The force exerted by the water on the wall will be equal to 160 N. Newton's third law of motion is seen taking place here.
How is force exerted by the water on the wall calculated?The force exerted by the water on the wall is calculated using the impulse-momentum principle. The principle states that the change in momentum of an object is equal to the impulse, or the force applied over a certain period of time. In this case, the change in momentum is equal to the initial momentum of the water (mass flow rate multiplied by velocity) minus the final momentum of the water (mass flow rate multiplied by final velocity) and the time is assumed to be very small.
What assumptions were made in the calculation of force exerted by the water on the wall?The assumptions made in the calculation of force exerted by the water on the wall are:
The water hits the garage instantaneously.
The water flow rate is constant and no water is lost during the impact.
The water hits the garage uniformly over the entire area and not just at one point.
The garage door is not moving before the impact. These assumptions are made to simplify the calculation and to make it more accurate. It is important to note that in real-world scenarios, these assumptions may not always hold true and the force exerted by the water on the wall may be different.
How do you calculate the force exerted by water on the wall?Force exerted by the wall on the water, F = dP/dt
= (P2 - P1)/dt
= dm*(V2 - V1)/dt
= (V2 - V1) x dm/dt
= (0 - 16) x 10
= -160 N (negative sign indicates force opposes the motion)
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a ball is launched from a cliff 50 m high with a velocity of 25 m/sec at 37o above the horizontal. how fast will it be moving when it hits the ground?
The 15.04 m/s fast will it be moving when it hits the ground.
What is velocity ?An object's velocity is a key factor in determining its position and rate of motion. It is comprehensible as the distance an object moves in a single interval of time. The term "velocity" describes how far an object travels in a predetermined length of time.
What is mass ?Measuring inertia, a property of all stuff that cannot be changed. What a body of matter is in essence is the resistance it provides to a change in its speed or location brought about by the application of a force.
The vertical component of velocity is given by
usinθ
Here,u=25m/s and θ=37°
So,vertical component will be 25sin37°
And on further solving it would be 15.04 m/s.
Therefore, 15.04 m/s fast will it be moving when it hits the ground.
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006 10.0 points
The speed of a moving bullet can be determined by allowing the bullet to pass through
two rotating paper disks mounted a distance 92 cm apart on the same axle. From the angular displacement 40° of the two bullet holes in the disks and the rotational speed
1396 rev/min of the disks, we can determine the speed of the bullet.
What is the speed of the bullet?
Answer in units of m/s.
The speed of bullet is 31.72 m/s.
First use the angular displacement to find the time.
Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.
Δθ = ω t
40° × (1 rev / 360°) = 1396 rev/min × (1 min / 60 s) t
t = 0.029s
Now use the distance to find the speed.
v = Δx / t
v = 0.92 m / 0.029s
v = 31.72 m/s
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a roller-coaster's largest drop is 50.0 meters. assuming it starts from rest, what is the speed of the car (in m/s) at the bottom of this drop?
The speed of the car at the bottom of the drop is 980 m/s. The result is obtained by using the concept of conservation of mechanical energy.
What is law of conservation of energy?The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."
In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E₁ = mechanical energy at point 1E₂ = mechanical energy at point 2m = mass of an objectv₁ = velocity of object at point 1v₂ = velocity of object at point 2h₁ = height of object at point 1h₂ = height of object at point 2A roller coaster's largest drop is 50.0 m starts from the rest. Find the speed at the bottom of that drop!
The case is similar to an object falling down without initial speed.
We have
h₁ = 50.0 mv₁ = 0At the bottom of the drop, the height is zero. So, h₂ = 0.
The speed of the car at the bottom would be
½mv₁ + mgh₁ = ½mv₂ + mgh₂
0 + 9.8(50) = ½v₂ + 0
490 = ½v₂
v₂ = 490 × 2
v₂ = 980 m/s
Hence, at the bottom of the drop, the speed of the car is 980 m/s.
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A large pendulum (4.0 kg) is moving at 2.0 m/s and has mechanical energy of 68.0 J. What is the height of the pendulum in meters?
Answer:
Explanation:
m = 4.0 kg
v = 2.0 m/s
g = 10 m/s²
Mechanical energy of the pendulum = 68.0 J
Mechanical energy of the pendulum = Potential energy of the pendulum + Kinetic energy of the pendulum
mgh + 1/2 mv² = 68
4 × 10 × h + 1/2 × 4 × 2 × 2 = 68
40 h + 8 = 68
40 h = 68-8
40 h = 60
h = 60 / 40
h = 3/2 m
h = 1.5 m
Help Needed
A crowbar is moved 0.555 m down by a force of 200.0 N, at a distance of 0.890 m from the pivot point. The short end of the crowbar is underneath a strong lacrosse and weightlifting athlete, Harry Croy. Harry is raised 0.111 m and has a weight of 800.0 N. How efficient is the moving of Harry?
The efficiency of the moving of Harry can be calculated by dividing the work done by the energy used. The work done is the force times the distance, or 200 N x 0.555 m = 111 Nm.
What is efficiency?Efficiency is the ability to achieve a desired result with the least amount of effort, time, and resources. It is a measure of how well an organization, process, or system uses resources to produce a desired result. Efficiency is important in many aspects of life and work, as it helps to maximize resources and minimize costs.
In business, efficiency is often measured by comparing the output of a process to the resources used to produce it. For example, a business may measure the efficiency of its production process by looking at the ratio of the number of products produced compared to the amount of labor, materials, and energy used. Efficiency is also closely related to productivity, which is the ability to produce more output with the same or fewer resources. In general, efficiency is important for organizations to remain competitive and profitable.
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A penguin slides horizontally oof an ice shelf and land 5.00 meters its base in 1.20 sounds
1. The initial velocity of the penguin is 4.17 m/s
2. The height of the ice shelf is 7.056 m
1. How do I determine the initial velocity?The initial velocity of the penguin can be obatined as illustrated below:
Horizontal distance (s) = 5.00 metersTime taken (t) = 1.20 secondsInitial velocity (u) = ?s = ut
5 = u × 1.2
Divide both sides by 1.2
u = 5 / 1.2
u = 4.17 m/s
Thus, we can conclude that the initial velocity is 4.17 m/s
2. How do I determine the height of the ice shelf?The height of the ice shelf can be obtained as follow:
Time taken (t) = 1.2 secondsAcceleration due to gravity (g) = 9.8 m/s²Height of ice shelf (h) = ?h = ½gt²
h = ½ × 9.8 × 1.2²
h = 4.9 × 1.44
h = 7.056 m
Thus, we can conclude that the height of the ice shelf is 7.056 m
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Complete question:
A penguin slides horizontally off an ice shelf and land 5.00 meters from its base in 1.20 sounds
1. What is the initial velocity of the penguin?
2. What is the height of the ice shelf?
the allowed energies of a quantum system are 0.0 eV, 1.5 eV, 3.0 eV and 6.0 eV. How many different wavelengths appear in the emission spectrum
The emission spectrum of this system will contain four different wavelengths, corresponding to each of the allowed energies.
What is wavelentgh?Wavelength is a measure of the distance between two consecutive wave crests or troughs and is usually defined as the length of one full cycle of a wave. Wavelengths are typically measured in meters, centimeters, or nanometers (10-9 meters). Wavelength is inversely related to frequency, meaning that higher frequency waves have shorter wavelengths.
The wavelength of each energy level can be calculated using the equation λ = hc/E, where h is Planck's constant, c is the speed of light, and E is the energy level in electron volts. Using this equation, the four wavelengths of the emission spectrum are calculated as follows: 0.0 eV = 0.0 m, 1.5 eV = 8.0 x 10^-7 m, 3.0 eV = 4.0 x 10^-7 m and 6.0 eV = 2.0 x 10^-7 m. Thus, the emission spectrum of this system will contain four different wavelengths, which can be identified by their corresponding energy levels.
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find μs, the coefficient of static friction between the rod and the rails. A rail gun uses electromagnetic forces to accelerate a projectile to very high velocities The basic mechanism of acceleration is relatively simple and can be illustrated in the following example. A metal rod of mass 20.0 g and electrical resistance 0500 1 rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L = 800 cm apart. (Figure 1) The rails are also connected to a voltage source providing a voltage of V = 500 V. The rod is placed in a vertical magnetic field. The rod begins to slide when the field reaches the value B = 0.123 T . Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use 9.80 m/S^2 for the magnitude of the acceleration due to gravity.
The coefficient of static friction between the rod and the rails is 502.04.
What is the formula for static friction coefficient?The resistive force of friction (Fr), which pushes the objects together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula used, fr = Fr/N.
Given,
Mass of metal rod = 20.0 grams to kg = 0.02 kg
Resistance = 0.5 Ohms
Distance, L = 800 cm to m = 0.8 m
Voltage = 500 Volts
Magnetic flux, B = 0.123 Tesla
Use Gauss's law of magnetic field,
We would first measure the current passing through the rails,
Current = voltage/resistance
Current = 500/0.5
Current = 1000Amps.
The following formula describes the magnetic force acting on a current-carrying conductor,
Fm = BIL
Fm = 0.123×1000×0.8
Fm = 98.4N
The metal rod's limiting frictional force is given by,
Fr = µmg
Additionally, before the metal rod begins to move, the magnetic force must be equal to the limiting frictional force,
Fm = Fr
98.4 = µmg
98.4 = µ × 0.02×9.8
98.4 = µ× 0.196
µ = 98.4/0.196
µ = 502.04.
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1. suppose an mp air mass moving eastward from the pacific ocean travels across the united states. describe all of the modifications that could take place as this air mass moves eastward in winter.
Eastward moving air mass across the US in the winter may cool, pick up moisture and pollutants, and interact with other weather systems, leading to changes in temperature, humidity, precipitation and wind patterns.
As an air mass moves eastward from the Pacific Ocean across the United States in the winter, several modifications could take place. The air mass may cool as it moves over land, causing any moisture present to condense and potentially leading to precipitation.
Additionally, the air mass may pick up moisture from bodies of water such as lakes and rivers, increasing its humidity. As the air mass moves over different types of terrain and land cover, it may also pick up pollutants from human activities such as industrial emissions and automobile exhaust.
The air mass may also interact with other weather systems, such as cold fronts or high pressure systems, which could further modify its temperature, humidity, and wind patterns.
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A child is pushing a merry-go-round. The angle through which the merty-go-round has turned varies with time according to θ(t)-7t + 3 where γ = 0.367 rad/s and 140-10-2 rad/sCalculate the angular velocity of the merry-go-round as a function of time Express your answer in terms of the variables β, γ, and t. Part BWhat is the initial value of the angular velocity?Part CCalculate the instantaneous value of the angular velocty w, at t 550 rad/s Part DCalculate the average angular velocity wfor the time interval t = 0 to t = 5.50s
Now, 0.65 rad/s and 0.7 rad/s are different. Average angular velocity is defined as total displacement divided by total displacement time.
What is the straightforward meaning of velocity?
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
How do velocity and speed differ?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
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The initial value of the angular velocity is -6.633 rad/s. The instantaneous value of the angular velocity is -3.817 rad/s.
What is the simple definition of velocity?In terms of time, an object or particle's movement is expressed vectorially as velocity. The recognized measurement of velocity magnitude is the meter per second (m/s) (also known as speed).
Part A:
The angular velocity of the merry-go-round as a function of time is the derivative of the angle with respect to time.
Angular velocity, w(t) = dθ(t) / dt = -7 + 0.367
Part B:
The initial value of the angular velocity is the value of the angular velocity at t = 0.
w(0) = -7 + 0.367 = -6.633 rad/s
Part C:
To find the instantaneous value of the angular velocity at a specific time, we need to substitute that time into the angular velocity equation.
w(t) = -7 + 0.367t
w(5.50) = -7 + 0.367(5.50) = -3.817 rad/s
Part D:
To find the average angular velocity for a time interval, we can use the following formula:
average angular velocity = (final angle - initial angle) / (final time - initial time)
Given the time interval t = 0 to t = 5.50s,
average angular velocity = (θ(5.50s) - θ(0)) / (5.50s - 0s)
θ(t) = -7t + 3
average angular velocity = (-7*5.50 + 3 - 3)/5.50 = -7 rad/s
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what is the orbital period of a spacecraft in a low orbit near the surface of mars? assume the radius of the satellite's orbit is about the same as the radius of mars itself, rmars
The orbital period of a spacecraft in a low orbit near the surface of mars is found to be 5.9 x 10³ secs
How does satellite orbit work?A satellite's orbit is the name for the route it takes. The capacity and purpose of the sensor(s) that a satellite is carrying are matched to its orbit. Selection of an orbit can vary depending on its altitude (height above the Earth's surface), orientation, and rotation with respect to the Earth.
The free-fall acceleration ( g ) = 3.8 m/s²
Radius of the satellite orbit = Radius of Mars ( rMars ) = 3.37 * 10⁶
R ( radius ) = 3.37 * 10⁶
g = ω2 x R
=>ω = Sqrt (R/g)
T = 2π/ω
=> 2π/ sqrt(R/g)
T = 5.9 * 10³ secs
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Spacecraft have been sent to Mars in recent years. Mars is smaller than Earth and has correspondingly weaker surface gravity. On Mars, the free-fall acceleration is only 3.8m/s2 .What is the orbital period of a spacecraft in a low orbit near the surface of Mars? Assume the radius of the satellite's orbit is about the same as the radius of Mars itself, rMars = 3.37
a race car makes two laps around the track in 150 seconds (2.5 minutes). what is the car's average angular speed? group of answer choices 0.084 rad/s. 0.248 rad/s. 0.200 rad/s. 0.168 rad/s.
To calculate the average angular speed, we need to divide the angle of rotation (2π radians) by the total time (2.5 minutes). This gives us an angular speed of 0.200 rad/s.
What is average angular speed?Average angular speed is the average rate of change in angular position over a period of time. It is measured in radians per second (rad/s) or revolutions per minute (rpm). For example, if a wheel completes two revolutions in one minute, its average angular speed is 2π rad/s or 2 rpm. It is important to note that average angular speed is not the same as instantaneous angular speed, which is the rate of change at a single point in time.
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To calculate the average angular speed, we need to divide the angle of rotation (2π radians) by the total time 150 seconds (2.5 minutes). This gives us an angular speed of 0.084 rad/s.
What is average angular speed?Average angular speed is the average rate of change in angular position over a period of time. It is measured in radians per second (rad/s) or revolutions per minute (rpm). For example, if a wheel completes two revolutions in one minute, its average angular speed is 2π rad/s or 2 rpm. It is important to note that average angular speed is not the same as instantaneous angular speed, which is the rate of change at a single point in time.
θ = 2 x 2π = 12.56
t = 150 sec.
ω = Θ/t
ω = 12.56 / 150
ω = 0.084 rad/s
Correct option is: 0.084 rad/s.
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earth and jupiter both travel in a roughly circular orbit around teh sun. jupiter's orbit is approximately 5 times the radius of the earth's orbit. what is the approximate relationship between the centripetal acceleration of each planet?
The orbit of Jupiter has a radius that is roughly five times that of the earth. the centripetal acceleration of Jupiter will be (v^2 / 5r) which is 1/5th the acceleration of Earth.
What is the moon's net gravitational field as a result of the sun and Earth?zero
The intersection of the gravitational fields of the Sun, Earth, and Moon is known as the neutral point because it is where the combined gravitational pull of the three bodies is zero. About 80 times as much mass as the Moon is the Earth.
The centripetal acceleration of a planet in a circular orbit is given by the formula: a = v^2 / r, where a is the acceleration, v is the velocity of the planet, and r is the radius of the orbit. Since Jupiter's orbit is approximately 5 times the radius of Earth's orbit, the radius of Jupiter's orbit is 5r.
Since the velocity of both planets is roughly the same (as they both travel in roughly circular orbits around the Sun), the centripetal acceleration of Jupiter will be (v^2 / 5r) which is 1/5th the acceleration of Earth.
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what is the gauge pressure at a depth of 6 cm in a glass filled with 4 cm of mercury and 4 cm of water? water has a density of 1000 kg/m3, and mercury has a density 13.6 times as great.
h₂ = P/ρ₂g = 85299.2 Pa/(1000 kg/m³ × 9.8 m/s²) = 85299.2 Pa/9800 kg/m ²s² = 8.7 m
How does mercury become made?About 4.5 trillion years ago, gravity brought together spinning gas and debris to create Mercury, the small planet closest to the Sun. Mercury has a solid crust, a steep slope, and a central core, just like its sibling terrestrial planets.
Calculation
The pressure due to the mercury of height h = 64 cm = 0.64 m is
P = ρ₁gh₁ where ρ₁ = density of mercury = 13600 kg/m³
P = 13600 kg/m³ × 9.8 m/s² × 0.64 m = 85299.2 Pa
Since this is the same pressure for the water,
P = ρ₂gh₂ where ρ₂ = density of water = 1000 kg/m³ and h₂ = height of
water
h₂ = P/ρ₂g = 85299.2 Pa/(1000 kg/m³ × 9.8 m/s²) = 85299.2 Pa/9800 kg/m ²s² = 8.7 m
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a motor that does 24 000] of work in two minutes
The power of a motor that does 24 000 J of work in two minutes is 200 watts.
Give a brief account on Power?Power is the rate at which energy is transferred, used, or transformed. It is often measured in units of watts (W) or horsepower (hp). Power can also refer to the ability or capacity to do something, such as the power of a ruler to govern or the power of a machine to perform a specific task. In physics, power is defined as the amount of work done per unit of time.
The power output of that motor would be 24,000 joules per two minutes, or 12,000 joules per minute (24,000/2). To convert to watts, divide by the number of seconds per minute, which is 60. Therefore, the power output of the motor is 200 watts (12,000/60).
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The complete question is:
when a person abducts the shoulder to 90 degrees, then moves the arm backward, what is that motion called
When a person abducts the shoulder to 90 degrees, then moves the arm backward, that motion called horizontal abduction.
The transverse plane movement of the arms away from the body's midline is known as horizontal abduction. Consider lowering the pec fly as an example. Higher ball velocity has been linked to greater horizontal abduction during foot impact.
The movement of the arms across the body in a horizontal plane is known as horizontal abduction. Moving in the transverse plane, starting with the arms straight to the front (shoulders flexed at 90 degrees), and ending with the arms straight out to the side (flexed at 90 degrees).
Arm abduction is the coronal plane movement of the arm away from the midline of the body, and unilateral abduction is typically possible between 160° and 180°.
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Why does sexual harassment at school often go unreported?
1. The victim feels empowered.
2. The victim knows others who were harassed.
3. The victim fears that others will not believe the report.
4. The victim enjoys the offender’s attention.
Answer:
My answer is 3 because this happend to someone I know
Explanation:
A ball is thrown horizontally at 11.5 m/s from the top of a hill 45.2 m high. How far from the
base of the cliff does the ball hit the ground?
Vx = 11.5 m/s
h = 45.2 m
g = 9.8 m/s²
Vi.y = 0 m/s (Initial vertical velocity)
x - ?
Solution:
1. h = Vi.y • t + 1/2 • g • t²
Since Vi.y = 0, we will get: h = 1/2 • g • t²
t = sqrt(2h/g)
t = sqrt(2 • 45.2/9.8)
t = 9.22 sec
2. Vx = x/t
x = Vx • t
x = 11.5 • 9.22 = 106.03 meters
a potential divider circuit contains a light dependent resistor (ldr), a fixed resistor (r) and a fixed input voltage (vin). the amount of light falling on the ldr is gradually decreased. which statement correctly describes the changes in the resistance of the ldr and the potential difference across it (vout)?
Its resistance generated by the LDR rises as the light level drops.The voltage drop across the LDR also rises as a result of this resistance's growth relative to the other resistor's fixed resistance.
Why does LDR's resistance diminish with fall?The photo conductivity concept governs how a light-dependent resistor functions.Electrons become excited and escape the valance band to inhabit the conduction band when light, or photons, strike the material.Conduction band electrons raise conductivity and lower resistance.
What occurs to the LDR's resistance as the light intensity rises?The resistance of the LDR reduces as light intensity rises, which lowers the voltage differential across the LDR.
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A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the accompanying figure). The rope is attached to the bow of the boat at a point ft below the pulley. How fast must the rope be pulled if we want the boat to approach the dock at a rate of ft/min at the instant when ft of rope is out
The rate of rope pull must be ft/min in order for the boat to approach the dock at a rate of ft/min when ft of rope is out.
In order for the boat to approach the dock at a rate of ft/min when ft of rope is out, the rope must be pulled at a rate of ft/min.
This is because the rope will be pulled out of the pulley at the same rate that the boat is approaching the dock.
what is pulley?
A pulley is a simple machine consisting of a wheel with a groove in it for a rope or cable to run over.
It is used to change the direction of a force or to change the magnitude of a force. Pulleys are used to lift heavy objects and to transmit power in machines.
To calculate the rate of rope pull, we can use the formula speed = distance/time.
Therefore, speed = ft/min.
Therefore, The rate of rope pull must be ft/min in order for the boat to approach the dock at a rate of ft/min when ft of rope is out.
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g what is the velocity of the entangled cars after the collision in terms of masses m1 and m2, and the initial velocity of the second car?
The vehicles get twisted up. Before the collision, the second car was driving at a speed of v2.
What is a collision, exactly?A collision is a brief interface between individuals bodies or even more than 2 bodies at once that modifies the motion of the bodies involved as a result of internal forces acting between them. The forces involved in collisions
What transpires in an accident?Both objects are accelerated by the equal-sized, opposite-directed forces that result from a collision. In collisions with objects of identical mass, all objects accelerate similarly.
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can there be a non-zero electric field at a point in space where no charged object is present? can there be an electric field equal to zero at a point where a charged object is present?
Yes, there can be a non-zero electric field at a point in space where no charged object is present. No, there cannot be an electric field equal to zero at a point where a charged object is present.
An electric field is defined as the force experienced per unit charge at a point in space. Even if there is no charged object present, an electric field can be present due to the presence of other charges in the surrounding area. For example, if there are charges present on a nearby conductor, the electric field can extend into the surrounding space.
On the other hand, it is not possible for an electric field to be equal to zero at a point where a charged object is present. The electric field is a measure of the force exerted on a test charge placed at that point, and a charged object exerts an electric force on other charges. Therefore, an electric field must be present at any point where a charged object is present.
The electric field can be zero at a certain point in space if there are no charges around that point or if the charges around that point balance each other out to create a net zero electric field.
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a coin is fixed in place on a turntable, 0.11 m from the axis of rotation. when the angular speed of the turntable reaches 36 revolutions per minute, the coin slides off. determine the coefficient of static friction between the coin and the turntable.
We have sg=v2/r v=2rf where f =36/60 s(9.8 m/s2)=(2*.11m*(35/60)) since the masses cancel when Ff =macsmg =mv2/r. 2/0.11m finds = .15 A coin falls off the turntable's static friction force with regard to coin.
What do you call friction?The force of friction is influenced by outside forces. The two elements that friction depends on are as follows: 1. Regarding the makeup of the contact objects in touch. The two sides that are in touch with one other's depend on each other for friction.
What makes friction popular?In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole.
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This position-time graph describes an object's motion. Use it to predict the time
(in s) that the object will be at a position of 20.0 meters.
Help please!
Answer:
18.9 seconds
Explanation:
See the attached worksheet. Since the desired information is outside the range of the graph, develop the equation of the line that is drawn. From that equation [y = (9/10)x+3] the time required to travel 20 meters is foind to be 18.9 seconds.
when a building load, or force, acts on a building component, such as a column, the component takes on an internal resistance to the force known as .
When a building load, or force, acts on a building component, such as a column, the component takes on an internal resistance to the force known as stress. .
What is stress?Stress is a measure of the internal resistance of a material to applied forces. It is calculated as the force per unit area. Stress can cause a building component to bend, stretch, or compress, and can ultimately lead to failure if the stress exceeds the material's strength.
What are the types of stress?There are two types of stress: tensile stress and compressive stress. Tensile stress is the stress that causes a material to stretch, while compressive stress causes a material to shrink or compress. Additionally, shear stress is a type of stress that causes a material to slide or deform along a plane, it's usually found in structures such as bridges, buildings, and towers.
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9. Two objects A and B move toward each other with speeds of 80 cm/s and 20 cm/s, respectively. The
mass of A is 140 g and that of B is 60 g. After a head-on, perfectly elastic collision, the speed of
object B is
8.0 cm/s
20 cm/s
92 cm/s
a.
b.
C.
d. 1.2 m/s
m₁
Hom
m2
hinnt of mass m= 4.0 kg by a compressed
After a head-on, perfectly elastic collision, the speed of object B is 1.2 m/s.
What is law of conservation of momentum?
According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
After a head-on, perfectly elastic collision, the speed of object B is
= - 20 {(60-140)/(60+140)} + 80 {(2×140/(140+60)}
= 120 cm/s
= 1.2 m/s.
Hence, the speed of object B is 1.2 m/s. Hence, option (d) is correct.
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two objects, with masses m1 and m2, attract each other with force f. if the mass of m1 increased by a factor of two then the new gravitational force would be:
The new gravitational force between them would be twice the initial gravitational force.
What is Newton's law of universal gravitation?Newton's law of universal gravitation states that the force of attraction between two object in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
Mathematically, the formula for Newton's law of universal gravitation is given as;
F = ( Gm₁m₂ ) / ( R² )
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectR is the distance between the two objectsG is universal gravitation constantWhen mass m1 of the two objects doubles, the new gravitational force will be calculated as;
F' = ( G x 2m₁ x m₂ ) / ( R² )
F' = 2( Gm₁m₂ ) / ( R² )
F' = 2F
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a person in a car during a sudden stop can experience potentially serious chest injuries if the combined force exerted by the seat belt and shoulder strap exceeds 16,000 n. describe what it would take to avoid injury by estimating (a) the minimum stopping time interval and (b) the corresponding stopping distance, assuming an initial speed of 16 m/s. indicate any other assumptions you made.
minimum time interval to stop should be = 0.08 seconds whereas the friction minimum stopping distance = 0.64 m.
Which four forms of friction are there?
The force that prevents one solid item from moving across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
What is frictional force, exactly?
Two surfaces that come into contact and glide against one another produce frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.
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Select the correct image.Mathew is simulating forces on a simple machine. He runs four tests as shown. Which test illustrates a balanced net force?
Test 4 illustrates a balanced net force as both the forces acting in opposite directions are equal in magnitude.
Net force is zero in image depicted by test 4. Thus, the forces acting in opposite direction, upward and downward, can be considered as balance forces. Equal in size and directed oppositely, balanced forces are those. One definition of equilibrium is a state of balanced forces. When the forces are in balance, there is no change in direction.
While balanced forces can keep an object at rest or moving at a constant speed, unequal forces can cause objects to accelerate. We are brought back to remember the condition of weight in order to comprehend this as :
F = ma,
where the magnitude of Force is equal to the product of the mass and the acceleration due to gravity.
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Two small aluminum spheres, each having mass 0.0250 kg, are separated by 80.0 cm. Their radius is much smaller than their separation. How many electrons does each sphere contain? (The atomic mass of aluminum is 4.482 x 10-26 kg/atom, and its atomic number, the number of protons and electrons per atom, is 13.) How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude 1.00 x 104 N (roughly one ton)? Assume that the spheres may be treated as point charges. What fraction of all the electrons in each sphere does this represent?
How many electrons would have to be moved by one ball to the next in order to have a 1.00 x 104 N imbalance between them? 7.2 x 1010 is equal to fractional = n/ = (5.25 x 1015)/(72.8 x 1023).
What do you mean by magnitude?In terms of physics, magnitude is just "distance or quantity." It demonstrates the size, direction, and speed of an item in both relative and absolute terms. It's used to indicate the size or scope of something. In physics, the term "magnitude" often refers to the a size or amount.
Calculation
m = mass of each aluminium sphere = 0.0250 kg = 0.0250 x 1000 g = 25 g
M = atomic mass = 26.982 g/mol
n = number of moles
Number of moles is given as
n = m/M
n = 25/26.982
n = 0.93
N₀ = Avogadro's number = 6.023 x 10²³
N = number of atoms
Number of atoms is given as
N = n N₀
N = (0.93) (6.023 x 10²³) = 5.6 x 10²³ atoms
= number of electrons per atom = 13
= total number of electrons
Total number of electrons are given as
= N
= (13) (5.6 x 10²³)
= 72.8 x 10²³ electrons
b)
F = magnitude of electric force between the two spheres = 1 x 10⁴ N
r = distance between the spheres = 80 cm = 0.80 m
Q = magnitude of charge on each sphere = ?
Using Coulomb's law, force between the spheres is given as
F = k Q²/r²
inserting the values
1 x 10⁴ = (9 x 10⁹) Q²/(0.80)²
Q = 8.4 x 10⁻⁴ C
n = number of electrons removed
e = magnitude of charge on each electron
using the equation
Q = n e
8.4 x 10⁻⁴ = n (1.6 x 10⁻¹⁹)
n = 5.25 x 10¹⁵
c)
Fraction = n/ = (5.25 x 10¹⁵)/(72.8 x 10²³) = 7.2 x 10⁻¹⁰
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