formed can then be calculated as:
[tex]2 moles * Avogadro's number * 8.70 MeV = (2 * 6.022 * 10^23 atoms) * 8.70 MeV[/tex] = 3.2 TJ
This calculation gives an estimate of the amount of energy released when two moles of 126C atoms are formed from their individual protons, neutrons, and electrons. However, this is a simplified calculation, and there are many other factors that can affect the actual energy released, including the formation of intermediate isotopes and the production of gamma radiation and other particles.
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if all of the following objects are released from the same height, which object will hit the ground first? assume no air resistance. a
All of the objects will hit the ground at the same time, when released from the same height, if there is no air resistance.
The free fall velocity of the object is determined by the formula, v = √(2gh). Where g is acceleration due to gravity and h is the height of the freefall. We can see that downward velocity depends on the height which is same for every object. Also all objects fall under the same acceleration of gravity irrespective of their mass.
So if we neglect the air resistance which depends on the exposed surface area of object, then all the object will hit the ground at the same time.
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find the electric field of a long line charge at a radical distance where the potential is 24 v higher than at radial distance r1 = 3 m where e = 4 v/m.
The electric field of a long line charge at a radical distance is 29.55V/m
Any sort of charge causes an electric field to be associated to a location in space. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the magnitude and direction of the electric field.Knowing the value of the electric field at a certain area alone is sufficient to forecast what will happen to neighboring electric charges without any specific knowledge of what caused the field.
For Infinite length
Electric field = [tex]E=\frac{2K\lambda}{r}[/tex]
Where ,K=[tex]\frac{1}{4\pi \epsilon}[/tex]
[tex]\lambda[/tex]= charge per unit length
potential difference :
[tex]V_{2} -V_{1} =-{2K\lambda}ln\frac{r_{2} }{r_{1}}[/tex]
E = [tex]4(\frac{V}{M} )[/tex] = [tex]\frac{2K\lambda}{r_{1} }[/tex] at r=3
[tex]2K\lambda[/tex]=12V [tex]\rightarrow(1)[/tex]
[tex]V_{2} -V_{1} =-{2K\lambda}ln\frac{r_{2} }{r_{1}}[/tex]= -24
From (1)
24=-12[tex]ln\frac{r_{2} }{r_{1}}[/tex]
[tex]ln\frac{r_{2} }{r_{1}}[/tex]=-2
[tex]\frac{r_{2} }{r_{1}}[/tex]=[tex]e^-2[/tex]
[tex]r_{2} =r_{1}e^-2[/tex]
Electric field at [tex]r_{2}[/tex] = [tex]\frac{2K\lambda}{r_{2} }[/tex]
[tex]\frac{12}{r_{1}e^-2 } =\frac{12e^2}{3}[/tex]
E=[tex]4e^2[/tex]=29.55 V/m
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When a body is moving in physics because of a steady force and then the force stops having an effect on the body, what kind of movement does the body do? Does it move with a steady velocity?
When studying astronomy you cannot do experiments scientist make up Servatius and develop explanations to account for the observation here is a list of observation that astronomers make thousands of years ago?
A The ground that we are standing on does not appear to move.
B We see different starts in June and December.
C The Sun moves across the sky.
D Planets appear to wander across the sky.
E The star move together across the sky without wandering.
a. Write the letter of each observation that fits with a geocentric model of the universe.
(There may be more than one.)
b. Write the letter of each observation that fits with a heliocentric model of the universe.
(There may be more than one.)
c. Write the letter of the observation that is explained more simply by the heliocentric model than by geocentric model.
The fundamental concepts in physics, chemistry, and mathematics that are the foundation for more specific disciplines of study are gained through an understanding of astronomy.
What are astronomers researching?Including its planets, stars, galaxies, and black holes, astronomers research the universe's formation and structure.Astronomy aids us in researching ways to extend the survival of our species, which is a more important issue. In order to understand how the Sun affects weather, water levels, and other aspects of Earth's climate, for instance, it is important to conduct research.Science's study of the universe's celestial objects, including stars, comets, planets, and galaxies, is known as astronomy.The fundamental concepts in physics, chemistry, and mathematics that are the foundation for more specific disciplines of study are gained through an understanding of astronomy. A profession in science or engineering may also be possible after completing it.To learn more about astronomy refer to:
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explain how life changed with the invention of the light bulb, making electricity available to the masses.
The light bulb helped to establish social order after sundown, extended the workday well into the night, and allowed us to navigate and travel safely in the dark.
How life changed with the invention of the light bulb, making electricity available to the masses?
It promoted economic growth because it made it possible to light factories as well as homes more safely than kerosene lamps. The light bulb made the use of electricity popular and therefore electric generators [1881] were built and electric lines were strung in cities and towns.Invented in 1879, the incandescent light bulb became one of the biggest factor in revolutionizing people 's' lives. It gave people the power to control lighting inside their home, workplaces, and the streets with a flick of the switch. It illuminated the night; making a wide range of human activities possible.Electric light bulbs created the practice of shift work, increased worker efficiency, and allowed for greater productivity. They also improved working conditions, eliminated heat and pollution caused by gas lighting, and reduced fire hazards.To learn more about electricity refers to:
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