The fact that a solid cylinder rolls down a hill more quickly than a hollow one has been demonstrated above. This is as a result of their inertial moments.
What is hollow cylinder?A cylinder that is hollow from the inside out and has a discrepancy between its internal and external radii is referred to as a hollow cylinder. The base of the hollow cylinder is shaped like an annular ring.. So the hollow cylinder's bottom resembles a zone enclosed by two concentric rings.
What Is the Volume of a Hollow Cylinder and its formula?The area encircled by the shape in a three-dimensional plane is referred to as the volume of a hollow cylinder. A hollow cylinder is one that has a discrepancy between the internal and external radius and is empty on the inside. In other terms, it is a cylindrical shape with some thickness at the edges and no inside.
Because the formulas for calculating the total surface area (TSA) of a cylinder and a hollow cylinder are almost identical, use caution. TSA of a cylinder is equal to 2 rh plus 2 r2, or the surface area of the cylinder plus the area of 2 circles.
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The body is lowered to slide from the top of a smooth steep plane inclined at 45°. How long will it take the body to go down the plane of length 2.82m?
Answer:
12tfr
Explanation:
as per as calculations
X and Y starts from point A. X starts running through AB and reach point B. Y also starts running through path ABC and reach B at the same time as A. The situation is depicted in the below figure . Which of the following is/are true for the given situation.
(a) B covers longer distance but with a lower speed.
(b) A covers shorter distance with a higher speed
(c) A covers shorter distance with a lower speed.
(d) B covers longer distance with a higher speed.
The following statement(s) is/are true for the current situation: B travels farther but at a slower speed.
What are the 4 different kinds of running?Base Run You are probably already performing a base run when you go for a run. Tempo Running. Speed running, often known as sprinting, is when you run continuously at a fast speed for a brief period of time. Run in intervals
What results do 30 minutes of running have?Limiting your run to 30 minutes lowers the possibility of damage by reducing the chance of muscular weariness or overstretching. Additionally, recovery time is much shorter than it is for longer distance runs, allowing you to exercise more regularly and consistently.
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What mass of silver (in grams) is solidified when 749 joules of heat are released by a sample of molten silver at its freezing point of 962°C? The heat of fusion of silver is 109 J/g. Round your answer to the nearest hundredth.
The mass of silver solidified when 749 joules of heat are released by a sample of molten silver at its freezing point of 962°C be 7 g.
What is latent heat?The heat or energy that is absorbed or released during a substance's phase change is known as latent heat. It might go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.
Given parameters:
Total heat released during freezing: H = 749 joule.
The latent heat of fusion of silver: L = 109 J/g.
Hence, mass of silver is solidified: m = H/L = 749/107 kg = 7 g.
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Answer: 6.87 grams
Explanation:
Why do organisms make different proteins? The Darwin’s bark spider on the left makes proteins that result in spider silk with high flexibility. The Darwin’s bark spider on the right makes proteins that result in spider silk with low flexibility. Using the space below, explain why you think this happens.
Organisms make different proteins because of the gene recombination and genetics.
What is the genetics of spider silk?Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.
The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility: high, medium, and low.
The above explanation about the genetic recombination tells about why the organisms make different proteins.
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stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants t or f
Without halting, while getting cool at about constant brightness, the statement goes.
What is the name of the sun?Even though it is a star, and our own local star at that, our sun lacks a widely used and distinctive English proper name. We English people just refer to it as the sun. English speakers occasionally refer to our sun as Sol.
What really is sun in living?It emits heat and light, also known as solar energy, which enables life to live on Earth. To flourish, plants require sunshine. Humans and other animals alike depend on plants for nourishment as well as the oxygen they release. Earth would freeze absent solar heat.
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The complete question is-
Stars with more than 15 times the mass of our Sun usually evolve from the main sequence to red giants.
Two weights are attached by a rope and suspended from pulleys. The weights differ in two cases, but the systems are at rest in both cases.
As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.
define pulleys ?
A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. When a pulley is supported by a frame or shell and is used to guide a cable or apply force rather than transmit power to a shaft, the supporting shell is referred to as a block and the pulley may be referred to as a sheave.
For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the driving component of a pulley system.
As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.
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8) Calculate the PE of a 5 kg mass when it is a) 13 m, above the ground. (g = 10 N/kg) b) 6.8 m, above the ground. (g = 10 N/kg) C who
Answer:
650, 340
Explanation:
GPE = mgh
a) 5 x 10 x 13 = 650J
b) 5 x 10 x 6.8 = 340J
A ship’s wheel is rotated . Its radius is 22 cm. How far would a point on the wheel’s edge move in this rotation?
The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is 138.16 cm.
What is rotation?The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.
Given:
The radius of the wheel, r = 22 cm,
The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.
Calculate the circumference of the circle by the formula given below,
Circumference of circle = [tex]2\pi \ r[/tex]
Substitute the values,
C = 2 × 3.14 × 22
C = 138.16 cm
Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is 138.16 cm.
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What distance will a care cover while uniformly accelerating from 12m/s to26m/s in 14 seconds?
266 m distance will be covered by a car uniformly accelerating from 12m/s to 26m/s in 14 seconds.
Uniform acceleration: If a body is travelling by increasing its velocity in equal intervals of time then that body is said to be in uniform acceleration.
s=ut+1/2 at² where as s= distance , u = initial velocity, t= time
to calculate the uniform acceleration a=[tex]\frac{v-u}{t}[/tex] here v= final velocity u= initial velocity.
we have v=26ms and u=12m/s
a=[tex]\frac{26-12}{14}[/tex] = 1 a=m/s².
now substitute a =1 in formula s=ut+1/2 at²
we get s=12(14)+1/2(1)(14)²= 266m
Hence the distance covered by the car which is uniformly accelerating from 12m/s to 26m/s in 14 seconds is 266 m.
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1 The graph shows how the speed of the car varies with time.
speed
10
20
Sime/s
Which statement about the acceleration of the car between 10s and 20s is correct?
A The acceleration decreases.
B
The acceleration increases.
C
The acceleration is constant, but not zero.
D The acceleration is zero.
The speedup gets faster. while the car is properly accelerating between 10 and 20 seconds.
The ideal answer is B.
What is the process by which a particle is accelerated from 10 ms to 20 ms?A body's kinetic energy is equal to 50 times its mass when it is moving at 10 m/s, and 200 times its mass when it is travelling at 20 m/s. In other words, it takes three times as much work to accelerate a body from 0 to 10 m/s (200-50=150*mass).
What does "the acceleration due to gravity is 10 m s2" mean?The earth pulls anything toward its core, which causes the object being pulled to accelerate by 9.8 meters per second as it "falls" to earth.
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what is the ratio of ey,final, the maximum value of the y-component of the electric field immediately following the last polarizer, to eo, the amplitude of the electric field oscillations in the incident polarized beam?
That ratio is 2 .
What is ratio?A ratio is the comparison of the two numbers bydivision.
Taking the first two outputs, or the -1/8 and -1/4, we can divide not the second one by the first one to find the
ratio:
-1/4-1/8
When dividing fractions, we multiply by the reciprocal:
-1/4x-8/1
To multiply fractions, multiply straight across:
(-1x-8)/(4x1) 8/4=2
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a ladybug sits 15.2 cm from the center of a beatles music album spinning at 45.00 rpm. what is the maximum velocity (in m/s) of its shadow on the wall behind the turntable, if illuminated parallel to the record by the parallel rays of the setting sun? (enter the magnitude.)
The maximum velocity of its shadow is 0.711 m/s .
Here let the maximum linear velocity be denoted by Vmax;
let the angular velocity be
ω , and r be the circular track radius
Now , Vmax = rω
Given Beatles music album spinning at 45.00 rpm
= 45.00 ×(2π / 60) = 4.68 rad/s
So Vmax = ( 0.152) × ( 4.68)
= 0.711 m/s .
Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.
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why is a secondary rainbow dimmer than a primary bow? how are the colors arranged in the secondary bow?
Secondary rainbow is dimmer than a primary bow as : there is a second reflection with loss of light. The colors are arranged in the opposite order of the primary bow that is red on the inside instead of the outside.
Why is secondary rainbow dimmer than primary rainbow?The intensity of light is reduced further by the second reflection, therefore secondary rainbows are not as bright as primary rainbows. Fewer light rays go through four-step sequence than the three-step sequence and the color scheme of the secondary rainbow is opposite of the primary rainbow.
Double reflection in a drop produces a secondary bow and because of this extra reflection, the secondary bow is much dimmer and its colors are also reversed.
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ax = 3.0 m/s2 , ay = -4.5 m/s2 . Find the vector's magnitude and direction
The vector's magnitude is 5.4m/s²and direction is 56.30°.
Is a vector directional and has a magnitude?We will talk about vectors and scalars in this section. Quantities called vectors have both a magnitude and a direction. The indication of a vehicle's motion serves as a practical example of a vector.
Given,
ax = 3.0 m/s², ay = -4.5 m/s²
a = [tex]\sqrt{a^{2} _{x} + a^{2} _{y} }[/tex]
a = [tex]\sqrt{3^{2} +-4.5^{2} }[/tex]
a = [tex]\sqrt{9+20.25}[/tex]
a = [tex]\sqrt{29.25}[/tex]
a = 5.4m/s².
A vector's direction can be established by
α = tan⁻¹ y/x
α = tan⁻¹-4.5 / 3.0
α = tan⁻¹(1.5)
α = 56.30°.
The angle that the vector makes with the horizontal axis, or the X-axis, determines the vector's direction. By counterclockwise rotating the vector's angle at its tail toward the east, one can determine the vector's direction.
The vector's direction is therefore 23.375° away from the X-axis, i.e., the vector Ax = 26 m/s², Ay = 10 m/s² points in the direction of the North-East.
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How much work is done by 15 kW engine during 3.0 min?
W = 3.15 · 10⁶ J work is done by 15 kW engine during 3.0 min.
We are aware that power is determined using the equation P = W/t, where P equals power (W), W equals work (J), and t equals time (s)
Using this formula, we can create a formula for work by adding t to both sides of the equation.
W = Pt
Converting 15 kW to W yields 15,000 W.
3.0 minutes is 180 seconds, therefore let's convert that.
Solve for W by substituting these numbers into the work formula.
W = Pt
W = (15,000 W) · (180 s) (180 s)
W = 2700000 J
W = 2.7 · 10⁶ J
This is the amount of work a 15 kW engine can accomplish in three minutes.
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Car has mass if 500 kg is moving at 24 m/s.A lion has mass of 100 kg drops to the roof of the car from over hanging branch. Show the car will slow down to 20 m/s
The velocity of the car will slow down to 20 m/s given that the lion of mass 100 Kg drops to the roof of the car.
How do I prove that the velocity of the car will slow down to 20 m/s?To show that the velocity of the car will slow down to 20 m/s, we shall determine the common velocity of the car and the lion after collision. This shown below:
Mass of car (m₁) = 500 KgVelocity of car (u₁) = 24 m/sMass of lion (m₂) = 100 KgVelocity of lion (u₂) = 0 m/sCommon velocity (v) = ?m₁u₁ + m₂u₂ = v(m₁ + m₂)
(500 × 24) + (100 × 0) = v × (500 + 100)
12000 + 0 = v × 600
12000 = v × 600
Divide both sides by 600
v = 12000 / 600
v = 20 m/s
From the calculation made above, we can see that the common velocity of the car and the lion is 20 m/s.
Thus, we can say that the velocity of the car slows down to 20 m/s
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if the half-life of a radioactive element is 8 years, what percentage of the original sample would be left after 32 years?
6.25% is percentage of the original sample of a radioactive element would be left after 32 days.
Some elements of atomic nuclei are unstable due to the presence of excess nuclear charge inside, so these nuclei undergo radioactive decay to form stable nuclei. These elements are called radioactive elements.
After n half-lives, the fraction of the radioactive element present is given by the relation 1 / [tex]2^{n}[/tex]For 32 years
half lives can be calculated as
8 years = 1 half life
32 years = 32/8 = 4 half lives
half lives = n = 4
= 1 / [tex]2^{4}[/tex]
= 1 / 16
= 0.625
= 6.25 %
6.25% of the original sample would be left after 32 years.
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solve: what work is done when 3.0 c is moved through an electric potential difference of 1.5 v? question 15 options: 0.5 j 2.0 j 4.0 j 4.5 j
The option (d) 4.5j is correct . i.e. The work done of an electric potential is 4.5j.
The definition of work done includes both the forces applied to the body and the total displacement of the body. A constant force F is present before to this block and the force's objective is to move the body a predetermined distance (d) in a straight line in the force's direction.
We are given that,
Charge = Q = 30c
Electric potential = V = 1.5v
Therefore , the work done of an electric potential can be calculated by the formula,
W = V.Q
Putting the above given values in the above equation we can get,
W = 30×1.5
W= 4.5j
Thus, the work is done through an electric potential would be 4.5j .
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I’m so confused about this question. Could anyone pleease explain to me how to solve these kinds of questions?
Answer: 3.3m/s
Explanation:
kinetic energy=0.5*m*v^2
5.0m/s(^-1)=0.2
0.2^2=0.04
0.5*5000kg*0.04m/s=100J
0.5*2500kg*v^2=100J
Rearrange the equation:
100/0.5*2500=v^2
0.08=v^2
√0.08=v^2
0.28=v
Combined velocity= 1st lorry+2nd lorry=3.3m/s
PLEASE HELP
What was the hiker's average speed for the entire hike?
0.10 km/h
5 km/h
7.1 km/h
10 km/h
The average speed of the hiker for the entire hike is 10 km/hr. Average speed indicates the average speed during the complete course of a particular journey.
What is average speed ?By dividing the total distance traveled by the total amount of time it took to traverse that distance, one can get the average speed of an object. The rate at which an object's position changes in any direction is known as sped. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The average speed = Total distance covered / Total time taken
Total distance = 5 + 15 + 5 + 10 = 35 km
Total time = 30 + 90 + 30 + 60 = 210 mins = 3.5 hrs
According to the diagram provided, the average speed will be:
= 35 / 3.5
= 10 km/h.
Hence, the average speed is 10 km/h.
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Choose two different visual media items that express opinions about trade agreements, barriers to trade or free trade. The resource list provides some examples of visual media and guidance on where to locate them on the Internet. Be sure to include the media item, or directions on how to access it, with your assessment. Make a note of the key events and ideas evident in the item, the creator and date of origin, and be sure to read any captions or quotes that are included.
Analyze the message delivered by each of your visual media items. For each item, respond to the following questions in complete sentences. Cite evidence from the resource and the lesson to justify your responses.
What is the issue discussed in the visual media item you chose?
What is the creator’s viewpoint on the issue? What details in the resource support the author’s claim? Provide evidence from the item to support your response.
Does this viewpoint reflect a commitment to free trade or to protectionism? Explain your answer and include evidence from the item to support your response.
Do you agree or disagree with the viewpoint of the item you chose? Why or why not?
Respond to the following reflection questions based on your understanding of free trade and protectionism.
What are two benefits and two costs of free trade?
What is protectionism and why would a country base trade policy on it? Explain at least two reasons.
The first icost regarding free trade is that it nvolves the potential costs of adjustment in the industry. The second involves the possibility that more varieties will increase transaction costs.
What is free trade?Free trade can compel regional industries to up their game and rely less on government support. They have the power to attract new investments, expand markets, and boost GDP. FTAs can expose a nation to issues with local employment, the degradation of natural resources, and the loss of traditional livelihoods.
The first cost has to do with potential industry adjustment costs. The second is the potential for higher transaction costs as more varieties are available.
Government policies that impede international trade in order to support domestic industries are referred to as protectionism. However, they can also be implemented due to safety or quality concerns. Protectionist policies are typically implemented to increase economic activity within a domestic economy.
By enforcing tariffs or other trade restrictions, a protectionist trade policy enables the government of a nation to support domestic producers and thereby increase domestic production of goods and services.
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Sound can travel incredibly quickly: 1 mile in about 1 12 of a minute. Based on that, what is the approximate speed of sound?.
720 miles/h
If sound travels 1 mile for 1/12 of a minute, it means that in one minute it will travel 12 miles per minute, or 720miles per hour. so, answer is 720 miles/h
What is the coefficient of friction?
The measure of the amount of friction existing between two surfaces is known as the coefficient of friction.
When you find a coefficient of friction, you’re calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.
The power of this friction force depends on the materials that are pressing against one another. For instance, a steel bar will slide much more easily on a sheet of ice than on a slab of concrete. In these examples, the steel-on-ice combination has a much lower coefficient of friction.
Friction can wreck a piping system if it is unchecked. Reducing a pipe’s coefficient of friction is an important way to preserve metal.
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which of the following cell components are are most involved in determing an organisms traits?
The :Gene, chromosomes, and nucleus is the cell components are are most involved in determining an organisms traits.
What is meant by organism traits?As it relates to genetics, a trait is a unique quality about a person. Genes, environmental influences, or a combination of both can influence traits. Qualitative traits, like eye color, can also be quantitative (such as height or blood pressure).
Your traits, which are features or characteristics that you inherit from your parents, are determined by the information carried by your genes (say: trates). In the human body, each cell has between 25,000 and 35,000 genes.
A trait is a unique attribute, propensity, or characteristic that someone, something, or both have. In those early months, many of our personality traits are formed. Humans are creative beings. Synonyms: trait, quality, feature, attribute additional words for characteristic
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as the length of a muscle increases from its resting length of 100mm to 150mm which of the following changes in force occur? passive force increases and active force decreases passive force increases and active force increases passive force decreases and active force decreases passive force decreases and active force increases
Passive strength (passive tension or passive stiffness) typically increases when muscle length is greater than at rest, whereas active strength (also called active tension or active stiffness) is typically decreases. This relationship is known as the relationship between muscle length and tension.
The relationship between length and tension refers to the relationship between the length of a muscle and the force it produces.
In general, as muscle length increases, the connective tissue within the muscle (such as tendons and fascia) stretches, thus increasing the passive force generated by the muscle.
At the same time, muscles are less likely to generate force when stretched, so the active force generated by the muscle normally decreases.
So the correct answer to the question is:
Passive force increases and active force decreases.
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planet 1 has mass 3m and radius r, while planet 2 has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is placed halfway between their centers at point o. it is released from rest. ignore any motion of the planets. Calculate the magnitude of the acceleratiom of the rock (in m/s2) the moment it is released, using M-2x10 kg and R= 25 » 106km 1-25 10 -2.5E 7 X Attempts Real
The acceleration of the rock half-way between two planets is 1.086 m/s².
What is the acceleration of rock?The parameters provided;
3M radius of planet A.
R mass of planet A.
4M radius of planet B.
2R distance between the two planets,
r = 8R
Newton's universal gravitational law is used to calculate the gravitational force half-way (4R) between the two planets;
Fg = GmAmB/r²\
Fg = G(2M x 4M)/(4R)²
Fg = 12GM²/16R²
Fg = (12 x 6.67 x 10⁻¹¹ x (7.3 x 10²³)²) / 16(5.8 x 10⁶)
Fg = 7.925 x 10²³N
The magnitude of the rock's acceleration is calculated as follows using Newton's second law of motion:
F = ma
a = F/m
a = 7.925 x 10²³/7.3 x 10²³
a = 1.086m/s²
As a result, the rock's acceleration is 1.086 m/s².
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at the end of chapter 1, nick sees gatsby near the water in front of his property. gatsby appears to stretch his arms toward a light on the end of the dock across the water. what color is the light?
Gatsby appears to stretch his arms toward a light on the end of the dock across the water. the color of the light is green.
In the first chapter of the book, Nick first meets Jay Gatsby. Gatsby is remaining in his gallery holding his arms out to approval across the sound. It turns out that this green light is the one on the dock of Daisy Buchanan's house.
The green light that Gatsby watches across the water, which simultaneously represents Gatsby's love for Daisy, money, and the American Dream, is one of The Great Gatsby's most memorable images. Before Nick has even met Gatsby, we see the green light for the first time at the end of Chapter 1, and we immediately recognize it as a mysterious and potent object with significant symbolic significance for Gatsby. Gatsby bought his house so that he could see the green light every night because it hangs at the end of Daisy's dock.
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Use Q=mCΔt : PCl3 is a compound used to manufacture pesticides. A reaction requires that 96.7 g of PCl3 be raised from 31.7 oC to 69.2 oC. How much energy will this require given that the specific heat of PCl3 is 0.874 J/g oC? Please explain fully . Im trying to understand this
The quantity of heat required is 1229.1 J
What is specific heat capacity?The specific heat capacity of a substance is the quantity of heat required to increase the temperature of a unit mass of the substance by 1°C or 1k. it measure in J/kg/k.
The specific heat capacity of a substance is denoted by 'C'. And it is expressed as C = Q/m∆t
where ∆t is the change in temperature, Q is the quantity of heat energy required and m is the mass of the substance.
therefore Q=mCΔt
Q= 96.7× 0.874×(69.2-31.7)
Q= 1229.1J
Thereore the heat required to increase the temperature from 31.7°C to 69.2°C is 1229.1J
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What part of the stopping distance does reaction time effect?
Reaction time is the time it takes for a driver to recognize a hazardous situation and initiate a response, such as braking or steering. It is one component of the total stopping distance of a vehicle. The other components of stopping distance include the distance traveled during the period of reaction time (the distance the vehicle travels before the driver begins braking) and the braking distance (the distance the vehicle travels while the brakes are applied).
The stopping distance of a vehicle can be calculated using the following formula:
Stopping distance = reaction time + distance traveled during reaction time + braking distance
In this formula, the reaction time is the time it takes for the driver to recognize the hazardous situation and initiate a response, the distance traveled during reaction time is the distance the vehicle travels during this time period, and the braking distance is the distance the vehicle travels while the brakes are applied.
It is important for drivers to be aware of their reaction time and how it can affect their stopping distance. Factors that can affect reaction time include a driver's level of alertness, the complexity of the driving situation, and the driver's age, among others. By understanding their reaction time and the factors that can affect it, drivers can better anticipate and respond to hazardous situations on the road, helping to reduce the risk of accidents and injuries.
a bullet of mass m1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. the initial speed of the bullet is vi . consider two cases, a completely inelastic one and an elastic one,where the bullet bounces off the block.
The ratio of time of flight for inelastic collision to elastic collision is 1 : 2.
An inelastic collision is a type of collision in which the kinetic energy does not remain the same before and after the collision, while an elastic collision is a type of collision in which the kinetic energy remains the same before and after the collision.
initial kinetic energy = final kinetic energy(1/2)*m*u² = (1/2)*m*v²mass of the bullet, = m₁
mass of the block, = m₂
initial velocity of the bullet, = u₁
initial velocity of the block, = u₂ = 0
final velocity of the block = v
When inelastic motion is considered:final velocity of the b can be calculated by the formula,
m₁u₁ + m₂u₂ = v ( m₁ + m₂)
v = ( m₁u₁ + m₂u₂ ) / ( m₁ + m₂)
According to the equation of motion,
v = u + at
u = o
v = at ( a=g )
t = v/g
t = ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)}
When elastic motion is considered:final velocity will be given by ,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Since u₂ = 0
m₁u₁ = m₁v₁ + m₂v₂
the block undergoes unidirectional motion,
so u₁ + (-v₁) = u₂ + v₂
v₁ = u₁ - v₂
therefore, m₁u₁ = m₁(u₁ - v₂) + m₂v₂
v₂ = 2m₁u₁ / ( m₁ + m₂)
According to the equation of motion,
v = u + at
u = o
v = at ( a=g ) ( v=v₂) ( t=t₂)
t₂ = v₂/g
t₂ = 2m₁u₁ / g( m₁ + m₂)
Ratio of t₁ and t₂ is ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)} / 2m₁u₁ / g( m₁ + m₂)
t₁ : t₂ = 1 : 2.
The question is incomplete, the complete question is:
A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one, where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time
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