No. of turns of wire would be required to make a 120 mh inductance out of a 33.0 cm -long air-filled coil with a diameter of 4.1 cm is μ*2740.68 as μ is variable for different types of material.
What is Inductance?An electrical conductor's propensity to resist a change in the flow of current through it is known as inductance. A magnetic field is produced around a conductor by an electric current flowing through it. The magnitude of the current determines the field strength, which follows any changes in current.
The formula of Inductance is L = μN2A/l where L = Inductance (H), μ = Permeability (Wb/Am),N = The coil's number of turns, A = The coil's cross sectional area = π*d²/4, l = Length of coil (m)
Now acc. to the given data
L=120mh
I=33.0cm =0.33m
Diameter=4.1cm
A= π*d²/4 = 3.14*4.12/4
A=13.19cm2or 0.001319m2
Now rearranging the formula for no. of turns we get
N=√LI/μA
So, N=√ 120*0.33/μ*0.001319
N=μ*2740.68
Hence, no. of turns of wire would be required to make a 120 mh inductance out of a 33.0 cm -long air-filled coil with a diameter of 4.1 cm is μ*2740.68 as μ is variable for different types of material.
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The value of a car can be represented by the equation v = 16,000(0. 93)t, where v is the value of the car and t is the age of the car in years. What is the meaning of the number 0. 93 in the equation?.
As the age of the car increases by 1 year, the value of the car decreases by 7%.
What is velocity?
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.
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1294joules of work landed 100meters away how much force did the player hit the ball
A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.
What is work?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.
Given in the question a work of 1294 joules is used to move a ball 100 M then,
Work = force x distance. In units, Joules = Newtons x meters.
So, 1294 = F Newtons x 100 meters
Force , F = 12.94 joules.
A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.
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Now our wavelength is getting longer because the waves are stretching out. This make the _________ lower as well as the pitch we hear.
Now our wavelength is getting longer because the waves are stretching out. This makes the 1. Frequency is lower as well as the pitch we hear.
Wavelength is the gap among equal factors (adjacent crests) in the adjacent cycles of a waveform sign propagated in the area or alongside a twine. In wi-fi systems, this duration is generally laid out in meters (m), centimeters (cm), or millimeters (mm).
Equation of the wavelength, we will tell that the wavelength of a wave is inversely proportional to its frequency, i.e., because the frequency of a wave increases, its wavelength decreases.
A better-frequency sound has a better pitch, and a decreased-frequency sound has a lower pitch. In discern 10.2 sound A has a better pitch than sound B. for example, the chirp of a bird would have an excessive pitch, but the roar of a lion could have a low pitch. The human ear can discover a huge variety of frequencies.
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Disclaimer:- your question is incomplete, please see below for the complete question.
Now our wavelength is getting longer because the waves are stretching out. This makes the _________ lower as well as the pitch we hear.
1. Frequency
2. Loudness
3. Amplitude
a contact lens is made of plastic with an index of refraction 1.50. the lens has an outer radius of curvature of 1.65 cm and an inner radius of curvature of 5.85 cm. what is its focal length?
The lens does have an outer radius of 1.65 cm or an inner radius of 5.85 cm, with an index of refraction of 1.50. then f=20cm is the focal length.
Does it say lens or lense?Between lens & glass, lens is the preferred spelling, whilst lense is an error. A lens can be a piece of bent glass or plastic, a component of a camera, or even the clear portion of your eye. Lense, on the other hand, is merely a typo and not a real word.
What serves as a lens?In optics, a lens is a piece of glass or another transparent material that focuses light from an object to create an image of it.
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An arrow shot vertically upwards at a speed of 40m/s, hit the target after 2s. How high is the target? How fast did the arrow hit the target?
Answer:
Explanation:
kinematics
d=V1*t + 1/2* a * [tex]t^{2}[/tex]
plug in your knowns into the above equation
d=40*2+1/2*(-9.8)*[tex]2^{2}[/tex]
60.4m
Vf = Vi+ a*t
Vf = 40 + (-9.8)*2
Vf = 20.4 m/s
Each sentence describes an interaction between two of Earth’s spheres. Match each sentence with the spheres that are interacting.
geosphere and hydrosphere
hydrosphere and biosphere
biosphere and atmosphere
atmosphere and geosphere
Grady swims in the ocean.
arrowRight
Lena takes a deep breath.
arrowRight
Water vapor condenses on a glass.
arrowRight
Gusty winds weather sandstone in the desert.
sentence describes an interaction between two of Earth’s spheres are given below
Geosphere and hydrosphere - water vapor condenses on a glass.
Hydrosphere and biosphere - Grady swims in the ocean.
Biosphere and atmosphere - Lena takes a deep breath
Atmosphere and geosphere - gusty winds weather sandstone in the desert.
Geosphere refers to the solid portion of the Earth, therefore rocks, land, and the like would be included. Water is a component of the hydrosphere, as indicated by the word hydro, which means water. The atmosphere comprises the winds and the air that surrounds us. The term "biosphere" describes the biotic elements. We consider living things since the word "bio" signifies "life." All those spheres now interact with one another, and it is because of these interactions that our universe is created and how life on Earth can coexist. Grady is a living creature, and the ocean is composed of water, as can be shown by comparing the characteristics of each sphere.
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"if the coefficient of kinetic friction between tires and pavement is 0. 80, what is the shortest distance in which you can stop a car by locking the breaks when traveling at 28. 7 m/s?".
53.64 m is the shortest distance you can stop an automobile by locking the brakes.
How can I calculate the coefficient of kinetic friction?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 represents it: fr = Fr/N.
Given;
kinetic friction coefficient is 0.80.
automobile's speed, u = 28.7 m/s
Applying the following equation, we can determine the shortest distance over which an automobile can be stopped by locking the brakes:
v² = u² + 2ax
First, we establish a;
the second law of motion, Newton
v² = u² + 2ax
First, we establish a;
the second law of motion, Newton
F = ma
F is the amount of kinetic friction preventing the car from moving
-F = ma
but, -F = -μN
-μN = ma
-μmg = ma
-μg = a
- 0.8 x 9.8 = a
-7.84 m/s² = a
Add the value of a to the equation above now
v² = u² + 2ax
F = ma
F is the amount of kinetic friction preventing the car from moving
-F = ma
but, -F = -μN
-μN = ma
-μmg = ma
-μg = a
- 0.8 x 9.8 = a
-7.84 m/s² = a
Add the value of a to the equation above now
v² = u² + 2ax
When the car comes to a stop, its final speed is v = 0.
0 = 28.7² + 2(-7.84)x
0 = 823 - 15.68x
15.68x = 823
x = 823 / 15.68
x = 52.48 m
Therefore, 52.48m is the shortest distance you can stop an automobile by locking the brakes.
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a boy stands at one end of a floating raft that is stationary relative to the shore. he then walks in a straight line to the opposite end of the raft, away from the shore. what is the total momentum before the person moves?
The total momentum before the person moves is zero when he walks in a straight line to the opposite end of the raft.
What is meant by momentum?According to Newton's second rule of motion, the rate of change of body's momentum is equal to the net force acting on it. Momentum changes with frame of reference, but it is a conserved quantity in any inertial frame, which indicates that if a closed system is not impacted by external forces, its total linear momentum remains constant.
Because the initial momentum was zero, the final momentum must also be zero. If the boy has momentum in one direction, the boat must have momentum in the other. The total momentum before the person moves is zero when he walks in a straight line to the opposite end of the raft
As a result, the boat moves backward.
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a solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. which one goes the least distance up its incline?
The solid sphere goes the least distance up its incline.
How do you define the moment of inertia of a body?
In physics, the term "moment of inertia" refers to the quantitative measurement of a body's inertia with respect to rotation, or the resistance that a body shows when a torque is applied to change its speed of rotation around an axis (turning force). The axis may or may not be fixed, and it may or may not be internal or external.The formula for moment of inertia is =I = L/ω
I = inertia
L = angular momentim
ω = angular velocity
In the question it is given that a solid sphere, solid cylinder, a spherical shell and a hoop all having the same mass(m) , radius(r) and linear center of mass speed(v) roll up identical inclines
Since all the bodies have same mass, radius and linear speed as such according to conservation of energy for every object,
Rotational Energy + Kinetic Energy = Potential Energy
Iω^2/2 + mv^2/2 = mgh
where, the symbols represent-
I = moment of inertia
ω = angular speed
v= linear speed
m = mass
h = height
We know the
I for solid sphere = 2mr^2/5
I for solid cylinder = mr^2/2
I for spherical shell = 2mr^2/3
I for hoop = mr^2/2
As per the given informations kinetic energy of all bodies is same therefore, on the value of I or the moment of inertia depends which body will cover the highest or least distance up its incline
I for solid sphere is minimum among all the given bodies and thus it will attain the least distance.
Hence, the solid sphere goes the least distance up its incline.
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An insulated beaker with negligible mass contains liquid water with a mass of 0.350 kg and a temperature of 78.3 ∘C. How much ice at a temperature of -24.2 ∘C must be dropped into the water so that the final temperature of the system will be 40.0 ∘C ?
Answer:
Explanation:
Given:
c₁ = 2100 J / (kg·°C)
c₂ = 4200 J / (kg·°C)
λ₁ = 3.4·10⁵ J / kg -
t₁ = -24.2°C
t₀ = 0°C
t₂ = 78.3°C
t = 40.0°C
m₂ = 0.350 kg
___________
m₁ - ?
Ice is heated to 0°C:
Q₁ = c₁·m₁·(t₀ - t₁) = 2100·m₁·(0 - (-24.2)) = 50 820·m₁ J
The ice is melting:
Q₂ = λ·m₁ = 340 000·m₁ J
Cold water is heated:
Q₃ = c₂·m₁·(t - t₀) = 4200·(40.0 - 0)·m₁ = 168 000 J
Hot water is cooling down:
Q₄ = c₂·m₂·(t₂ - t) = 4200·0,350·(78.3 - 40.0) = 56 300 J
Thermal badance equation:
Q₁ + Q₂ + Q₃ = Q₄
m₁·(50820 + 340 000 + 168 000) = 56 300
m₁·(3 620 000) = 56 300
Mass of ice:
m₁ = 56 300 / 3 620 000 ≈ 0,016 kg or 16 g
light from the star sirius takes 8.61 years to reach the earth. what is the distance to sirius in kilometers?
Only twice as far away from the solar system as the Alpha Centauri system, which is the closest star system to us beyond the Sun, it is 8.6 light-years away.
The Greek word that inspired its name means "sparkling" or "scorching." At a speed of just over 186,000 miles per second, light moves through space. Light from the moon's surface must travel more than one second (about 1.3 seconds) to reach Earth because the moon is only around 250,000 miles away.
Time = 8.61 years = 8.61 8760
= 75423.6 hours
Speed of light = 3108 m/s
= 3108 3.6 = 1080000000 Km/h
Dimension =?
Distance x time speed
75423.6 / 1080000000 = distance
multiply by cross
Distance = 75423.6 1080000000
Distance = 8.15*10¹³ kilometers
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Renewable energy produced about 12% of the electricity generated in the United States in 2012. Which of the following sources of renewable energy contributed the most to this total?
Hydropower is the source of renewable energy that contributed the most to 12% of the electricity generated in the United States in 2012.
Hydropower, also known as hydroelectric power, is one of the earliest and most significant forms of renewable energy. It uses the water's natural flow to generate electricity. Currently, 32% of all renewable electricity produced in the US and around 12% of all electricity produced in the country comes from hydropower.
Energy that comes from sources that quickly replenish themselves is referred to as renewable energy. Most of the time, clean energy, or energy that emits few greenhouse gases or pollutants, is also provided by renewable energy sources.
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two sturdy poles are positioned 7.5 m apart. a 0.35 kg cord is stretched between the poles. when one pole is struck by a hammer, a transverse wave travels down the cord and reaches the other pole in 0.78 s. what is the tension in the cord?
The tension in the cord is 4.318 N.
What is a tension?
In physics, tension is defined as the pulling force that is transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. The polar opposite of compression might be tension. The International System of Units (SI) uses newtons to measure tension as a transmitted force, an action-reaction pair of forces, or a restoring force (or pounds-force in Imperial units).
V= distance/ time
7.5/0.78= 9.62 m/s
T= v^2 m/ l
= (9.62)2 0.35/ 7.5
= 32.39054/ 7.5
= 4.318N
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what is the magnitude of the gravitational force between two 5.0-kilogram masses separated by a distance of 5.0 meters? responses
To learn the magnitude and gravitational force to calculate the distance.
What is magnitude?
The most straightforward way to define magnitude is "distance or quantity." In either an absolute or relative sense, it displays the size or motion of an object. It serves as a way to convey the size or scope of something. Magnitude typically refers to a size or length.
What is gravitational force?
Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.
G is the gravitational constant 6.67 × 10^-11 Newtons kg-2 m2.
M is the mass of the first object
m is the mass of the second object
r is the distance between them.
In this question.
two g-kg masses are separated by 5 meters.
So F=G(5kg)(5kg)/(5^2)=6.67*10^-11 (newtons)
Therefore, the gravitational force between two 5.0-kilogram masses separated by a distance of 5.0 meters is 6.67*10^-11 (newtons).
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Some doctors recommend that men drink 3 liters of water every day. There are approximately 29. 6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?.
Number of Fluid ounces in 3 Liters of water is approximately 101.
Volume of water = 3 Liters
Volume of water (in milliliters) = 3 x 1000 = 3000 ML
The volume of water in 1 ounce = 29.6 ML
Number of ounces in 3000 ML = [tex]\frac{3000}{29.6}[/tex]
= 101.35 ounces
≈ 101 ounces
Therefore, there are 101 fluid ounces in 3 liters of water and option
B is the correct choice.
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what is the relationship of lift, drag, thrust, and weight when the airplane is in straight-and-level flight?
In order to maintain a constant altitude, constant velocity, thrust, and drag must all be equal.
In level flight, the aircraft slows down when the engine power is decreased and the thrust is decreased. The airplane keeps descending as long as the thrust is lower than the drag. In contrast to weight, lift works. The opposite of drag is thrust. A plane flies level flight when the forces are equalized. If the forces of lift and thrust are greater than the forces of gravity and drag, the plane rises.
The lift and push produced by an airplane while it is traveling straight and level at a constant speed balance its weight and drag, respectively.
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A 7.87 kg box is moving at a constant velocity of 2 m/s when pushed directly horizontally with a force of 34.2 N. Determine the coefficient of friction between the box and the floor.
0.44 is the coefficient of friction between the box and the floor.
F=μN
F= force
N= Normal reaction
μ=coefficient of friction
F=μN
μ=F/N
μ=34.2/7.87 ×9.8
μ= 0.44
The ratio of the normal force pushing two surfaces together to the frictional force preventing motion between them is known as the friction coefficient. Usually, the Greek letter mu is used to indicate it .N is the normal force, and F is the frictional force, hence F = N/N.
Due to the fact that both F and N are measured in units of force, the coefficient of friction has no dimensions (such as newtons or pounds). The coefficient of friction can have a variety of values for both static and dynamic friction. Static friction occurs when an object encounters friction that resists any applied force, keeping the object at rest until the static frictional force is released. In kinetic friction, the frictional force resists the motion of the object.
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Gibbons move through the trees by swinging from successive handholds, as we have seen. To increase their speed, gibbons may bring their legs close to their bodies. How does this help them move more quickly?
By bring their legs close to their bodies, they are decreasing the length of the pendulum which help them move more quickly.
A pendulum is nothing but a body suspended from a fixed point so that it can swing back and forth under the influence of gravity.
Here in this case Gibbons are bringing their legs close to their bodies and reducing the length of the pendulum. Since as the length of the pendulum increases the speed of the movement will be reduced. By bringing their legs close to their bodies they are reducing the length and in turn their speed increase and they move quickly.
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A fighter jet of mass 12,652 kg is carrying a single 190 kg missile and traveling at a speed of 365 m/s relative to the ground. The fighter jet launches the missile at a speed of 1,207 m/s relative to the ground. How fast is the fighter jet traveling the instant after it launches the missile?
The speed of the fighter jet the instant after it launches the missile is 352.36 m/s.
What is the final speed of the fighter jet?The final speed of the fighter jet is the speed of the fighter jet after launching the missile.
Apply the principle of conservation of linear momentum;
m₁u + m₂u = m₁v₁ + m₂v₂
where;
m₁ is mass of the jetm₂ is the mass of the missileu is the initial velocityv is the final velocityu(m₁ + m₂) = m₁v₁ + m₂v₂
365(12,652 + 190) = 12,652v₁ + 190(1207)
4,687,330 = 12,652v₁ + 229,330
12,652v₁ = 4458000
v₁ = 4458000 / 12,652
v₁ = 352.36 m/s
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an object placed 19.0 cm from a concave mirror produces a real image 12.7 cm from the mirror. if the object is now moved to a new position 27.0 cm from the mirror, where is the new image located as measured from the mirror?
If the object is now moved to a new position 27.0 cm from the mirror, the new image located as measured from the mirror is 10.6 cm
1/p + 1/q = 1/f
so 1/p1 + 1/q1 = 1/p2 + 1/q2
1/19 + 1/12.7 = 1/27 + 1/q2
q2 = 10.6 cm
B. f = -16.2 cm
q = - 11.7 cm
(object is formed behind the mirror that means image is virtual and for virtual image, image distance will be negative)
1/f = 1/p + 1/q
1/(-16.2) = 1/(-11.7) + 1/q
q= 42.1 cm
In physics, an object is a recognisable grouping of matter that can be contained by a recognizable boundary and that can move together by translation or rotation in three dimensions. An image is the point at which light rays emanating from an object come together or appear to come together after reflection or refraction. According to this definition, an "object" is anything from which light rays emanate.
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Help please, What two factors affect the strength of gravity acting on an object?
mass and velocity
mass and speed
mass and time
mass and acceleration
I would say D
Explanation:
The strength of gravity between two objects depends on two factors: the masses of the objects and the distance between them.
When you apply a potential difference of 125 V between two parallel plates, the field between them is 4.25 × 103 N /C. How far apart are the plates?
The distance of the plates apart is 0.029 m.
What is the electric potential?We know that the electric potential has to do with the energy that is required to move a unit positive charge from one point to another in the electric field.
Now we have the following parameters from the questions;
Voltage applied = 125 V
Electric field = 4.25 × 103 N /C
Distance apart = ??
Now we know that we have to use the formula that says;
E = V/d
E = Electric field
V = Voltage applied
d = Distance apart
When we make d the subject of the formula;
d = V/E
d = 125 V/4.25 × 10^3 N /C
d = 0.029 m
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What do purple LED lights help with?
Purple LED lights are very effective at helping plants grow.
What is an LED lamp?
An LED lamp, often known as an LED light bulb, is a type of electric light that emits light by employing light-emitting diodes (LEDs). LED lamps are substantially more energy-efficient than identical incandescent bulbs and can outperform most fluorescent lamps. The most efficient LED bulbs on the market have efficiency of 200 lumens per watt (Lm/W). Commercial LED bulbs have a far longer lifespan than incandescent lamps. To function from mains power lines, LED lights require an electronic LED driver circuit, and losses in this circuit mean that the lamp's efficiency is lower than the efficiency of the LED chips it utilizes. To be compatible with light dimmers designed for incandescent lamps, the driver circuit may require additional characteristics.
Purple LED lights are quite good in assisting plant growth. Because red and blue wavelengths of light, which are included in many LED grow lights, have been discovered to be crucial in promoting plant development, utilizing purple LED lights isolates these two hues to optimize the advantages of your grow light.
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pre-lab form ballistic pendulum 1. what is an elastic collision? is the ballistic pendulum collision elastic? 2. show the derivation the ballistic pendulum calculation formula, equation (3).
An elastic collision is a collision wherein there may be no net loss in kinetic energy in the machine due to the collision. every momentum and kinetic power are conserved quantities in elastic collisions.
An elastic collision is a come among bodies in which the overall kinetic power of the two bodies stays identical. In an ideal, perfectly elastic collision, there may be no internet conversion of kinetic strength into other kinds which includes heat, noise, or capacity electricity.
Elastic collisions arise whilst both the momentum and kinetic energy are conserved, just like how billiard balls bounce off each different and move at the same speeds as earlier. Inelastic collisions appear whilst simplest the momentum is conserved but not the kinetic power.
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when two objects slide against one another, which of the following statements about the force of friction between them is true?
a. The magnitude of the frictional force is always equal to \mu_{\rm k}n.
a. The magnitude of the frictional force is always less than \mu_{\rm k}n.
b. The magnitude of the frictional force is determined by other forces onthe objects so it can be either equal to or less than \mu_{\rm k}n.
This statement is True. The magnitude of the frictional force is always equal to μkn.
Frictional force refers to the pressure generated via two surfaces that touch and slide toward every other. a few factors affect the frictional pressure: those forces are specifically stricken by the surface texture and the amount of pressure impelling them together.
Friction can gradually things down and prevent desk-bound matters from shifting. In a frictionless global, extra gadgets would be sliding about, clothes and footwear might be difficult to keep on and it might be very difficult for human beings or vehicles to get shifting or change direction.
using lubricants such as oil or grease can reduce the friction between the surfaces. by using polishing the floor, sprucing makes the floor easy and friction may be decreased.
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In 1-2 sentences, summarize why the force required to move a ping pong ball is less than the force required to move a bowling ball.
Answer: The force is less to move a ping pong ball than a bowling ball because the ping pong ball is light while the bowling ball is heavy.
The force required to move a ping pong ball is less than the force required to move a bowling ball.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The force is less to move a ping pong ball than a bowling ball because the ping pong ball is light while the bowling ball is heavy.
The force required to move a ping pong ball is less than the force required to move a bowling ball.
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Tom chases Jerry across a 1 m high table. Jerry steps out of the way and Tom slides off the table and strikes the floor 2.2 m from the edge of the table. When Tom slid off the table, what was his horizontal speed?
The horizontal speed of Tom when it slid off the table is 4.89 m/s.
What is the time of motion of Tom?
The time of motion of Tom is the time taken for Tom to fall from the top of he table to ground level.
It can also be described as time spent in air by Tom.
h = ut + ¹/₂gt²
where;
u is the initial vertical velocity of Tom = 0t is the time of motion of Tomg is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 1 / 9.8)
t = 0.45 s
The horizontal speed of Tom when it slid off the table is calculated as;
v = x/t
where;
x is the horizontal distancet is the time of motionv = (2.2 m) / (0.45 s)
v = 4.89 m/s
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suppose you float a large ice-cube in a glass of water, and that after you place the ice in the glass the level of the water is at the very brim. when the ice melts, the level of the water in the glass will:
The floating substance will displaces some liquid and so when the ice melts ,there will be no change in the water level as the melted ice will occupy the same volume as it was occupying earlier.
What is Archimedes’ law of buoyancy?
Archimedes’ principle can be defined as any body when completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward force. It is usually equal to the weight of the fluid displaced by the body.
Apparent weight= Weight of object (in the air) – Thrust force (buoyancy)
It is used in the design of ships and submarines. Hydrometers are based on the principle of Archimedes.
Applications of Archimedes’ principle
Submarine:Hot-air balloonHydrometerThe above case works on Archimedes principle leading to no change in water level.
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a mass of 175g is placed on the end of a spring of unknown spring constant. the spring is stretched beyond equilibrium and released. the time to complete one oscillation (1 period) is .725s. what is the spring constant? group of answer choices 13n/m 2n/m -13n/m 128n/m -128n/m
The spring constant is 13 N/m
What is the spring constant?
Simple harmonic motions as well as Hooke's law are related to the definition of the spring constant. Therefore, we must first examine Hooke's law before attempting to define the spring constant as well as comprehend how it functions. As long as the applied load is below the elastic limit, a spring will naturally extend in proportion to the applied load, according to the theory of elasticity. We now understand that when an object is subjected to force, it tends to deform in some way. Consider a spring. Because springs are elastic, they will be compressed when we apply force to one side of the spring. The spring now expands to its original size by applying force in the opposite direction of the applied force.
T= 2*pi sqrt (m/K)
0.725=2*pi*sqrt (0.175/K)
K=13 N/m
Hence the spring constant is 13N/m
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A planet is in circular orbit around the Sun. Its distancefrom the Sun is four times the average distance of Earth from theSun. The period of this planet, in Earth years, is:_______.
A. 4
B. 8
C. 16
D. 64
E. 2.52
Answer:
B. 8 years
Explanation:
D = 1 a.u. - Distance from the Sun to the Earth in astronomical units (a.u.)
D₁ = 4 a.u - Distance from the Sun to the planet
T = 1 year - The period of the earth's revolution around the Sun
__________
T₁ - ? - The period of revolution of the planet around the Sun
Kepler's law
(T₁/T)² = (D₁/D)³
(T₁ / 1)² = (4 / 1)³
T₁² = 64
T₁ = √ 64 = 8 years
B. 8 years
The relationship between the planet's period and the Earth's period and cube root of the ratio between the planet's distance from the Sun and the Earth's distance from the Sun.
Kepler's third law is the theory applied to this puzzle.
Write the expression for the period of the planet first using Kepler's rule to take into account the period of the Earth, the distance from the Sun to the Earth, and the distance from the Sun to the planet.
To compute the period of the planet, finally, substitute the appropriate quantities. The relationship between the period and the separation between the Sun and the planet is provided by, in accordance with Kepler's third law: T² ∝ a³
T is the period in this case, and an is the separation between the planet and the Sun.
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