The acceleration 0f book is 1.1029 m/s²
What is meant by accerlation ?Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by increasing speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.
The definition of acceleration is the speed at which velocity varies with respect to time. Acceleration is a vector quantity since it has both a magnitude and a direction.
Given,
velocity = 2.25
time = 2.04
accerlation = v - v0/t
= Δv/Δt
= 2.25/2.04
= 1.1029 m/s²
Therefore the acceleration of book is 1.1029 m/s²
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briefly define asteroid, comet, dwarf planet, meteor, and meteorite. how did the discovery of eris force astronomers to reconsider the definition of planet?
There needs to be some form of differentiation between what size makes a planet because Eris was larger than Pluto and other planets were only marginally smaller than Pluto.
How do you define asteroid, comet, dwarf planet, meteor, and meteorite ?Asteroid: A relatively small, stony object that circles a star; asteroids are classified as "small solar system bodies" by the government.
Comet :A comet is a tiny, ice object that revolves around a star. Comets are classified as "small solar system bodies," the same category as asteroids.
Dwarf planet: An object that orbits the Sun and is sufficiently large that gravity has shaped it almost spherically, but which does not meet the criteria for designation as a planet because it has not yet cleared its orbital neighborhood. The asteroid Ceres and the Kuiper belt objects Pluto, Eris, Haumea, and Makemake are classified as dwarf planets in our solar system.
Meteor: An explosion of light brought on by a space particle burning up in our atmosphere.
A meteorite is a space rock that falls on Earth.
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at an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/sj/s , what is the speed of the bar?
At an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/s , the speed of the bar is 25.88m/s
What is Faraday's law?The fundamental property of electromagnetism known as Faraday's law, commonly referred to as "Faraday's law," aids in our ability to predict how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). Electromagnetic induction is the term for this phenomenon.
The electromagnetic induction rules were put forth by Michael Faraday in 1831. The observation or findings of Faraday's experiments are known as the law of electromagnetic induction or Faraday's law. To understand electromagnetic induction, he conducted three key experiments.
There are two laws in Faraday's Laws of Electromagnetic Induction. The induction of emf in a conductor is described by the first law, and the emf that is created in the conductor is quantified by the second law.
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a sealed 89-m3 tank is filled with 6000 moles of oxygen gas (o2) at an initial temperature of 270 k. the gas is heated to a final temperature of 350 k. the atomic mass of oxygen is 16.0 g/mol, and the ideal gas constant is
It is closest to 0.17 MPa when gas is first under pressure.
How does the ideal gas law solve for R?To find R, the gas constant, the ideal gas law can be modified. R=PiViniTi under initial conditions, and R=PfVfnfTf under final conditions. Both expressions are equal to each other because they both equal R. In situations where one or more of the variables are constant, this equation is frequently utilised.
What is the gas constant R measured in?The average number is 8.314 J K-1 mol-1. It is a typical SI unit. To utilise this value exactly, you must: Use K for the temperature.
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a box is sliding down an incline. given that the normal force acting on the box is 10 lb, us is 0.30, and uk is 0.25, what is the force of friction?
A force of friction on a box going down an incline is 3 lbs (N)
What is force of friction?Frictional force is the force created when two surfaces come into contact and slide against one another. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces. friction, a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such as the traction required to walk without slipping, can be advantageous, they also pose a significant amount of resistance to motion.
How do you find the force of friction and what are the forces of friction?The resistive force of friction (Fr) divided by normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.
The force that prevents one solid item from moving across another is known as friction. The four basic types of friction are fluid friction, rolling friction, sliding friction, and static friction.
Briefing:10 lbf = 44.4822161525 N
0.30 us = 0.30 KJ
Weight = 0.25
0.30us-10lbf=3lbs
1. Decide which natural force is present between the object and the earth. Consider a typical force of 0.10 lbf (N)
2. Establish the frictional factor. We can opt for a friction coefficient of 0.30us.
3. Multiplying these figures by one another: (0.10lbf(N)) x 0.30us = 3 pounds (N)
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calculate the force of gravity on a 1-kg mass at earths surface. the mass of eart is 6 x 10^24, and its radius is 6.4 * 10^6
The force of gravity on a 1-kg mass at earths surface is 9.77 N
The formula for the force of gravity is:
F = G Mm/r²
Where, in this case
G = constant of gravity = 6.674 x 10⁻¹¹ N.m²/kg²
M = mass of earth = 6 x 10²⁴ kg
r = radius of earth = 6.4 x 10⁶ m
m = mass of object = 1 kg
Plug these parameters into the formula:
F = 6.674 x 10⁻¹¹ x 6 x 10²⁴ x 1 / ( 6.4 x 10⁶)²
= 40 x 10¹³ / (40.96 x 10¹²
= 9.77 N
Hence, the force of the gravity, or the weight, of a 1-kg mass is 9.77 N
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for the solidifcation of iron calculate the critical radius and the activiation free energy if nucleation is homogenous
The critical radius is 0.146×10⁻⁹m and activation energy of iron is 0.5327×10⁻⁴⁵Joules
We have some data fields, we need to find the critical radius of iron.
We know very well that critical radius is given by the formula
critical radius=(2×Surface energy × Melting point)/Latent heat of fusion
or in other words, r=(2×S×[tex]T_m[/tex])/Δ[tex]H_l_a_t_e_n_t[/tex]
whereas
r is critical radius,S is surface energy, [tex]T_m[/tex] is the melting temperatureΔ[tex]H_l_a_t_e_n_t[/tex] is latent heat of fusionAlso temperature if given in degree celsius, we need to convert this into kelvin,
Using the formula,
K=C+273°
=>K=1538°+273K=1811K
So, putting the respective values, we get
=>r= -(2×0.0204×1811)/(-1.85×10⁹×273)
=>r= (73.88/505.05)×10⁻⁹m
=>r=0.146×10⁻⁹m
Now, talking about the activation free energy.
Activation free energy is given by the formula
G=[16×3.142×(critical radius)³×(Melting point)²] / [(3×(Super Colling value)²×(Latent heat of fusion)²]
So, putting the respective values of different quantities, we get
=>G = [16×3.142×(0.146×10⁻⁹)³×(1811)²]/(3×(273)²×(-1.85×10⁹)²
=>G=(407686.907×10⁻²⁷)/(765226.508×10¹⁸)
=>G=0.5327×10⁻⁴⁵Joules
Hence, if nucleation is homogeneous the critical radius r* is 0.146×10⁻⁹m and the activation free energy ΔG* is 0.5327×10⁻⁴⁵Joules.
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(Complete question) is:
(a) For the solidification of iron, calculate the critical radius r* and the activation free energy ΔG* if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are –1.85 × 109 J/m3 and 0.204 J/m2, respectively. Use the supercooling value ΔT = 273 K, and the melting point of iron is 1538°C.
A plum is located at coordinates (−2.0 m,0,4.0 m). In unit-vector notation, what is the torque about the origin on the plum if that torque is due to a force F whose only component is F z =6.0 N
The torque about the origin on the plum if that torque is due to a force F is 12j.
Torque is a measure of the force that can cause an object to rotate approximately an axis. just as a force is what reasons an object to accelerate in linear kinematics, torque is what reasons an object to gather angular acceleration. Torque is a vector quantity.
calculation -
The torque about origin = v x f
= (-2i + 4k) x (6k)
= -12 (i x k) + 0
= 12j
Torque is the rotational equation of linear force. it's also called the instant, second of force, rotational pressure, or turning impact, depending on the field of observation. It represents the capability of pressure to supply an alternate within the rotational movement of the body.
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The specific heat capacity of aluminum and copper is 0.89 J/g0C and 0.38 J/g0C respectively. Choose the correct statementA) Copper and Aluminum can be heated at the same rateB) Copper get heated faster than aluminumC) Aluminum get heated faster than copperD) Not enough data is given
The right answer, as per the statement, is that copper heats up more quickly than aluminum.
What is the straightforward meaning of heat?Heat is the result of the movement of kinetic energy within a material or an item, from a power source to a material or an object. Radiation, conduct, and convection are the three mechanisms through which such energy can be transferred.
How is heat quantified?In order to measure heat, calories are used. The energy it takes to elevate one teaspoon of water by one degree Celsius is one calorie. A sample of water's change in temperature is divided by the water's mass to calculate heat.
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What is the minimum energy needed to change the speed of a 1600-kg sport utility vehicle from 15. 0 m/s to 40. 0 m/s?.
The power required to change a sport utility vehicle's speed is 2725 Watt.
What is speed?A measure of how quickly an object's location can shift in any direction. Speed is defined as the distance traveled divided by the time required to cover that distance. It is a scalar because speed only has a directions and no magnitude. In common usage and kinematics, the speed of an object is a scalar quantity and is defined as the amount of the change within this object's motion per unit of time or over time.
How do you calculate the speed and its measurement?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).
Speed is a unit of measurement for how quickly something is moving. The most popular speed measurements are miles per hour (mph), kilometers per hour (km/h), and metres per second (m/s).
Briefing:Mass of the sport utility = 1600kg
Initial velocity (v1) - 15m/s, (152 = 225)
Final velocity (v2) - 40m/s, ( 402 = 1600)
To find the energy required, Kinetic energy (K.E) = 1/2 mv2
K.E = final K.E - initial K.E
= 1/2(v2-v1)
= 1/2×1600×(1600-225)
= 80 × 1375
= 11000 J
Power = Energy (E)/Time (t) = 1100joule/4sec
= 2725Watt.
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Part A When setting up projectile motion questions, which of the following characteristics of projectile motion are important to keep in mind? Check all that apply. Projectile motion is the motion of an object that moves in two dimensions under the influence of gravity and air resistance. Although the horizontal and vertical motions of a projectile are independent, they are connected through the time At that the object is in the air. Projectile motion is made up of two independent motions: uniform motion at constant velocity in the horizontal direction and free-fall motion in the vertical direction.
Projectile motion is the motion in which a body moves in two-dimensional.
Options 2 & 3 are important to keep in kind while working on projectile motion.
Projectile motion is a type of motion that an item or particle (a projectile) experiences when it is launched into a gravitational field, such as from the surface of the Earth, and moves along a curved route only under the influence of gravity. Most calculations make the assumption that air resistance has passive and minimal effects in the specific scenario of Earthmoving like a projectile. Galileo demonstrated that the curved path of objects in projectile motion is a parabola, while it is possible that it might also be a straight line when the object is hurled directly above. Ballistics is the study of such motions, and this trajectory is a ballistics trajectory. Gravity is the only force acting on the item that has any mathematical meaning.
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unpolarized light with intensity 360 w/m2w/m2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. it emerges from the second filter with intensity 128 w/
In order to reduce reflections, reduce atmospheric haze, and improve color saturation, photographers frequently place polarizing filters, also known as "polarizers," in front of camera lenses.
How to Polarizing Filters Work?One of a photographer's most important tools is a polarizing filter. It is frequently the first filter landscape photographers purchase to instantly enhance their images by adding vividness and contrast. By adding a polarizing filter to your lens, you can achieve the same effect as wearing polarized sunglasses over your eyes: the polarized glass prevents errant light waves from entering the lens, improving image clarity. We will go into great detail about polarizing filters in this article, including what they do, why they are significant, and whether or not you should use them for your photography needs. Reflective surfaces also randomise light, just like air particles do. By minimising reflections from objects like water, glass, foliage, and other non-metal surfaces, polarising filters can help your photos have more color saturation. Additionally, polarising filters enable you to produce vivid blue skies in your photographs. Blue light waves disperse more readily than red and green light waves because they are shorter. By polarising your view of the sky, you can get the cleanest blue light by preventing randomised blue light from entering your lens.It is crucial to realize that the amount of polarization one can obtain from a polarizing filter can vary significantly depending on the celestial position of the sun. As such, it is important to consider how the time of day and the season may have an effect.To Learn more About polarizing filter refer to:
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a 84.9 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.65 rad/s . a monkey drops a 8.49 kg bunch of bananas vertically onto the platform. they hit the platform at 45 of its radius from the center, adhere to it there, and continue to rotate with it. then the monkey, with a mass of 20.5 kg , drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. find the angular velocity of the platform with its load. model the platform as a disk of radius 1.91 m .
Hence, normal reaction on ball is 4.22N.
Find normal force exerted by the ball on the platform ?Mass,M=1kg
Angular velocity, ϖ=10rad/s
Length of rod, r=0.1m
Angle, α=30o
From the figure,
Horizontal Equilibrium forces.
Tcos30o=mϖ2r=1×102×0.1=10
T=cos30o10=3
20……(1)
Vertical forces in equilibrium.
N=mg−Tsin30o=1×10−3
20×21=4.22N
Hence, normal reaction on ball is 4.22N
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radio waves travel through air at approximately the speed of light, c. imagine your local fm radio station broadcasts plane waves travelling in the negative x-direction with a frequency of f
Imagine your local radio station broadcasting plane Radio waves that are moving in the opposite direction of the x-axis. This is the electrical field for a radio wave: -0.231 N/C.
The physical electric field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field is known as an electric field (or E-field).
The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are typically found at frequencies of 300 gigahertz (GHz) and lower. Is called Radio waves.
Here speed c=3.0x10^8 m/s
frequency f = 105.5 MHz =1.055x10^8 Hz
E0 = 0.24 N/C
(x,t) = kx + wt = 2.21x+6.629*10^8*t
(-3.8,3.5*10^-9) = 2.21*3.8 +6.629*10^8*3.5*10-9 =10.718
electric field is-
0.24x*sin(10.718 rad)= -0.231N/C
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The complete question is -
Radio waves travel through air at approximately the speed of light, c. Imagine your local FM radio station broadcasts plane waves travelling in the negative x-direction with a frequency of f = 105.5 MHz. The waveform of the electric-field component is E(x, t) = E0sin(Φ(x, t)), where Φ(0, 0) = 0 and the amplitude is E0 = 0.24 N/C.
what is the ratio of the volume of the bubble as it reaches the surface ( vs ) to its volume at the bottom ( vb )?
The ratio of volumes of the bubble is Vs/Vb= 3.74
How do you find the ratio of the volume ?Divide the entire surface area by the total volume to determine the volume ratio. The surface area to volume ratio is another name for this. It's crucial that the volume and surface area measurements use the same units. If the surface area is specified in square feet, for instance, the volume must be measured in cubic feet.The quantity of surface area per unit volume of an item or group of objects is known as the surface-area-to-volume ratio, sometimes known as the surface-to-volume ratio and variably abbreviated as sa/vol or SA:V.The density of an object is the ratio of the mass to the volume of that thing. By dividing an object's mass by its volume, density is determined.Find the attachment answer
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FILL IN THE BLANK. The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of: A(n) ___ occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system. A(n) ___ occurs when fusion creates iron in the core of a star. A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the A(n) ___ consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star. A(n) ___ can occur only in a binary system, and all such events are thought to have the same luminosity.
Fill in blank answers are- electron degeneracy pressure, nova, massive star supernova, white dwarf limit, accretion disk and white dwarf supernova
The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of electron degeneracy pressure.
A nova occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system.
A massive star supernova occurs when fusion creates iron in the core of a star.
A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the white dwarf limit.
An accretion disk consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star.
A white dwarf supernova can occur only in a binary system, and all such events are thought to have the same luminosity.
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whats an energy creation that connects to deforestation?
suppose that in exercise 55 the current is flowing at 1.2 mi/h due south. in what direction should the swimmer head in order to arrive at a landing point due east of his starting point?
The direction in which the swimmer should head in order to arrive at a landing point due east of his starting point is 36.86° or N53.14°E.
How to find out swimmer's direction who is to arrive at a landing point due east of his starting point?
Given:
Velocity of the river: 1.2mi/h
Velocity of the swimmer: 1.2mi/h
The velocity of the river can be represented by:
V= -1.2j (negative sign represents as we head towards south)
So, the velocity of the swimmer can be represented by the vector U as:
U=2cosθi + 2sinθj
Let the true velocity of swimmer be determined as W:
W = U + V
To land at point in the east for the swimmer, he should move horizontally
Hence, the vertical component is equal to zero.
i.e., 2sinθ - 1.2 = 0
2sinθ = 1.2
sinθ = [tex]\frac{1.2}{2}[/tex]
θ = 36.86°
The direction which the swimmer should take is: 36.86° or N53.14°E.
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What is the mass of 150 kg in Moon?.
The mass on the moon is 22.80kg.
The Moon's mass the only naturally occurring satellite of the Earth, has a mass of roughly 7.4 x 10²²kg. Although the moon is the fifth largest satellite in the solar system, it is the largest relative to the planet it circles because of its mass, which is 1/4 that of Earth.
We are given that ,
Mass on the earth = 150 kg
Thus, to calculate the mass on moon of 150 kg we can use the formula,
Mass on the moon =(mass on the earth)/(9.8m/s²)×1.622m/s
Mass on the moon =(150kg)/(9.8m/s²)×1.622m/s²
Mass on the moon = 22.80kg
Thus ,the mass on the moon is 22.80kg.
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What is the energy of a single photon of light that has a frequency of 2. 30 × 10^17 hz?.
The energy of a single photon of light that has a frequency of 2. 30 × 10^17 hz is E=1.52×10⁻¹⁸J.
Use the formula E=hv.
E=energy of photon
h=Planck constant=6.626×10⁻³⁴
v=frequency of photon
We can plug in what we know:
E=(6.626×10⁻³⁴)( 2. 30 × 10^17)
Plug this into your calculator:
E=1.52×10⁻¹⁸J
Where energy E is measured in J, or joules.
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Light of wavelength 690 nm passes through two narrow slits 0.60 mm apart. The screen is 1.50 m away. A second source of unknown wavelength produces its second-order fringe 1.13 mm closer to the central maximum than the 690 nm light. What is the wavelength of the unknown light?
The mysterious light is a wavelength of 464nm
from the condition of the constructive interference:
d sinθ=mλ
for small angles: sinθ=θ=tanθ=x/l
the difference in the separation of the two fringes is,
x₁-x₂=(mλ₁l/d-mλ₂l/d)
x₁-x₂=ml/d(λ₁-λ₂)
(λ₁-λ₂)=(x₁-x₂)d/ml
λ₂=λ₁-(x₁-x₂)d/ml
=(690×10⁻⁹m)-(1.13×10⁻³m)[tex]\frac{0.60*10^{-3} }{2(1.50)}[/tex]
=0.464×10⁻⁶m
=464nm
The wavelength, or the distance over which the shape of a periodic wave repeats, is the spatial period in physics. It is a property of both traveling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings. The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda () is frequency used to denote wavelength.
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carmela believes her assistant, lian, is incompetent. she notices only what lian does wrong while ignoring the above average quality of most of her work. this exemplifies FITB bias.
She ignores the above average quality of the most of Lian's work, focusing exclusively on what she does incorrectly. Instance of FITB bias is this.
When people's perceptions of the likelihood of an outcome are clouded by similarities between objects or events, this phenomenon is known as the representativeness heuristic bias. People frequently believe that two related things or events are more closely correlated than they actually are. The Stanford Prison Experiment is frequently used as an example of unethical research. She disregards the above average quality of the majority of Lian's work, focusing solely on what she does incorrectly. As a result, the experiment cannot be replicated by researchers today because it does not adhere to the standards established by numerous ethical codes, including the Ethics Code of the American Psychological Association. This is an illustration of FITB bias.
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What does dark matter indicate about the origin of the universe?.
Dark matter makes up about 27% of the universe.
Quasars and abundant in dark matter, and with over 2,000 quasars identified today, it is clear that the universe contains a lot of dark matter.
All the stars, spheres and galaxies that can be perceived nowadays make up just 5 percent of the universe. The former 95 percent is prepared of stuff stargazers can't see, notice or even understand. These secretive substances are called dark energy and dark matter.
Experts determine their presence grounded on their gravitational influence on what little bits of the universe can be perceived.
Dark energy refers to that energy which acts against gravity, thereby resulting in the expansion of the universe. It's major constituent is current characterized with vacuum fluctuation. It is on this premise that dark matter was theorized to be causing the expansion of the universe to accelerate and itself including dark matter is filled in empty space.
Therefore, from the simple note above, it can be deduced that dark energy of dark matter does not produce electromagnetic radiation.
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Is the measure of a system's ability to expand?.
Scalability Is the measure of a system's ability to expand.
Scalability is the measure of a system's capability to grow or decrease in performance and fee in response to adjustments in application and gadget processing needs.
Scalability / Extensibility. refers to a machine's potential to make bigger, change, or downsize without problems to fulfill the converting needs of a commercial enterprise corporation. applications. programs that deal with the entry, control the processing common sense, and provide the desired output.
Scalability refers to the potential of a company (or a system, which includes a pc network) to perform properly below an improved or increasing workload.
A system that scales nicely may be capable of preserving or increasing its stage of overall performance at the same time as it is examined by way of larger and large operational demands. Scalability refers back to the potential of a pc, product, or system to make bigger to serve a large number of customers without breaking down.
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Disclaimer:- your question is incomplete, please see below for the complete question.
____________________ Is the measure of a system's ability to expand?
Ezra is occasionally asked to work the check-out line during his shifts at the Hy-Vee grocery store. During a recent lesson on Newton's
Laws, he re-lived a memory from work. He wrote the following Physics problem and he wants you to solve it.
The handle of a paper grocery sack has a breaking strength of 298 N. Ezra loads the bag with 18.8-kg of soup cans. With what
maximum acceleration can he lift the sack upward without breaking the handles?
Answer:
Approximately [tex]6.04\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex] and that the mass of the bag is negligible.
Explanation:
There are two forces on the paper bag:
Upward tension in the handle, [tex]F(\text{tensions})[/tex], andDownward weight of the bag and its contents, [tex]F(\text{weight})[/tex].It is given that the tension in the handle [tex]F(\text{tension})[/tex] should not exceed [tex]298\; {\rm N}[/tex].
Let [tex]g[/tex] denote the gravitational field strength. The mass of the bag and its contents is [tex]m = 18.8\; {\rm kg}[/tex]. Their weight will be [tex]F(\text{weight})= m\, g[/tex].
SInce [tex]F(\text{tension})[/tex] and [tex]F(\text{weight})[/tex] are in opposite directions, the resultant force on the bag will be:
[tex]F(\text{net}) = F(\text{tension}) - F(\text{weight})[/tex].
Divide the net force by mass to find the acceleration [tex]a[/tex] of the bag:
[tex]\begin{aligned}a &= \frac{F(\text{net})}{m} \\ &= \frac{F(\text{tension}) - F(\text{weight})}{m} \\ &= \frac{F(\text{tension}) - m\, g}{m} \\ &= \frac{F(\text{tension})}{m} - g\end{aligned}[/tex].
Since [tex]F(\text{tension}) \le 298\; {\rm N}[/tex]:
[tex]\begin{aligned} a &= \frac{F(\text{tension})}{m} - g \\ &\le \frac{298\; {\rm N}}{18.8\; {\rm kg}} - 9.81\; {\rm N \cdot kg^{-1}} \\ &\approx 6.04\; {\rm N \cdot kg^{-1}} \\ &=6.04\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
Note the unit conversion: [tex]1\; {\rm N \cdot kg^{-1}} = 1\; {\rm (kg \cdot m\cdot s^{-2})\, kg^{-1}} = 1\; {\rm m\cdot s^{-2}}[/tex].
Answer:
Acceleration = 6.05 m/s²
Explanation:
Fmax = 298 N
m = 18.8 kg
g = 9.8 m/s²
___________
a - ?
According to Newton's 2nd law:
Fmax = m·(g + a)
g + a = Fmax / m
Acceleration:
a = Fmax / m - g
a = 298 / 18.8 - 9.8 ≈ 6.05 m/s²
the two blocks in (figure 1) are connected by a massless rope that passes over a pulley. the pulley is 15 cm in diameter and has a mass of 2.1 kg. as the pulley turns, friction at the axle exerts a torque of magnitude 0.70 nm.If the blocks are released from rest, how long does it take the 4.0 kg block to reach the floor?
The time needed for the block to reach the floor is 1.16 seconds that can be calculated by using the kinetic equation.
The tension for both the masses will be different. But the blocks will have the same acceleration.
Now, the tension in the 4.0 kg block is
T₂ = 4.0 kg (a - g)
Similarly, in the 2.0 kg block
T₁= 2.0 kg (a + g)
Consider the pulley as a solid disc. The rotational inertia about its axis is
I = 1/2 m R²
Here, mass of the pulley is m and radius of the pulley is R.
Now, the net torque acting on the pulley is
T₂R - T₁R = I \alpha
Here, torque due to the friction in the pulley is \tau and angular acceleration of the pulley about its axis is \alpha
2.0 kg (a + g) R - 4.0 kg (a - g) - \tau = 1/2 m R2 x a/R
a = {gR (4.0 kg - 2.0 kg) }- \tau / R (4.0 kg + 2.0 kg + m/2)
Substitute 9.8 m/s² for g, 6.5 cm for R, 0.60 N m for \tau and 2.0 kg for m in the above equation
a = {gR (4.0 kg - 2.0 kg)} - \tau / R (4.0 kg + 2.0 kg + m/2)
= {(9.8 m/s²)(6.5 cm)(1 m/ 100 cm) (4.0 kg - 2.0 kg) - 0.60 N m} / (6.5 cm (1 m/ 100 cm) (4.0 kg + 2.0 kg + 2.0 kg/2)
=1.48 m/s2
The height of the 4.0 kg block above the floor is
y = 1.0 m
Thus, using kinetic equation the time can be calculated as follows:
t=(2y/a)^1/2
t=((2*1m)/(4.8 m/s²))^1/2
t=1.16 s
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What does a gene contain the instructions to make?.
The gene contains the instructions to make a protein that has information about the genetic characters of an organism.
Inside our cells there is presence of DNA.
It is a double stranded deoxyribonucleic acid.
This DNA is the place where the genetic characters resides.
But this DNA is made up of different things like the sugar.
So the genetic material is found in a part of DNA called a gene.
A gene is a short section of DNA.
The genes contain instructions that tell your cells to make molecules called proteins. Proteins perform various functions in your body to keep you healthy. Each gene carries instructions that determine your features, such as eye colour, hair colour and height.
Therefore, the gene contains the genetic information and the instructions to make a protein which determines the characteristics of an individual.
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Block in Fig. P5.91 has a mass of 4.00 kg, and block has mass 12.0 kg. The coefficient of kinetic friction between block and the horizontal surface is 0.25. (a) What is the mass of block if block is moving to the right and speeding up with an acceleration of ? (b) What is the tension in each cord when block B has this acceleration?
(a) The mass of the block is 9.45 grams and
(b) the tension is 53.4 N
Given : mass = 4.00 kg and block mass = 12 kg
the coefficient of friction or μ = 0.25
the force can be calculated by ;
(b) F₋ = μmg
F₋ = (0.25)( 12 ) (9.8)
F₋ = 29.4 N
the total force on the block
Fₐ = ma
Fₐ = (12 )(2)
Fₐ = 24 N
F is the applied force
thus Fₐ= F - F₋
F = Fₐ + F₋
F = 24 + 29.4
F = 53.4 N
And now we can calculate the (a) part by ;
(a) F₋ - Fₐ = m₋g - 39.2
m₋g = 53.4 + 39.2
m- = 92.6/9.8
m - = 9.45 g
Thus the mass of the block is 9.45 gram
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: calculate the minimum voltage vin needs to be in order to saturate the bipolar junction transistor in the following circuit, and then determine the voltage v when the vin is at that minimum voltage, given: vs
Transistor switches may be used to turn a DC minimal device (like LEDs) ON or OFF by employing a transistor in its saturated but also cut-off states.
What do you understand by Circuit?Electronics, a circuit is a completely circular conduit through which electricity travels. A simple circuit consists of a current generator, conductors, and a load. In general, a circuit may be thought of as any predetermined path that electricity follows.
A physics circuit: What does that mean?A circuit is a closed circuit in which particles can travel. An electrical source, such a battery, provides electricity to the circuit. Until the circuit is complete, that is, it makes a full circuitous return to the electrical source, no electrons will move.
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Explain the relationship between Newton's Third law of action-reaction forces and
Homers rocket experiment.
Every action has an equal and opposite response, according to Newton's Third Law.
Explain about the Newton's 3rd law relate to a rocket?Newton's Third Law of Motion is essential for rocket launch. Through action and reaction, a rocket engine generates thrust. Hot exhaust gases from the engine exit via the back of the engine. In response, the opposing reaction produces a propelling force.
Forces always act in pairs that are equal but opposite, according to Newton's third law of motion. Another way to put it is that there is an equal but opposing reaction to every action. In other words, when you push against a wall, the wall pushes back at you with a force equal to your own.
There is an equal and opposite reaction to every action, according to Newton's third law. The implication of the statement is that there are always two forces acting on the two interacting objects. The force acting on the first object is equal in size to the force acting on the second.
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When an image of an object is formed by a converging lens, which of the following statements is always true? A. The image is virtual; B. The image is real: C. The image is upright; D. The image is inverted; E. None of those statements is always true
When an image is formed using a converging lens, the image forced is virtual and upright. Thus, answer is A and C.
A convex lens is called as converging lens. A converging lens forms an image at the point where all the rays intersect behind the mirror. The converging lens forms the real, inverted images of the real objects which are further from the focal length (p>f) and virtual, upright and large images of real objects present nearer than the focal length (p<f).
Due to this, the properties of the image formed by the converging lens are virtual and upright.
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