The correct option is D, if some projectile lands at the same height at which it is fired t= 2*Vo*sin [tex]\theta\\[/tex]/g is the projectile's flight.
Here, yi=yi + vyt -0.5gt^2
Where, vy=v*sintheta
So, 0=(Vo*sin[tex]\theta\\[/tex])*t-0.5gt^2
Hence, time, t= 2*Vo*sin [tex]\theta\\[/tex]/g
A projectile is an object that is thrown, shot, or projected into the air and moves under the influence of gravity. It can be any object, including a ball, stone, bullet, or rocket, that is given an initial velocity and then continues to move freely under the influence of gravity.
Projectile motion is a type of two-dimensional motion, meaning that it can be described by the movement of the object in two perpendicular directions, typically referred to as the horizontal and vertical directions. In the absence of air resistance, the motion of a projectile is determined solely by the force of gravity acting upon it.
The trajectory of a projectile can be predicted using the equations of motion and can be visualized as a parabolic path. The maximum height reached by a projectile, its range, and the time it takes to reach the ground can be calculated using these equations.
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Complete Question: -
If some projectile lands at the same height at which it is fired (yo), how long is the projectile's flight?
A. t = 2v0 cos [tex]\theta[/tex] / g B. t= Vo sin [tex]\theta\\[/tex] / 9 C. x0 / V0cos[tex]\theta\\[/tex] D. t= 2V0 sin [tex]\theta\\[/tex]/g
determine the energy required to accelerate a 1091 kg car from 4 to 35 meters on an uphill road with a vertical rise of 104 m
The energy required to accelerate the car is 659509.5 J
It is given that
mass of car (m) = 1091 kg
Initial speed (u) = 4 m/s
Final speed (v) = 35 m/s
height of hill (h) = 104 m
It is given by
KE = 1/2 x m x (v^2 - u^2)
KE = 1/2 x 1091 kg x (35)^2 - (4)^2
KE = 659509.5 J
Hence, energy required to accelerate the car is 659509.5 J
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two loudspeakers, a and b , are driven by the same amplifier and emit sinusoidal waves in phase. the frequency of the waves emitted by each speaker is 686 hz . you are standing between the speakers, along the line connecting them and are at a point of constructive interference. for related problemsolving tips and strategies, you may want to view a video tutor solution of
From the midpoint we must move 1.34 m to any side and there is no sound.
The difference in the paths of the waves must equal either an integer number of half wavelengths for constructive interference or a semi-integer number for destructive interference for interference to occur since sound waves are longitudinal waves that can do so.
Δd = 2n λ/2 constructive interference
Δd = (2n + ½) λ/2 destructive interference
Where n is an integer
Since the two distances are equivalent and the interference is always constructive at this point, there is no difference in the road.
Let's calculate the wavelength with the relationship
v = λ f
λ = v / f
λ = 344/641
λ = 0.537 m
We place the expression for the first destructive interference (no sound)
n = 1
Δd = (2 1 + ½) 0.537
Δd = 1.3425 m
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Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 641Hz . You are standing between the speakers, along the line connecting them and are at a point of constructive interference.
How far must you walk toward speaker B to move to reach the first point of destructive interference?
Take the speed of sound to be 344 .
a ball with mass $m$, radius $r \ll r$, and moment of inertia $\beta mr^2$ rests on top of a fixed sphere of radius $r$. a small nudge is given to the ball, and the ball rolls without slipping down the side of the sphere. at what height $h$ above the center of the sphere does the ball lose contact with the sphere?
The height h at which the ball loses contact with the sphere is [tex]$h = \frac{r}{2} \left( 1 + \frac{r^2}{2\beta} \right)$[/tex]
The height h at which the ball loses contact with the sphere can be calculated using the conservation of energy. At the highest point of its motion, the total mechanical energy of the ball consists of its potential energy mgh and its rotational energy [tex]$\frac{1}{2} \beta \omega^2$[/tex], where g is the acceleration due to gravity, h is the height above the center of the sphere, and [tex]$\omega$[/tex] is the angular velocity of the ball.
At the point of loss of contact, the rotational energy is converted into kinetic energy, and the ball begins to fall freely. Setting the initial and final total mechanical energy equal and solving for h, we find that [tex]$h = \frac{r}{2} \left( 1 + \frac{r^2}{2\beta} \right)$[/tex]
Thus, the height at which the ball loses contact with the sphere depends on the radius of the sphere, the mass of the ball, and its moment of inertia.
Complete question:
Imagine a ball of mass m is placed on top of a larger sphere with a radius r. When a small force is applied to the ball, it starts rolling down the side of the larger sphere without slipping. The question is, at what height h above the center of the larger sphere will the ball stop rolling and lose contact with the sphere?
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What volume of water has the same mass as 8.0 m3 of ethyl alcohol?b. If this volume of water is in a cubic tank, what is the pressure at the bottom?
a) Volume is 6.312 m3
b) Pressure is 18 kPa
The volume of the water is 6.312 m³.
The pressure at the bottom is 18 kPa.
What is density?The substance's mass per unit of volume is known as its density (volumetric mass density or specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is ρ (the lower case Greek letter rho).
The volume of the water is = {(8.0)/density of ethyl alcohol} × density of water
= 6.312 m³
If this volume of water is in a cubic tank, the pressure at the bottom =
∛(6.312) × 9.8 × 1000 Pa
= 18 kPa.
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if you push on a friend who is moving away from you, how will the force you exert on your friend compare to the force your friend exerts on you?
If we push other person with a force, he or she can exerts an equal and opposite force. If the force is unbalanced, then the displacement will occur in the direction of greater force.
What is force?Force is an external agent acting on a body to change its motion or to deform it. The net force acting on a body depends on the magnitude and direction of all the forces acting on it.
According to Newton's third law of motion for every action there is an equal and opposite reaction. Therefore, the force exerted on anything is accompanied by an equal and opposite force.
If we push another person with a force, then the they can exerts an equal force in opposite direction. If the force in any direction dominates, the displacement occurs in that direction.
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a flea jumps straight up to a maximum height of 0.350 mm . what is its initial velocity v0v0v 0 as it leaves the ground?
The initial velocity of the flea when it leaves the ground is roughly 0.083 m/s.
What is velocity?The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. The velocity of an object is the rate at which its location changes in relation to a frame of reference and is a function of time. Velocity is similar to a speed and direction of motion specification (e.g., 60 km/hr to the north).
Here,
To calculate the initial velocity of the flea as it leaves the ground, we need to use the equation of motion for vertical motion:
v₀ = √(2gh)
where:
v₀ is the initial velocity
g is acceleration due to gravity (approximately 9.8 m/s²)
h is the maximum height (0.350 mm, or 0.00035 m)
So, the initial velocity would be:
v₀ = √(2 * 9.8 * 0.00035) = √(0.00693) = 0.083 m/s
The flea's initial velocity as it leaves the ground is approximately 0.083 m/s.
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in terms of g , what is the y-component of the ball's acceleration when its speed is half its terminal speed value and it is moving up?
The y-component of the ball's acceleration when its speed is half its terminal speed value and it is moving up is -g (gravity).
What is half terminal speed?
Half terminal speed refers to the speed of a falling object when it is half of its terminal speed. Terminal speed is the maximum speed that a freely falling object reaches as it falls through a fluid or gas, such as air, due to the drag force acting on the object. The drag force opposes the motion of the object and slows it down until it reaches its terminal speed.
Half terminal speed occurs when the object has fallen far enough that it has reached half of its terminal speed value. The exact value of the half terminal speed will depend on the object's mass, cross-sectional area, drag coefficient, and the density of the fluid or gas through which it is falling.
Calculation of y-component of theacceleration while half its terminal speed value:
The y-component of the acceleration of a ball moving upward can be determined using the equation of motion, which states that the acceleration of an object is equal to the net force acting on the object divided by its mass.
The net force acting on the ball when its speed is half its terminal speed value can be represented as:
[tex]F_net = m * g - C * (V_t / 2)^2[/tex]
where C is a constant of proportionality that depends on the drag coefficient and the cross-sectional area of the ball. The negative sign indicates that the drag force acts upward, in the opposite direction to gravity.
Therefore, the y-component of the acceleration of the ball when its speed is half its terminal speed value and it is moving up is:
[tex]a_y = F_net / m = (m * g - C * (V_t / 2)^2) / m = g - (C * (V_t / 2)^2) / m.[/tex]
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a car on a circular track with a radius of 0.30 km accelerates form rest with a constant angular acceleration of magnitude 4.5 x 10-3 rad/s2. (a) how long does it take the car to make one lap around the track? (b) what is the total (vector) acceleration of the car when it has completed half a lap?
The Centripetal acceleration is 8.47m/s^2 and tangential acceleration is 1.35m/s^2. The mass of the car is not given.
(a) Centripetal: 8.47m/s^2, tangential: 1.35m/s^2
The radius of the track (which is the distance of the car from the centre of the circular path) is
r = 0.30 km = 300 m
The angular acceleration is
a = 4.5 . 10^-3rad/s^3
We can find the angular velocity of the car after half of a lap using the equivalent of the SUVAT equation for rotational motions:
W^2j – w^2i = 2 a Theta
where
wi = 0 since the car starts from rest
theta = pi is the angular displacement after half a lap
Solving for wf ,
ωf = √2[tex]\alpha[/tex]Ф√2(4.5-10-3)([tex]\pi[/tex]) = 0.168rad/s
Now we can find the centripetal acceleration with the formula:
at = [tex]\alpha[/tex]r =(4.5 10^-3)(300)=1.35m/s2
while the tangential acceleration is simply given by
ac= ω^2r = (0.168)^2(300) = 8.47m/s2
(b) The mass of the car is not given, so it is not possible to find the forces.
In mechanics, acceleration is the price of change of the rate of an item with admire to time. Accelerations are vector quantities (in that they have significance and path). The orientation of an item's acceleration is given by the orientation of the net pressure performing on that object. The magnitude of an item's acceleration, as described through Newton's 2d law, is the blended impact of two causes:
The internet balance of all external forces performing onto that item — importance is at once proportional to this net resulting force;
That object's mass, relying at the substances out of which it's miles made — magnitude is inversely proportional to the item's mass.
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Complete Question: -
A car on a circular track accelerates from rest. The radius of the track is 0.30km and the magnitude of the constant angular acceleration is 4.5 x 10-3 rad/s2. (a) Find the centripetal and tangential
acceleration of the car when it has completed half of a lap. (b) Find the centripetal and tangential forces.
static electricity can produce electrostatic discharge sufficient to detonate an explosive. identify a source of static electricity. select one: a. exhaust fumes from an operating piece of equipment b. a static discharge emanating from improperly grounded equipment c. microwaves emanating from an operating microwave oven d. a static discharge from an electrical panel
Static electricity produce electrostatic discharge sufficient to detonate explosive. identify a source of static electricity: d. static discharge from an electrical panel.
What do you understand by static electricity?An imbalance of electric charges within or on the surface of a material or between materials is called static electricity. Charge remains until it is able to move away by the means of electric current or electrical discharge.
When two objects made up of different materials come in contact with each other, electrons can transfer between them. The more prolonged contact, more electrons move hence creating an imbalance of charges.
Static buildup consists of three major types: Contact Static Buildup, Frictional Static Buildup. and Detachment Static Buildup.
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g an airplane flies due north at 150 km/hr relative to the air. there is a wind blowing at 75 km/hr to the east relative to the ground. what is the plane's speed relative to the ground?
The plane's (flies due north at 150 km/hr relative to the air. there is a wind blowing at 75 km/hr to the east relative to the grounds) speed relative to the ground = 170 km/hr
A quantity or phenomenon with independent properties for both magnitude and direction is called a vector. To determine the plane's speed, we can use the vector equation.
v = (v₁² + v₂²)[tex]^{1/2}[/tex]
Where,
v = The velocity (m/s)
v₁ = The velocity (to north)
v₂ = The velocity (to east)
Hence,
v = {(150 km/hr)² + (75 km/hr)²}[tex]^{1/2}[/tex]
= 170 km/hr
So, the plane's speed relative to the ground = 170 km/hr
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a window washer is standing on a scaffold supported by a vertical rope at each end. the scaffold weighs 194 n and is 3.15 m long. assume the 883 n worker stands 1.28 m from one end of the scaffold. what is the force on the rope farther from the worker? answer in units of n. answer in units of n.
The force on the rope farther from the worker is 366.77 N.
The force on each rope can be calculated using the equation for tension, which states that the tension in a rope is equal to the weight of the object it is supporting (in this case, the scaffold and the worker) divided by the number of ropes supporting it.
The total weight of the scaffold and the worker is 883 N + 194 N = 1077 N.
Since there are two ropes, each rope must support half of this weight, or 1077 N / 2 = 538.5 N.
However, since the worker is not standing directly in the center of the scaffold, their weight creates a torque on the scaffold that must also be supported by the ropes. The torque created by the worker's weight can be calculated using the equation:
Torque = force * distance from pivot where,
the force is the weight of the worker (883 N) the distance from the pivot is the distance from the worker to the end of the scaffold (1.28 m).So the torque created by the worker is:
838 N * 1.28 m = 1087.84 N * m
This torque is supported by both ropes, so each rope must support half of the torque:
1087.84 N * m / 2 = 543.92 N * m
Finally, we can find the force on each rope by combining the tension and the torque:
Force on rope = tension + torque/distance from pivot
where the distance from the pivot is the length of the scaffold (3.15 m).
For the rope closer to the worker, the force is:
538.5 N + (543.92 N * m) / 3.15 m
= 538.5 N + 171.73 N
= 710.23 N
And for the rope farther from the worker, the force is:
538.5 N - (543.92 N * m) / 3.15 m
= 538.5 N - 171.73 N
= 366.77 N
So, the force on the rope farther from the worker is 366.77 N.
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what is the force generated by a source external to the body (e.g., gravity, inertia, friction) that acts contrary to muscle force?
The force generated by a source external to the body (e.g., gravity, inertia, friction) that acts contrary to muscle force is known as resistive force.
A force that inhibits or opposes the motion of an item is referred to as a resistive force. It has an effect in the opposite direction of any motion or external force that is acting on the object in an attempt to move it. Because it is neither active nor applied, and there does not appear to be any apparent agent of force, it is referred to as a passive phenomenon.
Friction is the most prevalent type of resistive force and describes the situation in which something is prevented from sliding across a surface. Another type of force that opposes motion is called fluid resistance. This occurs when an object is attempting to move through a fluid substance.
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Why is the microscopy slide shining a blue light? a) Phalloidin is excited by blue light analogous to DAPI b) The blue light has a longer wavelength than the green light; therefore, it excites the fluorophore c) The high energy blue light initiates the crosslinking of actin and phalloidin d) The green fluorescent dye attached to phalloidin is excited by blue light and emits green light
Phalloidin contains a green fluorescent dye that is stimulated by blue light and produces green light.
What is revealed by phalloidin staining?It is frequently employed in imaging applications to specifically mark F-actin in fixed cells, permeabilized cells, and cell-free investigations. Phalloidin is a bicyclic peptide that is a member of a family of poisons derived from the dangerous Amanita phalloides "death cap" mushroom.
What is the phalloidin's mode of action?The discovery of actin nuclei and short polymers in populations of G-actin treated with phalloidin without the addition of KCl further supports this effect of phalloidin. We, therefore, conclude that phalloidin regulates actin polymerization by stabilizing nuclei and polymers as they develop.
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a point charge 2q is located a short distance from a point charge 4q, and no other charges are present. if the electrical force on 2q is f, what is the electrical force on 4q?
A force around q is equivalent to the pressure on 4q in magnitude but acts in the opposite direction. As a result, since the force on q is F, the force upon 4q is -F.
Do electrical forces exist?Energy is the capacity to exert force on an object in order to move it. Electrical energy is produced by the motion of electric charges. The electric attractions and repel between charged particles serves as the force in the case of electric energy.
Is voltage a force of electricity?The electrical force known as voltage is what moves free electrons between atoms. Electrical current must be forced to flow in the same way that water is forced through a conduit. The unit of "electric pressure" that induces current flow is "volts."
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which of the following is not true of sunspots? which of the following is not true of sunspots? sunspots are surface disturbances caused by magnetic storms. sunspots can be up to 12 times larger than earth. sunspots can produce flares and prominences. more sunspots indicate increased solar radiation. sunspots are brighter than the rest of the sun's surface.
The statement "Sunspots are brighter than the rest of the sun's surface" is false.
What is magnet?Magnetism is a physical quality mediated by a magnetic field that refers to the ability to create attracted and repulsive occurrences in other substances. Magnetism is the force that magnets exert when they attract or repel one another. The movement of electric charges causes magnetism. Every material is composed of microscopic components known as atoms. Each atom contains electrons, which are charged particles. Magnetism is caused by attraction when two items are brought together or repulsion when two objects are moved apart. A magnet is an item with magnetic qualities. A magnet, for example, may attract another thing.
Here,
Sunspots are really darker than the surrounding photosphere, and thus appear as black spots on the sun's surface. This is because large magnetic fields are concentrated in these areas, inhibiting convection and cooling the surface.
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Which spherical Gaussian surface
has the larger electric flux?
A. Surface A
B. Surface B
C. They have the same flux.
D. Not enough information to tell.
The above statement indicates that surface B has a greater electric flux.
What is the same as an electric flux?The charge encapsulated divided more by permittivity is equal to the total electric flux from a closed surface. The electric field is multiplied by the surface area reflected in a plane parallel to the field to get the electric flux across a region.
Electric flux = charges / e₀
We may infer from the relationship above that the charge contained either by closed surface is precisely proportional to the electric flow. It is independent of the surface's radius. Surface B thus has more flux.
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What is the maximum height a flea jumps straight up to?
Answer: 20cm
Explanation:
assuming all the values given are exact, what is emmy's velocity at a time of 3.23 s ? enter your answer to at least three significant digits.
Velocity of Emmy at time of 3.49 s is calculated to be as -8.47 m/s.
What is velocity?Velocity defines the direction of movement of the body or any object.
Given, initial velocity of Emmy, u = 2 m/s
acceleration at time , 3.0 s is -3 m/s²
acceleration at time, 4.0 s is -3 m/s²
Acceleration at time of 3.49 s must be -3 m/s², as the acceleration is constant from 3.0 s to 4.0 s.
Velocity of Emmy at time 3.49 s can be calculated as ;
v= u +at
a is the acceleration of Emmy at time-- 3.49 s
u is initial velocity of Emmy
v is final velocity of Emmy at time -- 3.49s
v= 2 + ( -3 * 3.49)
v = -8.47 m/s
Hence, velocity of Emmy at time , 3.49 is -8.47 m/s
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Note: The question given on the portal is incomplete. Here is the complete question,
Question: Emmy is standing on a moving sidewalk that moves at +2 m/s. Suddenly, she realizes she might miss her flight, so begins to speed up, but then she hears over the PA system that her flight is delayed. Emily's acceleration during the 5 s time period in which all of the events occur is shown in the acceleration versus time graph. In the velocity versus time graph, construct a plot of Emmy's velocity over this same time period. Assuming all the values given are exact, what is Emmy's velocity at a time of 3.49s? Enter your answer to at least three significant digits.
1.how much force must be applied by a soccer player to give a stationary 0.45 kg ball an acceleration of 20m/s2 and why?
To achieve an acceleration of 20 m/s², a force of 9 N must be applied to the ball. This is due to Newton's second law, which states that force applied to an object equals mass multiplied by acceleration.
What is force?A force is an effect in physics that may modify the velocity of an item. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force may be characterized as a push or a pull. A force is a vector quantity since it has both magnitude and direction. A mass object's velocity changes when it is pushed or pulled. Force is an external agent that may change the condition of rest or motion of a body. It has a magnitude as well as a direction.
Here,
The force required to accelerate a 0.45 kg ball at 20 m/s^2 can be calculated using Newton's second law of motion:
F = m * a
where F is the force, m is the mass of the ball (0.45 kg), and a is the acceleration (20 m/s²).
F = 0.45 kg * 20 m/s² = 9 N
So, a force of 9 N must be applied to the ball to give it an acceleration of 20 m/s². This is because Newton's second law states that the force applied to an object is equal to its mass multiplied by its acceleration.
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Why do we have to start with the lowest magnification?
In order to make it simpler to align the slide and lens, the lowest magnification is chosen.
Magnification of a Microscope:A microscope's ability to produce a picture of an object at a scale that is larger (or even smaller) than its real size is known as magnification. Only when it is feasible to observe more details of an object in the image than when observing the object with the unaided eye can magnification serve a beneficial purpose.
Now for the given question,
We use lowest magnification because using the lowest magnification means that the specimen is far enough away from the lens in comparison to the higher magnification lenses, offering the widest field of visible range. Starting with the lowest magnification, makes it simpler to find, center, and focus in on the specimen. It is also simpler to use the fine focus knob on the side of the microscope to focus on the specimen once it is visible at this magnification.
Additionally, the stage can be raised higher to bring the sample up closer to the eye piece by using the lowest magnification and thus shorter lens. A steady increase in magnification might offer a clearer view and a closer look at the specimen once it is in view.
The specimen needs to be carefully recentered and refocused when the magnification is increased. The challenge of utilizing these lenses is needing to "hunt" or reposition the specimen in the proper line of sight because the field of vision gets smaller and smaller with each increase.
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a small object a, electrically charged, creates an electric field. at a point p located 0.250 m directly north of a, the field has a value of 40.0 n/c directed to the south.
A force of 40.0 N/C is applied to a positively charged test particle positioned at point "p" if a tiny, electrically charged item "a" generates an electric field with a value of 40.0 N/C directed south at point "p" situated 0.250 m directly north of "a."
What exactly is a "electric field"?When there is charge present in whatever form, every point in space has a corresponding electric field. E is a mathematical constant that expresses the strength and direction of an electric field. It is sometimes referred to as electric field strength, electric field intensity, or simply the electric field. An electric field is a type of physical field that contains electrically charged particles that act to either attract or repel other charged particles inside the field (or E-field). It also describes the particle system's physical surroundings.
Electric field: where is it?A property of an electric field known as electric flux can be thought of as the number of electric lines with force (or electric field lines) that span a given area. Electric field lines are assumed to have positive electric charges at their beginnings and negative electric charges at their ends. The term "electric field" refers to the physical field that contains electrically charged particles and acts to either attract or repel all other charged particles inside the field (or E-field). It also describes the particle system's physical surroundings.
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Complete question -
A small object A, electrically charged, creates an electric field. At a point P located 0.250 m directly north of A, the field has a value of 40.0 N/C directed to the south.
What is the charge of object A?
consider a copper rod that is 3.14 meters long, 2 cm in diameter, and has an electrical resistivity of 2x10-4 ohm-cm. what is the electrical resistance of the rod?
The electrical resistance of a copper rod can be calculated using the formula:
R = ρ * L / A
Where:
R is the resistance
ρ is the electrical resistivity of the material (2 x 10^-4 ohm-cm)
L is the length of the rod (3.14 m)
A is the cross-sectional area of the rod (pi * r^2, where r is the radius)
First, we need to convert the diameter to the radius (r = d / 2):
r = 2 cm / 2 = 1 cm
Next, we convert the radius to meters:
r = 1 cm * 0.01 m/cm = 0.01 m
Now we can find the cross-sectional area:
A = pi * r^2 = pi * 0.01^2 = 0.0001 * pi = 0.000157 m^2
Finally, we can find the resistance:
R = ρ * L / A = (2 x 10^-4 ohm-cm) * (3.14 m) / (0.000157 m^2) = 0.4374 ohms
The electrical resistance of the copper rod is 0.4374 ohms.
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of the following, which consists of electro-magnetic waves with the shortest wavelength? a. a beam of green light b. tv transmissions bringing us monday night football c. the sound of the instructor's voice d. the waves of a dental x-ray e. the rays that tan a sunbather on the beach
The highest energy, shortest wavelengths, and highest frequency are found in gamma rays.
What is the wavelength of the shortest gamma ray?Gamma radiation, which do have wavelength of 10e-6 meters or fewer, are the shortest waves. Radio waves, which do have wavelength of many kilometers, are the longest waves. The limited region of the visible range, from 0.4 micron (blue) to 0.7 microns, makes up the visible spectrum (red).
What has a wavelength that is quite short?Very, extremely short wavelengths characterize light waves. While purple and blue light even have shorter wave with wavelength around 400 or 500 nanometers (nm), red light wavelengths have wavelength about 700 nm.
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a horizontal clothesline is tied between 2 poles, 12 meters apart. when a mass of 3 kilograms is tied to the middle of the clothesline, it sags a distance of 3 meters. what is the magnitude of the tension on the ends of the clothesline?
The magnitude of the tension on the ends of the clothes line is 33.4N when it is tied between 2 poles, 12 meters apart.
Given the distance between two cloth poles (d) = 12m
Mass of object (m) = 3kg
The mass is tied at the middle of the cloths line.
The distance the mass sages (s) = 3m
Let the angle made by the mass on cloths line = θ
We know that tan θ = (6/3) since mass is at middle
θ = tan^-(2) = 63.4°
Let the magnitude of tension on the ends of cloths line = T
such that: mg = 2Tcosθ where g is gravitational acceleration.
T = 3 x 9.8 / 2 x cos 63.4° = 29.4/2 x 0.44 = 33.4N
Hence the tension required at the ends of cloths line is 33.4N
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a mass of 10-g of oxygen fills a weighted piston/cylinder device at 20 kpa and 100oc. the device is now cooled until the temperature is 0oc. determine the change in volume of the device during this cooling
The change in volume of the device during this cooling is calculated to be -0.013 m^3.
What is pressure?Force that is applied perpendicular to surface of any object per unit area over which force is distributed is called as pressure .
Pressure remain constant for weighted piston cylinder
So, P1 =P2
We know gas constant ,R = 259.81 j/Kg- K = 0.2598 kJ/kg K
Given, m1 =m2 = 0.01 kg; P1 = 20kPa; T1 = 100 degree C = 373 K
and T2 = 0 degree C= 273 K
As we know, P1V1 =m RT1
So, V1= m RT1/P1
= 0.01 * 2.598 *373/20
V1 = 0.0484 m3
As, P2V2 =m RT2
V2= m RT2/ P2
V2 = 0.01 * 2.598 *273/20
So, V2 = 0.0.3546 m3
Now, ΔV = V2 - V1
= 0.0354 - 0.0484
= -0.013 m3
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What is it called when two or more bodies orbit at multiples of the same orbital period?
Orbital resonance,called when two or more bodies orbit at multiples of the same orbital period.
In celestial mechanics, an orbital resonance is when two orbiting bodies exert a regular, periodic gravitational impact on one another. This frequently occurs as a result of the two bodies' orbital periods being related by a ratio of two tiny integers.The gravitational influence of the bodies is significantly strengthened by orbital resonances. The majority of the time, this causes an unstable interaction in which the bodies trade momentum and modify their orbits until the resonance vanishes. A resonant system may occasionally be robust and self-correcting, allowing the bodies to stay in resonance. Examples include the 2:3 resonance between Pluto and Neptune and the 1:2:4 resonance of the Jupiter's moons Ganymede, Europa, and Io. Gaps in Saturn's rings are caused by unstable resonances with its inner moons.
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Finding the charge: Two spheres 6.0 units apart, attract each other with a force of 3 x 10 9 N. Determine them magnitude of the charge on one sphere if the other sphere has a charge of 9 E-8.
faraday cup, and then measure the charge at various points on and in the cup. what do we find, and why
The charge at various locations on and inside the Faraday cup will vary depending on the material used to make it.
The charge will be equally distributed around the cup if it is constructed of a conductive material, such as copper, because the current will flow across the entire surface of the cup. The charge will, however, concentrate on the surface of the cup if it is constructed of an insulating substance like plastic since the current cannot pass through the insulating material. This is so that the current can only flow on the cup's exterior since the Faraday cup serves as a shield against electric fields.
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What force besides gravity controls the orbit of a planet or moon?
The gravitational force from the sun controls the orbit of the moon and the planet besides gravity.
Anything in the universe if has mass, then it is tends to have some gravitational interaction with other objects having some mass.
The moon and the planet interact with each other due to the gravity of the planet. Beside this gravity, one more force that is responsible is the gravitational force due to the sun.
The gravitational force of the sun makes the earth rotate around the sun, and it indeed result in the rotation of the moon around the planet.
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ignoring air resistance, should he direct his thrown upward and toward the front of the car (throw 1), straight outward (throw 2), or outward and toward the back of the car (throw 3)?
To determine the best throw for a ball that will land on the roof of a moving car, ignoring air resistance, we need to consider the relative velocities of the ball and the car.
In throw 1, the ball is thrown upward and toward the front of the car. The ball will have a vertical component of velocity that will cause it to move higher, but the horizontal component of velocity will be in the direction of the motion of the car. This will make it more difficult for the ball to land on the roof of the moving car.
In throw 2, the ball is thrown straight outward. The horizontal component of velocity will be perpendicular to the direction of motion of the car, making it easier for the ball to land on the roof. However, the ball will not have a vertical component of velocity to compensate for the height of the car, which may make it more difficult to reach the roof.
In throw 3, the ball is thrown outward and toward the back of the car. The horizontal component of velocity will be in the opposite direction of the motion of the car, which will make it easier for the ball to land on the roof. However, like throw 1, the vertical component of velocity will be in the opposite direction of the roof, which may make it more difficult to reach the roof.
In general, it is likely that throw 2, a straight outward throw, will be the best option for landing the ball on the roof of the moving car, as it combines a horizontal component of velocity perpendicular to the direction of the car's motion with a lack of a vertical component of velocity that could work against the goal of landing on the roof. However, the exact results will depend on the specific speeds and distances involved.
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