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.
Learn more about relativity:https://brainly.com/question/13195054
#SPJ1
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.
Learn more about Speed here: https://brainly.com/question/17146782
#SPJ1
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.
Learn more about kilometers per hour at: https://brainly.com/question/24447370
#SPJ1
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.
Learn more about communication at: https://brainly.com/question/22558440
#SPJ1
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).
Learn more about force here:
https://brainly.com/question/13191643
#SPJ4
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.
Learn more about the cathode ray here:
https://brainly.com/question/13665271
#SPJ4
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.
Find more on the resultant force at: https://brainly.com/question/25239010
#SPJ4
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
To learn more about acceleration ,visit:
https://brainly.com/question/2303856
#SPJ4
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°.
To know more about "Parallelogram Law Of Addition", refer to the following link:
https://brainly.com/question/23867486?referrer=searchResults
#SPJ4
Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere are determined. Now the radius of the sphere is halved. What happens to the flux through the sphere and the magnitude of the electric field at the surface of the sphere? (a) The flux and field both increase.(b) The flux and field both decrease.(c) The flux increases, and the field decreases. (d) The flux decreases, and the field increases.(e) The flux remains the same, and the field increases. (f) The flux decreases, and the field remains the same.
Answer:
gogle it
Explanation:
i cant help
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.
Learn more about Hypothesis, refer to the link:
https://brainly.com/question/32562440
#SPJ7
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
To learn more about speed please visit-
https://brainly.com/question/394103
#SPJ9
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.
A balloon clings to a wall after it is negatively charged by rubbing.(a) Does that occur because the wall is positively charged?
A balloon clings to a wall after it is negatively charged by rubbing because the wall is positively charged.
Is opposite charge attract each other?Yes, opposite charges attract each other. When a positive charge and a negative charge interact with each other, their forces act from the direction of positive to the direction of negative charge. As a result opposite charges attract each other while on the other hand, similar charges repel each other because their forces move in the opposite direction so they repel each other.
So we can conclude that a balloon clings to a wall after it is negatively charged by rubbing because the wall is positively charged.
Learn more about charge here: https://brainly.com/question/9317875
#SPJ1
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}.
Read more on electric field here: https://brainly.com/question/2566719
#SPJ1
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
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
Learn more about relativistic time for proton to travel here:
https://brainly.com/question/28289684
#SPJ1
A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its axis perpendicular to the horizontal component of the Earth's magnetic field. A horizontal compass placed at the coil's center is made to deflect 45.0° from magnetic north by a current of 0.600 A in the coil.(a) What is the horizontal component of the Earth's magnetic field?
The horizontal component of the magnetic field is 12.6 μT.
The magnetic influence on moving electric currents, electric charges, and magnetic materials is described by a magnetic field, which is a vector field. When a charge moves through a magnetic field, a force that is perpendicular to both its own velocity and the magnetic field operates on it.
The horizontal component of the Earth's magnetic field is perpendicular to the axis of a circular coil with five turns and a diameter of D = 30.0 cm that is vertically orientated.
A coil current of I = 0.600 A causes a horizontal compass to deflect 45.0° from magnetic north when it is positioned in the coil's center.
Let B be the magnetic field and R be the radius of the circular coil.
Then the horizontal component of the Earth's magnetic field is given as:
[tex]B(h) = B(coil) = \frac{\mu_{0} NI}{2R}[/tex]
[tex]B(h) =\frac{4 \pi \times 10^{-7}\times(5)\times(0.6)}{0.3}[/tex]
B(h) = 12.6 μT
Learn more about magnetic field here:
brainly.com/question/14411049
#SPJ4
which si unit for legnth is greater than a meter a. decimeter b. centimeter c. kilometer d. milimeter
Option(c) is Kilometer is correct. Kilometer unit for length is greater than a meter.
What do you mean by SI units?Worldwide adoption of the International System of Units (SI) as a system of measurement units is widespread. For convenience, this updated version of the metric system is based on the number 10. The metric prefixes or the SI prefixes are a collection of prefixes that have been established. According on the prefixes, the unit is either a multiple or a fraction of base ten. It enables the zeros of very small or very high numbers to be reduced, for example, from 7,500,000 Joules to 1 nanometer and from 0.000000001 meter to 7.5 Megajoules, respectively. Additionally, some SI prefixes have a group of symbols before the unit symbol.
To know more about SI units visit:
https://brainly.com/question/12750330
#SPJ4
How quickly would a 60kg object accelerate if the person applied a 500N force?
Answer:
8.33 m/s^2
Explanation:
The equation for force is Force = mass * acceleration. The force is 500 N, and the mass is 60 kg, so substituting those into the equation you get that 500 = 60 * acceleration. Divide 500 by 60 to get the acceleration, which is 8.33 m/s^2.
Hope this helps! Let me know if you have any confusion!
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
If you need to learn more about displacement click here:
https://brainly.com/question/28370322
#SPJ4
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
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.
Learn more about beats here :
https://brainly.com/question/14157895
#SPJ4
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:
Is my 1-8 right? And if not what is the right answer and show how you got the answer. Also hat would be the answer for 9 and 10 and why because I can’t seem to figure them out.
The answers for question numbers 3 and 4 is correct. For question number 9, the average speed is 2.5 mi /hr and for question number 10 the speed is 5 yards / s.
We know that,
v = d / t
where,
v = Speed
d = Distance
t = Time
1 ) v = 360 / 6 = 60 km / h
2 ) v = 120 / 3 = 40 mi / h
3 ) v = 18 / 6 = 3 m / s
4 ) v = 1000 / 20 = 50 m / min
5 ) t = 6pm - 5 pm = 1 hr
v = 2.5 / 1 = 2.5 mi / hr
6 ) v = 1.5 / 0.33 = 4.5 mi / hr ( Since 20 min = 20 / 60 = 0.33 hr )
d = 4.5 * 1 = 4.5 mi
7 ) d = 20 * 1 = 20 mi ( Since 60 min = 1 hr )
8 ) d = 60 * 2 = 120 mi
9 ) Distance per lap = 0.5 mi
Total laps = 10
Total distance = 10 * 0.5 = 5 mi
v = 5 / 2 = 2.5 mi / hr
10 ) v = 100 / 20 = 5 yards / s
Therefore, the answer for:
v = 60 km / hv = 40 mi / hv = 3 m / sv = 50 m / minv =2.5 mi / hrd = 4.5 mid = 20 mid = 120 miv = 2.5 mi / hrv = 5 yards / sTo know more about average speed
https://brainly.com/question/9834403
#SPJ1
Help pls Important!!!!
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.
To learn more about pressure,visit:
https://brainly.com/question/356585
#SPJ4
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
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.
To learn more about work done, Visit:
https://brainly.com/question/12675628
#SPJ4
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.
To learn more about acceleration from here, refer to the link;
brainly.com/question/2303856
#SPJ1
A football player kicks a football in a field goal attempt. When the football reaches its maximum height, what is the relationship between the direction of the velocity and acceleration vectors? assume air resistance is negligible.
The dot product of velocity vector and acceleration vector at maximum height is equal to zero.
[tex]$\overrightarrow{v}.\overrightarrow{a}= 0[/tex]
We have a football player who kicked a football in order to do a goal.
We have to determine the relationship between the direction of the velocity and acceleration vectors when the football reaches its maximum height.
What is Projectile Motion ?Projectile motion is the two - dimensional motion of an object thrown or projected into the air such that it moves under the influence of acceleration of gravity.
According to the question -
Assume that the velocity with which the projectile was fired is u m/s.
Therefore, it can be resolved into two components as -
[tex]\overrightarrow{u} =[/tex] u(x) + u(y) = u cosθ [tex]a_{x}[/tex] + u sinθ [tex]a_{y}[/tex].
Now, when the projectile reaches the maximum height, it will no longer cover any vertical height but it will keep moving in the horizontal direction. Therefore - the vertical component of the velocity will become zero. Therefore -
[tex]\overrightarrow{u} =[/tex] u(x) + u(y) = u cosθ [tex]a_{x}[/tex] + 0 = u cosθ [tex]a_{x}[/tex]
Now, refer to the figure attached for reference -
At the maximum height, the velocity vector is in the horizontal direction and the vector for the acceleration due to gravity is vertically downwards.
Therefore - the acceleration vector and velocity vector will have an angle of 90° between them. Assume -
Velocity at maximum height = v = u cosθ [tex]a_{x}[/tex]
and acceleration = a = g = 9.8 m/[tex]s^{2}[/tex]
Therefore -
The dot product of velocity vector and acceleration vector is equal to zero.
[tex]\overrightarrow{v}.\overrightarrow{a}= 0[/tex]
To solve more questions on Projectile motion, visit the link below-
https://brainly.com/question/547813
#SPJ4
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
Learn more about density here
https://brainly.com/question/1354972
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.
meaning of extraction
Answer:
the action of taking out something, especially using effort or force.
Explanation: