As the block continues forever, energy is conserved.
From the law of conservation of energy, the initial mechanical energy at the top of the inclined track, E equals the final mechanical energy at the bottom of the inclined track, E'.
E = E'
U + K = U' + K' where U = initial potential energy, K = initial kinetic energy, U' = final potential energy = 0 J (since it is on level ground) and K' = final kinetic energy.
So, U + K = U' + K'
U + K = 0 + K'
U + K = K'
We observed that the total final mechanical energy is kinetic.
Since the block continues on the infinite flat surface forever, there are no frictional forces acting on it.
And according to Newton's first law of motion, which states that a body will continue in its state of uniform motion or rest unless a force acts upon it to change its state of uniform motion or rest, the block will continue in its motion since no other forces act on it.
Since, the total final mechanical energy is kinetic, energy is conserved.
So, as the block continues forever, energy is conserved.
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The half-life of Silver-105 is 3.57 x 106 seconds. A sample contains 5.78 x 1017 nuclei. What is the decay constant for this decay?
Answer:
The decay constant, or "lambda" (λ), is the rate at which a radioactive isotope decays. It is usually measured in units of inverse time, such as seconds. In this case, the decay constant can be calculated as follows:
16:42
λ = (ln(2)/3.57 x 106) x (5.78 x 1017) = 0.
Explanation:
Tired of being chased by a jaguar, you set a trap. Hoping to drop it on the jaguar, you try to push a
44.0 kg stone boulder off of the edge of a cliff that slopes down at an angle of 15.0°. Being weak with
hunger, the best you can do is push the boulder with a force of 222 N. The coefficient of kinetic friction
between the boulder and the ground is is 0.700. (Ignore static friction.)
What is the acceleration of the boulder while you push it down the incline?
Answer: acceleration = 3.27m/s^2
Explanation:
Given that the
Mass M = 44kg
Angle Ø = 15 degree
Coefficient of friction ų = 0.7
Force F = 222N
F - Fr = ma ...... (1)
Where Fr = frictional force
Fr = ųN
N = normal reaction = mg
Fr = ųmgsinØ
Fr = 0.7 × 44 × 9.81 × sin 15
Fr = 78.2N
Substitutes Fr, F and M into equation one.
222 - 78.2 = 44a
143.79 = 44a
Make a the subject of formula
a = 143.79/44
Acceleration a = 3.27 m/s^2
Question 1 of 10
When thermal conduction is occurring within a solid, what happens to its
particles?
A. They begin to move more slowly.
B. They move in the same direction.
C. They vibrate faster.
O O
D. They move past each other.
SUBMIT
Answer is C
When thermal conduction is occurring within a solid, the particles vibrate faster. (option C)
When thermal conduction occurs within a solid, the particles of the solid undergo certain changes. Here is a step-by-step explanation:
Thermal conduction:
Thermal conduction is the transfer of heat energy within a solid material due to the movement of its particles. It occurs when there is a temperature gradient within the solid, where one end is at a higher temperature and the other end is at a lower temperature.
Particle motion:
In a solid material, the particles are closely packed and held in a fixed position by intermolecular forces. However, when thermal energy is supplied to the solid, the particles gain kinetic energy and begin to vibrate.
Increased kinetic energy:
The transfer of heat energy causes the particles to gain kinetic energy, which results in increased vibrational motion. The particles oscillate around their equilibrium positions more vigorously.
Vibrational motion:
As the particles vibrate faster, their amplitude of vibration increases. This increased vibrational motion allows the particles to pass on their kinetic energy to neighboring particles through collisions.
Transfer of heat:
The faster vibration of particles enables the transfer of heat energy from higher temperature regions to lower temperature regions within the solid. The particles with higher kinetic energy collide with neighboring particles, transferring the thermal energy.
In summary, during thermal conduction within a solid, the particles do not move in the same direction, move past each other, or slow down. Instead, they vibrate faster around their equilibrium positions, enabling the transfer of heat energy through the solid material.
Therefore, the correct answer is C. They vibrate faster.
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  In one demonstration, a balloon was placed over a bottle.  It was heated and cooled to cause a change in volume.  Which best describes what happened in the balloon?
When the air was cooled, the molecules sped up and expanded, lowering density
When the air was heated, the molecules slowed down and contracted, lowering density
When the air was cooled, the molecules slowed down and contracted, raising density
When the air was heated, the molecules sped up and expanded, raising density
Answer:
When the air was cooled, the molecules slowed down and contracted, raising density. As the air was cooled, the temperature decreased which caused the molecules to slow down. This decrease in speed caused the molecules to come closer together, increasing the air's density and thus decreasing the volume of the air within the balloon. Conversely, when the air was heated, the molecules sped up and expanded, lowering density. This increase in temperature increased the speed of the molecules, causing them to spread farther apart and decreasing the density of the air within the balloon, resulting in an increase in volume.
Explanation:
Answer:
When the balloon was placed over the bottle and heated, the air inside the bottle expanded due to an increase in temperature. As a result, the air molecules collided more frequently and with greater force, causing them to move apart and take up more space. Some of this expanded air moved out of the bottle and into the balloon, causing the balloon to inflate.
Explanation:
When the balloon and bottle were cooled, the opposite happened. The air inside the bottle contracted as it cooled, meaning that the molecules moved closer together and took up less space. This caused some of the air to be drawn back out of the balloon and into the bottle, causing the balloon to deflate.
In summary, the change in volume of the air inside the bottle due to changes in temperature caused the balloon to inflate and deflate.
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please someone help me !!
 
                                                Answer:
D
Explanation:
because if the solvent is more than the solvent then we can't resolve it.
so our product will be suspended
How does the period of a wave change if the frequency increases by a factor of three?
Answer:
Period becomes 1/3 of the original
Explanation:
Period = 1/f if f becomes 3f then period becomes 1/3 of the original
If you live in Melbourne, Australia, the local magnetic field has a strength of about 4x10-5 T. The magnetic field vector is directed northward, making an angle of 30 deg above the horizontal. An electron in Melbourne is moving parallel to the ground, in the west direction, at a speed of 9x105 m/s. What are the magnitude and direction of the magnetic force on the electron
Answer:
\(5.76\times 10^{-18}\ \text{N}\) perpendicular to the velocity and magnetic field
Explanation:
B = Magnetic field = \(4\times 10^{-5}\ \text{T}\)
\(\theta\) = Angle the magnetic field makes with the horizontal = \(30^{\circ}\)
v = Velocity of electron = \(9\times 10^5\ \text{m/s}\)
q = Charge of electron = \(1.6\times 10^{-19}\ \text{C}\)
Magnetic force is given by
\(F=qvB\sin\theta\\\Rightarrow F=1.6\times 10^{-19}\times 9\times 10^5\times 4\times 10^{-5}\sin30^{\circ}\\\Rightarrow F=2.88\times 10^{-18}\ \text{N}\)
The magnitude of the magnetic force is \(2.88\times 10^{-18}\ \text{N}\) and the direction is perpendicular to the velocity and magnetic field.
ayuden ha resolver este ejercicio porfa
 
                                                Answer:
un café y a seguir pensando porque no se la respuesta xd
An aeroplane, flying in a straight line at a constant
height of 500m with a speed of 200ms drops a
food package. The package takes a time t to reach
the ground and travels a horizontal distance d in
doing so. Taking g as 10ms 2, and ignoring air
resistance, what are the values of t and d??
Answer:
200
Explanation:
Suppose a radio signal (light) travels from Earth and through space at a speed of 3 × 10^8/ (this is the speed of light in vacuum). How far (in meters) into space did the signal travel during the first 10 minutes?
Answer:
Explanation:
we know that
s=vt here v is the speed and s is distance covered by the signals
given data
v=3*10^8
t=10 min we have to convert it into seconds
1 minute=60 seconds
so
10 minutes =10*60/1 =600 seconds
now putting the value of v and t we can find the value of s
s=vt
s=3*10^8*600
s=1.8*10^11m
i hope this will help you
Speed is the rate of distance over time.
The signal will travel \(1.8 \times 10^{11}\) meters in the first 10 minutes
The given parameters are:
\(s = 3 \times 10^8\ ms^{-1}\) ---the speed of light
\(t = 10\ min\) -- the time of travel
The relationship between speed, distance (d) and time is:
\(s = \frac dt\)
Make d the subject
\(d = s \times t\)
Substitute values for t and s
\(d = 3 \times 10^8\ ms^{-1} \times 10\ min\)
Convert minutes to seconds
\(d = 3 \times 10^8\ ms^{-1} \times 10 \times 60s\)
So, we have:
\(d = 3 \times 10^8\ m \times 10 \times 60\)
\(d = 18 \times 10^{10}m\)
Rewrite as:
\(d = 1.8 \times 10^{11}m\)
Hence, the signal will travel \(1.8 \times 10^{11}\) meters in the first 10 minutes
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The man's body will increase by a factor of 10 in each dimension. What will be his new mass?
Express your answer using two significant figures.
The new mass of the man will be 7.0 x 10^4 kg.
What is mass?Mass (symbolized m) is described as a dimensionless quantity representing the amount of matter in a particle or object.
Let us say that the density of the man's body remains constant,
we have the new mass to be 10^3 = 1000 times greater than his original mass.
New mass = 1000 x M
mass of an adult male = 70 kg (This value is an assumed value)
New mass = 1000 x 70 kg
New mass = 7.0 x 10^4 kg
New mass =7.0 x 10^4 kg
Therefore, the new mass of the man is found to be 7.0 x 10^4 kg.
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On a hot day, you sit on the edge of a pool and dip your feet into the water, causing changes to occur that are related to the physical and thermal properties of your feet and of the water. Select the statements that accurately describe what is happening, in terms of the heat and temperature of the objects and substances. There may be more than one accurate statement.
The true statements are;
Heat from your feet raises the temperature of the water.
Your feet transfer heat into the surrounding water, reducing the temperature of your feet. B and C
What are thermal changes?The term thermal changes has t do with the changes in the heat properties of the substance. We know that when you put your leg in water there is a thermal exchange between the water and your leg.
Owing to the fact that heat is transferred from your leg to the water, your leg will feel cool while the temperature of the water will increase slightly.
Having said all these, the true statements are;
Heat from your feet raises the temperature of the water.
Your feet transfer heat into the surrounding water, reducing the temperature of your feet.
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Missing parts;
On a hot day, you sit on the edge of a pool and dip your feet into the water, causing changes to occur that are
related to the physical and thermal properties of your feet and of the water. Select the statements that
accurately describe what is happening, in terms of the heat and temperature of the objects and substances.
There may be more than one accurate statement.
A. Cold from the water reduces the temperature of your feet.
B. Heat from your feet raises the temperature of the water.
C. Your feet transfer heat into the surrounding water, reducing the temperature of your feet.
D. Cold from the water moves into your warm feet.
A 15 year old boy requires eyeglasses with lenses of 2 diopters power in order to read a book at 25 cm. Five years later he finds that while wearing the same glasses, he must hold a book 40 cm from his eyes. What power of lenses does he require at 20 years in order to read a book at 25 cm?
At 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
How to solve for the power of lenses1/f1 = 1/v - 1/u1
1/f1 = 1/∞ - 1/0.25 (converting 25 cm to meters)
1/f1 = 0 - 4
1/f1 = -4
f1 = -1/4
f1 = -0.25 meters
The initial lens power (P1) is the reciprocal of the focal length:
P1 = 1/f1
P1 = 1/-0.25
P1 = -4 diopters
Now let's calculate the final focal length (f2) using the final distance (v2) of 40 cm:
1/f2 = 1/v2 - 1/u1
1/f2 = 1/0.40 - 1/0.25
1/f2 = 2.5 - 4
1/f2 = -1.5
f2 = -1/1.5
f2 = -0.67 meters
The final lens power (P2) is the reciprocal of the focal length:
P2 = 1/f2
P2 = 1/-0.67
P2 ≈ -1.49 diopters
Therefore, at 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
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A biologist studies a species of bacteria called FAST. Her research reveals that FAST bacteria reproduce prodigiously. If a bacteria culture contains 10 FAST bacteria at time t = 0, the number of FAST bacteria in the culture at later time t is N(t) = 10+6t+2t^2where t is expressed in seconds.
A) How many FAST bacteria occupy the culture at time t = 10 s? At time t = 11 s? From these answers, calculate how many net bacteria were born during the interval between t = 10 and t = 11 s. Assume no bacteria died.
B) Now use calculus to find the birth rate of bacteria (the rate at which new bacteria get born) at time t = 10 s. It may help you to sketch a rough graph of N vs. t.
C) Explain, conceptually, why your answers to part (a) and (b) are close but not exactly the same.
270 FAST bacteria occupy the culture at time t = 10 s and 318 FAST bacteria occupy the culture at time t = 11 s.
Define FAST bacteria.
A group of bacteria with the property of acid fastness is referred to as acid-fast bacteria, sometimes known as acid-fast bacilli or simply AFB. A bacterium's capacity to withstand acid decolorization during staining methods is known as acid fastness.
Mycobacteria's high mycolic acid concentration, which causes the staining pattern of poor absorption followed by significant retention, is what makes them acid-fast.
At t = 10 s
N(t) = 10+6t+2t^2
N(t) = 10 +6*10 + 2*10*10
= 270
At t = 11s
N(t) = 10+6*11+2*11*11
= 318
Difference between two will be 318 - 270 = 48
Rate of bacterial growth will be (270-10/270) *100%
i.e. 96.2%
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An ant crawls 50 cm to the right, stops, and then crawls 30 cm to the left. Calculate the distance that the ant travels, and calculate the displacement of the ant.
Answer and Explanation:
If the ant was to crawl 50cm to the right, then come back 30 cm, then the total distance walked would be 80cm.
- Combine 50cm and 30cm to get 80 cm.
For displacement, the answer is 20 cm.
- When calculating displacement, you use the initial (starting) distance. and subtract that from the final distance, giving you the displacement, or the amount traveled from the starting point to the final point if you were to make a straight line from the starting point to end point. (0 to 50, then back 30 the same direction, so subtract 30 from 50 to get 20)
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer:
Distance = 80cm
Displacement = 20cm
Explanation:
Distance does not depend on direction, its the total amount traveled.
Displacement has a direction. Displacement is how far your stopping point is from the beginning point.
The ant could have walked 50cm to the east, stopped and turned around, walked 50cm to the west, walking a total distance of 100cm, but the displacement would be 0 because he ended up at the same spot that he started. It can get much more complicated than this, but this is a good start.
The vertical displacement of the wave is measured from the what? And what is the term for vertical displacement?
Explanation:
The vertical displacement of the wave is measured from the
equilibrium to the crest and is called the frequency.
crest to the trough and is called the amplitude.
trough to the trough and is called the wavelength.
equilibrium to the crest and is called the amplitude.
HØPÊ ĮŤ ÌŠ helpful
mark mE aS bRillAnT ♠An iron meteorite melts when it enters the Earth's atmosphere.
If its initial temperature was -105°C outside of Earth's atmosphere, calculate the minimum velocity the meteorite must have had before it entered Earth's atmosphere.
The minimum velocity for the meteorite before entrance into earth's atmosphere is 36.8 m/s.
How to find minimum velocity?To calculate the minimum velocity the meteorite must have had before it entered Earth's atmosphere, the equation for heat transfer is:
Q = mcΔT
Where Q = the heat transferred,
m = the mass of the meteorite,
c = the specific heat capacity of iron, and
ΔT = the change in temperature.
The specific heat capacity of iron is approximately = 0.45 J/g°C.
Temperature of the meteorite changes from -105°C to the melting point of iron, which is approximately = 1535°C.
So: Q = mc(1535 - (-105))
Mass of the meteorite unknown, but we know it is made of iron, so assume a value for the mass, such as 100 g.
Q = 100 x 0.45(1535 - (-105))
Solving for Q:
Q = 67875 J
To calculate the kinetic energy of the meteorite, which is given by the equation: Ek = 1/2mv²
where Ek is kinetic energy,
m = the mass of the meteorite and
v = the velocity of the meteorite.
Therefore, the velocity of the meteorite is given by the following equation: v = √(2Ek/m)
Substituting the values of Ek and m, we get
v = √(2 x 67875/100)
Solving for v:
v = √1357.5
The minimum velocity the meteorite must have had before it entered Earth's atmosphere is approximately 36.8 m/s.
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Gravity causes objects to be attracted to one another. This attraction keeps our feet firmly planted on the ground and causes the moon to orbit the earth. The force of gravitational attraction is represented by the equationF=Gm1m2r2where F is the magnitude of the gravitational attraction on either body, m1 and m2 are the masses of the bodies, r is the distance between them, and G is the gravitational constant. In SI units, the units of force are kgâ‹…m/s2, the units of mass are kg, and the units of distance are m. For this equation to have consistent units, the units of G must be which of the following?Gravity causes objects to be attracted to one another. This attraction keeps our feet firmly planted on the ground and causes the moon to orbit the earth. The force of gravitational attraction is represented by the equation,where is the magnitude of the gravitational attraction on either body, and are the masses of the bodies, is the distance between them, and is the gravitational constant. In SI units, the units of force are , the units of mass are , and the units of distance are . For this equation to have consistent units, the units of must be which of the following?A. kg3mâ‹…s2B. kgâ‹…s2m3C. m3kgâ‹…s2D. mkgâ‹…s2
Answer:
The S.I unit of G must be m³/kg.s² to keep the equation consistent.
Explanation:
We have the equation:
F = Gm₁m₂/r²
where,
F = Gravitational Force between Two Bodies
G = Gravitational Constant
m₁ = Mass of 1st Body
m₂ = Mass of 2nd body
r = Distance between the Bodies
The S.I Units of the quantities are:
F = Newton = kg.m/s²
m₁ = kg
m₂ = kg
r = meter = m
G = ?
Therefore, to find the units of Gravitational Constant (G), we substitute the known units in the formula:
kg.m/s² = G(kg)(kg)/m²
G = m³/kg.s²
A student drops three blocks from the same height and measures the time it takes for the locks to hit the ground. Each block has a different mass.
The dependent variable in this experiment is: D. the time for the blocks to hit the ground.
What is an experiment?An experiment can be defined as a scientific investigation which typically involves the process of manipulating an independent variable (the cause), so as to determine or measure the dependent variable (the effect).
The types of variables.In every experiment, there are two (2) main types of variables and these include the following:
Dependent variableIndependent variableIn this scenario, we can infer and logically deduce that the dependent variable in this experiment is the time for the blocks to hit the ground because it signifies the effect of the independent variable (three blocks).
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Complete Question:
A student drops three blocks from the same height and measures the time it takes for the blocks to hit the ground. Each block has a different mass.
What is the dependent variable in the experiment?
A. the volume of the blocks
B. the drop height
C. the mass of the blocks
D. the time for the blocks to hit the ground
 An AC generator consists of eight turns of wire, each having area A =9.0x 10-2 m2, with a total resistance of 12.0 V. The coil rotates in a magnetic field of 0.500 T at a constant frequency of 60.0 Hz, with axis of rotation perpendicular to the direction of the magnetic field. (a) Find the maximum induced emf. [3] (b) What is the maximum induced current? [1] (c) Determine the induced emf and current as functions of time. [2] (d) Wiat maximum torque must be applied to keep the coil turning? (3)
We have that the maximum induced emf,the maximum induced current, the induced emf and current as functions of time,The maximum torque must be applied to keep the coil turning are
a )\(E_{max}=135.6v\)
b) \(I_max=11A\)
c) \(I_i=11A sin(376.9rad/s t)\)
\(E_i=135.6v sin(376.9rad/s )\)
d) \(T=4.07Nm\)
From the Question we are told that
Area \(A =9.0x 10^{-2} m^2\)
Total resistance of \(R=12.0 V.\)
Magnetic field of \(B=0.500 T\)
Constant frequency \(F=60.0 Hz\)
Eight turns \(N=8N\)
A)
Generally the equation for the maximum induced emf is mathematically given as
\(E=NAB\omega\)
Where
\(\omega=2\pi f\)
\(\omega=2*3.142*60\)
\(\omega=376.9rad/s\)
\(E_max=8*(9.0x 10-2)*0.5*376.9\)
\(E_{max}=135.6v\)
B)
Generally the equation for the maximum induced Current is mathematically given as
\(I_m=\frac{E}{R}\\\\I_max=\frac{135.6}{12}\\\\I_max=11A\)
C)
Generally for the induced emf and current as functions of time we Substitute \(E_{max}\) and \(\omega\) into
\(E_i=E_{max} sin\omega t\)
\(E_i=135.6v sin(376.9rad/s t)\)
And Same for induces Current
\(I_i=I_{max} sin\omega t\)
\(I_i=11A sin(376.9rad/s t)\)
D)
Generally the equation for the maximum torque is mathematically given as
\(T = rB sin θ\)
Where
r= maximum magnetic moment
\(r=NIAr= 8*11.3*0.090r=8.14m^2\)
Therefore
\(T = 8,14*0.500 sin 90\)
\(T=4.07Nm\)
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If the breaking strength of the string is 120 N, what is the minimum angle the string can make with the horizontal
Complete Question
A 940-g rock is whirled in a horizontal circle at the end of a 1.30-m-long string, If the breaking strength of the string is 120 N, what's the minimum angle the string can make with the horizontal?
Answer:
The value is \(\theta = 4.41^o\)
Explanation:
From the question we are told that
The mass of the rock is \(m_r = 940 \ g = 0.94 \ kg\)
The length of the string is \(l = 1.30 \ m\)
The breaking strength(i.e the maximum tension) on the string is \(T = 120 \ N\)
Gnerally the vertical component of the tension experienced by the string is mathematically represented as
\(T_v = T sin(\theta)\)
Generally this vertical component of tension is equivalent to the weight of the rock
So
\(Tsin (\theta) = mg\)
=> \(\theta = sin^{-1} [\frac{mg}{ T} ]\)
=> \(\theta = sin^{-1} [\frac{0.940 *9.8 }{ 120} ]\)
=> \(\theta = 4.41^o\)
PLS HELP ME WITH THIS
 
                                                Answer:
C
Explanation:
C
pls help!!
An object is placed 3.0 cm away from a convex lens of focal length 2.0 cm as shown in fig. 
1. Use the lens equation to calculate the image distance.
2. Is the image real or virtual? how do you know ?
 
                                                (1) The distance of the image formed by the lens is determined as 6 cm.
(2) The image formed is real.
What is the image distance?The distance of the image formed by the lens is calculated by applying the following formula as follows;
1/f = 1/v + 1/u
where;
v is the image distanceu is the object distancef is the focal length of the lensThe distance of the image formed by the lens is calculated as;
1/v = 1/f - 1/u
1/v = 1/2 - 1/3
1/v = 1/6
v = 6 cm
Since the sign of the image of the image is positive, the image formed is real.
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a 5.0 kg block accelerates a .80 m/s2 along a horizontal surface when a horizontal 12.0 N force acts on it. Show that the force of friction on the block is 8.0 N
The value of the frictional force acting on the block will be equal to 8 N.
How to get the frictional force?Force is defined as the product of mass and acceleration, and it acts on the body to move it.
Because an external force is acting on the block, a frictional force opposes the block's movement. The frictional force is denoted by f(k) and is given by
f(k) = external force - (ma)
f(k) = 12N - (5×0.8)
f(k) = 12- 4
f(k) = 8 N
f(k) = 8 N and since it opposes the external force then the sign will be negative that is f(k) = -8N.
Therefore, the frictional force will be 8 N.
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(a) Express the following in their respective units
 12nm to pm
Answer:
To convert nanometers (nm) to picometers (pm), you need to multiply the value by 1,000. Therefore, to convert 12 nanometers to picometers, you would perform the following calculation:
12 nm * 1,000 pm/nm = 12,000 pm
So, 12 nanometers is equal to 12,000 picometers.
The work-energy theorem states that the change in the kinetic energy of an object is equal to what?
The work-energy theorem states that the change in the kinetic energy of an object will be equal to the net work done on the object.
Mathematically, it can be expressed as;
ΔKE = W
Where; ΔKE represents the change in kinetic energy of the object,
W represents the net work done on the object.
This theorem states that when work is done on an object, it results in a change in its kinetic energy. If work is done on an object, its kinetic energy increases, and if work is done by an object, its kinetic energy decreases.
This theorem is a fundamental principle in physics that relates the concepts of work and energy, and it is often used to analyze the motion and behavior of objects in various physical systems.
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which mineral has a metallic luster, does not react with hydrochloric acid, and has a hardness of 6?
A. Gold 
B. Sulfur
C. Pyrite 
D. Calcite
Answer:
The Answer is C
Explanation:
I took the test
The symbol equation below is used to calculate distance travelled. Rearrange this symbol equation so you could use it to calculate the speed instead. s = v t
 
                                                Answer:
Below
Explanation:
s = Distance
v = Velocity ( speed)
t = time
\(s = vt\)
Divide both sides of the equation by t
\( \frac{s}{t} = \frac{vt}{t} \\ \frac{s}{t} = v\)
calculate the boyant force on 1.0x10^7 of solid steel completely submeg in water and compete this with steel weight
The required buoyant force of the solid steel submerged in water is 124681934 N.
What is force?Force is defined as an object which is in a state of motion then its rate of change of momentum is called force.
Here,
To calculate the buoyant force on the steel object, we need to first determine the volume of the steel object. Let's assume the density of steel is 7,860 kg/m³.
Mass of the steel object = 1.0x10⁷ kg
Density of steel = 7,860 kg/m³
The volume of steel object = Mass of steel object / Density of steel
= (1.0x10⁷ kg) / (7,860 kg/m³)
= 1271.78 m³
Buoyant force = Weight of displaced water
= Density of water x Volume of displaced water x gravitational acceleration
= (1000 kg/m³) x (1271.78 m³) x (9.81 m/s²)
= 124681934 N
The weight of the steel object is given as 1.0x10⁷ N.
Comparing the buoyant force with the weight of the steel object, we find that the buoyant force is greater than the weight of the steel object. This means that the steel object will float in water, as the buoyant force is enough to counteract the weight of the object.
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A bicyclist is traveling 10 m/s with an acceleration of 6 m/s?.
How fast is the bicyclist traveling at the end of 20 seconds?
v=u+at
where
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
From the question
u = 10 m/s
a = 6 m/s²
t = 20 s
Substitute the values into the above formula and solve
That's
v = 10 + 6(20)
= 10 + 120
We have the final answer as
130 m/s