The time and height at which they collide at 1 second and 15 m respectively when the stone is thrown upward with a velocity of 20m/s.
Let ball A be at the bottom and ball B be at the top.
Assume that you are sitting at B and watching A move.
You (B) appear to be content with yourself. However, both you (B) and A are accelerating in the same general direction. So, the acceleration of A relative to you (B) is 0.
As a result, A will appear to be approaching you uniformly moving at 20 m/s toward you.
A reaches you (B) in 1 second if the distance of 20 meters is divided by that speed.
Now that you have assumed you were stationed at B, you have thought about these motions and time. However, whichever reference frame you use, the time it takes for A to reach B shouldn't vary.
The collision between A and B occurs in 1 second.
Assuming g = 10 m/s2,
B falls freely and travels a distance of 1/2(g)([tex]1^{2}[/tex])=5.
They thus collide at a height of (20-5)m, or 15m, above the earth.
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A 24-v battery is powering a light bulb with a resistance of 2. 5 ohms. What is the current flowing through the bulb?.
The current passing through the bulb having a voltage of 24 V is 9.6 Amperes
The potential difference of the bulb = 24 V
The resistance of the bulb = 2.5 ohms
The current flowing through the bulb can be found using ohm's law i.e.
I = V / R
where I is the current flowing through the bulb
V is the potential difference in the bulb
R is the resistance in the bulb
Let us substitute the known values in the above equation, we get
I = 24 / 2.5
= 9.6 A
Therefore, the current flowing through the bulb is 9.6 A
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what would the roche limit be for an earth-orbiting body with the same density as earth? (the earth's density is 5.5 g/cm3. give your answer in terms of rearth.)
Buying or selling the Earth will go against the rights of the inhabitants of the world (humans and other living beings).
What is the Roche limit of Earth?
Solar influence
Far from the Roche limit, the mass is practically spherical. Closer to the Roche limit, the body is deformed by tidal forces. Within the Roche limit, the mass's own gravity can no longer withstand the tidal forces, and the body disintegrates.If Earth had two moons, it would be catastrophic. An extra moon would lead to larger tides and wipe out major cities like New York and Singapore. The extra pull of the moons would also slow down the Earth's rotation, causing the day to get longer.The Moon will swing ever closer to Earth until it reaches a point 11,470 miles (18,470 kilometers) above our planet, a point termed the Roche limit. "Reaching the Roche limit means that the gravity holding it [the Moon] together is weaker than the tidal forces acting to pull it apart," Wilson said.The Roche limit for the Moon orbiting the Earth is 2.86 times radius of EarthThe nearest distance between the planet and its satellite at where the planets gravitational pull does not torn apart the planets satellite is known as Roche limit.The relation to determine Roche limit is:
[tex]Roche Limit=(2.423) (Rp3) {{\sqrt[3]{\frac{D_{P} }{D_{m} } } } }[/tex]
Here is radius of planet and are density of planet and moon respectively.
According to the problem,
Density of Earth, = 5.5 g/cm³
Density of Moon, = 3.34 g/cm³
Consider be the radius of the Earth.
Substitute the suitable values in the equation (1).
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A baseball rolls off a 0. 70 m high desk and strikes the floor 0. 25 m away from the base of the desk. How fast was the ball rolling?.
The ball was rolling at a speed of 0.66 m/s when it was rolling on the desk.
The speed of the ball as it fallsDetermine the time it takes the ball to fall to the floor.
We have,
y = 0.70 m
g = 9.8 m/s²
s = 0.25 m
So,
y = ½ (a) (t)²
t = √(2y/g)
= √(2) (0.70 m) / (9.8 m/s²)
= 0.378 s
Determine the speed at which the ball rolls across the table.
v = s/t
= 0.25/0.378
= 0.66 m/s
Thus, the ball rolls off the table at a speed of 0.66 m/s
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A motor winches a 450.0 kg load of gravel for 15.0s at a constant speed of 0.400 m/s
straight up vertically. How much work has the motor done on the box?
I
A) How much energy did the motor use in (a) if it is only 85% efficient
The energy of the motor of mass 450 kg if it is 85% efficient is 22491 J.
What is energy?Energy can be defined as the capacity or the ability to perform work.
To calculate the energy of the motor if it 85% efficient, we use the formula below.
Formula:
E = 0.85mgvt............... Equation 1Where:
E = 85% efficient energy of the motorm = Mass of the motorv = Speed of the motort = Timeg = Acceleration due to gravityWhere:
m = 450 kgv = 0.4 m/st = 15 sg = 9.8 m/sSubstitute these values into equation
E = 0.85×450×0.4×15×9.8E = 22491 JHence, the energy of the motor if it is 85% efficient is 22491 J.
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calculate the self-inductance (in mh) of a 49.0 cm long, 10.0 cm diameter solenoid having 1000 loops.
The self inductance in the solenoid is
Self inductance in the solenoidWe have,
Length of solenoid = 49.0 cm = 0.49 m ⇒ l
Diameter of the solenoid = 10.0 cm ⇒ d
Radius = 5 cm = 0.05 m ⇒ r
Number of loops in the solenoid is 1000 ⇒ N
µ₀ = 4π × 10⁻⁷ H/m.
So, the self inductance in the solenoid is:
L = {μ₀ (N)² (A)}/l
= {(4π × 10⁻⁷) (1000)² (0.05)²}/0.55
= 0.00570 H = 5.70 mH
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what is the formula for acceleration due to gravity
Acceleration due to gravity is defined as the acceleration produced in a falling body due to the force of gravity. It is denoted by “g” and its value is 9.8m/(sec*sec).
The value of “g” does not depend on the mass of the falling body, it means if two objects say a cotton ball of mass 100 gram and an iron ball of mass 100 gram are allowed to fall in a vacuum tube (free from air resistance) from some height, then both the objects will hit the ground at the same time because both get accelerated towards the ground with the same acceleration i.e 9.8 m/ (sec*sec).
In simple words, 9.8 m/(sec*sec) means the velocity of a falling body increases by 9.8 m/sec after every I sec.
Thanks.
Answer: The formula for acceleration due to gravity is F=mg
Explanation: Where F stands for the force acting on the body and m stands for the mass of the body g is the acceleration due to gravity
A 1. 2-m3 rigid tank contains nitrogen gas at 200 kpa and 350 k. Heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 900 kpa. Determine the work done during this process.
Using the concepts of work, we got that 0 joule is the amount of the work done during the process in which 1.2-m3 rigid tank contains nitrogen gas at 200 kpa and 350 k and heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 900 kpa.
We are given some values of the rigid tank which are
Volume of the tank (V) = 1.2 m³
Initial pressure of the nitrogen (P₁) = 200 kPa
Initial temperature of the nitrogen (T₁) = 350 K
Final pressure of the nitrogen (P₂) = 900 kPa
The volume of nitrogen gas is same as volume of tank. Now, as the tank is rigid so, the volume of nitrogen gas remains the same.
We know that,
Work done on a gas is given as: PΔV
Where, ΔV is the change in volume.
But, the volume here is constant. So, ΔV = 0.
Therefore, work done=P×0=0Joules.
Hence, if 1. 2-m3 rigid tank contains nitrogen gas at 200 kpa and 350 k and Heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 900 kpa, then the work done during this process is 0 joules.
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an ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s. her moment of inertia with her arms stretched out is 2.48 kg m2. what is the increase in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.40 kg m2?
The rotational kinetic energy when she pulls in her arms is 0.7 joule.
We need to know about kinetic energy to solve this problem. Kinetic energy is the energy from a moving object. It can be determined as
KE = 1/2 . I . ώ²
where KE is kinetic energy, I is the moment of inertia and ώ is the angular speed.
From the question above, we know that
ώ = 1 rad/s
I = 1.4 kgm²
Let's assume that the angular velocity does not change. The kinetic energy should be
KE = 1/2 . I . ώ²
KE = 1/2 . 1.4 . 1²
KE = 0.7 joule
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Early skeptics of the idea of a rotating earth said that the fast spin of earth would throw people at the equator into space. The radius of earth is about 6400 km. Show why this objection is wrong by determining the following information.
The radius of earth is about 6400 km.
The new inflationary model was good attempt to explain why the universe is expanding. This could explain why there is so much of matter.
Invariant conditions coexist in inertial frames. These are the frames that obeys newton's law of motion. The Lorentz and gauche configurations co-ordinate out the space and time as minoskwi space with the fourth co-ordinate with position time pair. Earth is flat oval shaped with bulged towards equator and flat at poles.
Since the equatorial plane has greater side compared to polar plane and gravity has less impact on equator due to this factor.
Mathematical Reasoning-
[tex]equator > polar\\\\ge < gp[/tex]
[tex]F=G\frac{Mm}{R^2}[/tex]
[tex]F=mg[/tex]
[tex]g=\frac{GM}{R^2}[/tex]
g ∝ R⁻²
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H2 + O = H2O which are the reactants and which are the products?
please answer
The reactants are shown on the left and the products are shown on the right. For example: hydrogen and oxygen can react to form water as shown in the equation below. 2H2 + 02 → 2H2O (You can disregard the numbers in the equations during this activity.)
Explanation:
hydrogen+oxygen= water
as they reach an intersection, you realize you are in the straight lane and you intended to make a left turn. what should you do
You should turn left and must yield to oncoming vehicles going straight.
Left turns must give way to oncoming traffic. A four-way stop allows the first driver to reach the intersection ahead of the other drivers after coming to a complete stop. Drivers entering the driveway from a driveway alley or curb must yield to vehicles already on the main road.
Gradually decelerate while looking in the rearview mirror. Transfer to the left lane. Watch out for oncoming vehicles and pedestrians. A green light means GO but you must let any remaining vehicles bicycles, or pedestrians at the intersection pass before you can proceed. You can turn left only if there is enough room for oncoming traffic bicyclists or pedestrians to turn before it becomes dangerous.
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A block starting from rest slides down the length of an 18 m plank with a uniform acceleration of 4. 0 m/s2. How long does the block take to reach the bottom?.
Starting at rest, a block accelerates at 4.0 meters per second square and slides down an 18-meter plank. The block needs three seconds to get to the bottom.
What is acceleration?
Acceleration is the term used to describe how quickly an object changes its velocity. A vector quantity is an acceleration. An object is said to be accelerating if its velocity is changing; an item with a steady velocity is not accelerating.
The velocity of a moving object refers to how quickly it is moving in that direction. Consider the speed of a car driving north on a highway or the speed at which a rocket takes off as an example.
Given that in the question block slides down an 18 m plank length with an acceleration of 4.0 meters per second square when it begins at rest.
Using the equation of motion,
S = ut + (1/2)at²
s is distance, s = 18 m
u is initial velocity, u = 0
a is acceleration, a = 4 m/sec²
t is time
18 = 0*t + (1/2)*4*t
solving we get t = 3 sec.
Hence, the time taken by the block to reach the bottom is 3 sec.
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A runner exerting a running force of 325 n to the right is met with an air resistance force of 45 n to the left. What is the net force of the runner?(1 point).
The correct answer of net force of the runner is 280 N.
What is resultant force?
A resultant force is the single force and corresponding torque that are produced when adding vectors to a system of forces and torques acting on a rigid body.
Therefore given,
Runner force = F1 = 325 N
Resistance force in opposite direction of runner = F2 = 45 N
Resultant Force, F(Net) = 325 – 45 = 280 N
The net force of the runner would be 280 N
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A 0.045 kg bullet moving at 478 m/s strikes a stationary 5.2 kg wooden block. The bullet passes through the block and leaves with a velocity of 304 m/s. If the block was originally at rest, how fast does it move after being hit by the bullet?
Work out and use units
The speed of the block ofter being hit by the bullet of mass 0.045 kg is 6.77 m/s.
What is speed?Speed can be defined as the ratio of distance to time.
To calculate how fast the block move after being hit by the bullet, we use the formula below.
Formula:
U = (mv-mV)/M......... Equation 1Where:
U = Speed of the block after being hit by the bulletM = Mass of the blockm = Mass of the bulletv = Initial speed of the bulletV = Final speed of the bulletFrom the question,
Given:
m = 0.045 kgM = 5.2 kgv = 478 m/sV = 304 m/sSubstitute these values into equation 1
U = [(0.045×478)+)-(0.045×304)]/5.2U = (21.51+13.68)/5.2U = 35.19/5.2U = 6.77 m/sHence, the speed of the block ofter being hit by the bullet is 6.77 m/s.
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Connor is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would connor have to pay for parking if he left his car in the lot for 3 hours? how much would connor have to pay if he left his car in the lot for tt hours?.
Connor has to pay for parking if he left his car in the lot for 3 hours will be $10. The expression will be C = 13 -t for t hours.
Solution:
The expression for t hours will be:-
Gas left after t hours: 13−1t
Cost of gas left after 3 hours: 13−1(3)= $10
Therefore, Connor has to pay for parking if he left his car in the lot for 3 hours will be $10. The expression will be C = 13 -t for t hours.
It's okay to hold hands. In small towns putting your arm around your partner can cause glare. Avoid cuddling on public benches queues and restaurants. Also, don't look into each other's eyes affectionately when there are other people around. It's best not to kiss or hug Japanese people to greet them. While Westerners often kiss on the cheek as a greeting, Japanese prefer bowing and shaking hands. In addition, public declarations of love are not considered good manners.
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two parallel wires are separated by 6.00 cm, each carrying 3.00 a of current in the same direction. (a) what is the magnitude of the force per unit length between the wires? (b) is the force attractive or repulsive?
The magnitude of the force per unit length between the wires is 3 x 10⁻⁵ N/m and attractive forces will be in output.
Given-
Two parallel wires, each carrying 3A of current in the same direction, are spaced apart by 6cm.
Theory-
When electric charges are in relative motion with one another and have an effect on magnetized materials, a magnetic field, also known as a pseudo-vector field, is created. We can define the magnetic field as the region where magnetic force is present and is present around a magnet. Electric charges and magnetic dipoles are moved by a magnetic force created by a magnetic field, a type of field that travels through space.Two wires carrying various currents in the same direction are provided to us. Here, we can assume that a wire is maintained in the magnetic field of another wire, causing the generation of magnetic force that the wire experiences.Mathematics-
[tex]F=\alpha Ii/2\pi d\\\\\alpha =4\pi *10^{-7}\\I=i=3A\\d=6cm=0.06m\\\\\\Substituting\\\\F=3 *10^{-5} N/m[/tex]Since the currents flowing in both the wires is same so the force induced will have negative field. Negative field refers to attractive force.To know further about attractive forces -
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If a wave has a wavelength of 50 m and is traveling through water that is 30 m deep, what kind of wave is this?.
If a wave has a wavelength of 50 m and is traveling through water that is 30 m deep then this kind of wave is called deep water wave.
How is it a deep water wave?By definition, deep-sea waves are waves that occur at depths greater than half the wave's wavelength.In this case the wave wavelength is 50 m and the water depth is 30 m.Half the wave wavelength is 25 m.And this waves become deep sea waves or water waves.What is a deep water wave?Deep-sea waves occur when the depth is more than half the wavelength. Mathematically, deep-sea waves are defined as waves originating in the deep ocean that are greater than twice the wavelength of the wave. For example, if a particular wave has a wavelength of 10 meters, it is considered a deep-sea wave if the depth of the ocean where it originates is greater than 5 meters.Can learn more about deep water waves from https://brainly.com/question/23269505
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what is the direction of the centripetal acceleration of the gum, as the fan is turning at top speed?
Radially inward is the direction of the gum when the fan reaches its top speed.
Centripetal acceleration is the type of acceleration that acts on the object with its direction towards the midpoint of the circular motion that the object is revolving in like in the case of the fan with the gum.
It should be kept in mind that centripetal acceleration acts on the body when it is in a constant circular motion albeit the direction changes periodically with the object always acting radially inward.
The centripetal acceleration is given by the formula
= v² / r
Here v = velocity of moving object
r = distance from midpoint/centre of the circular path
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How do you identify conjunctive adverbs in a sentence?.
Subjunctive adverbs can be followed by a semicolon or period usually followed by a comma.
Adverb Conjunctions also called conjunctive adverbs to join two complete thoughts together like conjunctions. Use the second sentence to modify the first sentence like an adverb. Subjunctive adverbs can be followed by a semicolon or period, usually followed by a comma.
Conjunctive adverbs are a special type of adverb used to connect independent clauses together. While most adverbs are used to modify verbs adjectives or other adverbs subjunctive adverbs are used as conjunctions to connect one sentence to another. Indicates a connection between two separate statements within a sentence. Organize your ideas into two or more sentences. Show the relationships between ideas in stand-alone sentences.
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acompact disk spins at a rate of 200 to 6000 revolutions per minute. what are the equivalent rates measured in radians per second?
the correct answer for the disk spins at of 200 to 6000 revolutions per minute is 20o rpm = 20.999 radian per second.
A body that has made one rotation has made two radians of angle.
We apply the same conversion factor to convert the angular velocity as well:
1rev/min=2π60 radian/s
200rpm=200(2π60)rad/s=20.944radian/s
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_____ is a branch of science that involves the study of the physical world; _____ is the language of physics.
why does a solid break at one location vs another
Answer:
can you provide a paper so I can see exactly what u have to do so I can help because I think I know the aswer
In the reaction shown, iron reacts with water to form iron oxide (Fe3O4) and hydrogen gas (H₂).
3Fe + 4H₂0
Fe3O4 + 4H₂
Which of these BEST describes the iron (Fe) reactant?
A. molecule
B. ion
C. compound
D. Element
Cold water does not react with iron. Iron, however, interacts with steam to create iron and hydrogen oxide. Fe3O4 + 4H2 = 3Fe(s) + 4H2O. Iron (II, III) oxide, also known as ferric oxide (Fe3O4), is a combination of Fe O and Fe2O3.
What happens when water and iron are combined?Ferric oxide (Fe2O3) and hydrogen gas are produced when ferrous oxide (Fe O) and water (H2O) combine (H2). This reaction yields a black solid called Fe3O4, which is frequently used as an antirust pigment. Understanding the chemical equation for this reaction is required to determine whether a specific mixture will produce Fe3O4: 2Fe3+(aq)+3H2 = 2Fe(s)+3H2(g) (g). According to this equation, two moles of iron metal will interact with to create two moles of ferric ion and three moles of hydrogen gas, it takes three moles of hydrogen gas. All of the iron will be transformed to Fe3+ ions and no Fe3O4 will occur if the combination only contains one mole of each component.
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What is the moment of inertia of a 1. 5-kg-rod that rotates about its center? the length of the rod is 1. 8 m.
Using the concepts of Moment of inertia, we got that 2.43kgm² is the moment of inertia of a 1. 5-kg-rod that rotates about its center if the length of the rod is 1. 8 m.
We know very well that moment of inertia of rod is different at different point.
Moment of inertia of rod about the center is given by (1/2)ML²,where moment of inertia of rod at the ends is given by (1/3)ML².
Now, we have mass of rod which is given by 1.5 kg, and length of rod is 1.8m
Therefore, moment of inertia of a rod about its center=(1/2)ML².
On putting the values,(M.O.I)=(1/2)×1.5×(1.8)×(1.8)
=>(M.O.I)=(0.5)×1.5×1.8×1.8
=>(M.O.I)=2.43Kgm²
Hence, the moment of inertia of a 1. 5-kg-rod that rotates about its center, if the length of the rod is 1. 8 m. is 2.43kgm².
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An antelope is being chased across the savannah by a hungry lion. The lion runs at a constant speed. How might the antelope use its velocity to escape the lion? choose the three statements that apply.
The antelope can flee from the lion if it can run in the same direction while speeding up, if it can run in that same direction while speeding up, or if it can do both.These first three claims are accurate in all three cases.
How do prey and predator interact?There is a prey-predator connection in every ecosystem.Only if the prey possesses additional traits, such as the capacity to mimic the poisonous species that the predator despises, the speed to run, the capacity to hide from the predator, etc., can it escape the predator.The lion's preferred prey is the antelope.So the antelope can easily flee from the lion if it speeds up its pace.It can readily hide in another location and flee the lion if it runs at the same speed but changes directions.The victim makes an effort to defend itself against the predator in this way.As a result, the first three methods—A, B, and C—can all be employed to avoid the lion (predator).To learn more about antelope refer
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a mass oscillates on a spring on a frictionless, horizontal surface. at the time indicated by the arrow, what is the phase of the oscillation?
If a mass oscillates on a spring on a horizontal, non-stick surface, vx is equal to zero and Fx is the phase of the oscillation. During the Arrow's Predicted Time,
What does the term oscillation mean?Oscillation is the process of any quantity or measure repeatedly varying about its equilibrium value throughout time. Another definition of oscillation is the repeated variation of a substance between two values or around its core value.
Are periodic motion and oscillation the same thing?When an object goes back and forth frequently, it is said to be oscillating. In contrast, periodic motion is the movement of an item that repeats a course after a regular time period. Every oscillatory motion is periodic, but not every periodic motion is an oscillatory motion.
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why do you push down harder on the pedal tours with bicycle when first starting out then when moving
We push town harder on the paddle tours with bicycle when first starting out then when moving because of the law of inertia.
According to the Law of Inertia and Newton's first law of motion,
If a body is at the state of rest or in the state of motion then it will continue it state unless and until an external force is applied on it in order to change its state.
The property of the object to remain in its state is called inertia. Whenever you try to change the state of body we use an external force.
So, when we start to pedal the bicycle we are trying to change the state of rest of the bicycle. But when the bicycle starts to move we are not trying to change the state of the bicycle we are continuously along the bicycle to move and remain and its state of motion.
This is the reason why we push down harder on the pedal tours with bicycle when first starting out then when moving.
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the angular velocity of a rotating rigid body increases from 200 to 1,700 rev/min in 115 s. (enter the magnitudes.) (a) what is the angular acceleration of the body (in rad/s2)? rad/s2 (b) through what angle (in rad) does it turn in this 115 s?
The angular acceleration of the body is 9059.125 rad.
Angular Acceleration is described as the time rate of alternate angular velocity. it's also expressed in radians per 2d consistent with the second. accordingly, α = d ω d t. Angular acceleration is also called rotational acceleration.
Calculation:-
a. angular acceleration = change in angular velocity
a = 2π (1700 - 200)/60.115
= 1.37 rad/sec²
b. θ = 01/2at²
= 0.5×1.37 ×(115)²
= 9059.125 rad.
Angular acceleration (α) can be described as angular velocity (ω) divided by acceleration time (t). rather, pi (π) increased by means of power pace (n) divided by acceleration time (t) multiplied by 30. This equation yields the usual angular acceleration SI unit of radians in line with 2d squared (Rad/sec²)
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what property or properties of light determine whether it is blue or red or ultraviolet or any other type of light in the electromagnetic spectrum?
Wavelength is the property of light determine whether it is blue or red or ultraviolet or any other type of light in the electromagnetic spectrum
Wavelength is that property of light which determine the color and type of light .
In visible region , every colors of light have its associated wavelength .
The distance between consecutive crests of a wave, particularly the points of an electromagnetic wave is known as its wavelength.
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an 8.00 kg block of wood sits at the edge of a frictionless table, 2.20 m above the floor. a 0.500 kg blob of clay slides along the length of the table with a speed of 24.0 m>s, strikes the block of wood, and sticks to it. the combined object leaves the edge of the table and travels to the floor. what horizontal distance has the combined object traveled when it reaches the floor?
The object has to travel a horizontal distance of 0.943 m when it reaches a floor.
Here, it has been mentioned that the mass of the wood is = 8.00 kg
The mass of the clay blob is = 0.500 kg
The speed of the clay blob is = 24 m/s
The speed of the wood is = 0 m/s
We already know that the formula for the final velocity after the collision is
= [tex]m_{1}[/tex][tex]v_{1}[/tex]/[tex]m_{1}[/tex]+[tex]m_{2}[/tex]
Using this formula and the given conditions, we get-
= 1.41 m/s (i)
We know the formula = S = ut+1/2g*t^2
Using this formula and the values given, we get the time traveled to go down = 2.20= 0+1/2(9.8)*t^2
= t = 0.669 seconds (ii)
Using the values of (i) and (ii), we get-
Distance travelled horizontally = x = 1.41 * 0.669
= 0.943 meters
Therefore, we know that the object travels 0.943 meters horizontally,
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