A plane wave's wave vector, also known as the k vector, is a vector that, at least in the case of isotropic optical material, points in the wave's direction of propagation. It always faces away from the wavefronts.
The x, y, and z-axes' respective vectors are three significant unit vectors that are frequently employed. The unit vectors in the x, y, and z axes are I j, and k respectively.
The unit vector in the x axis' direction is the unit vector. Three perpendicular axes will serve as the vector v's markers in the three-dimensional plane (x, y, z-axis). In mathematics, I stands in for the unit vector along the x-axis.
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What is Newton's 3rd law of motion give 2 examples?.
Newton's 3rd law states that for every action there will always be an equal and opposite reaction. 2 examples of newton's 3rd law are a) launching of a rocket, b) firing a bullet from the gun.
Newton's 3rd law states that for every action there will always be an equal reaction in the opposite direction. When a rocket is launched from the earth, it applies a force on the ground that generate the enough reaction force that causes the rocket to generate orbital velocity.
On the other hand, when a bullet is fired from a gun it applies a force on the gun, which generate a recoil velocity in the gun. The gun also applies equal reaction to the bullet. As the bullet mass is very less as compared to the gun, so the velocity generated in the bullet will be much higher than the recoil velocity.
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In studying motion, you need to account for how ______changes As____Passes
In studying motion, you need to account for how position changes changes as time passes.
The position of an object is usually described in terms of its distance from a reference point, and motion is the change in position over time. To study motion, you need to observe how an object's position changes as time passes, and use this information to describe and explain the motion. This is done by using different quantities such as distance, displacement, speed, velocity and acceleration, which allow to quantify and analyze the motion.
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What force will cause a displacement of 2m, while doing a work of 50J
Using the work done relation, the value of force is 25 Newton.
When a force is applied along a displacement, "work" in physics refers to the energy that is transported to or away from an object. The following situations include work: relocating a table. a door being pulled and pushed. Walking. raising a stone.
The work W that a force F traveling across a distance x exerts on an object is calculated using the formula W=Fs. If the object is moving in the opposite direction from how we expect it to, we add a minus sign.
Work done is equal to displacement times force.
50J = force × 2
f=50/2
Force = 25 Newton.
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A rock of ma m = 0. 52 kg i attached to a male tring of length L = 0. 79 m. The rock i wung in a vertical circle fater and fater up to a peed of v = 4. 8 m/, at which time the tring break. Thi occur when the tring i horizontal a hown in the figure A. What i the magnitude of the tenion, in newton, at which the tring break? and B. How high, in meter, doe the rock travel? Ue a value of h = 0 at the location of the break
A rock of ma m = 0. 52 kg i attached to a male string of length L = 0. 79 m, the magnitude of the tension at which the string breaks is 1576.2 N. The rock travels 227.3 m high after the string breaks.
a) To determine the magnitude of the tension at which the string breaks:
L = 0.79 m
v = 4.8 m/s
= 480 cm/s.
= 79 cm.
So,
F = (0.52 kg)(480 cm/s)²/(79 cm)
= 1576.2 N
b) To determine how high the rock travels after the string breaks, we need to use the conservation of energy principle:
KE = (1/2)(0.52 kg)(480 cm/s)²
= 117,964.8 J
KE = (1/2)mv²
= (1/2)T(L)
= (1/2)(1576.2 N)(79 cm)
= 62,360.1 J.
KE = PE
117,964.8 J = (0.52 kg)(9.81 m/s²)h
h = 227.3 m
Thus, the rock travels 227.3 m high after the string breaks.
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Is gravity always 9. 8 N?.
Yes, the gravity is always 9. 8 N. Every mass acts as a gravitational force or pull on every other mass. The mass of the objects in play determines how strong this pull is.
The moon orbits the Earth while the planets revolve around the sun thanks to gravity. Therefore, gravity is defined as, A body is drawn toward the center of the earth or any other mass-containing physical body by the force of gravity.
After learning what gravity is, explain how gravity is crucial to the continuation of life on Earth. The atmosphere is held in place and gives us the air we need to breathe to survive because of the gravitational attraction of the planet and the sun. Additionally, it shields us from the light.
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When a capacitor that operates at 1,000 volts or less is removed from an energized circuit, the charge on the capacitor shall be drained to ? or less within ?
When a capacitor that runs at 1,000 volts or less is disconnected from an active circuit, the charge must be reduced within a reasonable amount of time to a safe level or less.
What will happen if a capacitor is completely drained?The safe level of charge for a capacitor that operates at 1,000 volts or less is typically considered to be below 50 volts.The appropriate time frame for draining the charge on a capacitor depends on the specific application and the safety regulations that apply to it.The National Electric Code (NEC) in US and other international standards have different regulations for safe handling of capacitors and the time frame for discharging the capacitors.It is important to consult the appropriate safety regulations and guidelines for the specific application in order to determine the correct time frame for draining the charge on a capacitor.It's also important to use the right tools and equipment to discharge the capacitors safely, such as using a discharge wand, bleeder resistors and etc.To summarize, when a capacitor that operates at 1,000 volts or less is removed from an energized circuit, the charge on the capacitor shall be drained to a safe level (generally less than 50 Volts) within an appropriate time frame, in compliance with the safety regulations.To learn more about capacitor refer:
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Calculate the standard uncertainty for the Young's modulus,
in units kN/m2
To calculate the standard uncertainty of the Young's modulus, in units kN/m2, you need to use the formula for the standard deviation of a sample, which is the square root of the variance.
The variance is calculated by taking the sum of the squared differences between each value and the mean, and then dividing by the number of values in the sample. Therefore, you need to first calculate the mean value of the Young's modulus, and then use the formula to calculate the standard deviation. Once you have the standard deviation, you can multiply it by the appropriate conversion factor to get the standard uncertainty in units kN/m2.
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Select the correct answer. What happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E? Assume there’s no friction between the ball and the ground. An image shows a curve that starts at point A, decreases at B, then increases at C and D, and ends at E. A. The sum decreases. B. The sum increases. C. The sum remains the same. D. The sum always equals zero.
The thing that happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E is option C. The sum remains the same.
What is the kinetic energy about?The total mechanical energy of an object is the sum of its kinetic energy (energy of motion) and its potential energy (energy of position or stored energy). According to the law of conservation of energy, the total mechanical energy of an object remains constant in an isolated system, as long as no external forces (like friction, air resistance) are acting on it.
The image attached is a curved path, and the ball is rolling from point A to point E. As the ball moves down the incline, it gains kinetic energy, and potential energy is lost, but the total energy remains constant.
When it reaches point B, it has the maximum kinetic energy and minimum potential energy, and as it continues on the path, its potential energy increases, and kinetic energy decreases. At point E, it has the minimum kinetic energy and maximum potential energy. However, the total energy remains the same.
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Find the sum of the measures of the interior angles of a convex 20-gon?
Answer:
The sum of the exterior angles must always be 360 deg.
Consider an equilateral triangle 3 * 120 = 360
For a square 4 * 90 = 360
For a pentagon 5 * 72 = 360
So for a 20-gon each interior angle = 180 - 18 = 162 with an exterior angle of 18
One must rotate 18 * 20 to get the full 360 deg so the side is back where it started
Since each interior angle = 162 deg one has
20 * 162 = 3240 deg for the sum of the interior angles
What is the formula of electric torque?.
Torque on an electric dipole is given by the formula, τ = q d e sinθ, where, τ is torque, q is charge, electric field strength e, angle between dipole and electric field.
When we consider a dipole that is placed in a uniform electric field e, to calculate the torque experienced by the dipole when placed in an external field with the axis of the dipole is at an angle to the electric field.
F = ± q e
The elements of the dipole-perpendicular force, F = ± q e sin θ
We know, τ = r × F = (q e sin θ) d = q d e sin θ
The dipole rotates when it is exposed to a consistent external electric field. Furthermore, the sum of the force and its arm determines its magnitude. The distance between the site of application of force and the point of rotation of the dipole is known as the arm.
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How was it possible for the bike and the semi-truck to have the same
momentum?
Answers/
1-One had more mass and greater velocity
2-The situation is not possible
3-One had less mass but greater velocity
4-One had less mass and less velocity
momentum depends on mass (m) and velocity (v) of object
momentum (p) = m × v
we can get the same value of momentum (m) by different pair values of m and v, for example if a truch has more mass and less velocity and the bike has less mass but more velocity then there must be a case when their momentum is same.
correct answer
3-) One had less mass but greater velocity
A 2kg ball accelerate downward at 9. 8m/^2. How long doe it take to reach a peed of 29. 4m/?
According to the problem it takes 3 seconds to reach a speed of 29. 4m/s.
What is speed?Speed is the rate of change in the position of an object over a given period of time. It is a scalar quantity, meaning it is a magnitude with no direction. Speed is the magnitude of the velocity vector. It is measured in units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). Speed is determined by the formula speed = distance/time.
The equation for calculating the time it takes for an object to reach a certain velocity given an initial velocity of zero is t = (vf - vi) / a,where an is the acceleration, vi is the starting velocity, and vf is the final velocity.
In this case, vf = 29.4 m/s, vi = 0 m/s, and a = 9.8 m/s^2.
t = (29.4 - 0) / 9.8
t = 3 seconds
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A 1. 5 kg baseball is pitched at 38 m/s and is hit by the batter. It heads directly back at the pitcher at 27 m/s.
a) Find the impulse applied to the ball.
b) If the bat is in contact with the bat for 0. 45 sec, how much force was applied.
Show all your work
The answers are:
A: The impulse applied to the ball is -6.75 kg m/s.
B: The force applied to the ball is -15.0 kg m/s^2, or 15.0 N.
a) Impulse is defined as the change in momentum of an object and can be calculated as the product of force and time. Momentum is given by the equation:
p = m * v
where m is the mass of the object and v is its velocity. The impulse applied to the ball is equal to the change in its momentum:
Δp = m * (vf - vi)
where vi is the initial velocity of the ball (38 m/s) and vf is its final velocity (27 m/s).
Substituting the values, we get:
Δp = 1.5 kg * (27 m/s - 38 m/s)
Δp = -6.75 kg m/s
So, the impulse applied to the ball is -6.75 kg m/s.
b) Force is defined as the impulse per unit time and can be calculated as:
F = Δp / Δt
where Δt is the time for which the force was applied (0.45 sec).
Substituting the values, we get:
F = (-6.75 kg m/s) / (0.45 s)
F = -15.0 kg m/s^2
So, the force applied to the ball is -15.0 kg m/s^2, or 15.0 N.
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What happens when new evidence is found that contradicts part of a theory?
When a new evidence is contradicts part of a theory will cause the theory rejected or incorrect.
How to research?Theory is a condition of an estimation from the researcher that did not prove the fact about but it is estimated to be true. In research, theory is a key to the flow of a research. The research itself are done by:
Determine the problemSearch for related referenceMake a hypothesis or a theory Make a real condition of a theory to find the resultDetermine whether the theory is true or right or half right.Dispose every false condition in the theory and make a conclusion and scientific factLearn more about research here
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if the rms value is 125 volts, what is the peak value?
if the RMS value is 125 volts, the peak value is 177.7 volts.
The peak value of an alternating current (AC) signal can be calculated from its root mean square (RMS) value.
In this case, if the RMS value is 125 volts, the peak value can be determined by multiplying the RMS value by the square root of 2.
This results in a peak value of approximately 177.7 volts.
The calculation can be seen as follows:
Peak Value = RMS Value x Square Root of 2
Peak Value = 125 x √2
Peak Value = 177.7 volts
The peak value is important in electrical engineering as it is used to determine the maximum voltage in an AC signal, allowing engineers to better understand the power requirements of a given circuit.
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PLEASE HELP!!!! A 0.5 kg football is moving at a velocity of
20 ms where it hits a receiver's hands who stops the ball in 0.075 seconds. What force did the receiver put on the ball?
The force applied on the football by the receiver is 80 N.
How to calculate force for football with moving velocity pf 20 ms?To calculate the force that the receiver put on the ball, we can use the equation:force = mass x accelerationwhere mass is the mass of the ball (0.5 kg) First, we need to calculate the change in velocity (delta v) by subtracting the final velocity (0 m/s) from the initial velocity (20 m/s):delta v = 20 m/s - 0 m/s = 20 m/sNext, we need to calculate the time it took for the receiver to stop the ball (t) : 0.075 secFinally, we can use the equation:force = mass x acceleration = 0.5 kg x (delta v / t) = 0.5 kg x (20 m/s / 0.075 sec) = 80 NSo the force put on the ball by the receiver is 80 N.
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After landing on Mars, you drop a marker from the door of your landing module and observe that it takes 2.1 ss to fall to the ground. When you dropped the marker from the module door on Earth, it took 1.3 ss to hit the ground.What is the magnitude of the acceleration due to gravity near the surface of Mars?Express your answer with the appropriate units.
Answer:
Approximately [tex]3.43\; {\rm m\cdot s^{-2}}[/tex], assuming that air resistance is negligible in both occasions, and that [tex]g_{\text{earth}} = 9.81\; {\rm m\cdot s^{-2}}[/tex] near the surface of the Earth.
Explanation:
Let [tex]x[/tex] denote the displacement of the marker. Let [tex]a[/tex] denote the acceleration of the marker. Let [tex]t[/tex] denote the time it takes for the marker to reach the ground.
Under the assumptions, acceleration of the marker would be constant, and the SUVAT equations would apply. Rearrange the SUVAT equation [tex]x = (1/2)\, a\, t^{2}[/tex] to find acceleration [tex]a[/tex]:
[tex]\begin{aligned}a &= \frac{2\, x}{t^{2}}\end{aligned}[/tex].
Let [tex]a_{\text{Mars}}[/tex] and [tex]t_{\text{Mars}}[/tex] denote the acceleration and time taken on Mars. Similarly, let [tex]a_{\text{Earth}}[/tex] and [tex]t_{\text{Earth}}[/tex] denote the acceleration and time taken on Earth. It is implied that the Marker travelled the same distance (same displacement, [tex]x[/tex]) both on Earth and on Mars.
Using the SUVAT equation from above:
[tex]\begin{aligned}a_{\text{Mars}} &= \frac{2\, x}{{t_{\text{Mars}}}^{2}}\end{aligned}[/tex].
[tex]\begin{aligned}a_{\text{Earth}} &= \frac{2\, x}{{t_{\text{Earth}}}^{2}}\end{aligned}[/tex].
[tex]\begin{aligned}\frac{a_{\text{Mars}}}{a_{\text{Earth}}} &= \frac{\displaystyle \frac{2\, x}{{{t_{\text{Mars}}}^{2}}}}{\displaystyle \frac{2\, x}{{{t_{\text{Earth}}}^{2}}}} \end{aligned}[/tex].
[tex]\begin{aligned}\frac{a_{\text{Mars}}}{a_{\text{Earth}}} &= \left(\frac{{t_{\text{Earth}}}}{{t_{\text{Mars}}}}\right)^{2}\end{aligned}[/tex].
[tex]\begin{aligned}a_{\text{Mars}} &= \left(\frac{{t_{\text{Earth}}}}{{t_{\text{Mars}}}}\right)^{2}\, a_{\text{Earth}} \\ &= \left(\frac{1.3\; {\rm s}}{2.2\; {\rm s}}\right)^{2}\, (9.81\; {\rm m\cdot s^{-2}}) \\ &\approx 3.43\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
How to calculate sound intensity?.
Sound intensity is described as sound per unit area perpendicular to the path of the sound waves and which is represented by I and calculated as [tex]I =\dfrac{P}{A}[/tex] , where, P = sound power and A = area.
What is Sound intensity?The term "sound intensity," also known as "acoustic intensity," refers to the amount of energy carried by sound waves per unit area in a direction perpendicular to that area. Watts per square metre (W/m2) is the SI unit of intensity, which also includes sound intensity. The noise measurement of sound intensity in the air at a listener's location as a sound energy quantity is one use.
Sound pressure and sound intensity are not the same physical quantities. Sound pressure, which is correlated with sound intensity, can affect human hearing. Consumer audio electronics refer to level differences as "intensity" differences, but sound intensity is a precisely defined quantity that cannot be detected by a straightforward microphone.
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What is Newton's 3rd law of motion explain it with two examples?.
"According to Newton's third law, there is an equal and opposite reaction to every action." For instance, a rocket goes upward after receiving reaction force from an ejecting jet, and a bullet fired from a pistol receives force from the gun that causes it to move forward. The bullet pushes the weapon rearward with an equivalent amount of force.
A body's forces of action and reaction are never equal. The explanation for this is because action and response always occur in pairs, are of equal size, and always point in the opposite direction.They cannot counteract one another since they act on distinct bodies.
The force that the first object applies to the second during an interaction between two objects is referred to as the action. The force applied by the second body to the first body is known as the response force. Action and reaction are therefore opposite and of equal magnitude.
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What force depends on mass and gravity?.
Gravitational force depends on mass and gravity.
Gravity has a force called gravitational force which is the force that pulls an object toward the earth. example, A leaf or fruit falls from a tree to the ground, river water flows down a river, or a ball is thrown up and lifted up and returned to the ground, to name a few examples of motion due to gravity. It is the force that exists between all objects in the universe. Two non-zero mass objects or particles are attracted to each other by gravity. Gravity acts on objects of all sizes, from elementary particles to clusters of galaxies.
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A car uses 15 Joules in 23 seconds. Find power.
Power= 0.6521739130434783 Watts
Power is the amount of energy transferred or converted per unit time. The unit of power is watt, that is equal to one joule per second. Power is a scalar quantity.
Power = work/time,
P = w/t,
w = 15 joules
t = 23 seconds
P = 15/23
= 0.6521739130434783 Watts
Work is measured in joules and Time is measured in seconds.
Therefore, power is 0.6521739130434783 Watts.
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What are 5 kinetic and potential energy examples?.
Following are some examples of both kinetic energy and potential energy:
Kinetic energy:
The movement of stars in the galaxyConstantly moving water in oceans and rivers A person walkingA charged particle in an electric field A crumb falling from a tablePotential energy:
A rock placed on the edge of a cliffA roller coasterA kid at the top of a slideA yoyo before it is releasedA raised weightPotential energy is the type of energy that is stationary, where stored energy is realesed; while kinetic energy is the type of energy that possesses in objected during their motion, where energy for movement is used actively.
Every moving object and particle involves kinetic energy. An object and particle at rest have zero kinetic energy. Because kinetic energy reflects the form of energy which is exhibited by the objects when they are in motion. On the other hand, the potential energy of an object is signified in its position, not its motion. It refers to the energy of position.
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Does mass depend on energy?.
Mass and energy of an object are related to each other .
In the theory of special relativity, mass and energy are closely related through the famous equation E = [tex]mc^{2}[/tex] , where E is the energy, m is the mass, and c is the speed of light.
This equation shows that energy and mass are interchangeable and can be converted into each other. So, in that sense, mass does depend on energy and vice versa.
In everyday life, however, the effects of special relativity are not significant and the mass of an object remains constant regardless of its energy. For example, a car at rest and the same car in motion at a high speed, both have the same mass, but they have different kinetic energy.
So, in general, mass and energy are related, but the relationship is only significant when dealing with objects that are moving at velocities close to the speed of light.
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0 7. 7
Give one concluion that can be made about the relationhip between the length of a
kayak and the eae of turning. [1 mark]
Give two concluion that can be made about the relationhip between the hape of
the kayak and it tability
Using the paddle to grasp the water and then moving the pressure from the blade through your body and into your kayak is called transferring power.
How does length affect kayak?Shorter hulls turn more rapidly, whereas longer boats have more storage space for overnight touring equipment and cruise more effectively. The difference in length of a few inches won't be obvious, but two feet or more will be apparent. Depth: Long-legged kayakers have more space thanks to deeper hulls, which also provide a little extra storage.Since both of these muscle groups need to be actively moving during paddling, kayakers must have strong shoulders and arms.Canoeing is sometimes referred to as kayaking, with the kayak being the name of the boat used. Crossing a stream of water is the main goal of canoeing.To learn more about kayak refer to:
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What are used for heavy torque transmission Mcq?.
High torque transmission is possible with gear couplings. They are therefore utilized in heavy-duty applications.
Torque: What does that mean?Generally speaking, torque seems to be a twisting of turning force and tends to create rotation along an axis, which could be a fixed point or the center of mass. The capacity of a spinning object, such as a gear or perhaps a shaft, can overcome turning resistance is another way to conceptualize torque.
To know more aWhat does torque mean for beginners in cars?When an engine strains itself, torque—a twisting force that refers to the rotational force—measures the amount of that bending force that is accessible. Everyday activities like turning a door, opening a drink bottle, to use a wrench, or peddling a bicycle all involve some kind of torque.
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An electron in a sodium atom moves from the third shell to the fourth shell. This change is a result of the atom.
The electron can move from the third shell to the fourth shell in a sodium atom as a result of electron transitions. These transitions are triggered by the absorption or emission of energy, such as in the form of photons.
What is the photons ?Photons are the smallest unit of electromagnetic radiation. They are a particle of light that are produced when an atom is excited, and are responsible for most of the light we see around us. Photons travel at the speed of light, and can be described in terms of frequency and wavelength. Photons have no mass and no charge, but they do have momentum and energy. They are also the primary carriers of the electromagnetic force. Photons play an important role in quantum mechanics and are the mediators of all electromagnetic interactions. Photons are also the only particles that can travel through a vacuum, and are the only way to directly measure the properties of the electromagnetic field.
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how fast is the moon traveling as it orbits the earth?
The Moon travels 2288 miles per hour as it orbits around the Earth with an orbital period of 27 days.
Orbital velocity is known as the speed needed to stay in orbit.
The Moon is an celestial body that orbits around our planet Earth and is Earth's only natural satellite.
The Moon orbits around the Earth at a speed of 2,288 miles per hour which is 3,683 kilometers per hour or can be 1.022 km/s. The orbital period is 27 days. During this time of the motion it travels a distance of 1,423,000 miles which is 2,290,000 kilometers around the Earth in a fixed orbit.
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An object of mass 1.2 kg is moving with a velocity of 2.0m/s when it is acted on by a force of
4.0 N. The velocity of the object increases to 5.0 m/ S.
For what period of time does the force act on the obiect?
Answer:
[tex]\huge\boxed{\sf t = 0.9 \ s}[/tex]
Explanation:
Given Data:Mass = m = 1.2 kg
Initial Velocity = [tex]V_i[/tex] = 2.0 m/s
Final Velocity = [tex]V_f[/tex] = 5.0 m/s
Force = F = 4.0 N
Required:Time = t = ?
Formula:[tex]\displaystyle F=\frac{m(V_f-V_i)}{t}[/tex]
Solution:Put the given data in the above formula
[tex]\displaystyle 4=\frac{1.2(5-2)}{t} \\\\4=\frac{1.2(3)}{t} \\\\4=\frac{3.6}{t} \\\\Multiply \ t\ to \ both \ sides\\\\4t = 3.6\\\\Divide \ both \ sides \ by \ 4\\\\t=3.6/4\\\\t = 0.9 \ s \\\\\rule[225]{225}{2}[/tex]
Answer:
0.9s
Explanation:
SolutionThis question tests on the concept of the Kinematics Equations.
Given information from the question,
we can use the equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
We also need the equation: F = ma,
where F is the force applied, m is the mass the object, and a is acceleration.
We first find the acceleration of the object.
F = ma,
4N = (1.2kg) × a
a = 4 ÷ 1.2 =
[tex]3 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
Now with the acceleration, we can find the time taken for the acceleration to take effect.
v = u + at,
[tex]5 = 2 + (3 \frac{1}{3} )t \\3 \frac{1}{3} t = 3 \\ t = 3 \div 3 \frac{1}{3} = 0.9s[/tex]
Therefore time taken = 0.9s
Calculate the answer to the correct
number of significant digits.
15.3 + 1.285
PLS HELP RN
A ball is thrown horizontally at 7.7 m/s from the top of a hill 59.6 m high. How far from the
base of the cliff does the ball hit the ground?
h = v 0 y 2 2 g ,This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.
How do you calculate a ball's maximum height when you throw it up with height?Calculate the ball's greatest height using the vertical motion model, h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.
The maximum range is 45; why?We can see that for the longest-range punts 2 = 90 degrees and, consequently, = 45 degrees because the sine function has an input angle of 90 degrees that results in its highest output value, 1. In other terms, a projectile moves the farthest.
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