A man walks 4 miles in a direction 30° north of east. He then walks a distance x miles due east. He turns around to look back at his starting point, which is at an angle of 10° south of west. (a) Ma
Answers
(a) The distance the man walks due east is x = 4 miles sin 40° / sin 70°.
The angle 30° north of east is 60° from the x-axis which is east, so we need to resolve that into components in the x and y directions:4 miles cos 60° = 2 miles in the positive x direction4 miles sin 60° = 2√3 miles in the positive y direction Next he walks a distance x miles due east, so we add that to the x component:2 + x miles in the positive x direction He then turns around to look back at his starting point. The angle he forms with the x-axis, which is west, is 10° south of west, so that angle is 190°.That means that the angle between the man's direction and the x-axis is (190° - 30°) = 160°.The total horizontal distance he walks is then:4 miles cos 160° + x miles cos (180° - 160°) = -4cos 20° + x = x - 4 cos 20°Therefore, the distance the man walks due east is x = 4 miles sin 40° / sin 70°.
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Related Questions
Greenhouse A. Open system B. Closed system C. Isolated system
Answers
In an open system, both energy and matter are exchanged with the surroundings.
In a closed system, only energy is exchanged with the surroundings.
In an isolated system, neither matter nor energy is exchanged with the surroundings.
In the greenhouse, only energy is exchanged with the surroundings.
Thus, the greenhouse is a closed system.
show that v1,f = V1,i and V2,f-U2,i satisfy the conservation equations and explain why it is not a solution to an elastic collision problem. [(4)
Answers
This scenario represents a perfectly inelastic collision, where the objects stick together after the collision, and all their kinetic energy is lost.
The conservation equations for an elastic collision are conservation of momentum and conservation of kinetic energy. If we have two objects, 1 and 2, with initial velocities V1,i and U2,i, and final velocities V1,f and V2,f, respectively, then the conservation equations can be written as:
Momentum conservation: M1V1,i + M2U2,i = M1V1,f + M2V2,f
Kinetic energy conservation: 1/2M1(V1,i)^2 + 1/2M2(U2,i)^2 = 1/2M1(V1,f)^2 + 1/2M2(V2,f)^2
Now, if we substitute V1,f = V1,i and V2,f = U2,i into these equations, we get:
Momentum conservation: M1V1,i + M2U2,i = M1V1,i + M2U2,i
Kinetic energy conservation: 1/2M1(V1,i)^2 + 1/2M2(U2,i)^2 = 1/2M1(V1,i)^2 + 1/2M2(U2,i)^2
These equations are satisfied, which means that the velocities V1,f and V2,f given by V1,f = V1,i and V2,f = U2,i do satisfy the conservation equations. However, this is not a solution to an elastic collision problem because the velocities of the objects after the collision are not different from their initial velocities. In an elastic collision, the objects exchange energy and momentum, resulting in changes in their velocities.
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Find the height of a cylinder with a volume of 220inand a radius of 3 inches. Round
your answer to the nearest hundredth.
07.78 inches
6.93 inches
5.00 inches
9.84 inches
Answers
\(\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}\)
Given :
volume = 220 in³radius = 3 inSolution :
\( \large\boxed{ \mathrm{volume = \pi {r}^{2}h }}\)
\(220 = \dfrac{22}{7} \times 3 \times 3 \times h\)\( \dfrac{220 \times 7}{22 \times 3 \times 3} = h\)\( \dfrac{10 \times 7}{3 \times 3} = h\)\(h = \dfrac{70}{9} \)\( \boxed{h \: = 7.78 \: \: in}\)_____________________________
\(\mathrm{ \#TeeNForeveR}\)
Answer:
0.078 inches
Explanation:
The volume of a cylinder is \(V=\pi r^{2} h\). \(r\) is the radius of the cylinder, \(h\) is the height of the cylinder, and \(V\) is the total volume.We can divide both sides by \(9\pi\) to isolate the height. We now have \(\frac{220}{9\pi }=h\).We can plug in \(220\) for the value of \(V\), and insert 3 as \(r\). Now, we have \(220 = \pi (3^2)(h)\).We can simplify the right side by finding the value of \(3^2\), which is \(3*3\), or \(9\). We now have \(220 = 9\pi h\).Divide both sides by \(9\pi\) so we can isolate the height! We now have \(\frac{220}{9\pi }=h\).It would be best to use a calculator at this point. Plug the above equation into a calculator; otherwise, replace \(\pi\) with \(3.14\) and simplify the fraction. You should get about \(07.7809...\) which we can round to the nearest hundredths (since this is Geometry, I am assuming you know how to round).Our final answer is \(07.78\) inches.Hopefully this was of use!
4. hcl is added to di-ionized water to tune the ph equals to 3, what is the debye length? (10 points)
Answers
The Debye length is a characteristic length scale used in plasma physics and electrochemistry to describe the behavior of charged particles in a medium.
It represents the distance over which the electrostatic potential of a charged particle becomes shielded by the presence of other charged particles in the medium.
To calculate the Debye length in this scenario, we need to know the concentration of ions in the solution, which is related to the pH.
In acidic solutions, such as the one described here with pH 3, the concentration of H+ ions is relatively high. We can use the following equation to calculate the Debye length:
λ_D = (ε * k_B * T) / (z^2 * e^2 * c)
where λ_D is the Debye length, ε is the dielectric constant of the solvent (assumed to be water), k_B is the Boltzmann constant, T is the temperature, z is the charge on the ion (in units of the elementary charge e), and c is the concentration of ions in the solution.
Assuming room temperature (25°C) and a 1 M concentration of H+ ions (corresponding to pH 0), we can calculate the Debye length to be approximately 0.1 nm.
However, since the pH in this case is 3, we need to take into account the fact that the concentration of H+ ions has decreased by a factor of 1000 (from 1 M to 1 mM). Therefore, the Debye length in this scenario would be approximately 3.16 nm.
It's worth noting that this calculation assumes that the solution is ideal, meaning that the ions are perfectly spherical and non-interacting. In reality, ion-ion interactions and ion-solvent interactions can affect the Debye length, especially at high concentrations.
Additionally, other ions present in the solution (such as Cl- from the HCl added) can also contribute to the Debye length calculation
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6.00 g bullet, traveling horizontally at a speed of 400 m/s, is fired into a 1.0 kg wooden block which is initially at rest on a horizontal surface. the bullet passes all the way through the block, and emerges on the other side with a speed of 100 m/s. the block then slides a distance of 0.20 m along the surface before coming to rest.
Answers
6.00 g bullet, traveling horizontally at a speed of 400 m/s is initially at rest on a horizontal surface then moment conservation V=0.4 m/s
Mass bullet = 6*10⁻³
Mass of block=2kg
Pi=Pf
(5*10⁻³)400+0=120*(6*10⁻³)+2v
v=0.7 m/s
Ki=1/2mv²=1/2ˣ6*10⁻³ˣ400²
Ki=1/2ˣ6ˣ10⁻³ˣ16ˣ10⁴
Ki=400j
Kf=1/2mv²=1/2ˣ6*10⁻³ˣ120²
Kf=36J
moment conservation
V=0.4 m/s.
The principle of momentum conservation states that momentum is neither created nor destroyed but only changed by the action of forces as they are described by Newton's laws of motion. This applies to a particular problem domain. The only thing that happens when two bodies collide is that their momentum changes. Thus, for bodies colliding, changes in momentum are always equal and opposite. The momentum of the other body must decrease by the same amount if the momentum of the first body increases. As a result, momentum always remains constant.
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2. As a student holds a glass of iced tea, the temperature of the tea increases and the temperature of
his hand decreases. Will the temperature of his hand continue to change?
A. No, because all the heat will flow from his hand to the tea.
B. Yes, because the ice will cause the temperature of the tea to decrease.
C. No, because heat will continue to flow back and forth between both objects equally.
D. Yes, because heat will not stop flowing until both objects reach the same temperature.
Answers
Answer:
D. Yes, because heat will not stop flowing until both objects reach the same temperature.
Hey guys...please help me with both b) and c) in this question.
Answers
Answer:
we cant draw plz show to any one
what is the angular momentum of a 2.9- kg k g uniform cylindrical grinding wheel of radius 28 cm c m when rotating at 1500 rpm r p m ?
Answers
The angular momentum of a 2.9-kg uniform cylindrical grinding wheel of radius 28 cm when rotating at 1500 rpm is 1.18 kg m²/s. the angular momentum of the grinding wheel is 14.5 kg m²/s.
The formula for angular momentum is:
L = Iω
Where, L = angular momentum
I = moment of inertia
ω = angular velocity
First, we need to find the moment of inertia of the grinding wheel.
The moment of inertia of a uniform cylinder is given by:
I = (1/2)mr²
Where,m = mass of the cylinder (2.9 kg)
r = radius of the cylinder (28 cm = 0.28 m)
So, I = (1/2)(2.9 kg)(0.28 m)²
I = 0.092 kg m²
Now, we can find the angular momentum:
L = Iω
ω = angular velocity = 1500 , rpm = 157.08 rad/s (1 revolution = 2π radians, so 1500 rpm = 1500/60 = 25
revolutions per second = 25 × 2π = 157.08 radians per second)
L = (0.092 kg m²)(157.08 rad/s)L
= 14.5 kg m²/s.
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a cannon fires a cannonball straight up. what is the magnitude of the cannonball's acceleration at the top of its path assuming no air resistance?
Answers
Although the forces are equal and opposite, the acceleration is greater since the cannonball's mass is much lower.
What is acceleration?Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to forces.Change speed, change direction, or change both.Acceleration is the rate of change of velocity over a specified period of time. Calculate acceleration by dividing the change in velocity by the change in time acceleration. Velocity refers to the rate of change of displacement. Velocity is a vector quantity as it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.To learn more about acceleration from the given link :
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15. Go back and click on Transition Metals (left bar) and answer these questions. a. How many elements are in this group? _____________ b. What are the group numbers? ___________ through ___________ c. Name the three elements in this family that produce a magnetic field. ________________________, _________________________, and __________________________.
Answers
The answers include the following below:
There are 38 elements which are in this group of transition metals.The elements in groups 3-12 are called the transition metals.The three elements in this family that produce a magnetic field are Iron, cobalt and nickel.What is a Transition metal?These are elements that have partially filled d orbitals and occupy a central block in the periodic table.They have high melting points and boiling points and are good conductors of heat and electricity.
There are thirty eight elements in this group and only three is able to produce a magnetic field and they include iron, nickel and cobalt.
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A 50.0 kg lead block initially at 15 °C is released from rest at the top of an inclined plane with a 10° angle above the horizontal. The inclined plane is 5.00 m long. The block reaches the bottom of the inclined with a speed of 2.20 m/s. How much work is done the friction force on the block? What is the change of temperature of the block? Assume that work done by the friction force equals by magnitude the amount of heat going into the block. CL = 130 J/kg °C
Answers
Given data:
* The mass of the lead is m = 50 kg.
* The angle of the inclined plane with the horizontal is,
\(\theta=10^{\circ}\)* The length of the inclined plane is L = 5 m.
* The speed of the lead at the bottom of the plane is v = 2.2 m/s.
* The initial temperature of the lead is,
\(T_i=15^{\circ}\text{ C}\)* The specific heat of lead is,
\(c_L=130J/kg^{\circ}C\)Solution:
(a). The kinetic energy of the lead at the bottom of the inclined plane is,
\(\begin{gathered} K=\frac{1}{2}mv^2 \\ K=\frac{1}{2}\times50\times2.2^2 \\ K=121\text{ J} \end{gathered}\)The diagrammatic representation of the given case is,
From the diagram, the initial height of the block is,
\(\begin{gathered} \sin (\theta)=\frac{h}{L} \\ h=L\sin (\theta) \end{gathered}\)Substituting the known values,
\(\begin{gathered} h=5\times\sin (10^{\circ}) \\ h=0.87\text{ m} \end{gathered}\)The potential energy at the top of the inclined plane is,
\(U=\text{mgh}\)where g is the acceleration due to gravity,
Substituting the known values,
\(\begin{gathered} U=50\times9.8\times0.87 \\ U=426.3\text{ J} \end{gathered}\)The lead block is initially at rest at the top of the inclined plane, thus, the kinetic energy at the top of the inclined plane is zero.
The net energy at the top of the inclined plane is,
\(\begin{gathered} E_i=U+K_i \\ E_i=U+0 \\ E_i=426.3\text{ J} \end{gathered}\)The height of the lead block at the bottom of the inclined plane is zero, thus, the potential energy at the bottom of the inclined plane is zero.
The net energy at the bottom of the inclined plane is,
\(\begin{gathered} E_f=U_f+K \\ E_f=0+121 \\ E_f=121\text{ J} \end{gathered}\)Thus, the energy loss due to the friction is,
\(\begin{gathered} E_f-E_i=121-426.3 \\ E=-305.3\text{ J} \end{gathered}\)Here, the negative sign indicates the loss of energy,
The work done by the frictional force is equal to the amount of energy loss during the motion of the lead block down the inclined plane.
Thus, the work done by the friction force on the lead is 305.3 J.
(b). The energy loss takes place in the form of heat.
The amount of heat produced in terms of the mass, temperature, and specific heat is,
\(Q=mc_L(T_f-T_i)\)where Q is the amount of heat produced, T_f is the final temperature and T_i is the initial temperature,
Substituting the known values,
\(\begin{gathered} 305.3=50\times130\times(T_f-15) \\ 305.3=6500T_f-97500 \\ 6500T_f=305.3+97500 \\ 6500T_f=97805.3 \end{gathered}\)By simplifying,
\(\begin{gathered} T_f=\frac{97805.3}{6500} \\ T_f=15.05^{\circ}\text{C} \end{gathered}\)Thus, the final temperature of the lead block is 15.05 degrees celsius.
opera seria is a style of baroque opera that originated in:
Answers
Opera seria is a style of Baroque opera that originated in Italy. It emerged in the early 18th century and was particularly popular in the cities of Venice, Naples, and Rome.
Opera seria is characterized by its serious and heroic subject matter, elaborate vocal ornamentation, virtuosic singing, and arias that showcased the technical skills of the singers. Composers such as George Frideric Handel, Alessandro Scarlatti, and Johann Adolph Hasse were notable contributors to the development and popularity of opera seria.
The term "opera seria" literally means "serious opera" in Italian. The style was characterized by a focus on serious, heroic, and often mythological or historical subjects, with arias that showcased the virtuosity of the singers. The music was typically complex and highly structured, featuring recitative passages that advanced the plot and da capo arias that allowed singers to embellish and elaborate upon the musical themes.
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each drawing shows three points along the path of a projectile, one on its way up, one at the top, and one on its way down. the launch point is on the left in each drawing. which drawing correctly represents the acceleration a of the projectile at these three points?
Answers
The acceleration of the particle is constant \((a=9.8 m/sec^2)\), and it is vertically downward. Therefore, the correct option is diagram no 4.
In the case of a projectile launched into the air, the acceleration acts vertically and is influenced by gravity.
Let's analyze the three points along the path of the projectile:
1. On its way up: At this point, the projectile is moving upwards, and gravity is acting in the downward direction. Therefore, the acceleration of the projectile at this point is directed downward to oppose the upward motion and eventually bring the projectile to a stop.
2. At the top: The projectile reaches its maximum height and momentarily comes to a stop before starting to fall back down. At this point, the acceleration is solely due to gravity, and it acts vertically downward. The acceleration at the top of the projectile's path is directed downward.
3. On its way down: The projectile is now moving downward, and gravity continues to act in the downward direction. The acceleration at this point is again directed downward, assisting the downward motion of the projectile.
Considering these factors, the drawing that correctly represents the acceleration of the projectile at these three points should show the acceleration vector pointing vertically downward in all three positions.
This represents the consistent influence of gravity on the projectile throughout its motion.
Therefore, the correct option is diagram no 4. The acceleration of the particle is constant \((a=9.8 m/sec^2)\), and it is vertically downward.
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The half life of
40
K is approximately 1.3 billion years, and it decays to
40
Ar, which is trapped in igneous rocks as
40
K decays. If we find a sample of granite in which the ratio of
40
Ar/
40
K is 3/1, then how old is the sample?
Answers
The half-life of 40K is approximately 1.3 billion years. Given a ratio of 40Ar/40K as 3/1 in a granite sample, we can estimate the age of the sample by understanding the decay process. Based on the given 40Ar/40K ratio, the age of the sample is approximately 650 million years.
Since the half-life of 40K is 1.3 billion years, this means that after each half-life, half of the 40K atoms will have decayed into 40Ar. Therefore, if the ratio of 40Ar/40K is 3/1, it suggests that three-quarters (or 75%) of the original 40K atoms have decayed into 40Ar.
To determine the age, we can calculate the number of half-lives that have occurred based on the remaining 25% of 40K. Since each half-life is 1.3 billion years, dividing the remaining 25% by 50% (half) gives us 0.5. Thus, the sample has undergone 0.5 half-lives.
Multiplying 0.5 by the half-life of 1.3 billion years gives us an estimated age of 0.65 billion years, or 650 million years, for the granite sample.
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the magnitude of the force of gravity acting on an object is
Answers
The magnitude of force of gravity on an object, mg is called weight of the object on earth.
In physics, gravity (from Latin gravitas 'weight') is a fundamental interaction which reasons mutual enchantment between all matters with mass or strength. Gravity is, by a long way, the weakest of the 4 fundamental interactions, approximately 1038 instances weaker than the strong interaction, 1036 times weaker than the electromagnetic pressure and 1029 times weaker than the weak interaction.
As an end result, it has no significant have an impact on at the level of subatomic debris. but gravity is the most significant interaction among objects at the macroscopic scale, and it determines the movement of planets, stars, galaxies, or even mild.
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Complete Question: -
The magnitude of the force of gravity on an object, mg", is called the object's.
A force on an object will cause the object’s mass to....
(Whoever answers this will be crowned the brainiest thx)
Answers
Answer:
the law states that unbalanced forces cause objects to accelerate with an acceleration that is directly proportional to the net force and inversely proportional to the mass.
Explanation:
hai swings a ball in a vertical circle at the end of a string that always remains taut. at the top of the circle, the centripetal force on the ball is
Answers
Answer:
Larger than its weight.
Explanation:
When the ball is at the top of the circle, both tension and weight are pointing towards the center of the circle. This tells us, that the centripetal force overall will be greater than its weight.
How is the way that allows us to listen to an AM/FM Radio in our car is different from the wave that allows us to listen to music at a concert? explain by describing what types of waves are and how they differ
Answers
Answer:
Well AM/Fm is digitally using soundwaves for cars through signal, which we cant hear without one (radio). Concerts are in real life and use wavelegnths that we hear because it bounces off overytihing.
Explanation:
A car traveling at 35m/s appliance its brakes 10 seconds later it has a velocity of 5m/s what is the acceleration of the car
Answers
Answer:
a = -3 m/s^2
Explanation:
Vi = 35 m/s
Vf = 5 m/s
t = 10 s
Plug those values into the following equation:
Vf = Vi + at
5 = 35 + 10a
---> a = -3 m/s^2
a sled is initially given a shove up a frictionless
Answers
When a sled is initially pushed up a frictionless incline, it experiences the force of gravity pulling it down and the normal force exerted by the incline. Without the presence of friction, the sled can move up the incline more easily, leading to a smoother and more efficient ascent.
When a sled is pushed up a frictionless incline, there are two primary forces acting on it: the force of gravity pulling it down and the normal force exerted by the incline perpendicular to its surface. Since the incline is frictionless, there is no opposing force due to friction.
In summary, when a sled is given a shove up a frictionless incline, it will experience the force of gravity acting downward and the normal force from the incline. Without the presence of friction, the sled can move up the incline more easily as there is no resistance to its motion. The absence of friction allows for a smoother and more efficient ascent up the incline.
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The complete question is:
A sled is pushed up a frictionless incline at a 22.0-degree angle. It gains enough energy to reach a vertical height that is 1.05 meters higher than its starting point. What was its initial speed?
All the following statements about Venus are true. Which one offers evidence of a global repaving about a billion years ago? Venus has relatively few impact craters and these craters are distributed fairly evenly over the entire planet.
Answers
Venus has relatively few impact craters and these craters are distributed fairly evenly over the entire planet.
-This suggests that older impact craters were covered over everywhere on the planet.
The solar system is an arrangement of the sun and the planets. The sun is at the focus of the solar system and it is surrounded by the planets moving radially outwards from the focus. This is the heliocentric model of the solar system.
Now, the magnitude of gravity on a planet determines the weight of a body on that planet. The greater the gravitational pull, the greater the weight of the object on that planet.
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Which statement accurately describes current electricity?
A. It is caused by the buildup of positively charged particles.
B. It is caused by separated positively or negatively charged
particles.
C. It is caused by flowing negatively charged particles.
D. It is caused by stationary positively and negatively charged
particles.
Answers
Answer:
C. It is caused by flowing negatively charged particles.
Explanation:
Current electricity is caused by flowing negatively charged particles. The negatively charged particles that are responsible for the flow of electricity are called electrons.
The force is equal at all points in the field as the field lines are parallel in a uniform field. So, negatively charged particles will move in the opposite direction to the current.
Hence, the correct answer is "C. It is caused by flowing negatively charged particles."
a vertical spring (ignore its mass), whose spring constant is 875 n/m, is attached to a table and is compressed down by 0.160 m. what upward speed can it give to a 0.380-kg ball when released? how high above its original position (spring compressed) will the ball fly?
Answers
If a vertical spring, with a spring constant of 875 n/m, is coupled to a table and compressed down down 0.160 m, the ball will fly at a speed of 18.2 m/s, which is high well above initial location.
How much is the spring k value?The "spring constant," or "k," is a quantity that effectively indicates how "stiff" a spring is. It is represented by the letter "k." A greater value of k indicates that more force must be applied to extend it a given distance than would be necessary to stretch a spring with a lower stiffness a similar distance.
What is the formula for spring constant?According to Hooke's Law, the force applied when a spring is extended is proportional to a length increase above the equilibrium length. The spring constant, k, is equal to -F/x.
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you are working as an electrician installing fluorescent lights. you notice that the lights were made in europe and that the ballasts are rated for operation on a 50-hz system. will these ballasts be harmed by overcurrent if they are connected to 60 hz? if there is a problem with these lights, what will be the most likely cause of the trouble?
Answers
The solution would be to either replace the ballasts with ones designed for a 60-hz system or to use lights that are designed to operate on a 60-hz system.
When answering questions on Brainly, it is important to always be factually accurate, professional, and friendly. Answers should be concise and relevant to the question being asked. Typos and irrelevant parts of the question should be ignored.
Here is the answer to the student question:If you are an electrician installing fluorescent lights and notice that the lights were made in Europe and the ballasts are rated for operation on a 50-hz system, they will not be harmed by overcurrent if they are connected to a 60 hz system.
However, there may be a problem with these lights because they are designed to operate on a 50-hz system and not a 60-hz system. This could cause the lights to flicker, not turn on, or burn out prematurely.The most likely cause of the problem is that the ballasts are not designed to operate on a 60-hz system.
The solution would be to either use lights made to work on a 60 hz system or replace the ballasts with ones made for a 60 hz system.
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why the weight of a body decreases with increases in distance from the earth's surface
Answers
because as the distance increases the gravitational force decreases so the weight of a body decreases
Answer:
Weight of the body decreases with increase in distance from the Earth because weight is inversely proportional to distance from the Earth which means Weight of the body decreases with increase in distance from the Earth and vice versa. Also Weight is "gravitational force exerted on the body" so as the distance from the Earth increases , the "gravitational force" decreases.
which statements describes a chemical property
Answers
Answer:
a chemical property can be observed without changing the identity of the substance.
Explanation:
a physical property is a characteristic that can be observed without changing the substance into another substance. The object reacts with acid to form water.
The position of a particle in millimeters is given by s=102−23t+t ^2 where t is in seconds. Plot the s-t and v-t relationships for the first 17 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration? Answers: Δ5= mm D= mm
Answers
The given position equation of a particle is, s=102−23t+t2Here, t is in seconds.The first derivative of s is its velocity: v = ds/dt - 23 + 2tThe second derivative of s is the particle's acceleration:
The total distance traveled is the sum of all distance travelled in each interval of time: D = ∫|v|dt + ∫|v|dt + ... (From t 0 s to t = 17 s)From the graph of the velocity, the particle is moving to the left and toward the right side. The velocity-time graph is linear, which means that the acceleration is constant and uniform. Hence, the conclusion we can draw is that the particle is moving with uniform acceleration. a = dv/dt = 2The given equations are: s=102−23t+t2v
=−23+2ta
=2Plot of s-t and v-t graphs:
Net displacement (Δs) during the interval of 17 seconds can be calculated as:Δs = s(17) - s(0)Δs
= 102 - (2 × 3² / 2) - (23 × 3) + (17² / 2) - 102Δs
= -4 mmThe particle moves to the left side.
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Why can't we say a measurement tool is accurate?
Answers
There are various reasons why a measurement tool cannot be accurate. One of them is thermal contraction and expansion varies according to seasons.
What are Accuracy and Precision?There are two ways to assess observational error: accuracy and precision. Precision measures how closely two measurements are to one another, whereas accuracy measures how close a group of measurements is to its actual value. In other words, precision is a measure of statistical variability and a description of random errors.
We can say that a tool can be precise, but it cannot be accurate. There are various reasons behind that, some of them are :
It may not be calibrated properly. If there are no reliable standards to use for calibration, this may occur.Perhaps it strayed. This is why electronic scales include a tare function—they are terrible in this area.Perhaps the measurements are not linear. Our calipers might have been quite precise at the 2-inch standard, where they were calibrated, but inaccurate at other dimensions.Temperature is one environmental component that the instrument might be sensitive to. These effects might be compensated for, but the compensation might not be ideal. This issue affects both dissolved solids meters and picometers.These are some of the reasons due to which measurement tool cannot be accurate.
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What is the average repetition or time for squats?
Answers
3
An egg is thrown upward with an initial speed of 4 m/s. After 6
seconds, the egg's velocity is m/s
Answers
Answer:
-56 m/s
Explanation:
The projectile motion of velocity can be modelled as:
\( \displaystyle{v = u + gt}\)
u is initial velocity which is given in the problem (4 m/s), t is time which is also already given in the problem (6 seconds) and g is a constant of acceleration due to gravity (9.8 m/s²)
However, since the egg is thrown upward which is against the gravity direction, the sign of direction must be negative. Hence, g = - 9.8 m/s²
\( \displaystyle{v = 4 - 9.8 \times 6} \\ \\ \displaystyle{v = 4 - 60} \\ \\ \displaystyle{v = - 56 \: \text{m/s}}\)