The correct answer is 90pi in ^2/min.
Area of the spill
Area of the spill=S=πr²
dS/dr=(πr²)=2πr
Radius change with speed=dr/dt =2.5(m/s)
Area of the spill will increase with speed
dS/dt = dS/dr × dr/dt =2πr ×dr/dt
=2π×18×2.5
=282.74
Therefore the area in which the paint spilled is increasing with speed. The rate at which the area of spill is increasing is 90pi in²/min.
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An apple suddenly drops a distance of 3. 2 m from a tree. If the acceleration due to gravity is 9. 8 m/s2, what is the final velocity of the apple?.
The final velocity of the apple depends on acceleration and time.
What is velocity?
The velocity of an object is defined as the ratio of its travel distance to time. Because velocity is a vector quantity, it requires both magnitude and direction.
Given that an apple falls from a tree at a distance of 3.2 m. If the gravitational acceleration is 9.8 m/s2. The following formula will be used to calculate the final velocity of the apple: -
Time = √ ( 2s)/g)
Time = √ ( 2 x 3.2 )/9.8)
Time = 0.8 second
Acceleration = velocity/time
velocity = acceleration X time
velocity = 9.8 X 0.8
velocity = 7.34 m/s
As a result, the final velocity of the apple is 7.34m/s.
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13. What is the net force of a soccer ball with a mass of 5 kg that is
accelerating at 2 m/s²?
la formule stp et ensuite je ferais le calcul
Using the formula for 'Kinetic Energy, what is the kinetic energy for an
object that weighs 40g and moving at 10 m/s?
Explanation:
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What is the angle formed between the vectors of centripetal acceleration and centripetal force?.
The angle formed between the vectors of centripetal acceleration and centripetal force is 90∘ The centripetal force and the tangential velocity are perpendicular to each other in a circular motion, that is, they make an angle of 90∘90∘ with each other.
A net force that keeps an object moving in a circular motion is known as a centripetal force. The centripetal force causes angular or circular motion by pulling or pushing an item in the direction of the centre of a circle as it moves. The stress on the rope pushes the object toward the centre when you spin a ball on a string or twirl a lasso.
The centripetal force is directed towards the centre of the circular route both along the radius and at right angles to the motion.
Centripetal force is described as the force applied to a body that is travelling in a circle and is pointed in the direction of the body's centre of mass. The terms centrum, which means "centre," and petere, which means "to seek," are the origins of the phrase. The center-seeking force might be referred to as centripetal force.
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an lc circuit is to be constructed so that the oscillations in its current mimic the oscillations of a mass of 1.6 kg attached to a horizontal spring of spring constant 1.9 n/m and free to slide on a frictionless horizontal surface. find what inductance the circuit should have for its current to oscillate with the same frequency as the mass and spring if the capacitance is 1.6 f.
The inductance the circuit should have for its current to oscillate with the same frequency as the mass and spring if the capacitance is 1.6 F is 0.53 H
√ k / m = √ 1 / L C
k = Spring constant
m = Mass
L = Inductance
C = Capacitance
m = 1.6 kg
k = 1.9 N / m
C = 1.6 F
√ 1.9 / 1.6 = √ 1 / ( 1.6 L )
1.1875 = 1 / 1.6 L
L = 1 / ( 1.1875 * 1.6 )
L = 0.53 H
Capacitance is the property of an electric conductor. It is measured by the amount of separated electric charge that can be stored. Inductance is measured by the size of EMF induced in it compared to the rate of change of electric current that produces the voltage.
Therefore, inductance the circuit should have for its current to oscillate with the same frequency as the mass and spring if the capacitance is 1.6 f is 0.53 H
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the wire in (figure 1) carries current i2i2, which is 20 times the current i1i1 of the loop; the direction of the current in the wire is shown. the magnetic field in the center of the loop is zero. the radius rr of the loop is 1.4 cmcm.
The amount of current flowing through the loop's center is [tex]I_{1} = \frac{\pi DI_{2} }{R}[/tex]
Is a loop's magnetic field zero in its center?At the Loop's core, the magnetic field is empty.B=[tex]m[/tex]0I2R(at center of loop), B =[tex]m[/tex] 0 I 2 R(at center of loop), where R is the loop's radius, gives the magnetic field strength at the loop's center.In a circular electric current loop, the magnetic field is more concentrated in the center than on the outside.In the absence of a conducting wire, the magnetic field's strength at a distance decreases inversely with distance.Since circle one (A) has the smallest radius, its magnetic field is greatest at its center.To learn more about a loop's magnetic field zero in its center refer to:
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A woman is driving down the road, moving at a rate of 22 m/s east, when she sees a deer crossing the road in front of her. She is on her phone, so it takes her 1.2 seconds to apply the brakes, but she then slows down at a rate of 1.4 meters per second squared.
(a) How long does it take her to come to a complete stop?
(b) What is her displacement in coming to a stop?
The time taken is 15.7 seconds and the displacement of the woman is 172.9 m.
What is the time taken?We know that when we apply the brakes, the vehicle would come to a stop. As such, the brakes do apply a kind of braking force to the vehicle as we can see. We are required here to obtain the time that was taken for the vehicle to brake.
Now we have;
initial velocity = 22 m/s
Acceleration = 1.4 meters per second squared
Final velocity = 0 m/s
a) Given that;
v = u - at
v = 0 m/s hence;
u = at
t = u/a
t = 22/ 1.4
t = 15.7 s
Her displacement can be obtained from;
x = ut - 1/2at^2
x = 22(15.7) - (0.5 * 1.4 * (15.7)^2)
x = 345.4 - 172.5
x = 172.9 m
The woman is going to have the calculated displacement of 172.9 m.
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A 14 kg box is being pushed across a floor with an applied force of 12 N at a constant velocity of 6 m/s. The surface then becomes very rough, and with the same applied force, the box comes to rest in 2 seconds. What is the frictional force when the box had a constant velocity?
The frictional force when the box has a constant velocity of 6 m/s is -30 N
How do I determine the frictional force?We'll begin by obtaining the acceleration of the box. This can be obtained as follow:
Constant velocity (v) = 6 m/sTime (t) = 2 secondsAcceleration (a) =?Acceleration = velocity / time
Acceleration = 6 / 2
Acceleration = 3 m/s²
Next, we shall determine the net force on the box. This is shown below:
Mass (m) = 14 KgAcceleration (a) = 3 m/s²Net force =?Net force = mass × acceleration
Net force = 14 × 3
Net force = 42 N
Finally, we shall determine the frictional force. Details below
Force applied = 12 NNet force = 42 NFrictional force = ?Net force = Force applied - frictional force
42 = 12 - frictional force
Rearrange
Frictional force = 12 - 42
Frictional force = -30 N
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a 1.120kg car is travelling with a speed of 40m/s find its energy
Answer:896/10 JOULES.
Explanation:
After the oil spill, marine microbes consumed the oil under the surface but also removed ________ from the water, killing both plants and animals and creating dead zones.
Some bacteria only use one photosystem. How does this differ from photosynthesis in green plants?.
Some bacteria only use one photosystem. The difference is in electron donor . Both have different electron donors .
Both bacteria and photosynthesis have different electron donors .
In bacterial system, H2S mostly acts as an electron donor
And in the plant system, H2O acts as an electron donor
Hence , oxygen is produced in plant photosynthesis but not in bacterial photosynthesis.
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What happens when a boater pushes against the water with an oar? Check
all that apply
The water pushes back.
The boat moves in the opposite direction.
The water has more force than the oar.
The oar has more force than the water.
This is one of the example of Newton's third law of motion. The first two options are the right answers
What is Momentum ?Momentum is the product of mass and velocity. According to conservation of linear momentum, the sum of momentum before collision is equal to the sum of momentum after collision.
What happens when a boater pushes against the water with an oar?
The water pushes back because according to Newton's third law, in any action, there must be equal and opposite reaction. Also, the boat will move in the opposite direction.
The water will not have more force than the oar neither will the oar has more force than the water because in any action.
Therefore, when a boater pushes against the water with an oar, the water pushes backward and the boat moves in the opposite direction.
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Has anybody seen the movie “Hidden Figures” that can help me with this assignment?
Four rods that obey hooke's law are each put under tension. (a) a rod 50. 0 cm long with cross-sectional area 1. 00 mm2 and with a 200 n force applied on each end. (b) a rod 25. 0 cm long with cross-sectional area 1. 00 mm2 and with a 200 n force applied on each end. (c) a rod 20. 0 cm long with cross-sectional area 2. 00 mm2 and with a 100 n force applied on each end.
The tensile strength of rod A and B are equal and also greater than Rod C tensile strength. The order will be C < B = A for different Cross-sectional Areas of the given rods.
for A,
Cross-sectional Area, A = 1mm²
A = 1 × 10^-6m²
Force, F = 200N
the formula of tensile strength will be,σ = F/A
σ = 200/1×10^-6
σ = 200 × 10^6 N/m²
σ = 200 Mpa
for B,
Cross-sectional Area A = 1mm²
A = 1 × 10^-6m²
Force applied F = 200N
the formula of tensile strength will be,σ = F/A
σ = 200/1×10^-6
σ = 200 × 10^6 N/m²
σ = 200 Mpa
for C,
Cross-sectional Area A = 2mm²
A = 2 × 10^-6m²
Force applied F = 100N
the formula of tensile strength will be,σ = F/A
σ = 100/2×10^-6
σ = 50 × 10^6 N/m²
σ = 50 Mpa
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(b) The pressure of the air in the balloon is returned to 120 kPa.
The temperature of the air inside the balloon is 290 K.
The balloon is tested again, changing the temperature of the air and keeping the volume of
the balloon constant.
The balloon's capacity is fixed at 0.413793. Air pressure outside can be assumed to remain constant.
How does volume and example function?Volume is used to describe an object's capacity. If a cup can carry 100 ml of water in its brim, for example, it is said to have a 100 ml capacity. Volume can also be used to describe how much space a three-dimensional object occupies.
How do volume and value work?Market share comes in two flavors: value and volume. The business's overall shares of its total accumulated sector sales serve to define a value market share. On the other hand, a volume market share refers to the precise number of units the company markets in comparison to the total number of units sold in the market.
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The students have decided to test how removing the reflective lid will affect the efficiency of the solar cooker. Explain how this change will impact the transfer of thermal energy in the solar cooker design and describe one possible design improvement the students can make to compensate for this change.
It is to be noted that removing the reflector material from the lid will diminish the amount of sunlight getting into the solar cooker. This invariably will reduce the amount of power generated because of the transfer of thermal energy.
What is Thermal Energy?Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process Refer to the first law of thermodynamics.
Cooking, drying, heating, smoking, baking, chilling, and manufacturing are all examples of productive thermal energy usage.
Work occurs when an item moves as a result of the application of force. While thermal energy does not exert force like a push or pull, it does create movement in the particles of an item or system. When high thermal energy particles engage with another item, they cause the particles of that object to travel faster and so do work on that object.
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please study spring force and oscillation concepts to answer the following questions. 1. what is simple harmonic motion? what is restoring force? give restoring force for mass-spring system.
The Oscillatory Motion, or simply Oscillation, is the periodic "to and fro" motion of a particle about a point (known as equilibrium or mean position) and restoring force=-Kx.
A force must be exerted on a particle in order for it to engage in oscillatory motion; this force must constantly work to return the particle to its equilibrium or mean position. The term "restoring force" refers to this force. A force must always have a direction that is the opposite of the particle's displacement from its mean position in order to be a restoring force.
Mathematical concept :-Simple Harmonic Motion, or SHM, is a particular kind of oscillation where the restoring force is proportional to the particle's displacement from the mean position.
F∝-x.
F=-Kx.
Here,.
The force that restores is F.
The particle's deviation from the mean position is expressed by the value of x.
Force has a constant called K.
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an elderly sailor is shipwrecked on a desert island but manages to save his eyeglasses. the lens for one eye has a power of 1.03 diopters, and the other lens has a power of 6.11 diopters. what is the magnifying power of the telescope he can construct with these lenses?
The magnifying power of the telescope he can construct with these lenses is 6.
A lens is a transmissive optical device that focuses or disperses a mild beam via refraction. An easy lens includes a single piece of transparent material, whilst a compound lens includes numerous simple lenses, normally arranged alongside a commonplace axis.
Calculation:-
power = 1/f
f = 1/1.03 = 0.97
f = 1/ 6.11 = 0.164
Magnifying = - f₀/fe
= 0.97 / 0.164
= 6
A lens is a transmissive optical device that focuses or disperses a mild beam by using refraction. A simple lens consists of a single piece of obvious cloth, while a compound lens includes several easy lenses, commonly arranged alongside a common axis.
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) a medicine is prescribed for a baby that weighs 8.5 pounds. the dose is 5.0 mg per kilogram of body weight. how many milligrams of medicine should be given to this baby? note: 1 kilogram
A medicine is prescribed for a baby that weighs 8.5 pounds. the dose is 5.0 mg per kilogram of body weight. 19.5 mg of medicine should be given to this baby
The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
1 Pound = 0.45 kg
8.5 pounds = 3.9 kg
Since , the dose should be = 5 mg per kilogram
for 1 kg = 5 mg dose is required
for 3.9 kg = 5 * 3.9 = 19.5 mg dose is required
19.5 mg of medicine should be given to this baby
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you find an antique car jack like the one shown in the figure at an estate sale. after cleaning it up, you establish that the amount of friction is negligible and that the input and output pistons have a diameter of 0.30 in. and 1.5 in., respectively. determine the force f needed to support a 1000-lb load at the output piston.
The force f needed to support a 1000-lb load at the output piston is 4.34 lb
Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction: Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.
Calculation:-
applying the torque
F input (3.0 in) = F (15 in)
F = F input (d input /2)² / (d output /2)²
= 21.7 lb (3.0) /15 in
= 4.34 lb
Friction is the shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon the character of the floor in contact. The rougher the ground, the extra friction is involved. The frictional force is proportional to the urgent pressure, which is the burden of the body. it's miles impartial of the place of the touch.
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Newton’s ______ law of motion states that "an object at rest will stay at rest, and an object in motion will stay in motion, unless acted on by an unbalanced force.
Answer:
Newton's First Law of Motion
Explanation:
this law is an explanation to why inertia exits too, and since the law of inertia is also Newton's First Law of Motion, therefore the answer is 'First'
A pendulum of mass 6. 5 kg hangs in equilibrium. A frustrated student walks up to it and kicks the bob with a horizontal force of 30. 0 n applied over 0. 30 seconds. What is the length of the pendulum if it has a period of 5. 0 seconds? what is the maximum angle of displacement of the swinging pendulum?.
The maximum angle of displacement of the swinging pendulum is 16°
Given,
m2 6.5kg,
F = 30N,
t=0.30s
use,
Impulse (I) = F xt mv = F xt v- Fxt m 2 X 0.3 - coso - 0.0157
cos o = 0.984
o cos (0.984) 10
16°
Displacement is a vector amount that refers to "how far out of vicinity an object is"; it's miles the item's universal alternate in role.
The displacement, defined as the exchange in function of the object, is a vector with the value as a distance, inclusive of 10 miles, and a route, such as east. Velocity is a vector expression with a magnitude identical to the speed traveled and with an indicated direction of movement.
Displacement (symbolized d or s ), also referred to as duration or distance, is a one-dimensional amount representing the separation among two defined points. the same old unit of displacement within the worldwide machine of devices (SI) is the meter (m).
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What happens to the gravitational force between two particles if the distance between them is doubled?.
What is the shape of the trajectory followed by a charged particle as it moves perpendicular to a uniform magnetic field?.
The shape of the trajectory followed by a charged particle as it moves perpendicular to a uniform magnetic field will be circular
The magnetic force will act perpendicular to velocity at every instant ,path will be circle.
When a charged particle enters into a magnetic field and magnetic force will act perpendicular to the velocity of the charged particle , which exert a force in such a way that charge will traverse a circular path .
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A daredevil is shot out of a cannon at 37.4◦ to the horizontal with an initial speed of 25.4
m/s. A net is positioned at a horizontal distance of 47.2 m from the cannon from which
the daredevil is shot. The acceleration of gravity is 9.81 m/s. At what height above the cannon’s mouth should the net be placed in order to catch the daredevil?
Answer in units of m.
The height above the cannon’s mouth that the net be placed should in order to catch the daredevil is 2.86m.
What is Maximum Height in Projectile motion?
This refers to the highest height of the object in projectile motion and it is dependent on the initial velocity, the launch angle, and the acceleration due to gravity. It is measured in “meters”.
It is calculated using The Formula:
H=(v₀)² *sin²θ
2×g
where,
H =Maximumheight
v₀ = initial velocity
sinθ =Sine of launch angle
From the question:
v₀= 25.4m/s
g = (9.81ms/²)
Sin θ= 37.4°
calculating Maximum height:
H=( 25.4)² *sin²37.4°
2×9.81
H = 2.86m
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Which two elements have similar properties and 8 electrons in their outermost shells.
The outermost shells of neon and argon both contain 8 electrons.
Noble gases are defined as elements with 8 electrons in either the valence shell or the outermost shell. Because the valence shell is completely filled, these gases are in an extremely stable state, which makes these elements less reactive.You'll comprehend the existence of the KLMN shell and the spdf orbital using the concept of quantum chemistry.
S-orbital is a component of the K, which can only hold two electrons.Sp orbitals are found in the 8 electron capacity L shell.The spd orbital is found in the M shell, which can hold 18 electrons, and the spdf orbital is found in the N shell, which can hold 32 electrons.Let's take potassium as an example, whose electron configuration is 1s2 2s2 2p6 3s2 3p6 4s1, to illustrate what happens when electrons fill these orbitals.
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A cylindrical rod has equal and opposite forces applied perpendicular to its circular ends. The forces are directed toward the rod, compressing the rod. What type of stress is this rod subject to?.
A cylindrical rod has equal and opposite forces applied perpendicular to its circular ends. The forces are directed toward the rod, compressing the rod. What type of stress is this rod subject to?
the rod is subjected to tensile stress. In such cases, the volume of the rod remains constant, however there's an increment in the length.
Tensile stress makes material elongate along the axis of the applied load.
In this case, the rod elongates along its axis yet the volume remains constant.
a mass of 0.30 kg hangs on a vertical spring and stretches the spring 16 cm from equilibrium. what is the spring constant of the spring?
The spring constant of the spring is 18.375 N/m .
What is potential energy ?
Potential energy, stored energy that depends on the relative positions of the various parts of the system. A steel ball has more potential energy lifted across the ground than after it hits the ground. In an elevated position, he can do more work. Potential energy is a property of systems, not of single bodies or particles. For example, a system of Earth and a raised ball will have more potential energy the farther apart the two are. Potential energy arises in systems containing parts exerting forces on each other whose magnitude depends on the configuration or relative position of the parts. For the earth-ball system, the gravitational force between the two depends only on the distance separating them. The work done in separating or lifting the ball further transfers additional energy into the system and is stored as gravitational potential energy.
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transverse waves travel at 22.7 m/s on a string that is under a tension of 5.00 n. what tension is required for a wave speed of 32.7 m/s in the string?
The tension required for a given wave speed in the string is 10.37 N.
Given that,
Speed of transverse wave = 22.7 m/s
Tension = 5 N
Speed of required wave = 32.7 m/s
Tension required for the wave = ?
The direction of tension is the pull given to the string. Transverse wave moves in the direction where the oscillations are perpendicular to the direction of motion of the wave.
The tension required can be found by using the formula,
⇒ Initial tension* (required speed/ initial speed )²
⇒ 5* (32.7/22.7)² = 10.37 N
Thus, the tension required for a given wave speed in the string is 10.37 N.
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if a system does 84.0 kj of work on its surroundings and releases 105 kj of heat, what is the change in the internal energy of the system, in kj?
The system does the work of 874 KJ and releases heat 105 KJ, then the change in internal energy of the system is -189 KJ.
What is Heat?A temperature gradient causes energy to flow from one body to another, known as heat. Energy is transferred, or heat flows, when two bodies of different temperatures are placed together.
The hotter body goes to the cooler. Typically, but not always, this energy transfer causes the temperature of the region of lower temperature to rise and the temperature of the warmer object to fall.
The work done by the system, w = -84 KJ and,
Heat released, q = -105 KJ
ΔU = q + w
ΔU = -84 + (-105)
ΔU = -189 KJ
The negative sign shows the loss of heat.
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