Angular velocity (in rev/s) after a 15.0 kg child gets onto it by grabbing its outer edge is 1.575 rad/s.
The angular velocity of the merry-go-round after a child gets on it is equal to the angular velocity of the child plus the angular velocity of the merry-go-round.
The angular velocity of a rotating object can be calculated using a formula:
ω = ω + (m/r)
where ω is the original angular velocity, m is the mass of an object that's been added to it, r is its radius, and (m/r) is the change in mass divided by its radius. When we plug in our values for this problem, we get:
ω = 0.350 rad/s + ((15 kg)/(1.8 m)) rad/s
= 0.350 rad/s + 1.25 rad/s
= 1.575 rad/s
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a 280 g bird flying along at 6.0 m/s sees a 11 g insect heading straight toward it with a speed of 30 m/s. the bird opens its mouth wide and enjoys a nice lunch. what is the bird's speed immediately after swallowing?
The bird's speed immediately after swallowing is 6.91 m/s
The conservation of momentum states that, within a few problem domains, the quantity of momentum remains regular; momentum is neither created nor destroyed, but best modified through the movement of forces as described by means of Newton's laws of motion.
Calculation:-
Mass of bird m₁ = 280 g = 0.28 kg
velocity v₁ = 6 m/s
mass of insect m₂ = 11g = 0.011 kg
velocity = 30 m/s
applying conservation of momentum considering bird and insect as a close system
m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂ V
V = m₁v₁ + m₂v₂ /m₁ + m₂
= (0.28 × 6 + 0.011 × 30) / 0.28 +0.011
= (1.68 + 0.33) / 0.291
= 2.01 / 0.291
= 6.91 m/s
The regulation of conservation of momentum states that in an isolated machine the full momentum of or more bodies appearing upon each other stays regular except an outside force is applied. therefore, momentum can neither be created nor destroyed.
A 'closed device' is something that isn't laid low with outside forces. that is known as the principle of conservation of momentum. Momentum is conserved in collisions and explosions.
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A light, inextensible cord passes over a light,
frictionless pulley with a radius of 14 cm. It
has a(n) 14 kg mass on the left and a(n)
8.6 kg mass on the right, both hanging freely.
Initially their center of masses are a vertical
distance 1.9 m apart.
The acceleration of gravity is 9.8 m/s².
A light, inextensible cord passes over a light, frictionless pulley with a radius of 8.9 cm. It has a 19 kg mass on the left and a 2.6 kg mass on the right, both hanging freely. The rate at which the two masses are accelerating when they pass each other is 7.44 m/s². The tension in the cord is 44.84 N.
What is tension of wire ?
In physics, tension is the force exerted on one or more bodies by ropes, cords, cables, or similar bodies. Anything that is pulled, hung, supported, or swung by a rope, cord, cable, etc., is subject to tension. Like all forces, stress can accelerate or deform objects.
Using Newton's Law to the mass m₁
m₁ g - T = m₁ a
where;
the tension T = m₁ (g -a) ----- Let this be equation (1)
For mass m₂,
T - m₂ g = m₂ a ------- Let this be equation (2)
equation both equation (1) and (2) together;
By rearrangement and collecting like terms;
a(m₂ + m₁) = g(m₁ - m₂)
Making acceleration (a) the subject of the formula:
a = 7.44 m/s²
According to equation (1), the cord's tension is:
Tension (T) = m1 (g -a)
T = 19(9.8 - 7.44) (9.8 - 7.44)
T = 19(2.36) (2.36)
T = 44.84 N
From this we can conclude that the speed at which the two masses accelerate as they pass each other is 7.44 m/s² and the tension in the cord as they pass is 44.84 N.
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a car moving at 30 m/s backwards it completes this motion is 6/s. what is the acceleration of this car
The acceleration of this car is 5 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
initial velocity = 0 from rest
final velocity = 30 m/s
time = 6 sec
acceleration = rate of change of velocity
= 0 - (-30) /6
= 5 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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a laser dazzles the audience in a rock concert by emitting red light with a wavelength of 685 nmnm . calculate the frequency of the light.
Wavelength of 685 nmnm and the frequency of the light 0.43765322
What is the frequency of the light ?Light has a wavelength of 685 nm, which can alternatively be written as 685 x 10-9 m. Wavelength: [=]
We are aware that light travels at a speed of 299 792 458 m/s, or around 3 x 108 m/s. [light speed equals c]
We may use the following formula to determine the frequency (f) given the two values:
f = c / ʎ
replacing the specified values:
f = (685 x 10-9 m) / (3 x 108 m / s)
f = 0.43765322
The frequency of the light 0.43765322
The range of the frequency of visible light is roughly 400 to 700 THz. A Terahertz, or THz, is a frequency measurement equal to one trillion Hertz. the range of electromagnetic fields. f = (463 x 10-9 m) / (3 x 108 m / s)to learn more about frequency of the light refer to:
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what is the type of blood the contains antibody B and Rh
Answer:Blood type AB Rh+
Explanation:
a moth at about eye level is 16.4 cm in front of a plane mirror; you are behind the moth, 48.8 cm from the mirror. what is the distance between your eyes and the apparent position of the moth's image in the mirror?
The distance between the moth and its image in the mirror is equal to the distance between the moth and your eyes, which is equal to 43.7 centimeters.
The distance from the moth to its image is 16.4 cm, which is equal to 48.8 cm, because it's a plane mirror. So, if you want to know how far away from you the moth looks like it is, just subtract 48.8 cm (the distance between your eyes) from 16.4 cm (the distance between you and the moth).
The angle between these two objects is 48 degrees,
so S = 1/2 2 sin(48)
= 0.958 meters.
Moth + Mirror (dist1) + Me (dist2) = 48 * 0.958 = 43.7 centimeters
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lorry is moving with a uniform acceleration of 1.5ms2 .at a certain time it is travelling at a spedd of 6ms .calculate the speed of the lorry 4s later
The speed of the lorry 4 seconds later, given it was moving with uniform acceleration of 1.5 m/s² is 12 m/s
How do I determine the final speed of the lorry?We'll begin by listing out the various parameters obtained from the question. This is shown below:
Acceleration (a) = 1.5 m/s²Initial speed (u) = 6 m/sTime (t) = 4 secondsFinal speed (v) =?The final speed of the lorry can be obtained as follow:
a = (v - u) / t
1.5 = (v - 6) / 4
Cross multiply
v - 6 = 1.5 × 4
v - 6 = 6
Collect like terms
v = 6 + 6
v = 12 m/s
Thus, from the calculation made above, the final speed of the lorry is 12 m/s
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what is the minimum duration of the pulse if the minimum uncertainty in the energy of the photons is 1.0 % ?
If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is 1.6313×10⁻¹⁴ seconds.
How do you calculate a photon's energy?There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.
energy of the laser = h × c/λ
where h=Planck's constant-6.626×10⁻³⁴
c-speed of light = 3×10⁻⁸ m/s
λ = wavelength = 615 nm-615×10⁻⁹ m
energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J
then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J
from Heisenberg uncertainty principle:
uncertainty in energy × uncertainty in time > h/(4× π)
==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴
so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.
To know more about If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is 1.6313×10⁻¹⁴ seconds.
How do you calculate a photon's energy?There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.
energy of the laser=h × c/λ
where h=Planck's constant-6.626×10⁻³⁴
c-speed of light = 3×10⁻⁸ m/s
λ = wavelength = 615 nm-615×10⁻⁹ m
energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J
then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J
from Heisenberg uncertainty principle:
uncertainty in energy × uncertainty in time > h/(4× π)
==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴
so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.
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Which choice tells the main causes of convection currents in the asthenosphere? question 5 options: density and temperature temperature and pressure density and weight weight and pressure
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if the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
Static friction between the ladder and the ground has a coefficient of
[tex]\mu_{s}[/tex] = 0.303.
A measure of static friction.The maximum static friction force (F) that can exist between two surfaces before movement starts is divided by the normal force (N) to determine the coefficient of static friction.
x₁ = 8
x₂ = a₁
x₃ = x₁ cos θ
x₃ = 8 cos61 = 3.87m
x₄ = x₂cosθ = 9.1cos 61
x₄ = Lsin 60 = 16sin 60
[tex]x_{s}[/tex] = 13.856m
w₁ = mg = 840
w₂ = mg = 490
N₁ = mg + mg = 490+840 =1330N
N₂ = f = [tex]\mu_{s}[/tex]N₁
Torque about point is zero
[tex]\sum[/tex]Z = 0
mgx₃ +mgx₁ = N₂[tex]x_{s}[/tex]
N₂ = 490×387+840×4.41/13856
N₂ = 404.268
[tex]\mu_{s}[/tex] = N₂/N₁ = 404.268/1330 = 0.303
[tex]\mu_{s}[/tex] = 0.303
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AP physics 1: Extra points!!
Tension force, Friction and gravity are acting on acrobat player while hanging in middle. and this is unbalanced force.
Tension is a contact force that is transmitted through a rope, thread, wire, or other similar material when pressures on the opposing ends tug on it. The rope that holds a tire swing to a tree branch is one such example. The rope is pulled upward by a branch tugging against the rope's tug tension, which is only a pulling force; the rope is dragged downward by gravity. Pushing on a slack rope will not cause it to be strained. As a result, the force of tension must always be represented in the direction that the string is pulling the object in a free-body diagram.
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HELP! will mark brainliest
State your hypothesis. Make sure your hypothesis is worded as an if, then statement and relates the independent variable of wrong length to the dependent variable of wave frequency.
If I increases the string length, the frequency will decreases and vise versa.
What is frequency?In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.
For string wave, we know that,
frequency, n = [tex]\frac{1}{lD}[/tex][tex]\sqrt{\frac{T}{\pi \rho} }[/tex]
where, l = length of the string.
D = diameter.
T = tension
ρ = density of the material.
Hence, we can see that, frequency of the wave is inversely proportional to the length of the wire. So, on increasing string length, frequency of the wave will decreases.
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what two basic measurements are taken to test insulation resistance? i. the actual leakage current flowing through the insulation. ii. the actual leakage current flowing through the conductor. iii. the actual resistance of the insulation. iv. the actual resistance of the conductor.
The insulation tester, often known as a Megger, is a device used to assess insulation resistance. For measuring insulating resistance, we utilise the following devices.
What is insulation resistance?
The insulation resistance of wires, cables, and electrical equipment is measured in ohms. It is critical to protect against electric shocks and to avoid equipment damage caused by inadvertent discharges. The insulating resistance is measured by testing and evaluating the status of the isolation (head and body.)
Direct indicating ohm metre with hand-operated DC generator
With direct indicating ohm metre and motor-driven DC generator
Direct indicating ohm metre with DC battery
Direct indicating ohm metre with a full-wave rectifier
Resistance bridge circuit with galvanometer and battery
The insulating resistance is measured using direct current voltage. We can create the DC voltage using a hand-driven dc generator or a motorised dc generator. Insulation functions as a capacitor. If the insulation quality is excellent, the capacitor will block the DC. Leakage current flowing through insulation shows inadequate insulation quality.
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Calculate the average speed of a complete round trip in which the outgoing 300 km is covered at 97 km/h , followed by a 1.0- h lunch break, and the return 300 km is covered at 55 km/h .
The average speed of the complete round trip is 62.85 km/h.
The average speed is nothing but the total distance travelled per unit time.
or in other words,
Average speed = [tex]\frac{Total distance travelled}{total time taken}[/tex]
Now, Total distance travelled = 300km + 300 km = 600 km
and the time taken = t1 + t2 + t3
t1 = distance/speed
t1 = 300km/(97km/h)
t1 = 300/97 Hour = 3.0927 Hour
t2 = 1 Hour
and t3 = distance/speed
t3 = 300km/(55km/h)
t3 = 300/55 Hour = 5.4545 Hour
Total time = t1+t2+t3
T = 3.0927+1+5.4545 = 9.547 Hour
So, average speed = total distance / total time
Average speed = 600km/9.547 Hour
Average speed = 62.85 km/h
Hence the average speed is 62.85 km/h.
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a wagon wheel is constructed as shown. each of the eight spokes has a mass of 0.280 kg and are 0.3 m long. the outer rim has a mass of 1.4 kg. a small 10-g mass is attached by a string of negligible mass. the 10-g mass is released (from rest), what is the torque on the wheel?
The torque on the wheel is 0.0294 Nm
What is torque?The term "torque" was coined by the ancient Romans. They described these necklaces with the Latin word "Torquere", a twisted helix, a spiral, which means "twist" and "turn".
Torque is a measure of the force that rotates an object around an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is a vector quantity. Newton meter is the unit of torque.
Torque = Force × Perpendicular distance line of action of force and axis
τ = mg × L
τ = 0.01 × 9.8 × 0.3
τ = 0.0294 Nm
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Drag the item from the item bank to its corresponding match.
Match the situation with the energy transformation
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Elastic potential energy transformed into kinetic energy
kinetic energy transformed into electric energy
Gravitational potential energy transformed into kinetic energy
Electrical energy transformed into radiant energy
Chemical potential energy transformed into radiant energy
Electrical energy transformed into kinetic energy
Kinetic energy being transformed into thermal energy
Chemical potential energy transformed into thermal energy
Each situation should be match with the correct energy transformation as follows:
A boy shooting a rubber band across the classroom: elastic potential energy transformed into kinetic energy. A child going down a slide on a playground: gravitational potential energy transformed into kinetic energy. Rubbing your hands together to warm them on a cold day: kinetic energy being transformed into thermal energy. Turning on a battery operated light: chemical potential energy transformed into radiant energy.Using a DC electric motor: electrical energy transformed into kinetic energy.Using a gas power heater to warm a room: chemical potential energy transformed into thermal energy. Using a hand crank generator to produce electric current: kinetic energy transformed into electrical energy. Using the light in your room that is plugged into the wall: electrical energy transformed into radiant energy.What is energy?Energy can be defined as a measure of the ability of a physical body to do work. This ultimately implies that, energy must be possessed or transferred to a physical object or physical body before it can be used in doing a work or heating a system.
What is the law of conservation of energy?The law of conservation of energy states that the energy possessed by a physical body (object) can neither be created nor destroyed, but it can only be transformed from one form to another such as the gravitational potential energy possessed by a child on a slide that is transformed into kinetic energy.
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Complete Question:
Match the situation with the energy transformation.
A boy shooting a rubber band across the classroom
A child going down a slide on a playground
Rubbing your hands together to warm them on a cold day
Turning on a battery operated light
Using a dc electric motor
Using a gas power heater to warm a room
Using a hand crank generator to produce electric current
Using the light in your room that is plugged into the wall
Elastic potential energy transformed into kinetic energy
kinetic energy transformed into electric energy
Gravitational potential energy transformed into kinetic energy
Electrical energy transformed into radiant energy
Chemical potential energy transformed into radiant energy
Electrical energy transformed into kinetic energy
Kinetic energy being transformed into thermal energy
Chemical potential energy transformed into thermal energy
true or false: if an elevated feature near the heel or flanks or a position upwind of the fire affords a good sight line, take advantage of it as long as there is zero possibility that the fire will go there.
An elevated feature near the heel or flanks or a position upwind of the fire affords a good sight line and there is advantage of it as long as there is zero possibility that the fire will go there, which is true statement.
Elevated feature helps to protect the space besides there is a fire present. Elevated feature is the safest and nearest place to not get effected by the fire present in the other side of the elevated feature.
This feature is also created in case of emergency situations to immediately reduce the effect of the fire. This could a technique to reduce the effect of the hazards in the disaster management.
While considering the effect of hazards reduction, there are parameters on which these depends, are shape of elevated feature, elevation of the elevated feature and steepness of the elevated feature.
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the y-axis carries a uniform linear charge density of -30 nc/m, and there is a 4.0 nc point charge at the point (4 cm, 0 cm, 0 cm) as well as a -12 nc point charge at the point (6 cm, 0 cm, 0 cm). what is the electric flux through a spherical surface of radius 5 cm centered at the origin?
The sphere's surface has a net flow of 339 103 Nm2/C.
What measures the Gauss law?According to Gauss's rule of electricity, any closed surface's electric flux is inversely proportional to the net electric charge q enclosed by the surface, or q = q/0, where 0 is the electric permittivity of empty space, which has a value of 8.854 10-12 square coulombs per newton per square meter.
Given:
The total charge contained within the sphere's surface, q=-3 C
The sphere's radius is 5 cm (5 10 2 m).
To locate
the total electric flux across the sphere's surface.
Explanation:
The net electric flow through the surface of the sphere is determined by Gauss's law, which is as follows:
, Φ = q/ε0
which has a value of 8.854 10-12 square coulombs per newton per square meter.
where the permittivity of empty space equals 0.
Using the known values as a substitute
The sphere's surface has a net flow of 339 103 Nm2/C.
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HELP ASAP
Imagine you have a new strand of lights wired in series-
parallel. All the bulbs are working as expected.
Which place in the circuit has the highest resistance?
suppose we compare to something that simply slides with zero friction (but doesn't roll at all). should our rolling cylinder be released from the same height, or from a larger height, or from a smaller height if we would like our cylinder to (barely) completely make it through the circle?
The cylinder must be released from a greater height for it to complete the circle.
From the concept of work-energy theorem we know that for the sliding object, the beginning work done/ energy of the object is the potential energy due to gravity at a height.
P.E = m.g.h
Here h=height
At the top of the circle, total energy will include both Kinetic energy and potential energy
From conservation of energy, it’s inferred
m.g.h= (½ mv²) + (mg(2R))
Here R=radius of circular motion
Taking m common
m.g.h= m(v²/2 + 2gR)
Cancelling m
We get height for releasing the object as
h= (v²/2g) + (2R)
The similar formulas can be applied for the rolling object as well
but along with rotational energy
m.g.h = (½ mv²) + (½ Iω²) + (mg(2R))
Here I = moment of inertia of the rolling object
And angular velocity is denoted by ω
h = ½ (v²/g) + ½ (Iω²/mg)+ 2R
From the extra term in the above equation i.e. ½ (Iω²/mg) it’s deduced that the release height is more in case of a rolling object.
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when the displacement of a mass on a spring is 1/2 a , what percentage of the energy is kinetic energy?
The formula for total mechanical energy at maximum displacement (amplitude) is
ME = KE + PE = 0 plus (1/2)
*k*A^2 = (1/2)*k*A^2
Now, mechanical energy is constant during the displacement of a mass on a spring.
Now, when x equals A/2, or when displacement is equal to half of amplitude, then
PE = (1/4)*(1/2)*k*x2 = (1/4)*(1/2)*k*(A/2)*2
PE = (1/4)*ME
PE = ME - (1/4)*ME - KE = ME
KE = (3/4)*ME
KE/ME = 3/4 = 0.75
Part B.
When KE = PE, displacement is required.
If this event happens at 'x' displacement, then at this point we are aware that
ME = KE plus PE equals (1/2)*k*A2.
Because KE = PE
ME = PE + PE = (2*PE)*k*A2
PE = (1/4)*k*A^2
PE = (1/2)*k*x2 at x displacement, thus
(1/2)*k*x^2 = (1/4)*k*A^2
x^2 = (1/2)*A^2
(x/A)^2 = 1/2
sqrt(1/2) = 0.7071 for x/A
Using two reliable figures
x/A = 0.71
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What accounts for the light and dark bands produced when monochromatic light reflects from a glass pane atop another glass pane?.
The cause of these bands is the interference between the waves reflected from the glass on the upper and lower surfaces of the air wedge.
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why does sound travel more quickly through a solid than through a liquid
Explanation:
Sound travels more quickly through solids than through liquids and gases because the molecules of a solid are closer together and, therefore, can transmit the vibrations faster. Sound travels most slowly through gases because the molecules of a gas are farthest apart.
3. The average human walks at a speed of 5 km per hour. If your PE teacher asks you to
walk for
40 minutes in
gym class, how far would you walk (km)?
The average human walks at a speed of 5 km per hour. If your PE teacher asks you to walk for 40 minutes in gym class, you would walk for 3 Km.
What is Average speed?
The average speed is the displacement of a particle divided into a time in which the displacement occurs. Instead, instantaneous speed is the limit of the average speed as the time interval approaches zero.
Usually,
Speed = Distance/ Time
Assuming you also walk with the average human walking speed of 5 km/h. We know the above formula of speed and now making distance the subject, distance is a product of speed and time.
Here, time is 40 minutes and if expressed in hours can be converted as,
40/60 = 0.6 hours.
Distance = 5 × 0.6
= 3 km
Thus,the average human walks at a speed of 5 km per hour. If your PE teacher asks you to walk for 40 minutes in gym class, you would walk for 3 Km.
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a block has accleration a when pulled by a string. if two identical blocks are glued together and pulled with twice the orignal force, their accerleation will be?
you get the same acceleration.
we know that:
F = ma
a = F/m
a = 2F/2m
a = F/m
so if we double the force and the mass, you get the same acceleration.
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A mass on a spring undergoes shm. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity?.
When the spring undergoes simple harmonic motion and its mass is at maximum displacement then its instantaneous velocity is zero.
Simple Harmonic Motion:
Simple harmonic motion is a periodic motion in which the acceleration of the object undergoing the simple harmonic motion is directly proportional to the distance of the object from its equilibrium position and is always directed toward the mean position.
At the maximum displacement, the spring is under its greatest tension, which forces the mass upward. At the maximum displacement, the spring reaches its greatest compression, which forces the mass back downward again.
Therefore we get that when mass is at its maximum displacement from equilibrium its instantaneous velocity is zero.
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the vertical deflecting plates of a typical classroom oscilloscope are a pair of parallel square metal plates carrying equal but opposite charges. the potential difference between the plates is 25.0 v. typical dimensions are about 3.9 cm on a side, with a separation of about 5.4 mm. the plates are close enough that we can ignore fringing at the ends. part a under these conditions, how much charge is on each plate?
If we keep oscilloscope plates close with potential difference 25 V , the Charge on each plate will be 4.68 *10^-11 C.
How to calculate charge ?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge.The number of charges (electrons) that go from a higher potential to a lower potential is referred to as quantity of charge. It refers to the total amount of electricity flowing via a conductor.The capacitance of a parallel plate capacitor is given by:
C = ∈₀A / d
where
∈₀ = 8.85 *10^-12 F/m is the vacuum permittivity
A is the area of each plate
d is their separation
For the capacitor in the problem:
A= 0.033m² = 0.0011m²
d = 5.2 mm = 0.0052 m
Substituting,
C = (8.85 *10^-12) (0.0011m)/ 0.0052 = 1.87 *10^-12 F
The capacity is related to the charge on the plate by:
Q=CV
where
V = 25.0 V is the potential difference between the plates
C = 1.87 *10^-12 F
Substituting,
Q = (25.0) (1.87 *10^-12) = 4.68 *10^-11 C
Charge on each plate = 4.68 *10^-11 C
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If two tractors are pulling against each other at a tractor pull and the first tractor exerts 500N of force to the East and the second tractor exerts 350N of force to the west and the combined weight of the tractor is 800 kg, what is the acceleration of both tractors? In what direction?
Answer:
Explanation:
Given:
F₁ =500 N
F₂ = 350 N
m₁ = m₂ = m = 800 kg
__________
R - ?
a - ?
Resultant force:
R = 500 - 350 = 150 N
System acceleration:
a = R / (m₁ + m₂) = R / (2·m)
a = 150 / (800 + 800) = 0.094 m/s²
Direction R and a - East
among the four giant planets, which one has the global-average density smaller than the density of liquid water and which one has the strongest magnetic field?
Saturn is less dense than Earth because it has a bigger volume.
Of all the planets in the Solar System, Saturn has the lowest density.
Why is Saturn so low in density?Saturn is not solid like Earth; instead, it is composed of gases.Saturn is hence quite light for its size.In fact, Saturn has a density that is even lower than that of water, making it the least dense planet in our solar system.The second-largest planet in the Solar System, Saturn is enormously big.However, it is less thick than water and primarily composed of gas.It can float on water since it is lighter than water.Because they have densities greater than water, none of the other planets in our solar system are able to perform this.To learn more about Saturn refer,
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a baseball and a bowling ball with the same momentum are rolling toward you. which one needs more efforts (either longer time or larger force) to be stopped?
The baseball will require longer time and the bowling ball will require more effort to be stopped.
The bowling ball and baseball is moving with same momentum.
Let us say the momentum of the bowling ball is MV and the momentum of the baseball is mv.
According to second law of newton,
F = ΔMV/Δt
F = MΔv/Δt
So, the force is directly proportional to the speed of the object.
The speed of the bowling ball will be less than that of the baseball because the mass of the bowling ball is more and the mass of the baseball is less.
So, a greater force will be required to stop the baseball ball,
F = mΔv/Δt
v is more and the contact period Δt of the transfer of momentum is less so baseball will require longer time and a grater force will be required to stop the bowling ball because the speed is less.
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