A stone is thrown vertically downward from a cliff, the initial speed of the stone is 76.246m/s.
CalculationHeight of the cliff = 208m
Distance travelled during last half second = 48.5 m
According to the second equation of motion:
[tex]s1= vt + 1/2 gt^{2}[/tex]
[tex]v= (2x_{1} - gt^{2})/2t[/tex]
v= [tex]\frac{2(48.5) - (9.8)(0.5)^{2} }{2(0.5)}[/tex]
v= 94.55 m/s
If the initial speed of the ball is u,
then again from the equation of motion, we get initial speed as
u=[tex]\sqrt{v^2 - 2gh}[/tex]
=[tex]\sqrt{94.55^2 -2(9.8)(208-48.5)}[/tex]
u= 76.246 m/s
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2. the microscope is an instrument of measurement. measure the size of an object that fills ½ of the field of view under high power, 400x. show your math.
The size of the object is 200 micrometers.
Size of the object = (Diameter of the field of view) / Fit number
Field of view of high power magnification 400X = 0.40mm
Fit number = 2 (object fills ½ of the field of view )
Size of the object = 0.40 / 2 = 0.2mm = 200 micrometer.
Work is completed at a rate determined by power. The Watt is the common metric unit of power. A unit of power is adequate for one unit of work divided by one unit of time, as suggested by the facility equation. As a result, one Watt is adequate for one Joule/second. The term "horsepower" is occasionally wont to describe a machine's output of power for historical reasons. The equivalence of horsepower is roughly 750 Watts. a person is a machine, a bit like a machine with a power rating. Some people possess greater strength than others. In other words, some people have the power to accomplish the same amount of work in the same amount of time or in less time.
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Polar latitudes have a solar radiation deficit.
Answer: TRUE
Explanation:
choose the correct realistic problem for which this is the correct equation. choose the correct realistic problem for which this is the correct equation. at what distance along the axis of a charged disk is the electric field strength double its value at the center of the disk? give your answer in terms of the disk's radius r . at what distance along the axis of a charged disk is the electric field strength half its value at the center of the disk? give your answer in terms of the disk's radius r . at what distance along the axis of a charged square is the electric field strength double its value at the center of the square? give your answer in terms of the square's side r . at what distance along the axis of a charged square is the electric field strength half its value at the center of the square? give your answer in terms of the square's side r .
The correct realistic problem for the given equation is problem 1 in which the electric field strength of the disc is half its value at the center of the disk.
We know that,
Electric field of a charged disc at a distance along its axis is given by,
E = σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) )
Electric field at the centre of a charged disc is given by,
[tex]E_{c}[/tex] = σ / 2 ε ( Since at centre, x = 0 )
Distance along the axis of a charged disk, where electric field strength's value is half its value at the center of the disk.
[tex]E_{x}[/tex] = [tex]E_{c}[/tex] / 2
σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) ) = ( σ / 2 ε ) / 2
x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) = 1 / 2
4 [tex]x^{2}[/tex] = [tex]x^{2}[/tex] + [tex]r^{2}[/tex]
3 [tex]x^{2}[/tex] = [tex]r^{2}[/tex]
x = r / √ 3 ,which is the correct distance, when magnitude is half its value from centre.
Electric field is a field that surrounds electrically charged particles that exerts force on other charged particles in the field.
Therefore, the given equation is suitable for Electric field of a charged disc at a distance along its axis where electric field strength's value is half its value at the center of the disk.
The given question is incomplete. The completed question is
You are given the following equation to solve a problem:
σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) ) = [tex]E_{c}[/tex] = σ / 2 ε
Choose the most realistic problem for which this could be the correct equation.
1 ) At what distance along the axis of a charged disk is the electric field strength half its value at the center of the disk? Give your answer in terms of the disk's radius R.
2 ) At what distance along the axis of a charged disk is the electric field strength double its value at the center of the disk? Give your answer in terms of the disk's radius R.
3 ) At what distance along the axis of a charged square is the electric field strength double its value at the center of the square? Give your answer in terms of the square's side R.
4 ) At what distance along the axis of a charged square is the electric field strength half its value at the center of the square? Give your answer in terms of the square's side R.
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What is the peak current through a 484 w room heater that operates on 110 v ac power?
Through a 484-w room heater that operates on 110 v ac power, the peak current would be 6.22A
Concept of Peak current:The maximum amount of current that an output is capable of sourcing for brief periods of time is known as the peak current.
When an electrical device or power supply is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.
What is the peak current or the RMS currentPeak current is the highest current present at any particular moment. On the other side, RMS currents are the average currents.
CalculationIo =?
Power = Vrms x Irms = 484
⇒ 484 = 110v x Io/ [tex]\sqrt{2}[/tex]
Io = (484 x [tex]\sqrt{2}[/tex]) / 110
Io = 6.22A
Thus, the peak current is 6.22A
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A student fires a cannonball vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building. Determine all unknowns and answer the following questions.
What was the cannonball's maximum height (measured from the ground)?
With what speed did the cannonball strike the building?
What was the cannonball's total flight time?
Using the equations of kinematics, we obtain the following results;
Maximum height of the cannonball = 59 mVelocity with which the ball strikes the building = 24 m/sTotal time of flight of the cannonball = 7 secsWhat is the maximum height?The maximum height is the height that was attained by the projectile. In this case, we have the fact that the projectile was fired vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building.
1) The maximum height could be obtained from;
v^2 = u^2 -2gh
v = final velocity ( 0 m/s at the maximum height)
u = initial velocity = 34.0m/s
g = acceleration due to gravity = 9.8 m/s^2
h = maximum height attained
Since v = 0 m/s
u^2 = 2gh
h = u^2/2g
h = (34)^2/ 2 * 9.8
h = 1156/19.6
h = 59 m
2) Given that the distance covered from the maximum height to the top of the building = 59 m - 30 m = 29 m
v^2 = u^2 + 2gh
In this case, the initial velocity is zero because the cannonballs dropped from a height
v^2 = 2gh
v = √2gh
v = √2 * 9.8 * 29
v = 24 m/s
Given that;
v = u - gt
v = 0 m/s when the cannon ball is projected upwards;
u = gt
t = u/g
t = 34.0m/s/9.8 m/s^2
t = 3.5 secs
The total time spent in air = 2(3.5 secs) = 7 secs
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why did a glass bottle with a water burst at night in the cold on a glazed balcony?
Answer:
i guess if the a glass gets to cold it will bust
Explanation:
Pure water has a density of 1000 kg/m³. Explain what will
happen to a block of material with a density of 1020 kg/m³
when placed into:
sea water
pure water.
The block of material with a density of 1020 kg/m³ when placed into pure water will sink.
What is the density of an object?The Density of an object is the ratio of the mass and volume of the object.
density = mass/ volumeThe density of an object measure how compact the particles of an object are.
Dense objects have particles that are tightly packed together whereas less dense objects have particles that are less tightly packed together.
A denser solid will sink in a less dense liquid.
A less dense solid will float in a denser liquid,
Comparing the densities of the solid object and the density of water.
The block of material has a greater density than water. Hence, the block of material will sink in water.
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a vertical piston-cylinder device contains a gas pressure of 150 kpa. the piston has a mass of 12 kg and a diameter of 15 cm. pressure of the gas is to be increased by placing some weights on the piston
The local atmospheric pressure can be determined from the total pressure at the initial state:
What is mass?
Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass. The kilogram serves as the SI's fundamental mass unit.
Therefore,
a vertical piston-cylinder device contains a gas pressure of 150 kpa. the piston has a mass of 12 kg and a diameter of 15 cm. pressure of the gas is to be increased by placing some weights on the piston
The local atmospheric pressure can be determined from the total pressure at the initial state:
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Ionic Bonds are formed when two elements _________________.
two or more atoms loss or gain electrons to form an ion
Explanation:
up above
6. A rock is dropped from a cliff and takes 6 seconds to hit the ground. At what time is the
speed of the rock the highest?
Answer:
Acceleration due to gravity = g = 9.8 m/s²
Time to reach ground = t = 6 sec
Initial Velocity of the Rock = Vi = 0 m/s (Because, the rock will be at rest, initially)
Hope this answer helps you out!
. the a string of a violin is a little too tightly stretched. beats at 4.00 per second are heard when the string is sounded together with a tuning fork that is oscillating accurately at concert a (440 hz). what is the period of the violin string oscillation?
The period of the violin string oscillation is 2.25 x 10 3 s.
Let T be the period.
The beat frequency is then equal to 1/T440Hz=4.00 beats/s.
T thus equals 2.25 x 10 3 s.
The "too tightly stretched" string has more tension, which causes it to have a higher (fundamental) frequency.
The process of any quantity or measure fluctuating repeatedly about its equilibrium value in time is known as oscillation. A periodic change in a substance's value between two values or around its central value is another way to define oscillation.
The time it takes the particle to complete one oscillation is known as the period (T) of the oscillation. The particle travels in the same direction and via the same point after time T.
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a piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. knowing that the drill exerts a 12-n⋅m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at a and b, (b) at b and c, (c) at a and c.
The measure of a force is known as the magnitude of the force. When two or more forces act on a body, the total sum of the forces acting on it is known as the magnitude of the resultant force.
In simpler terms, the sum of the total force is the resultant force.
The magnitude of the resulting forces can be calculated by
[tex]R = \frac{Couple}{Position}[/tex] where R is the resultant force.
Forces at
(a) A and B
AB = 0.45m
R * (0.45m) = 12 N-m
R = [tex]\frac{12}{0.45}[/tex]
R = 26.66 N
(b) B and C
BC = 0.24m
R * (0.24m) = 12 N-m
R = [tex]\frac{12}{0.24}[/tex]
R = 50 N
(c) A and C
AC = [tex]\sqrt{AB^{2} +BC^{2} }[/tex]
AC = [tex]\sqrt{(0.45)^{2} + (0.24)^{2} }[/tex]
AC = 0.51m
R * (0.51m) = 12 N-m
R = [tex]\frac{12}{0.51}[/tex]
R = 23.9 N
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There are different colors of visible light because
Answer:
he wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength,
hop this helps
We see different wavelengths of light as different colors because they are associated to different wavelength, which activates different cells in the retina.
What is the transformed numeric value for employment length (emp_length) for those working more than 10 years?
The possible values lie between 0 to 10. The transformed numeric value can be 10.
Why are numerical features transformed?The skewed features need to be transformed in order to make them regularly distributed. With square root, cube root, and logarithm transformation, right-skewed features can be made normal.
How may Excel be used to turn non-numeric data into numeric data?Choose the cells that have text-based numbers recorded in them. Then Click Paste > Paste Special on the Home tab. After selecting Multiply, select OK.
Excel multiplies each cell by 1, converting the text to numbers in the process.
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a plane accelerates from rest at a constant rate of along a runway that is long. assume that the plane reaches the required takeoff velocity at the end of the runway. what is the time needed to take off?
The time required to take off is 26.84 s
SOLVING THE EQUATION :
First of all, we can find the velocity at which the plane takes off, using the equation :
v ²-- u² = 2ad
where
v is the take-off velocity
u = 0 is the initial velocity
a is the acceleration
d = 1800 m is the distance covered
Solving for v,
v = √2ad
= √2(5)(1800)
= 134.3 m/s
The time needed to reach this velocity can be found by using
v = u+at
And solving for t,
[tex]t = \frac{v-u}{a} \\\\ = \frac{134.2-0}{5}[/tex]
= 26.84 s
Time needed to take off is = 26.84 s
Kinematics Problems:An interesting scenario when describing the kinematic of a body (or system of bodies) is its motion under constant acceleration. Quantitative calculations for this type of motion require the use of kinematic equations, which relate the quantities that describe the motion of the body. the acceptable kinematic equation to be used depends on whatever motion quantities are given in the problem
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A reconnaissance
plane flies 584 km away
from its base at 940 m/s, then flies back to its
base at 1410 m/s.
What is its average speed?
Answer in units of m/s.
The average speed of the plane is 1128m/s.
The entire distance covered by the object in a specific amount of time is its average speed. Average speed exists as a scalar quantity. The magnitude serves as its representation, and it lacks direction.
Given:
Distance one way = 584km
Speed from its base = 940m/s
Speed back to base = 1410m/s
To find:
Average speed, Avg = ?
Formula:
Avg = total distance / total time
Calculations:
Total distance = 584 + 584 = 1168km = 1168000m
Total time = (584000/940) + (584000/1410)
Avg = 1168000 / [(584000/940) + (584000/1410)]
Avg = (2 x 940 x 1410) / (1410 + 940)
Avg = 2650800 / 2350
Avg = 1128m/s
Result:
The average speed of the plane is found to be 1128m/s.
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A control is the___by which test___ can be compared.
A control is the standard by which test variables can be compared.
What is an experiment?An experiment is a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy of something previously untried.
In an experiment, controlling an experiment means designing an experiment so that the effects of one or more variables are reduced or eliminated.
A control is a separate group or subject in an experiment against which the results are compared.
Therefore, it can be said that a control is the standard by which test variables can be compared.
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Victoria Falls is a waterfall on the Zambezi River in southern Africa, which provides habitat for several unique species of plants and animals. It is located on the border between Zambia and Zimbabwe and is one of the world's largest waterfalls, with a width of 1,708 m (5,604 ft). Victoria falls 20.0 meters into a pool of water below. If she lands 2.8 meters away from the diving platform, what was her horizontal velocity?
Answer:
Explanation:
.
How can you solve for m,meaning you have to isolate m?
Here in this question, the formula used is of The Simple Harmonic Motion.
Simple harmonic motion is the motion of a particle traveling in a straight line with an acceleration that is always directed toward the single point directly and whose value is related to the distance from the fixed point. Simple harmonic motion is a type of periodic motion. While basic harmonic motion is an oversimplification, it is nevertheless an excellent approximation. Simple harmonic motion is useful in research because it may be used to describe oscillations in wind generators and vibrations in automotive suspensions. A form of oscillating motion is simple harmonic motion. It is used to simulate numerous real-world scenarios in which a mass vibrates about an equilibrium position. A mass on the spring is one example of such a circumstance.
T = 2π√(m/k)
T²/4π² = m/k
m = k (T²/4π²)
Hence m is isolated from the question and is written as m = k (T²/4π²).
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which is a better deal?
a, 1 liter of gas for $1.50
b, same amount of gas for the same amount of money
c, 1 gallon of gas for $4.00
A Man's mass on earth is 45kg. What is his mass and weight on space
The correct answer is 441 N.
The force that pulls objects toward the centre of the Earth is known as earth gravity. The acceleration of all the bodies that are affected by gravity is almost equal to the strength of the gravitational field.
The force exerted on an object by gravity is known as the weight of a body.
As a result, we can state that weight is only a force.
Given that the mass of a person on earth is = 45 kg
and that gravity's acceleration on earth is = 9.8 ms^2.
Weight, then, is defined as mass multiplied by the gravitational acceleration, or W = m × g.
W = 45 × 9.8
W = 441 N
Hence, the total weight on Earth will be 441 Newton.
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Haru always wanted to be a marathon runner and he set his first goal to run five miles in 50 minutes, but while he was trying to meet his objective, he
noticed that he is a really fast sprinter and would have greater success in short races. What behavioral trait BEST describes Haru's personality?
Short races trait is the BEST describes Haru's personality . and to run a marathon, you have to run 26.2 miles by foot , it is not easy.
MarathonThe word "marathon" originates in a Greek myth. According to the myth, a gallant soldier sprinted from the Marathon battlefield all the way to Athens, Greece, to inform everyone that the Greeks had defeated the Persians. It is claimed that he covered the entire distance, which is equivalent to a current marathon, without pausing.A marathon requires a lot of effort. It requires perseverance, practice, and hard effort. After all, you must run 26.2 miles on foot to complete a marathon! Consider it like this: 26.2 miles is equivalent to more than 460 times around a football field.To learn more about Marathon refer:
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What is the answer to this problem .
A,B,C or D ?
Option B, the fact that the rubber band is made up of elastic material ensures that it possesses mechanical energy as mechanical energy is stored in the form of kinetic and potential energy.
What is mechanical energy?Mechanical energy is one form of energy in which the total energy is conserved in the form of kinetic and potential energy. In mechanical energy kinetic energy changes into potential energy and vice-versa.
What is an elastic material?Elastic materials are types of materials that get back to their original shape after getting stretched by an external force. For example, rubber is an elastic material because it is stretched when force is applied to it but returns to its original shape once the forces are removed.
Now in the given question we have been asked why rubber band has mechanical energy.
The first option states because of mass but since the meaning of mass does not insure that it is only mechanical energy it could also be electrostatic energy or any other form of energy.
Option B talks about the elastic nature of rubber band which is a correct answer to the question.
Elastic nature of the rubber band ensures that the total energy remains conserved in the form of mechanical energy.
In rubber band when it is stretched in the stressed position it stores energy in the form of potential energy.
While it is released from stretched position the energy gets converted into kinetic energy therefore conserving the total mechanical energy.
Therefore option B which states that the mechanical energy of the rubber band exist because of elastic nature of the material of the rubber band is the correct option.
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If 500j of energy were added to 1kg of each of these samples, which would expiernce the least temperature increase?
If 500J of energy was added to one each sample of Aluminum, Brass, Copper, and Platinum, Aluminum will experience the least temperature increase.
This can be explained with the concept of Specific heat. Specific heat may be defined as the heat required to raise the temperature of a unit mass of a substance by 1°C.
Now the relation between Heat and temperature change can be given by:
Q=mSΔT; where m is the mass of the given substance, S is the specific heat capacity and ΔT is the temperature change.
Since the mass of all the samples is the same and the same amount of energy is added to them then the temperature change is inversely proportional to Specific heat capacity.
ΔT∝1/S
Out of all the samples' given Aluminum has the highest Specific heat.
Thus, the temperature change is least for aluminum.
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Complete Question:
If 500j of energy were added to 1kg of each of these samples of Aluminum, Brass, Copper and Platinum then which would experience the least temperature increase?
electrons, like all other matter, exhibit the dual behavior of both particles and waves. since electrons travel like waves, their energy is restricted to certain energy , each of which is associated with a specific wavelength
Electrons, like all other matter, exhibit the dual behavior of both particles and waves. Since electrons travel like waves, their energy is restricted to a certain energy level, each of which is associated with a specific wavelength.
Wave-particle Duality:Wave-particle duality is the idea that matter and energy have characteristics that are typical of both waves and particles. Depending on the circumstances, the matter may be seen as a wave or a particle.
Objects with huge masses, like baseball, have such small wavelengths that they are best regarded as particles. On the other hand, objects with small masses, like photons, have huge wavelengths and are best regarded as waves. However, objects with intermediate masses, like electrons, have characteristics of both particles and waves.
As a result, in 1924 de Broglie hypothesized that a particle like an electron may be characterized by a wave. Since electrons are waves, their energy is limited to specific energy levels, each of which corresponds to a given wavelength which is given by
[tex]\lambda =\dfrac{h}{mv}[/tex]
Where h ⇒Planck’s constant,
m ⇒ mass of the particle
v ⇒ velocity of the particle
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Fill in the blank:
Electrons, like all other matter, exhibit the dual behavior of both and Since electrons travel like waves, their energy is restricted to a certain energy , each of which is associated with a specific wavelength.
a horizontal 52-N force is needed to slide a 50 kg box across a flat surface at a constant velocity of 3.5 m/s. What is the coefficient of kinetic friction between the box and the floor?
The coefficient of kinetic friction between the box and the floor is 0.11.
What is coefficient of friction?
Coefficient of friction is a measure of the amount of friction existing between two surfaces.
The coefficient of kinetic friction between the box and the floor is calculated as follows;
F - Ff = ma
where;
a is the acceleration of the boxm is mass of the boxFf is frictional forceF is applied forceF - μmg = ma
at a constant velocity, acceleration, a = 0
F - μmg = 0
F = μmg
μ = F/mg
μ = (52) / (50 x 9.8)
μ = 0.11
Thus, the coefficient of kinetic friction between the box and the floor is 0.11.
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My observation is that no object on planet Earth will keep going in one direction forever and never slow down. Because of friction, and air resistance, objects will eventually slow down (from free fall or motion).
Newton's first law (Law of Inertia) states that all objects in motion will stay in motion until acted upon by an outside force.
Can anyone give an example where an object on Earth follows Newton's first law?
An example where an object on Earth follows Newton's first law is a ball rolling on the ground.
What is Newton's first law of motion?
Newton's first law of motion states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Examples of Newton's first law of motion;
Brakes applied by a bus driver abruptlyAn object placed on a plane SurfaceA ball rolling on the ground.Thus, an example where an object on Earth follows Newton's first law is a ball rolling on the ground.
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There are no dangers when someone is underweight.
True
False
Question 2 (1 point)
Which of the following does NOT make up your body composition?
a
Muscles
b
Bones
c
Stomach Contents
d
Fat
e
Tissues
f
Organs
Question 3 (1 point)
A bathroom scale is the best measure of health.
True
False
Question 4 (1 point)
Which of the following is not true about being underweight?
a
Being underweight can lead to a lack of stored energy.
b
Being underweight can lead to lack of organ protection.
c
Being underweight can lead to infertiility.
d
Being underweight is healthy and there are no health issues.
Question 5 (1 point)
You cannot tell how healthy someone is by how they look on the outside.
True
False
as a traffic light turns green, a waiting car starts with a constant acceleration of 1.99 m/s2 x. at the instant the car begins to accelerate, a truck with a constant velocity of 29.44 m/s x passes in the next lane. how much time does it take for the car to catch up with the truck again?
It will take 29.58s of time to for the car to catch up with the truck again.
What is the the relation between velocity and time?The distance an object travels in a certain length of time is measured as velocity. The link between separation, speed, and time is expressed by the following word equation: Distance traveled divided by journey time equals velocity.
As we know,
distance = velocity × time
Given,
acceleration = 1.99 m/s2
constant velocity = 29.44 m/s
d = v₀ × t + 1/2 × a × t²
for v₀ = 0,
v × t = 1/2 × a × t²
⇒ t = 2v / a
⇒ t = 2 × 29.44 / 1.99
⇒ t = 29.58s
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A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises explain why (3marks)
The observation is due to heat transfer from the stearic acid to the water, and as a result, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.
What is heat transfer?Heat transfer is the process by which heat energy moves from one body or object to another.
Heat is transferred from a hotter to a colder object.
There are three major processes of heat transfer, they are:
conductionconvection, and radiationConduction is a for of heat transfer which occurs without actual movement of the molecules, but as result of the vibration of the particles thereby transferring energy from one molecule or particle to the next.
Considering the observation above:
A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises.
The given observation is because heat has been transferred from the stearic acid to water. Thus, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.
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