Answer:
\( a \approx \: 0.001 \: m {s}^{ - 2} \)
Explanation:
Given:
\(initial \: velocity \: (u) = 0 \\ \\
Final \: Velocity \: (v) = 72 km /h \\ \\
Time \: (t) = 5 \: hours \\ \\
Acceleration \: (a) =? \\ \\
\because \: a = \frac{v - u}{t} \\ \\ \therefore \: a = \frac{72 - 0}{5} \\ \\ a = \frac{72}{5} \\ \\ a = 14.5 \: km {h}^{ - 2} \\ \\ a = \frac{14.5 \times 1000}{3600\times 3600} \: m {s}^{ - 2} \\ \\ a = 0.00111882716 \\ \\ a \approx \: 0.001 \: m {s}^{ - 2} \)
Based on the Mohs Hardness Scale, which mineral could be scratched by a penny but not by a fingernail?Question options:A) FluoriteB) TalcC) CalciteD) Gypsum
Given:
Scale number of a penny = 3.5
Scale number of a fingernail = 2.5
Let's determine the mineral from the options which could be scratched by a penny but not a fingernail.
A mineral with a scale number can scratch any material with equal or lower scale number.
Since a penny has a scale number of 3.5, it can scratch any material with a scale number of 3.5 or lower.
Also, since a fingernail could not scratch the material here, this means the scale number if the material must be greater than 2.5.
Thus, the mineral that could be scratched by a penny but not a fingernail must have a scale number equal to or less than 3.5 but greater than 2.5.
Hence, from the MOHS Hardness Scale, the mineral with a scale number between 3.5 and 2.5 is the Calcite with a scale number of 3.
Therefore, the mineral which could be scratched by a penny but not a fingernail is Calcite.
• ANSWER:
C) Calcite.
Which of the following statements regarding the periodic table of elements is true?
Explanation:
san Yung multiple choice dito may multiple choice kase to
Mathias is going to do some informational interviewing. What is one of the main benefits of doing these interviews?
O A.
OB.
O C.
O D.
A.He will gain insight about a new career opportunity.
B.He will likely be offered a position with a company.
C.He will be able to ask questions about job openings.
D.He will find out how much money everyone earns.
Answer:
A
Explanation:
One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.
Can anyone solve this problem?
The question has two parts
beginning with part 1:
R1 and R2 are in series
R3 and R4 are in series with each other
R5 and R6 are in series with each other
R3 and R4 are parallel to R5 and R6
it is given that R1=R2=R3=R4 =2 Ohm
R5=R7=1 Ohm
R6 = 3ohm
We know that resistance is the sum of resistances in series and reciprocal sum of resistances in parallel
R1+R2=2+2=4 ohm
R3+R4 = 2+2 = 4ohm
R5+R6 =1+3=4Ohm
R3 and R4 and R5 and r6 are in parallel = 4 x 4/4+4 = 16/8 = 2 ohm
Resultant resistance = 4 + 2 +1 =7 phms
In part 2 of the question,
R1=R7=2 ohm
R2=R3=R6 =1 ohm
R4=R5=3 ohm
R2,R3 are in series, R5 and R6 are in series
R2,R3 AND R4 and R5 ,R6 in parallel
R2+R3 = 1+1 =2 ohm
R5 +R6 = 3+1 =4 ohm
R2,R3 AND R4 and R5 ,R6 in parallel= 1/(1/2+1/4+1/3 )=v 1/(6+3+4)/12
=12/13
Resultant resistance = 2+2+12/13 =4.93 ohm
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An object R leaves a platform XY with a horizontal velocity of 7ms1 and lands at Q. If it takes the same object 0.3s to fall freely from Y to P, calculate the distance PQ. (Take g = l0m−2 ) A. 7.30m B.2.55m C.2.l0m D. 1.65m E.0.45m
With a 7ms1 horizontal velocity, an object R departs from a platform XY and lands at Q. The length PQ is 0.45m if the identical object falls freely from Xy to P in 0.3 seconds.
Is the initial velocity constant across all angles?There is no possible for the items to have the same start y-component velocity unless they're shot with distinct initial speeds given that each is launched at a various perspectives. The objects must have been shot at different speeds if they had the same maximum height.
Why is a launch angle of 45 degrees ideal?We can observe that over the longest-range the signal reaches its maximum output value, 1, at an output data angle of 90 degrees Punts 2 are at a 90-degree angle, so is at a 45-degree angle. In other words, a projectile moves and furthest when it is fired at a 45-degree angle.
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an object of height 120 cm is standing at a distance of 50 cm from the mirror from the mirror then the image distance from the object will be
Answer:
\(100\ cm\)
Explanation:
Given
\(Height = 120\ cm\)
\(Distance = 50\ cm\)
Required
Determine the image's distance from the object's distance
Though, it's not stated but I'll assume that we're dealing with a plane mirror.
When an image is reflected in a plane mirror, the distance of the object is the twice the distance between the mirror and the object itself.
Mathematically,
Object Distance from Image = 2 * Image Distance from Mirror
So, we have:
Object Distance from Image = 2 * 50 cm
Object Distance from Image = 100cm
A sailboat moves north for a distance of 10.00 km when blown by a wind 30° east of south with a force of 5.00×104 N.
How much work is done by the wind?
5.00×108 J
4.33×108 J
2.50×108 J
0.00 J
The correct answer is 500 x 10^6 Joules.
Workk is defined as the force times the distance which is mathematically expressed W = Fxd. The given force is 5x10^4 and the distance is 10000 m (the distance is converted as meter because Nm = J) the work done by the wind is W = 5 x 10^4 N (10000) = 500 x 10^6 Joules.
What is work?
The transfer of energy that takes place when an object is propelled over a distance by an external force is measured in physics as work. The work done on an object when a force is applied to it and it moves a specific distance is calculated as the product of the applied force and the distance travelled.W = Fd is the equation for work, where W is the amount of work completed, F is the force used, and d is the distance the item is moved. Given that it simply has magnitude and no direction, work is a scalar number.The amount of work completed when a force of one newton is applied over a distance is measured in joules (J), which is the unit of work.To know more about work, click the link given below:
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Which is formed by positive ions from a base and negative ions from an acid?
salt
vinegar
soap
carbonate
Answer:a
Explanation:
The formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.
The given problem is based on the concept and fundamentals of Neutralization. The process of neutralization is the name given to the chemical reaction between that takes place between the acid and base.
An acid is the chemical species having the negative ion, hence also known as anions.And the bases are the chemical species having the positive ions, hence they are also known as cationic species. During the chemical reaction between the acid and base, the positive ions from the base and negative ions from the an acid forms a neutral compound, known as Salt. Therefore, this reaction is also known as neutralization reaction.Thus, we can conclude that the formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.
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An engineer wants to design a go-kart that can reach an acceleration of 20 m/s2. If the cart has a mass of 75 kg and can hold one person with a mass of 80 kg, the engineer must design an engine that can produce a force of
newtons.
The engineer must design an engine that can produce a force of over 3,100 Newtons.
What is a Force?A force is an energy that can cause change of motion. It can be a push or a pull. It also has both magnitude and direction, making it a vector quantity.
From the question;
total mass = mass of person + mass of cart
total mass = 80kg + 75kg
total mass = 155kg
acceleration = 20m/s²
The formula to be used;
F = m x a
F = 155kg x 20m/s²
F = 3,100N
In conclusion, the engineer needs a minimum force of 3,100 N in the engine to be able to power the cart.
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The acceleration used for the height is 9.81 m/s2 because it is the acceleration due to gravity. (true or false)
Answer:
true
Explanation:
Gravity (or the acceleration due to gravity) is 9.81 meters per second squared, on the surface of Earth, because of the size of Earth and the distance we are on its surface from its center.
help pls!!
Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A) What is the amplitude of the wave ? Include correct units.
B) Use the graph to determine the time of one wave. Use it to find the frequency.
C) If the speed of the wave is 25 cm/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
(a) The amplitude of the wave is determined as 8 cm.
(b) The period of the wave motion is 20 s and the frequency of the wave is 0.05 Hz
(c) The wavelength of the wave is 500 cm.
What is the amplitude of the wave ?(a) The amplitude of the wave is the maximum displacement of the wave.
from the graph, amplitude of the wave = 8 cm
(b) The period of the wave motion is calculated as;
T = 20 s
The frequency of the wave = 1/T = 1/20 s = 0.05 Hz
(c) The wavelength of the wave is calculated by applying the following wave formula.
λ = v / f
λ = 25 cm/s / 0.05 Hz
λ = 500 cm
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Graph. See text version for more detail.
The graph above represents the nuclear decay of a radioactive element, measured using a radiation-detecting device. What is the half-life, in days, of this hypothetical element?
If the half-life of a given substance is 65 days, how long will it take for a 100-gram sample of the substance to decay until there is only 25 grams of the radioactive material remaining?
If a sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams, what is the half-life of the isotope? Hint: First, determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.
If a 500.0 g sample of technetium-99 decays to 62.5 g of technetium-99 remaining in 639,000 years, what is the half-life of technetium-99?
The half-life of hypothetical element technetium-99 is 210,936 years.
Half-life of the hypothetical element From the graph provided in the question, the half-life of the hypothetical element can be obtained by finding the time taken for the element to reduce to half its original quantity. Here, it can be seen from the graph that the quantity of the element reduces from 40 to 20 on day 4. Therefore, the half-life of the hypothetical element is 4 days.2. Time taken for a sample to decay from 100 grams to 25 gramsIf the half-life of a given substance is 65 days, then the quantity of the substance reduces to half every 65 days. From 100 grams to 50 grams, it takes one half-life cycle. From 50 grams to 25 grams, it will take another half-life cycle.
Therefore, it will take two half-life cycles, which is 2 × 65 = 130 days, for a 100-gram sample of the substance to decay until there is only 25 grams of the radioactive material remaining.3. Half-life of a sample that decays from 200 grams to 50 grams in 60 minutesIt is given that the sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams. To find the half-life, we need to determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.At 30 minutes, the sample reduces to half its original quantity, which is 100 grams. At 45 minutes, it reduces to 50 grams, which is half of 100 grams. Therefore, it takes two half-life cycles to reduce from 200 grams to 50 grams in 60 minutes. Hence, the half-life of the isotope is 15 minutes.4. Half-life of technetium-99 that decays from 500.0 g to 62.5 g in 639,000 yearsIt is given that a 500.0 g sample of technetium-99 decays to 62.5 g of technetium-99 remaining in 639,000 years. We can use the half-life formula to find the half-life of technetium-99.t1/2 = (t × log2) / log(N0 / Nt) Where,t1/2 = half-life of the substanceN0 = initial quantity of the substance Nt = quantity of the substance left after time t (in years)t = time (in years)From the given data,t1/2 = (639000 × log2) / log(500.0 / 62.5)t1/2 = 210,936 years.
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The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 132-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A.
The moment of the force about point A found using the moments formula, \(|M| = |F| \cdot \: d \perp\) is 67.695 ft–lb.
What is the moment of a force?The moment of a force is the turning effect of the force about a point.
The moment of the force is given by the formula;
\(|M| = |F| \cdot \: d \perp\)
Where;
d = The perpendicular distance from the point to the line of action of the force.
The length of the sides of ∆ABC are;
AB = √(20.5²+4.38²) ≈ 20.9626907
BC = √(17.2²+7.62²) ≈ 18.812347
AC = √((7.62+4.38)²+(20.5-17.2)²) ≈ 12.4454811
The semi–perimeter of triangle ABC = (20.9626907 + 18.812347 + 12.4454811)/2 ≈ 26.1102594
The area, A, of triangle ∆ABC found using Heron's formula is therefore;
A = √((26.1102594×(26.1102594-20.9626907)×(26.1102594-18.812347)×(26.1102594-12.4454811)) ≈ 115.773
The perpendicular distance, d, from point A to BC is therefore;
d = A/(BC)
Which gives;
d = 115.773/18.812347 ≈ 6.15409696
The magnitude of the moment about point A is therefore;
M = 132 lb × 0.51284138 ft. ≈ 67.695 ft.–lb
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Was the Big Bang a loud explosion? Why?
Answer:
bc it was a universal explosion and It started the future
Explanation:
FACTS
Answer:
i wouldn't believe so.
Explanation:
because there was no room or air for the sound to move through. this is because of immense heat and the amount of hyperactive neutrons, electrons and protons clouding everywhere. This would mean that even if there was sound it would a. not travel far or b. go in a completely different direction than expected.
Which of these statements is true concerning balanced forces acting on a car?
Balanced forces will cause no change in the car's motion.
Balanced forces will cause the car to accelerate in the direction of the greater force
Balanced forces will cause the object to change direction.
Balanced forces will cause the car to slow down and stop
Answer:
Balanced forces will cause no change in the car's motion.
Explanation:
Balanced forces are 2 forces that are equal in opposite directions. This means they 'cancel each other out' in a way. Since both are equal, they cause no effect on the motion of the car
27. The number of coils of wire through which a bar magnet is moved is increased. The
amount the needle on the meter is deflected
A. increases
B. decreases
C. shows no change
D. does not move at all
The amount the needle on the meter is deflected A. increases
This phenomenon can be explained by Faraday's law of electromagnetic induction. According to this law, when a magnetic field (created by the bar magnet) passes through a coil of wire, it induces an electric current in the wire. This induced current generates its own magnetic field, which interacts with the magnetic field of the bar magnet.
The deflection of the meter needle is a result of this induced current. When the number of coils of wire is increased, there is a greater number of wire loops for the magnetic field to pass through. This leads to a stronger induction of electric current, resulting in a larger deflection of the meter needle.
By increasing the number of coils, more magnetic flux is linked with the wire, resulting in a higher induced electromotive force (emf) and a greater current. This increased current produces a stronger magnetic field around the wire, leading to a larger deflection on the meter. Therefore, increasing the number of coils of wire enhances the magnetic field interaction, resulting in an increased deflection of the meter needle. Therefore, Option A is correct.
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3. Follow-up In Guided Example 5.4, Moe, Larry, and Curly all
push to the right with 85.0-N forces. If the boat has an acceleration of
0.530 m/s², then what is the mass of the boat?
The mass of the boat is 160 .37 kg.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
Force = mass × acceleration
mass = force/acceleration
= 85 / 0.530
= 160 .37 kg
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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A body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest. Calculate their common velocity of the two bodies coalesce after collision
When a body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest, their common velocity after the collision is 1.68 m/s.
When two objects of different masses collide, they can exchange momentum. An object's mass and velocity together make up its momentum. When two objects collide, their momentum is conserved, meaning that the total momentum of the two objects before the collision equals the total momentum of the two objects after the collision. This principle can be used to calculate the velocity of the two objects after a collision.A body of mass 12 kg is travelling at a velocity of 4.2 m/s and collides with a second body of mass 18 kg at rest. The total mass of the system is 12 kg + 18 kg = 30 kg. To determine the velocity of the two objects after the collision, we need to use the conservation of momentum principle. Before the impact, the system's entire momentum is:momentum before = \((mass_1 x velocity_1) + (mass_2 x velocity_2)\)where mass1 is the mass of the first object, velocity1 is the velocity of the first object, \(mass_2\) is the mass of the second object, and \(velocity_2\) is the velocity of the second object. In this case,\(mass_1 = 12 kg, velocity_1 = 4.2 m/s, mass_2 = 18 kg\), and \(velocity_2 = 0\) (because the second object is at rest). Substituting these values into the equation above, we get: momentum before = (12 kg x 4.2 m/s) + (18 kg x 0)momentum before = 50.4 kg m/sFollowing the collision, the system's overall momentum is:momentum after =\((mass_1 + mass_2) * velocity\)where mass1 + mass2 is the total mass of the system, and velocity is the velocity of the two objects after the collision. Let's call this velocity "v". Substituting the values we know into the equation above, we get: momentum after = (12 kg + 18 kg) x vmomentum after = 30 kg x vUsing the conservation of momentum principle, we know that momentum before = momentum after. Therefore, we can set these two equations equal to each other and solve for v.50.4 kg m/s = 30 kg x vv = 50.4 kg m/s ÷ 30 kgv = 1.68 m/sFollowing the impact, the two bodies' common velocity is 1.68 m/s. Hence, the answer to this problem is that when a body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest, their common velocity after the collision is 1.68 m/s.For more questions on collision
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1. An object is dropped vertically downwards from the top of a building.
(i) Determine the height of the building if it hits the ground in 2.5 seconds.
(ii) Determine the velocity with which it will hit the ground.
Explanation:
i)h=ut+1/2at^2
h=0(2.5s)+1/2(10m/s^2)(2.5s)^2
h=26.25m
ii)v=gt
v=10m/s^2×2.5s=25
4. Answer the following questions in terms of a wave's frequency, wavelength, amplitude, and
energy.
a. Describe the characteristics of a high pitch wave.
b. Describe the characteristics of a high-volume wave.
a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.
The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.
The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.
b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.
The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.
In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.
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Which is an SI base unit that makes up part of the unit of energy?
candela
ampere
kelvin
kilogram
The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.
The base SI units are meter, kilogram, second, kelvin, ampere, candela, and mole
The unit of energy is Joules which is equivalent in mks unit as Kg m²s⁻²
Thus, The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D
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A cube with sides 12 cm is submerged in water to a depth of 30 cm. Given density of water is 1000 kg/m3. Calculate the pressure at the bottom surface of the cube due to water.
Answer:
P=2940 Pa
Explanation:
Given that,
Side of a cube, a = 12 cm
It is submerged to depth of 30 cm
The density of water, d = 1000 kg/m^3
We need to find the pressure at the bottom surface of the cube. We know that the pressure exerted is given by :
\(P=d gh\\\\P=1000\ kg/m^3\times 9.8\ m/s^2\times 0.3\ m\\\\P=2940\ Pa\)
So, 2940 Pa of pressure is exerted at the bottom surface of the cube due to water.
130% 00 1. A 345 g of copper is hanged on a spring wire of 30 cm in diameter as a result, the spring stretches from 75 cm to 80 cm. (8 marks)
1.1. What is the stress of the spring?
1.2 What is the strain of the spring?
1.3 What is the young's modulus of the spring?
1.4 Calculate the spring constant.
Six Thermodynamic States Of The Same Monatomic Ideal Gas Sample Are Represented In The Figure.
Six thermodynamic states of the same monatomic ideal gas sample are represented in the figure.
a. Rank these states on the basis of the temperature of the gas sample in each state.
b. Rank from largest to smallest. To rank items as equivalent, overlap them.
1. Ranking Of The Same Monatomic Ideal Gas Sample on the basis of the temperature of the gas sample in each state is F=E>D>C=B>A.
Monatomic, which is a combination of the terms "mono" and "atomic" and refers to a single atom, is a term used in physics and chemistry. A monatomic gas is a gas in which atoms are not bonded to one another, and it is typically used to describe gases.
All of the noble gases (helium, neon, argon, krypton, xenon, and radon) are examples at conventional temperatures and pressures, yet at sufficiently high temperatures, all chemical elements become monatomic in the gas phase (or very low pressure). Because a monatomic gas has no rotational or vibrational energy, its thermodynamic behavior is significantly simpler than that of polyatomic gases.
We take into account an ideal monatomic gas with particles of mass m that don't interact and whose center of mass stays at rets.
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Complete Question -
A plane is traveling down the tarmac after having landed describe its displacement velocity and acceleration as it moves down the tarmac
If a plane is moving in a straight line down the tarmac after landing, its displacement will depend on its starting and ending points, its velocity depends on displacement and acceleration depends on velocity.
What is the displacement of the plane?
Assuming the plane is moving in a straight line down the tarmac:
Displacement: The displacement of the plane will depend on the starting point and the end point of its motion. If we take the starting point as the point of touchdown, then the displacement will be the distance between the touchdown point and the current position of the plane on the tarmac.
Velocity: The velocity of the plane can be calculated by dividing the displacement of the plane by the time taken to travel that distance. If we assume that the plane is traveling at a constant speed, then its velocity will be constant as well. If the speed is not constant, then the velocity will be changing over time.
Acceleration: If the plane is slowing down as it travels down the tarmac, then it is experiencing negative acceleration (deceleration). If the plane is speeding up, then it is experiencing positive acceleration. The magnitude of the acceleration can be calculated as the change in velocity over time. If the plane is traveling at a constant velocity, then its acceleration will be zero.
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*graph is below*
1. What is Peter’s total distance traveled? What is Peter's displacement?
2. Is there a time when Peter is not moving? If so, when?
The total distance covered is 24 Km and Peter was not moving between the points marked 10 mins and 30 mins on the graph. His displacement according to the graph is zero.
The distance time graph shows the distance covered plotted on the vertical axis against the time taken plotted on the horizontal axis. Using this graph, the total distance covered can easily be obtained.
The total distance covered is 12 km + 12 km since equal distance was covered to and fro. Hence the total distance covered is 24 km. Perter was not moving between the points marked 10 mins and 30 mins on the graph.
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A block of ice(m = 14.0 kg) with an attached rope is at rest on a frictionless surface. You pull the block with a horizontal force of 98.0 N for 1.40 s.(a) Determine the magnitude of each force acting on the block of ice while you are pulling.Fpull = NFg = NFN = N(b) With what speed is the ice moving after you are finished pulling?m/s
Answer:
a) The weight and the normal force of the block has a magnitude of 137.298 newtons and the pull force exerted on the block has a magnitude of 98 newtons.
b) The final speed of the block of ice is 9.8 meters per second.
Explanation:
a) We need to calculate the weight, normal force from the ground to the block and the pull force. By 3rd Newton's Law we know that normal force is the reaction of the weight of the block of ice on a horizontal.
The weight of the block (\(W\)), measured in newtons, is:
\(W = m\cdot g\) (1)
Where:
\(m\) - Mass of the block of ice, measured in kilograms.
\(g\) - Gravitational acceleration, measured in meters per square second.
If we know that \(m = 14\,kg\) and \(g = 9.807\,\frac{m}{s^{2}}\), the magnitudes of the weight and normal force of the block of ice are, respectively:
\(N = W = (14\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)
\(N = W = 137.298\,N\)
And the pull force is:
\(F_{pull} = 98\,N\)
The weight and the normal force of the block has a magnitude of 137.298 newtons and the pull force exerted on the block has a magnitude of 98 newtons.
b) Since the block of ice is on a frictionless surface and pull force is parallel to the direction of motion and uniform in time, we can apply the Impact Theorem, which states that:
\(m\cdot v_{o} +\Sigma F \cdot \Delta t = m\cdot v_{f}\) (2)
Where:
\(v_{o}\), \(v_{f}\) - Initial and final speeds of the block, measured in meters per second.
\(\Sigma F\) - Horizontal net force, measured in newtons.
\(\Delta t\) - Impact time, measured in seconds.
Now we clear the final speed in (2):
\(v_{f} = v_{o}+\frac{\Sigma F\cdot \Delta t}{m}\)
If we know that \(v_{o} = 0\,\frac{m}{s}\), \(m = 14\,kg\), \(\Sigma F = 98\,N\) and \(\Delta t = 1.40\,s\), then final speed of the ice block is:
\(v_{f} = 0\,\frac{m}{s}+\frac{(98\,N)\cdot (1.40\,s)}{14\,kg}\)
\(v_{f} = 9.8\,\frac{m}{s}\)
The final speed of the block of ice is 9.8 meters per second.
Un telescopio indica que la posición de un satélite de comunicaciones está determinada por el punto P (7x105m, 5x105m) . ¿A qué distancia se encuentra el satélite del telescopio? En que dirección viajará una señal que sale del telescopio hacia el satélite?
a) La Distancia entre el telescopio y el satélite es aproximadamente \(8.602\times 10^{5}\) metros.
b) La señal sale del telescopio y se desplaza \(7\times 10^{5}\) metros en Dirección + x y \(5\times 10^{5}\) metros en Dirección +y.
a) Si asumimos la Posición del telescopio como el Origen de un Marco de Referencia, entonces la Distancia entre el telescopio y el satélite (\(d\)), en metros, mediante la siguiente expresión:
\(d = \sqrt{(S(x,y) - O(x,y))\,\bullet\,(S(x,y) - O(x,y))}\) (1)
Donde:
\(S(x,y)\) - Coordenadas del satélite, en metros.\(O(x,y)\) - Coordenadas del telescopio, en metros.Si sabemos que \(O(x,y) = (0, 0)\) y \(S(x,y) = (7\times 10^{5}, 5\times 10^{5})\), entonces la Distancia entre el telescopio y el satélite es:
\(d = \sqrt{(7\times 10^{5})^{2}+(5\times 10^{5})^{2}}\)
\(d \approx 8.602\times 10^{5}\,m\)
Nota - (1) es una forma vectorial del Teorema de Pitágoras.
La Distancia entre el telescopio y el satélite es aproximadamente \(8.602\times 10^{5}\) metros.
b) La señal sale del telescopio y se desplaza \(7\times 10^{5}\) metros en Dirección + x y \(5\times 10^{5}\) metros en Dirección +y.
Invitamos a ver esta pregunta relacionada con Cálculo de Distancias: https://brainly.com/question/18209846
HELP MEEE THIS IS URGENTTT
1. Referencing the above image, what is the velocity between 5s and 9s?
EQUATION : df-di/t f - ti
The velocity of the object between 5 s and 9 s is 20 m/s.
What is velocity of an object?
The velocity of an object is the rate of change of displacement of the object with time.
Mathematically, the formula for velocity of an object is given as;
v = Δx/Δt
where;
Δx is the change in displacement of the objectΔt is the change in time of motion of the objectv = (xf - xi) / (t₂ - t₁)
where;
xf is the final displacement of the objectxi is the initial displacement of the objectt₂ is the final time of motion of the objectt₁ is the initial time of motion of the objectFrom the given graph, we can infer the following;
xf, the final displacement of the object = 180 m
xi, the initial displacement of the object = 100 m
t₂, the final time of motion of the object = 9 seconds
t₁, the initial time of motion of the object = 5 seconds
v = (180 m - 100 m) / (9 s - 5 s)
v = (80 m) / (4 s)
v = 20 m/s
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a ball is projected with initial velocity 40m/s at angle of 27° from a building 60meters high.find total time the ball is in the air
Answer:
projectile motion
total time of flight= 2V° Sintheta / g
answer is 3second
Hope This would help you!