Robert uses a spring scale to measure force. The unit of his measurement is newtons.
What is force?In material science, a power is an impact that can change the movement of an item. A power can make an item with mass change its speed, i.e., to speed up. Power can likewise be portrayed naturally as a push or a force. Logicians in classical times involved the idea of power in the investigation of fixed and moving articles and basic machines, yet scholars, for example, Aristotle and Archimedes held crucial mistakes in grasping power. To a limited extent this was because of a deficient comprehension of the occasionally non-clear power of erosion, and a thusly lacking perspective on the idea of normal movement.
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Read the following scenario about Greg's adventure to the symphony. Greg hasn't learned any concert etiquette.
What are the SIX mistakes that Greg makes according to Concert Etiquette 101?
What is the ONE thing that Greg does correctly (even though by accident) according to Concert Etiquette 101?
A man wearing a ball cap, who has a cold, attends a concert (let's call him Greg). After the concert begins, Greg walks through the door and takes a seat in the middle of the second row without saying a word. He frantically opens his program to find out what he has missed so far. Due to his cold, he also opens a cough drop for his cough. After the first piece (that he has heard since he arrived to the concert), he begins to clap and whistle - only to find out that nobody else is clapping with him. At the intermission, he finds a vending machine and buys a candy bar for the second half of the concert. After the concert, Greg remembers that he dropped the candy bar wrapper between the seats, and lifts his seat up to get the wrapper (at least he can put it in a trash can when he finds one - his mom always told him not to litter!).
Answer:Never stand or move around while music is being performed.
Explanation:
When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.
When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called diffraction.
The term 'diffraction' was coined by an Italian scientist named Francesco Grimaldi Maria in 1660 when she first recorded accurate observations of this phenomenon. Diffraction is a wave phenomenon that describes the bending of waves when it encounters an obstacle or a slit. It is more pronounced when the obstacle or slit the wave encounters is in comparable size to its wavelength.
Diffraction occurs in all waves, including light, water waves, sound waves, electromagnetic waves like X-rays and even gravitational waves. In recent years, it has been observed that matter also demonstrates this wave-like property, but only at the atomic and subatomic level.
Diffraction can be observed in everyday life. The rainbow pattern seen on CDs and DVDs is as a result of diffraction of light. It can also be observed in ocean waves as they diffract around rocks, jetties and other obstacles.
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a piano is a stringed instrument in which felt hammers are made to strike the strings by an arrangement of keys and levers.
Answer:
Analytical
Explanation:
In his experiments on "cathode rays" during which he discovered the electron, J. J. Thomson showed that the same beam deflections resulted with tubes having cathodes made of different materials and containing various gases before evacuation.(c) Do calculations to show that the charge-to-mass ratio Thomson obtained was huge compared with that of any macroscopic object or of any ionized atom or molecule. How can one make sense of this comparison?
The charge-to-mass ratio in the second case is 4 times less because of e/M = 0.96x10⁸ N.
What is a cathode ray?The electron beam that travels from the negatively charged cathode to the positively charged anode at the opposite end of the vacuum tube is known as a cathode ray.
As the electron, J. J. Thomson showed that the same beam deflections resulted in tubes having cathodes made of different materials and containing various gases before evacuation.
The elect's load = 1.6x10⁻¹⁹ C
The mass = 9.1x10⁻³¹ kg
e/m = 1.6x10⁻¹⁹/ 9.1x10⁻³¹ = 0.1 758 10 10¹² N
The homogenize has an electron of charge of 1.6x10⁻¹⁹ C
The mass M = 1.673x10⁻²⁷ ka
e/M = 1.6x10⁻¹⁹/1.67x10⁻²⁷ = 0.96x10⁸ N
In the second case, it is 4 times less
Thus, the charge-to-mass ratio in the second case is 4 times less because of e/M = 0.96x10⁸ N.
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Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (a) the force on each
The force on each balloon is 2×10^−3 N.
Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.
[tex]\sum F_{y} = Tcos10\textdegree - mg = 0\\\\T = \frac{mg}{cos10\textdegree } \\\\\sum F_{y} = Tsin10\textdegree - mg = 0\\[/tex]
So,
[tex]F_{e} = \frac{mg}{cos10\textdegree }sin10\textdegree = mgtan10\textdegree \\\\= (0.00100kg)(9.8m/s^{2})tan10\textdegree \\\\F_{e} = 2 \times 10^{-3}N[/tex]
A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N).
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what is the magnitude of the electric field along the positive z axis? use k in your answer, where k
The magnitude of the electric field along the positive z axis due to the ring is equal to Ez = kqz/√(z² + a²)^{3/2}.
Given the following data:
Radius of ring = a.
Charge of ring = q.
Coulomb's constant, k = = 1/4πε₀.
What is an electric field?An electric field can be defined as a region in which charged particles are placed with force being applied on the particle as a result of the field.
How to determine the magnitude of the electric field?In order to determine the magnitude of the electric field along the positive z axis, we would apply Coulomb's law in order to find the electric field due to a point charge:
[tex]E = k\frac{q}{r^2}[/tex]
Where:
q represent the charge.r is the distance between two charges.k is Coulomb's constant.Note: The value of r is equal to √(z² + a²) and cosθ is equal to z/√(z² + a²).
Substituting the value of r into Coulomb's law, we have;
[tex]E = k\frac{q}{(\sqrt{z^2 + a^2}) ^2}[/tex]
Along the z-direction, the electric field is given by:
dz = dEcosθ
Integrating, we have:
∫dz = ∫dEcosθ
Ez = Ecosθ
[tex]E_z = (\frac{kq}{(\sqrt{z^2 + a^2}) ^2})\frac{z}{\sqrt{z^2 + a^2}} \\\\E_z = \frac{kqz}{(\sqrt{z^2 + a^2}) ^\frac{3}{2} }[/tex]
Ez = kqz/√(z² + a²)^{3/2}.
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Complete Question:
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the magnitude of the electric field along the positive z axis due to the ring? Use k in your answer, where k = 1/4πε₀
WHAT IS NUCLEAR FISSION
PLEASE ANSWER QUICK
if , determine the angles θ and ϕ so that the resultant force is directed along the positive x axis and has a magnitude of .
The angle θ is 36.3° and the angle ϕ is 26.4°.
A vector quantity is a quantity having both magnitude and direction.
To add vector quantities and get their resultants, we need to apply the parallelogram law of vector addition
Let A and B are two vectors and C is their resultant, then according to the parallelogram law
C^2 = A^2 + B^2 + 2ABcosθ, where θ is the angle between the two vectors
On applying the parallelogram law in the given diagram,
(40)^2 = 30^2 + 60^2 - 2(30)(60)cosθ
Θ = 36.3°
And
30^2 = 40^2 + 60^2 - 2(40)(60)cosϕ
Φ = 26.4°
Thus, the angle θ is 36.3° and the angle ϕ is 26.4°.
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Two identical clocks are in the same house, one upstairs in a bedroom and the other downstairs in the kitchen. Which clock runs slower? Explain.
The clock in the kitchen downstairs is slower than the clock in the bedroom upstairs
What is relativity?A major idea that we could glean from relativity is that there are no absolutes in the universe. Everything in the universe depends on which frame of reference we are. Observations may differ depending on the frame of reference of the observer.
In the theory of Einstein, relativity comes in handy to clarify the distortion that is caused in time and space owing to matter in the universe as the basis for gravity.
We know that from the theory of relativity, the clock that is under the influence of a greater gravitational field would be slower. As such, the clock in the kitchen downstairs is slower than the clock in the bedroom upstairs because the clock in the kitchen downstairs is subjected to a greater gravitational field.
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the displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s − 2 sin t 1 3 cos t, where t is measured in seconds.
The average velocity or displacement of a particle for the first time interval is Δs / Δt = 6 cm/s.
Solution:
As we know that displacement is calculated in centimeters and the unit of time is second.
The average velocity for the first interval [1,2] is given
Δs / Δt = s (t2) - s (t) / t2 - t1
Δs / Δt = 2sin2 π + 3cos 2 π - ( 2sin π + 3cos π ) / 2 - 1
Δs / Δt = 2(0) + 3(1) - 2(0) - 3 (-1) / 1
Δs / Δt = 6 cm/s
Thus the average velocity or displacement of a particle for the first time interval is Δs / Δt = 6 cm/s
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The complete question is:
The displacement of a particle moving back and forth along a line is given by the following equation s(t) = 2sin π t + 3cos π t. Estimate the instantaneous velocity of the particle when t = 1
Marta gives long, involved answers to every question, even simple ones. She uses technical vocabulary even if the people she is talking to do not understand it. What is the BEST advice Marta’s supervisor could give her?
A.
Use technology to your team’s advantage.
B.
Manage information, not people.
C.
Make sure your networks are strong.
D.
Adapt your communication style.
The best advice Marta’s supervisor could give her regarding the long answers she is giving is to adapt her communication style (option D).
What is communication?Communication is the concept or state of exchanging data or information between entities.
A communication is said to be effective when the information passed across is perfectly understood by the recipient.
According to this question, Marta gives long and involved answers to every question, even simple ones. She also uses technical vocabulary even if the people she is talking to do not understand it.
This means that the best advice Marta’s supervisor could give her regarding the long answers she is giving, so as to communicate effectively, is to adapt her communication style.
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when the syringe volume is suddenly reduced (by roughly a factor of 2), the pressure changes by more than a factor of 2. why does the pressure spike to a value more than twice its initial value?
When the syringe is compressed the pressure spike to a value more than twice its initial value because the temperature of the gas increases.
What is pressure?Pressure is the force applied perpendicularly to an object's surface in relation to the area across which it is applied (symbol: p or P). Gauge pressure is the pressure when compared to the ambient pressure.
Various units are used to express pressure. The pound-force per square inch (psi), which is equal to one newton per square metre (N/m2) in the SI, is the standard unit of pressure in the imperial and U.S. customary systems. Some of these results derive from dividing a unit of force by a unit of area. The atmosphere, which is equal to this pressure, and the torr, which is defined as 1760 of this, are two other ways to describe pressure.
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The cosmic rays of highest energy are protons that have kinetic energy on the order of 10¹³ MeV (a) As measured in the proton's frame, what time interval would a proton of this energy require to travel across the Milky Way galaxy, which has a proper diameter ≅10⁵ly ?
The relativistic time it takes the proton to travel the milky way is 9.877 × 10⁻⁷ s
How to find the time it takes the proton to travel the milky way?
Since the question has to do with relativistic motion, we need to find the relativistic time it takes the proton to travel the milky way. First, we use the equation for relativistic kinetic energy, we have
K = mc(γ - 1) where
K = kinetic energy of proton = 10¹³ MeV = 10¹³ × 1.602 × 10⁻¹³ J = 1.602 J, m = rest mass of proton = 1.6726 × 10⁻²⁷ kg, c = speed of light = 3 × 10⁸ m/s and γ = 1/[√(1 - (v/c)²] where v = speed of protonSo, making γ subject of the formula, we have
γ = K/mc + 1
Substituting the values of the variables into the equation, we have
γ = K/mc + 1
γ = 1.602J/(1.6726 × 10⁻²⁷ kg × 3 × 10⁸ m/s) + 1
γ = 1.602J/(5.0178 × 10⁻¹⁹ J) + 1
γ = 0.3193 × 10¹⁹ + 1
γ = 3.193 × 10¹⁸
The distance moved by the protonNow since the proper diameter of the milky way d = 10⁵ ly, since the length moved by the proton is going to be contracted, the actual distance moved by the proton is
d' = d/γ
= 10⁵ ly/3.193 × 10¹⁸
= 0.3132 × 10⁻⁻¹³ ly
= 0.3132 × 10⁻⁻¹³ × 9.46 × 10¹⁵ m
= 2.963 × 10² m
The velocity of the protonNext we need to find the velocity of the proton from
γ = 1/[√(1 - (v/c)²]
3.193 × 10¹⁸ = 1/[√(1 - (v/c)²]
√(1 - (v/c)² = 1/3.193 × 10¹⁸
√(1 - (v/c)² = 0.3132 × 10¹⁸
1 - (v/c)² = (0.3132 × 10⁻¹⁸)²
1 - (v/c)² = 0.0981 × 10⁻³⁶
(v/c)² = 1 - 0.0981 × 10⁻³⁶
(v/c)² = 1 - 0.0000000000000000000000000000000000981
(v/c)² = 0.9999999999999999999999999999999999019
(v/c)² ≅ 0.99999
(v/c) = √0.99999
v/c = 0.999994999987
v = 0.999994999987c
The time it takes the proton to travel the milky way galaxySo, the time it takes the proton to travel the milky way is t = d/v
= 2.963 × 10² m/0.999994999987c
= 2.963 × 10² m/2.99998499996 × 10⁸ m/s
= 0.9877 × 10⁻⁶ s
= 9.877 × 10⁻⁷ s
So, the time it takes the proton to travel the milky way is 9.877 × 10⁻⁷ s
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a spring whose equilibrium length is 7 m7 m is compressed to a length of 12 m12 m when a force of 14 n14 n is applied. find the work done by the spring force while it is compressed to a length of 6 m.6 m. (give an exact answer. use symbolic notation and fractions where needed.) W
The work done by the spring force while it is compressed to the length of 6m is 0.58 J.
What do you mean by work done?The definition of work done includes both the forces applied to the body and the total displacement of the body. When we apply force "F" to a block, the body moves with some acceleration, or, additionally, its speed increases or decreases depending on the direction of the force. The system's kinetic energy changes as speed increases or decreases. Since we are aware that energy cannot be created or destroyed, it must be changed into another form. This perspective refers to it as completed work. When negative energy is finished, the energy declines, and when positive energy is finished, the energy rises.
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The speed of light in water is 230Mm/s. Suppose an electron is moving through water at 250 Mm/s . Does that violate the principle of relativity? Explain.
It does not violate the principle of relativity because the speed of the electron in water can explained as its relative speed with water.
What is principle of relativity?
The principle of relativity states that there is no physical way to differentiate between a body moving at a constant speed and an immobile body.
If the speed of light in water is 230Mm/s and an electron is moving through water at 250 Mm/s, it does not violate the principle of relativity because the speed of the electron in water can explained as its relative speed with water.
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the density of osmium (the densest metal) is . if a -kg rectangular block of osmium has two dimensions of cm, calculate the third dimension of the block.
The block's third dimension is 2.77 cm.
The mass of the osmium block is 1 kg.
The dimensions of the rectangular osmium block are 4 cm × 4 cm.
Density is defined as the mass of the object by the volume of the object.
density = mass / volume
Now, the volume of a rectangle is:
Volume = length × breadth × height
And now let's assume that the block's height is y.
Then,
Volume = length × breadth × height
Volume = 4 cm × 4 cm × y cm
Osmium now has a density of ρ = 22.57 g/cm³.
Therefore, the density of the rectangular osmium will be:
density = mass / volume
[tex]\rho = \frac{1{~}kg}{4{~}cm {~}\times {~}4{~}cm {~}\times {~} y}[/tex]
[tex]22.57 {~}g/cm^{3}=\frac{1000{~}g}{4{~}cm \times 4{~}cm \times y}[/tex]
[tex]16{{~}cm^{2} \times y{~} =\frac{1000{~}g}{22.57{~} g/cm^{3}}[/tex]
16y cm² = 44.31 cm³
Dividing each side of the equation by 16 cm²,
( 16y cm² ÷ 16 cm²) = ( 44.31 cm³ ÷ 16 cm² )
y = 2.77 cm
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The complete question is mentioned below:
The density of osmium is 22.57 g/cm³. If a 1.00kg rectangular block of osmium has two dimensions of 4.00 cm x 4.00 cm, calculate the third dimension of the block.
23. Formulating Hypotheses Suppose you want
to know if objects with different masses fall to
the ground at different rates. State a hypothesis
about falling objects.
-I NEED HELP PLEASE!!! ASAP
The possible hypothesis "different masses of objects fall to the ground at different rates" is a tenable hypothesis.
Thus, A reasonable explanation for an observation is a hypothesis. Every experiment begins with the formulation of a hypothesis. The experiment would now either support or refute the theory that has been proposed.
Remember that an experiment requires both an independent and a dependent variable. The dependent variable is the one that changes when the independent variable changes, but the independent variable is the one that we must keep manipulating.
In this situation, "different masses of objects fall to the ground at different rates" is a tenable hypothesis.
Thus, The possible hypothesis "different masses of objects fall to the ground at different rates" is a tenable hypothesis.
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A car slows down from +32 m/s to +8 m/s in 4s. Calculate the acceleration
If a car slows down from +32 meters / seconds to +8 meters / seconds in 4 seconds, then the acceleration of the car would be -6 meters / second².
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
We can calculate the acceleration of the car by using the first equation of motion,
v = u +at
8= 32 + a×4
a =8-32 / 4
a = -6 meters / second²
Thus, the acceleration of the car would be -6 meters / second².
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suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?
The signal will travel into the space as far as 3.654 x 10^11 meters.
What is Speed ?Speed is the distance travel by a body per time taken. Speed is a scalar quantity.
Suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?
Speed V = 3.0 x 10^8 m/sTime t = 20.3 min x 60 = 1218 sDistance s = ?Speed V = distance / time
3 x 10^8 = s / 1218
s = 3 x 10^8 x 1218
s = 3.654 x 10^11 m
Therefore, the signal will travel into the space as far as 3.654 x 10^11 meters.
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If the position of an object is zero, does its speed have to be
zero? Expain
No, the speed does not depend on position, it depends on the change of position.
An item can start at x = -3 and be moving by the time it reaches x = 0 since we know that the displacement is independent of the coordinate system's origin.
Speed is characterized as the rate at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Speed is defined as s = distance/time.
There are four different forms of speed.
constant speed
varying speed
typical speed
Instantaneous speed
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Match The Following:
1.Aristotle a. They believed the Earth to be flat
2.Kepler b. Thought that the Earth did not move
3.Egyptians c. How the planets move around the Sun
4.Ellipse d. Suggested the modern model of the Solar System
Answer:
1. A
2. D
3. B
4. C
Explanation:
1. A- Aristotle thought that the Earth was flat and that anyone who sailed off the edge of the ocean would fall of Earth, this theory of course later got disproved by Kepler and other scientists
2. D- Kepler suggested the modern model of the Solar System because after months and months of looking out the telescope and making models of the Solar System, Kepler finally made the conclusion of the official Solar System.
3. B- Egyptians thought did not move and all the planets, including the sun revolved around it. Later, Kepler disproved this theory with the modern Solar System.
4. C- This is the path that planets follow to revolve around the Sun. People first thought that planets moved in a circular motion but actually they moved in a ellipse because the Sun's gravity pulled planets closer at some parts more than others.
Help pls Important!!!!
forces of 10 pounds and 14 pounds act on each other with an angle of 50°. the magnitude of the resultant force
The resultant force is 10.77 pounds.
We need to know about vector to solve this problem. Force is included to vector because it has magnitude and also direction. The resultant force can be determined using cosine law. It can be written as
F² = F1² + F2² - 2F1 . F2 cos(θ⁰)
From the question above, we know that:
F1 = 10 pounds
F2 = 14 pounds
θ = 50°
By substituting the parameter, we get
F² = F1² + F2² - 2F1 . F2 cos(θ⁰)
F² = 10² + 14² - 2. 10 . 14 cos(50⁰)
F² = 100 + 196 - 280 . 0.64
F² = 100 + 196 - 280 . 0.64
F² = 116.02
F = 10.77 pounds
Hence, the resultant force is 10.77 pounds.
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meaning of extraction
Answer:
the action of taking out something, especially using effort or force.
Explanation:
What function does large volumes of moving water have in generating electricity
Impoundment or dams are used to collect the water to enhance the amount of running water. Gravity is used to direct water down a pen stock pipe from a hole in the dam. The turbine is spun by the flowing water, and this rotation of the magnets inside the generator produces power.
What is Hydroelectric Energy?Hydroelectric energy, also known as hydroelectric power or hydroelectricity, is a type of energy that uses the force of moving water to produce electricity, such as water running down a waterfall. This force has been utilized by people for ages. Greeks have been grinding wheat into flour for over 2,000 years by using flowing water to turn their mill's wheel.
The majority of hydroelectric power plants feature a water reservoir, a gate or valve to regulate the amount of water that flows out of the reservoir, and an outlet or location where the water ends up after flowing downstream. Just before water rushes over the top of a dam or cascades down a hill, it gains potential energy. Water flowing downhill changes potential energy into kinetic energy. When a turbine's blades are turned by water, electricity is produced and sent to the power plant's users.
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in a car moving at constant acceleration, you travel 230 mm between the instants at which the speedometer reads 40 km/hkm/h and 80 km/hkm/h .
The acceleration of the car is 0.8049[tex]m/s^{2}[/tex].It takes 13.802s to travel the 230 m.
What is acceleration?
In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it. Newton's Second Law states that the combined effect of two factors determines how much an item accelerates:
(i) It follows that the magnitude of the net balance of all external forces acting on the object is directly proportional to the magnitude of this net resulting force, and
(ii) the mass of the thing, depending on the materials out of which it is constructed, is inversely proportional to the mass of the thing.
Calculations:
40 km/hr ----- 11.11m/s
80 km/hr ----- 22.22m/s
[tex]v^{2} -u^{2} =2as\\22.22^{2} - 11.11^{2} = 2 x a x 230\\ 370.296=460a\\ a= 0.8049m/s^{2} \\[/tex]
Time taken
v-u=at
22.22-11.11= 0.8049 x t
t=13.802s
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An airplane mechanic notices that the sound from a twin-engine aircraft rapidly varies in loudness when both engines are running. What could be causing this variation from loud to soft?
Hence , the rise and fall of the amplitude of the sound causes the variation from loud to soft .
Principle of Superposition - The resultant displacement of 2 or additional waves traveling at the same time in an exceedingly medium while not moving the motion of 1 another is capable the resultant of the displacement created by the 2 or additional waves singly.The variation from loud to soft sound created by a twin-engine craft may be explained by the idea of formation of beats.
When 2 sound waves of nearly equal frequencies square measure created at the same time, then the intensity of the resultant sound created by their superposition will increase and reduces as an alternative with time. This increase and reduce within the intensity of sound square measure referred to as the development of beats.
Let us suppose that at a specific time the 2 waves of slightly totally different frequencies square measure in section, i.e. the crest of the primary wave falls on the crest of the second wave, thus at this point the resultant amplitude is most, therefore we tend to hear a louder sound. however since there's a small variation in frequencies there comes a time once the 2 waves square measure out of section, I.e. the crest of 1 wave falls on the trough of the opposite, here the resultant amplitude becomes zero and that we hear no sound. This rise and fall of amplitude continue and what we tend to hear could be a beat. Similar is that the case in an exceedingly twin-engine craft which ends within the variation of loud and soft sound.
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35km/h expressed in meters per second
35 kilometers per hour is equivalent to 9.73 metres per seconds.
How to convert km/h to m/s?Speed is the rate of distance that is traversed in a given time. It can be calculated by dividing the distance moved by the time taken as follows:
Speed = distance/time
Speed can be measured in the following units;
Kilometers per hourMetres per secondsThe conversion factor of kilometers per hour to metres per seconds is as follows:
1 kilometre per hour = 0.278 metre per second
35 kilometers per hour = 9.73 metres per seconds
Therefore, 35 kilometers per hour is equivalent to 9.73 metres per seconds.
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2. A farmer moves along the boundary of a square field side 10m in 40 sec. What will be the magnitude of displacement of the farmer at the end of 2 min 20 seconds from his initial position.
Answer:
The farmer is moving at 10 m / 40 s = .4 m/s
2 min 20 sec = 140 sec
The farmer will have moved 140 * .4 = 56 m
To cover the x-axis twice he will have moved x = 10
56 - 50 = 6 m and he will have moved a distance of 6 on the y-axis
S = (10^2 + 6^2)^1/2 = 11.7 m from the origin
1) In a standard lab, students drop blocks on moving carts. A cart with a mass of 3.4 kg is moving with a velocity of 23.9 m/s. A block with a mass of 2 kg is dropped onto the moving cart. What is the velocity of the cart after the block is dropped?
A. 3.4 m/s
B. 5.4 m/s
C.15.1 m/s
D. 23.9 m/s
2) Suppose that the vertical forces on a box are balanced, but the horizontal forces are not. There is a force due west of 50 N, and a force due east of 75 N. The weight of the box is 196 N. What is the net force and the acceleration?
A. The net force is 125 N and the acceleration is 1.25 m/s/s due east.
B. The net force is 25 N and the acceleration is 500 m/sec/sec due east.
C. The net force is 25 N and the acceleration is 1.25 m/s/s due east.
D.
The net force is 3750 N and the acceleration is 500 m/sec/sec due east.
3)
A car traveling with an initial speed of 25 m/s decelerates at −5 m/s2 to a complete stop. What best approximates the distance the car travels during its deceleration?
A. 25 m
B. 63 m
C. 125 m
D. 113 m
4) A 2000-kilogram car at rest at point A accelerates at a constant rate from point A to point B in 5.0 seconds, attaining a maximum speed of 30 meters per second at point B. What is the kinetic energy of the car at point B?
A. 60000 J
B. 590000 J
C. 900000 J
D. 1800000 J
5) Which of the following situations has the greatest momentum?
A. a car that accelerates from rest to 3.0 m/s
B. a rocket that crashes back to Earth with a force of 50.0 N for 0.3 m/s
C. a boxer that hits a punching bag with a net force of 30.0 N for 0.5 s
D. a baseball hit with a net force of 10.0 N for 3.0 s
6) Two objects are moved apart so that they are separated by three times their original distance of separation. Compared to the magnitude of the original gravitational force between them, the magnitude of the new gravitational force is which of the following?
A. one-ninth the amount
B. one-third the amount
C. three times the amount
D. nine times the amount
7) Carter and Sam want to find out about the motion of cars traveling on a stretch of highway. They measure out a segment on the highway and measure the time it takes for a car to pass along that segment. Using this data, which of the following pieces of data are they collecting?
A. Average acceleration
B. Instantaneous speed
C. Average speed
D. Instantaneous acceleration
8) Tommy wants to explore how the rate of change in the speed of a marble rolling down changes at different angles. Which of the following formulas should Tommy use to compare each trial in the experiment?
A. Distance traveled/time
B. Change in velocity/change in time
C. Distance traveled in a direction/time
D. Change in displacement/time
Please Explain
The correct responses are;
1) The velocity is 15.0 m/s
2) The net force is 25 N and the acceleration is 1.25 m/s/s due east.
3) The distance covered is 63 m
4) The kinetic energy is 900000 J.
5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s
6) The force is now is one-ninth of the original amount.
7) The data that Carter and Sam want to find out is the Instantaneous speed
8) The appropriate formula is change in velocity/change in time
What is the momentum?The term momentum has to do with the product of the mass and the velocity of a body.
1) We know from the principle of the conservation of momentum that the momentum before collision is the equal to the magnitude of the momentum after Collison in a closed system thus;
3.4 * 23.9 m/s = (3.4 + 2) v
v = 3.4 * 23.9 m/s / (3.4 + 2)
v = 15.0 m/s
2) Mass of the box = 196/9.8 = 20 Kg
The net force that acts on the box = 75 N - 50 N = 25 N
Acceleration = 25 N/ 20 Kg
= 1.25 m/s/s due east.
Thus, the net force is 25 N and the acceleration is 1.25 m/s/s due east.
3) v^2 = u^2 - 2as
v = 0 m/s
u^2 = 2as
s = u^2/2a
s = (25 m/s )^2/ 2 * 5 m/s2
s = 63 m
The distance covered is 63 m
4) Kinetic energy = 1/2 mv^2 = 0.5 * 2000 * (30)^2
= 900000 J
The kinetic energy is 900000 J.
5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s
6) The new magnitude of the force between them is one-ninth of the original amount.
7) The data that Carter and Sam want to find out is the Instantaneous speed
8) The formula that should be used is change in velocity/change in time.
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