29 m/sec fast it will be travelling when it reaches the ground, 43 m below.
What is conservation of energy?Energy conservation, a basic rule of physics and chemistry states that despite internal changes, the overall energy of an isolated system remains constant. It is the underlying principle of the first rule of thermodynamics, which is most frequently stated as "energy cannot be generated or destroyed."
As an illustration, a radio converts electrical energy into sound energy.
Given that,
height (h) = 43 m
g = 9.8 m/sec
Using the conservation of energy,
mgh = 1/2 m v²
or, v = [tex]\sqrt{2gh}[/tex]
or, v = [tex]\sqrt{2 * 9.8 * 43}[/tex]
or, v = 29 m/sec.
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relationship between the amplitude, velocity, acceleration and kinetic energy for the simple harmonic oscillator)
Because the mass is moving at a constant speed, its kinetic energy equals equal to zero. square of a amplitude and therefore is equal to the block's energy.
What is a acceleration explain?Acceleration is the rate at which an moving object's speed and direction change over time. Travel on a circle increases irrespective of whether the speed stays the same since its orientation is always changing.
What are the 3 types of acceleration?The three main types of accelerated motions are regular acceleration, non-uniform acceleration, or average acceleration. The motion in which an item moves inside a straight line while increasing in velocity at regular intervals is referred to as uniform acceleration.
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A large truck is ahead of you and is turning right onto a street with two lanes in each direction. The truck:
A. May complete its turn in either of the two lanes.
B. May have to swing wide to complete the right turn.
C. Must stay in the right lane at all times while turning.
We can see a big truck turning right in front of you onto a roadway with two lanes going in either direction. When turning, the truck must always stay in the right lane.
What's mean by direction?Direction is characterized as the course that anything follows, the route that must be taken to reach a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you make a turn instead of left, that is an illustration of direction.
What is compass direction?Despite taking into account compass error, the direction as shown by the instrument. The true direction referred to an Earthly meridian may vary markedly from the direction represented by a magnetic compass.
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You measure the mass of your rubber band airplane and find that it is 15 grams (0.015 kg). You also measure the acceleration of the airplane with a motion detector and find that the airplane initially accelerates upward at a rate of 2 m/s 2. Calculate the net force on the airplane and the upward force from the lift.
A cube with edge length L = 0.29 m and density ρc = 0.89×103 kg/m3 floats in equilibrium in a liquid of density ρl = 1.5×103 kg/m3, with the top of the cube a distance d above the liquid’s surface
A; Write an expression to find d using the image
It is given that,
Cube Length (L) = 0.29m
Density of Cube (Pc) = 0.89 *103 Kg/m3
Density of Liquid (P1) = 1.5 *103 Kg/m3
Distance (d) =?
We know that,
d = {(P1 - Pc)/P1}*L
d = {(1.5*103–0.89*103)/1.5*103}* 0.29
d = {(1.5 – 0.89)/1.5} * 0.29
d = 0.118m
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The expression to find distance using the given quantities is:
d = ( ρl - ρc ) L / ρl
How to apply this expression to find distance?In this question, it is given that a cube with length L= 0.29 meter and the density of cube ρc = 0.89×103 kg/m3 and it floats in equilibrium in liquid of density ρl = 1.5×103 kg/m3 with the top of the cube a distance d above the liquid surface. So here is the liquid, and the cube will float on the liquid at a distance d. Thus, the expression in terms of the given quantities to find distance d can be written as-
d = ( ρl - ρc ) L/ρl
We are given that,
Density of cube, ρc = 0.89×103 kg/[tex]m^{3}[/tex]
Density of liquid, ρl = 1.5×103 kg/[tex]m^{3}[/tex]
Edge length of cube, L = 0.29 m
So, on substituting the given values in above expression, we get:
d = [(1.5×103 – 0.89×103) / 1.5×103] × 0.29
d = [(1.5 – 0.89) / 1.5] × 0.29
d = 0.118 m
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A cart at the end of a spring undergoes simple harmonic motion of amplitude A = 10 cm and frequency 5.0 Hz. Assume that the cart is at x=−A when t=0.
a) Determine the period of vibration.
b) Write an expression for the cart's position as a function of time.
c) Determine the position of the cart at 0.050 s .
d) Determine the position of the cart at 0.100 s .
A cart at the end of a spring undergoes simple harmonic motion of amplitude A = 10 cm and frequency 5.0 Hz. Assume that the cart is at x = −A when t = 0.
(a) T = 0.2 sec
(b) x(t) = − (10 cm)cos(10π) s⁻¹ t
(c) x(0.050) = 0
(d) x(0.100) = 10 cm
What is Simple harmonic motion?Simple harmonic motion is described as the periodic movement of a point down a straight line with an acceleration that is always toward a fixed point on that line and is proportional to that point's distance from the moving point.
Given that,
frequency (f) = 5.0 Hz
Amplitude (A) = 10 cm
(a) As we know,
T = 1/f
or, T = 1/5 Hz
or, T = 0.2 sec
(b) Because the expression for the cart position is at x= −A when t=0 , this means that the function which describes the position of the cart is a cosine function because, cos(0)=1.
Notice that the form of the equation that describes the position of a vibrating object is as follows :
x(t) = A cos (2Π/T) × t
Substitute for the values of T=0.2s ; A=10 cm and because x = −A when t = 0,then the function will have a negative sign
x(t) = −(10 cm)cos(10π) s⁻¹ t
(c) the position of the cart at 0.050 s:
x(0.050) = −(10 cm)cos(10π) s⁻¹ × (0.050)
x(0.050) = −(10 cm) (cos π/2)
x(0.050) = 0
(d) the position of the cart at 0.100 s:
x(0.100) = −(10 cm)cos(10π) s⁻¹ × (0.100)
x(0.100) = −(10 cm) (cos π)
x(0.100) = 10 cm
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A roller coaster car travels along the track as shown in the image. At which two points does the car have the least amount of potential energy?
Points 1 and 5.
Points 1 and 4.
Points 2 and 4.
Points 2 and 5.
Points 2 and 5 is the point the car have the least amount of potential energy. Hence option d is correct.
What is potential energy?Potential energy is defined as the energy that an object stores as a result of its position in relation to a zero position. Any object that is raised from rest has energy that can be released at a later time; for this reason, it is referred to as potential energy.
The object has a maximum amount of gravitational potential energy and no kinetic energy at the top of the roller coaster (assumed there is no velocity). The gravitational potential energy of the object decreases and the kinetic energy rises as it starts to descend to the bottom.
Thus, points 2 and 5 is the point the car have the least amount of potential energy. Hence option d is correct.
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The road runner was being chased and outsmart the coyote. He ran past the road runner an fell straight down off a cliff. He fell with the same acceleration as gravity (9.8). Calculate his displacement if he fell for 4 seconds
The displacement of the runner after four seconds is 78.4 m.
What is the displacement after 4 seconds?We know that in this case, we are dealing with a case of an object that has a motion under gravity. We are told that the road runner an fell straight down off a cliff. The fact that we have been told that the runner just fell down the cliff means that the initial velocity of the runner would have to be taken in this context as zero since the runner was dropped from a height as shown.
Acceleration of the runner (g) = 9.8 m/s^2
Initial velocity of the runner (u) = 0 m/s
Time take (t) = 4 seconds
We then have;
h = ut + 1/2gt^2
If we then know that the initial velocity of the person is zero, then we have;
h = 1/2gt^2
h = 0.5 * 9.8 * (4)^2
h = 78.4 m
The height is 78.4 m.
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short-wave (visible and ultraviolet) radiation that reflects off the earth's surface is absorbed by the lower atmosphere and heats it up, a process otherwise known as the greenhouse effect.
The statement "short-wave (visible and ultraviolet) radiation that reflects off the Earth's surface is absorbed by the lower atmosphere and heats it up, a process otherwise known as the greenhouse effect" is true.
How does the greenhouse effect work?Solаr energy аbsorbed аt Eаrth’s surfаce is rаdiаted bаck into the аtmosphere аs heаt. Аs the heаt mаkes its wаy through the аtmosphere аnd bаck out to spаce, greenhouse gаses аbsorb much of it. Greenhouse gаses аre more complex thаn other gаs molecules in the аtmosphere, with а structure thаt cаn аbsorb heаt. They rаdiаte the heаt bаck to the Eаrth's surfаce, to аnother greenhouse gаs molecule, or out to spаce.
Eаrth is constаntly bombаrded with enormous аmounts of rаdiаtion, primаrily from the sun. This solаr rаdiаtion strikes the Eаrth's аtmosphere in the form of visible light, plus ultrаviolet (UV), infrаred (IR) аnd other types of rаdiаtion thаt аre invisible to the humаn eye. UV rаdiаtion hаs а shorter wаvelength аnd а higher energy level thаn visible light, while IR rаdiаtion hаs а longer wаvelength аnd а weаker energy level.
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For many years Colonel John P. Stapp, USAF, held the world's land speed record. On March 19.1954, he rode a rocket-propelled sled that moved down a track at a speed of 632 mi/h . He and the sled were safely brought to rest in 1.40 s (Fig. P2.31). Determine (a) the negative acceleration he experienced and (b) the distance he traveled during this negative acceleration.
The negative acceleration and distance is 451.42m/s² and 175.55m.
When an object experiences negative acceleration, its velocity changes in a negative direction, which can indicate that it is moving either slower or faster.
As a vector quantity that denotes both magnitude and direction, the term "acceleration" is used in physics to describe a change in an object's velocity.
Positive velocity, which is also a vector, makes something move more slowly than something experiencing negative acceleration. An object that has both negative acceleration and velocity, however, is actually moving faster.
a]. Negative Acceleration = dv/dt
a=632/1.40=451.42m/s²
b]. distance= speed x time
d=632x 5/18=175.55m
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Wax is a nonpolar substance. In which type of substance is it the most soluble?
Answer: C. A hot non-polar substance
Explanation: I am guessing you have options for this, because I've already had this question at school. So C.
A light ray strikes the surface of crown glass (n = 1.520), at a 25° angle with respect to the normal from air(n = 1.000293), and leaves the glass, returning to the air. Determine the angle at which the light refracts when it leaves the glass.
16.14° is the angle of refraction of the light when it leaves the glass.
What is angle of refraction?Snell's law states that the angle of refraction, θr, is proportional to the angle of incidence, θi and the ratio of the refractive indices of the two media that comprise the interface. The angle θr=θi and no refraction occur when the mediums have equal refractive indices.
Given that,
The glass has an index of refraction (n₁) = 1.52
Air has an index of refraction (n₂) = 1.000293.
According to Snell's law:
n₂/n₁ = sin θ₁ / sin θ₂
or, 1.000293 / 1.52 = sin θ₁ / sin (25°)
or, 0.6581 = sin θ₁ / 0.42262
or, 0.2781 = sin θ₁
or, θ₁ = sin⁻¹ (0.2781)
or, θ₁ = 16.15°
So, 16.15° is the angle of refraction of the light when it leaves the glass.
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Can you summarize what it takes to make an object change direction ill report if you steal my point and put the wrong answer
Answer: The only way for the object to change its motion is if an external unbalanced force acts on it.
Explanation:
Newton's First Law of Motion (aka Law of Inertia) states:
An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
Velocity is a VECTOR, so it has both magnitude (size) and direction. The magnitude of the velocity of an object in motion (its speed) can stay the same, but if it changes direction, its velocity has changed. The only way for the object to change its direction of motion is if an external unbalanced force acts on it.
Box A of mass m sits on the floor of an elevator with box B of mass 2 m on top of it, as shown the figure above. The elevator is moving upward and slowing down. F_A is the magnitude of the force exerted on box A by box B, F_B is the magnitude of the force exerted on box B by box A, and F_g is the magnitude of the gravitational force exerted on box {B}. Which of the following ranks the forces in order of increasing magnitude?
Box A of mass m sits on the floor of an elevator with box B of mass 2 m on top of it, in this case option b) would be correct in order of increasing magnitude.
What is magnitude?
Magnitude is a term used in physics to describe an object's maximal size and direction. Scalar and vector quantities both use magnitude as a common factor. We are aware that scalar quantities are those that have just magnitude by definition. Those quantities with both magnitude and direction are considered vector quantities.
There are different ways in which magnitude can be used. Some of them are:
Magnitude of earthquakeMagnitude of charge on an electronMagnitude of forceMagnitude of displacementMagnitude of gravitational forceAn earthquake's size is measured in terms of its length, breadth, and width. It is calculated based on the earthquake's actual size. A single magnitude is thought to exist for an earthquake. Due to variables including the type of surface material and distance from the epicentre, the magnitude of the shaking brought on by the earthquake varies depending on where it occurs.
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Two boxes with different masses slide down a ramp from the same initial height. Assuming friction is 0, which statement correctly describes the energy of the boxes when they are halfway down the ramp?
Each box has one-half the kinetic energy it had at the top of the ramp.
Both boxes have the same amount of kinetic energy as each other.
Each box has one-half the potential energy it had at the top of the ramp.
Both boxes have the same amount of potential energy as each other.
Both boxes have the same amount of kinetic energy as each other (option- b) is correct.
How does the mechanical energy in the system change as a result of friction?If no energy is lost through friction, the system's mechanical energy stays constant. When the speed picks up, the energy would change into kinetic energy. Providing there is no energy loss from friction, the system's mechanical energy increases.
The potential energy of an object falls while its kinetic energy rises. The increase in kinetic energy exactly offsets the decrease in potential energy. The idea of work is another crucial one.
Some kinetic energy is converted into heat energy when friction occurs between two surfaces that are moving over one another.
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7.)Summarize Newton’s Third Law.
8.) When gravity pulls your book down onto your desktop with 4 N of force, how strong does your desk push back?
9.) Describe/explain an everyday example
Newton’s 3rd Law in action.
(Please help me I need to study for my Test T-T)
Newton's third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A.
8)The force of gravity pulling down and the force of the table (FRICTION) pushing upwards on the book are of equal magnitude and opposite directions. These two forces balance each other.
9)A man walking on the ground, While walking, a person pushes the ground in the backward direction, and the ground in return pushes the person in the forward direction, thus making them walk.
How does Newton's 3rd law explain how a person walks across a floor?
Newton's third law states that every action has an equal and opposite reaction. This is relevant to walking because when you put your foot on the ground, you are applying force to it. In doing this, the ground also actually applies an equal force onto your foot, in the opposite direction, pushing you forward.
What is an example of Newton's 3rd law?
Examples of Newton's third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies an equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.
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Given that : A = 4i+6j+12k and B = 3i+12j-7k.
(a) find the magnitude of A and B
(b) find magnitude of A-B
(c) find the sum of A and B
(d)Find the magnitude of A+B
(a) The magnitude of A is 14 and magnitude of B is 14.2.
(b) The magnitude of A - B is 19.95.
(c) The sum of A and B is 7i + 18j + 5k
(d) The magnitude of A + B is 19.95.
What is the magnitude of A and B?The magnitude of A and B is calculated as follows;
| A | = √ ( 4² + 6² + 12² )
| A | = 14
| B | = √ ( 3² + 12² + 7² )
| B | = 14.2
The magnitude of A - B is calculated as follows;
A - B = ( 4i + 6j + 12k ) - (3i + 12j - 7k)
A - B = ( i - 6j + 19 k )
|A-B| = √ (1² + 6² + 19²) = 19.95
The sum of A and B is calculated as follows;
A + B = ( 4i + 6j + 12k ) + (3i + 12j - 7k)
A + B = ( 7i 18j + 5k )
The magnitude of A + B is calculated as follows;
|A+B| = √ (7² + 18² + 5²) = 19.95
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A disk between vertebrae in the spine is subjected to a shearing force of 530 N. Find its shear deformation in meters, taking it to have the shear modulus of 1 109 N/m2. The disk is equivalent to a solid cylinder 0.700 cm high and 3.80 cm in diameter.
The disk is equivalent to a solid cylinder 0.700 cm high and 3.80 cm in diameter. The shear deformation is .∆x=3.34×10⁻⁶ m.
What is deformation?Deformation refers to the change in size or shape of and object whereas displacements are the absolute change in to the position of a point on the the object. Deflections is the relative changes in external displacements in an object.
The shear deformation is .
Given that,
Shearing force F = 600 nm
Shear modulus S=1×10⁹ n/m²
length = 0.700 cm
diameter = 4.00 cm
We need to find the shear deformation
Using formula of shear modulus
S=Flo/A ∆x
∆x=Flo/(rd²/4)S
∆x=4Flo/(rd²/)S
Put the value into the formula
∆x=4×600×0.700×10²/3.14×1×10⁹×(4.00×10²)
∆x=3.34×10⁻⁶ m
Hence, The shear deformation is .∆x=3.34×10⁻⁶m
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a young girl from the kayan people wears a neck ring made of brass. it looks as if there are 21 individual rings but the ring is actually one continuous length of brass fashioned (bent) into a coil. the height of the brass coil is 12 cm and its average circumferences is 40 cm. neck rings are usually only removed to be replaced with a bigger one as the girls grows. however, we can estimate the mass of this neck ring without removing it.
b. the coil has a height of 12 cm and the coil has 21 turns. calculate the radius of the brass in cm.
The radius of the brass is determined as 0.091 cm.
What is the radius of the brass?
The radius of the brass is calculated by applying the equation for the circumference of a circle.
Mathematically, the equation for the circumference of a circle is given as;
C = 2πr
where;
r is the radius of the circleC is the circumference of the circleFor the given number of turns of the coil and the height of the coil, the radius of the brass is calculated as follows;
( 2πr ) N = h
where;
N is the number of turns of the brass coil = 21 turnsh is the height of the brass coil, = 12 cm( 2πr ) N = h
( 2πr ) ( 21 ) = 12
42πr = 12
r = 12 / 42π
r = 0.091 cm
Thus, the radius of the brass is a function of height of the brass and the number of turns of the brass.
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There are three general types of spectra: continuous, emission, and absorption. Each is characterized by a different distribution of the wavelengths (i.e., colors) of radiation. Sort the images of the three types of spectra into the appropriate bins.
Each type of spectrum is unique in the way the wavelengths (colors) of light are distributed. The continuous spectrum shows a continuum of all the colors, whereas the emission spectra show only specific lines of emitted color. The absorption spectra show only small black ranges where specific colors have been absorbed away.
There are three general types of spectra: continuous, emission, and absorption. The image drag are:
Continuous
Image 1 (full spectrum)
Emission
Image 2 (mostly dark)
Image 5 (mostly dark)
Absorption
Image 3 (full with lines)
Image 4 (full with lines)
What is the spectrum above about?The distribution of light's wavelengths (or colors) differs for each type of spectrum. While the emission spectra only display individual lines of emitted color, the continuous spectrum displays a continuum of all hues. Only tiny black ranges where particular colors have been taken away are seen in the absorption spectrum.
From the image attached:
A hot, high-density light source generates a continuous spectrum.A hot, low-density light source generates an emission spectrum.A hot, high-density light source passing through a cold, low-density medium results in an absorption spectrum.Learn more about continuous spectrum from
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a 300 g mass hangs vertically from a spring. a spring elongation of 11 cm is recorded. calculate the spring constant k in newtons per meter (n/m). (make sure to use the right si units for the mass and elongation)
The spring constant (K) is 2.67n/m when 300 g mass hangs vertically from a spring.
What is Spring?A spring is a material that may be bent by an external force before resuming its original shape.
What is the Spring constant?Now, the force required for every unit of spring extension is known as the "Spring constant." Knowing the spring constant makes it simple to calculate the amount of force needed to bend the spring.
Hooke's law states that F = -KX.
Calculations:
Given,
Mass = 300g = 0.3kg
Spring elongation = x = 11cm = 1.1m
Spring constant = k =?
Kx= mg
K = mg/x
K = (0.3 * 9.81) / 1.1m
K = 2.67n/m.
Hence, the spring constant (K) is 2.67n/m when 300 g mass hangs vertically from a spring.
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A proton (charge 1.602 * 10-19) moves a distance of d
= 0.59 m from point A to point B in a straight line inside a linear accelerator. The electric field of the accelerator is uniform and has a magnitude of 15 MN/C.
What is the electric force on the proton?
F=
What is the work done on the proton?
W=
What is the potential difference between the points A and B?
Vab=
A proton (charge 1.602 * 10-19) moves a distance of d= 0.59 m from point A to point B in a straight line inside a linear accelerator. The electric field of the accelerator is uniform and has a magnitude of 15 MN/C.
i.) The expression for the force on proton is,
F=qE
(1.6⋅10−19 )(1.5⋅10 7)
=2.4⋅10 −12 N
Thus, the force on the proton is 2.4⋅10 −12 N.
ii) The expression for the work done by the field is,
W=qEd
(1.6⋅10 −19)(1.5⋅10 7 )(0.5)
=1.2⋅10 −12J
iii) The expression for the potential difference is,
U=Ed
=(1.5⋅10 7) (0.5)
=0.75⋅10 7 V
Electric potential of a system of point charges?
A point charge's electric potential is V=kQ/r. Electric field is a vector while electric potential is a scalar.
What is the electric potential at a point distance?
Electric potential at point P, located at a distance of r=R2 from the center, where R is the radius of an evenly charged shell with a density of surface charges.
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Figure shows an electric dipole. What are the (a) magnitude-axis) direction (relative to
the positive direction of the x axis) of the dipole’s electric field at point P, located at
distance r >> d?
The magnitude-axis direction relative to the positive direction of the x axis of the dipole’s electric field at point P, located at distance r >> d is 1 / 4λεο x qd/r³.
What is electric field?Electric field is defined as the physical field that surrounds electrically charged particles and acts as an attractor or repellent on all other charged particles in the field. A vector quantity called an electric field can be represented by arrows pointing in the direction of or away from charges.
| E net | = 2 E sinθ = 2[1 / 4λεο x q / (d/2)² + 1³] d/2 / √(d/2)² + r ²
= [1 / 4λεο x qd / [(d/2)² + r²] ³/²
For r >> d [(d/2)² + r²] ³/² ≅ r
So the expression will be
| E net | = 1 / 4λεο x qd / r³
Thus, the magnitude-axis direction relative to the positive direction of the x axis of the dipole’s electric field at point P, located at distance r >> d is 1 / 4λεο x qd/r³.
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An Atwood’s machine is set up by suspending two blocks connected by a string of negligible mass over a pulley, as shown above. The blocks are initially held at rest and then released. The acceleration of mass M1 is 4.9 m/s2 downward and M1 = 6 kg. Find the mass of M2.
The mass of M₂ = 12kg.
What is acceleration of mass?Newton's second law of motion states that an object's acceleration is equal to its mass divided by the net force acting on it, or a = F m. When an object's mass and the net force acting on it are known, this equation for acceleration can be used to determine the object's acceleration.
The formal formulation of Newton's second law is as follows: The acceleration of an object caused by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
F = ma
F = 6×4.9
F = 29.4N.
F = (M₂ - M₁)a
29.4 = (M₂- 6) 4.9
29.4/ 4.9 = M₂- 6
M₂ = 6+6
M₂ = 12kg.
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The position , in meters, of an object moving along the -axis is given as a function of time , in seconds, as ()=0.09814−0.1953+0.8552+3.15−7.49 Find the object's acceleration at time =3.41 s.
With the knowledge of differential calculus, the magnitude of the object's acceleration is 11.4 m/s²
What is Position ?Position is any point of coordinate in space or any region in which an object can be located.
Given that the position , in meters, of an object moving along the x-axis is given as a function of time t, in seconds, as
x(t) = 0.09814[tex]t^{4}[/tex] − 0.1953t³ + 0.8552t² + 3.15t − 7.49
The object's acceleration at time =3.41 s can be found with the knowledge of differential calculus.
The derivative of position = velocity
The derivative of velocity = acceleration
That is,
If x(t) = 0.09814[tex]t^{4}[/tex] − 0.1953t³ + 0.8552t² + 3.15t − 7.49
dx/dt = 0.39256t³ - 0.5859t² + 1.7104t + 3.15 = v
dv/dt = 1.17768t² - 1.1718t + 1.7104
when time t = 3.41 s
Substitute for t
dv/dt = a = 1.17768(3.41)² - 1.1718(3.41) + 1.7104
a = 13.69 - 4.00 + 1.7104
a = 11.4 m/s²
Therefore, the object's acceleration at time = 3.41 s, is 11.4 m/s² approximately.
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Figure shows an electric dipole. What are the (a) magnitude-axis) direction (relative to
the positive direction of the x axis) of the dipole’s electric field at point P, located at
distance r >> d?
At point P, which is situated at a distance of r >> d, the electric field of the dipole has a magnitude-axis direction that is 1 / 4 x qd/r³ in relation to the positive direction of the x axis.
What is electric field?The physical field that surrounds electrically charged particles and has the power to either attract or repel other charged particles in the vicinity is known as an electric field. Arrows pointing toward or away from charges can be used to depict the vector quantity known as an electric field.
| E net | = 2 E sinθ = 2[1 / 4λεο x q / (d/2)² + 1³] d/2 / √(d/2)² + r ²
= [1 / 4λεο x qd / [(d/2)² + r²] ³/²
For r >> d [(d/2)² + r²] ³/² ≅ r
So the expression will be reduced to
| E net | = 1 / 4λεο x qd / r³
Thus, at point P, which is situated at a distance of r >> d, the electric field of the dipole has a magnitude-axis direction that is 1 / 4 x qd/r³ in relation to the positive direction of the x axis.
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A 4.5-kg, three legged stool supports a 65-kg person. If each leg of the stool has a cross-sectional diameter of 2.6 cm and the weight of the person is evenly distributed, determine the pressure exerted on the floor by each leg.
The pressure exerted on the floor by each leg is 427832.0079 Pa.
F = mg
F = (4.5 + 65) × 9.8
F= 681.1 N
This force is evenly distributed on the three leg
radius, r = d/2
= 2.6 / 2
= 1.3 cm = 0.013 m
Total cross sectional area of the three legs, A = 3×π×[tex]r^{2}[/tex]
A = 3 × 3.14 × [tex]0.013^{2}[/tex]
A = 0.00159 [tex]m^{2}[/tex]
Pressure due to weight,
P = Weight/A
P = 681.1/ 0.00159
P = 427832.0079 Pa
Hence, the pressure exerted on the floor by each leg is 427832.0079 Pa.
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Peter and Nancy leave their office in Sacramento at the same time. Peter drives north on I-5 at a speed of 72 miles per hour. Nancy drives south on I-5 at a speed of 76 miles per hour. How long will it take them to be 330 miles apart?
2.2 hours long will it take them to be 330 miles apart.
They are separating at (72+76) = 148 miles per hour relative to each other, so they will take (330miles/148miles per hour)
[tex]330/148=2.2[/tex]
What are the distance problems?
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time. Things to watch out for: Make sure that you change the units when necessary.
How do you solve distance-time problems?
To work out speed, divide the distance of the journey by the time it took to travel, so speed = distance divided by time. To calculate time, divide the distance by speed. To get the distance, multiply the speed by time. You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time.
Thus, it takes 2.2 hours for them to be 330 miles apart.
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Eli wanders around the park. First he walks north 4 meters to the swings. Then he walks south
2.5 meters to the bench to take a break. If he spends 600 seconds doing these things...
What is the distance traveled?
Answer: total distance traveled = 6.5 m
Explanation:
Important to note the difference between displacement and distance. Distance is the total length of the path taken: 4 + 2.5 = 6.5 m
Displacement is the distance from the point of origin to the ending point:
4 - 2.5 = 1.5 m
The question asked for the DISTANCE, so the answer is 6.5 m
Physics question, vectors
The typical canoeist can paddle at about 2.6 knots, or 3 mph (ca. 5 km/h), when paddling without stopping and in calm, quiet water. Obviously, the length of time depends on the weather, the person's health, and the speed of the canoe.
What speed of canoe with respect to water and shore?The typical canoeist can paddle at about 2.6 knots, or 3 mph (ca. 5 km/h), when paddling without stopping and in calm, quiet water. Obviously, the length of time depends on the weather, the person's health, and the speed of the canoe.
Therefore, When the medium is deepest, water waves propagate more quickly. Water waves will therefore slow down as they go from deep to shallow water.
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A student is trying to determine the muzzle
velocity (initial) of a bullet that is too fast to
measure directly. The student fires the 0.05kg
bullet into a 4kg block of wood initially at rest.
After the collision, the block, with the bullet
embedded inside moves to the right with a
speed of 1.87m/s right.
before collision:
Pbullet
Pblock
after collision:
Pcombined
kg m/s
kg m/s
kg m/s
How fast was the bullet fired?
m/s
The muzzle velocity of the bullet is 89.4 m/s.
What is muzzle?Muzzle is the front end of a firearm, where the projectile exits the barrel. It is an important safety feature, which helps to ensure that the firearm is pointed in a safe direction. Muzzles also help to contain the explosive force of the propellant gas, reducing the recoil of the firearm, and helping to protect the shooter from harmful gases and debris. Some firearms have additional features, such as flash suppressors, which help to reduce the muzzle flash created when the firearm is fired, making it easier to aim in low light conditions.
The muzzle velocity of the bullet can be determined by conservation of momentum. Momentum is defined as the mass of an object multiplied by its velocity. Therefore, the momentum of the bullet (Pbullet) before the collision is equal to the combined momentum of the bullet and the block (Pcombined) after the collision. We can calculate the muzzle velocity of the bullet by rearranging the equation as follows:
Pbullet = Pcombined
mv = (m + M)V
v = (m + M)V/m
where m is the mass of the bullet (0.05 kg), M is the mass of the block (4 kg), V is the velocity of the block after the collision (1.87 m/s), and v is the muzzle velocity of the bullet.
Plugging in the values, we get:|
v = (0.05 + 4) * 1.87/0.05 = 89.4 m/s
Therefore, the muzzle velocity of the bullet is 89.4 m/s.
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