how do you find average velocity (average) from acceleration) and time (t)?
Answers
Average velocity is defined as the ratio in change in position to change in time,
v[ave] = ∆x/∆t
which on its own doesn't have anything to do with acceleration.
If acceleration is constant, the average velocity is the literal average of the initial and final velocities,
v[ave] = (v[final] + v[initial]) / 2
If this constant acceleration has magnitude a, the final velocity can be expressed in terms of the initial velocity by
v[final] = v[initial] + a*t
and plugging this into the previous equation gives
v[ave] = (v[initial] + a*t + v[initial])/2
v[ave] = v[initial] + 1/2*a*t
If the body in consideration is initially at rest, then
v[ave] = 1/2*a*t
which might be the relation you're looking for. But bear in mind the conditions I've underlined.
If acceleration is not constant and changes over time, so that the acceleration is some function of time a(t), then you can determine the velocity function v(t) by using the fundamental theorem of calculus. You need to know a particular velocity for some time to completely characterize v(t), though. For example, if you're given the initial velocity v[initial] = v(0), then
\(\displaystyle v(t) = v(0) + \int_0^t a(u) \, du\)
or if you know any other velocity for some time t₀ > 0,
\(\displaystyle v(t) = v(t_0) + \int_{t_0}^t a(u) \, du\)
Related Questions
if you move a star twice as far away from earth compared to where it is now, it will appear:
Answers
If you move a star twice as far away from Earth compared to where it is now, it will appear dimmer and smaller in size due to the inverse square law and angular size reduction.
To understand this, we need to consider two concepts: the inverse square law for brightness and the angular size reduction.
1. Inverse square law for brightness: This law states that the intensity of light (or brightness) decreases with the square of the distance from the source. When you move a star twice as far away from Earth, the brightness decreases by a factor of 2² or 4. This means the star will appear 1/4 as bright as it did before.
2. Angular size reduction: As the distance between the star and Earth increases, the star's angular size (the angle it subtends at the observer's eye) decreases, making it appear smaller. When the distance is doubled, the angular size is halved.
In conclusion, if a star is moved twice as far away from Earth compared to its current position, it will appear 1/4 as bright and half as large in angular size due to the inverse square law for brightness and angular size reduction.
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What are the advantages and applications of resonance?
Answers
Resonance has various advantages and applications, such as increasing energy transmission, better signal detection, generating musical instruments, and improving chemical analysis processes.
What are some resonance applications?Selecting the chosen stations in radio and TV receivers is one usage for resonant circuits (series or parallel). As a voltage amplifier, a series resonant circuit is employed. As a current amplifier, a parallel resonant circuit is employed. A filter can also be created using a resonant circuit.
What is resonance and how is resonance used?Resonance is a physical phenomena where one system vibrating at a particular operating frequency induces another system nearby to vibrate more intensely.
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the planet theta has 333 times the gravitational field strength and 444 times the mass of the earth. how does the radius of theta compare with the radius of earth?
Answers
The radius of Theta is about 86.6% of the radius of Earth.
Let's denote the radius of Earth as RE and the radius of planet Theta as RTheta. We know that the gravitational field strength is directly proportional to the mass and inversely proportional to the square of the radius.
Given that Theta has 333 times the gravitational field strength and 444 times the mass of Earth, we can set up the following proportion:
Gravitational field strength ratio = Mass ratio * (RE^2 / RTheta^2)
333 = 444 * (RE^2 / RTheta^2)
Simplifying the equation:
RE^2 / RTheta^2 = 333 / 444
RE^2 / RTheta^2 = 0.75
Taking the square root of both sides:
RE / RTheta = sqrt(0.75)
RE / RTheta = 0.866
Therefore, the radius of Theta (RTheta) is approximately 0.866 times the radius of Earth (RE). In other words, the radius of Theta is about 86.6% of the radius of Earth.
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In the reaction below, how would adding more of reactant A affect the equilibrium of the system? (2 points)
A+B=C+D
Answers
Answer:
It would also shift left towards the reactions
Explanation:
got it right on my quiz
A box of mass 60 kg is at rest on a horizontal floor that has a static coefficient of friction of 0.6 and a kinetic coefficient of 0.25
a)The minimum force necessary to start moving the box
b) The friction force and the acceleration of the box if a horizontal force of 400 N is applied
Answers
Answer:
a) F = 353.2 N
b) \(F_{f} = 147.2 N \)
a = 4.21 m/s²
Explanation:
a) The minimum force necessary to start moving the box s given by:
\(\Sigma F = 0\)
\( F - \mu_{s}N = 0 \)
\( F = \mu_{s}mg \)
Where:
F: is the force applied to move the box
μs: is the static coefficient of friction = 0.6
m: is the mass = 60 kg
g: is the gravity = 9.81 m/s²
\( F = 0.6*60 kg*9.81 m/s^{2} = 353.2 N \)
b) The acceleration is:
\( F - F_{f} = ma \)
\( F - \mu_{k}mg = ma \)
\( a = \frac{F - \mu_{k}mg}{m} = \frac{400 N - 0.25*60 kg*9.81 m/s^{2}}{60 kg} = 4.21 m/s^{2} \)
Now, the friction force is:
\( F_{f} = \mu_{k}mg = 0.25*60 kg*9.81 m/s^{2} = 147.2 N \)
I hope it helps you!
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left?
Answers
Answer: 98cm
Explanation:
Dimension of rectangle = 30cm by 25cm
Length(l) = 30cm
Width(w) = 25cm
Perimeter of a rectangle = 2(l + w)
Quadrant of circle cut away of each side of the rectangle :
Radius = 7 cm =
That is, the dimension of the triangle reduces by 2 * 7 = 14cm
New length = 30 - 14 = 16cm
New width = 25 - 14 = 11cm
The four corners =( 4 × 2πr ) / 4
2πr = 2 × 22/7 × 7 = 44cm
Perimeter = 2(16cm + 11cm)
= 2(27cm)
Perimeter = 54cm + 44 = 98cm
While skydiving you are trained to deploy your primary canopy at an altitude of 5,500 feet above the ground. At the time of the deployment your velocity is equal to terminal velocity, 134mph. Your mass, prior to jumping, was 178 pounds with all your gear. It takes you exactly 76 seconds to touch the ground, what was the force of wind resistance from the parachute?
Answers
The force of wind resistance from the parachute is approximately 15.29 pounds.
What was the force of wind resistance from the parachute?Generally, We can solve this problem using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. At the instant the parachute is deployed, the skydiver's kinetic energy is given by:
K1 = (1/2)mv1^2
where m is the mass of the skydiver and gear, and v1 is the terminal velocity of 134 mph (which we convert to feet per second by multiplying by 1.47).
K1 = (1/2)(178 lb + gear)(134 mph x 1.47 ft/s/mph)^2
= 84,080 ft-lb
At the moment the skydiver touches the ground, their kinetic energy is zero, so the work done by the wind resistance from the parachute is equal to K1. The work done by a force is given by:
W = Fd
where F is the force, and d is the distance over which the force acts. In this case, the force is the wind resistance from the parachute, and the distance is the distance traveled by the skydiver from the deployment altitude of 5,500 feet to the ground.
d = 5,500 ft
So we can solve for the force as:
F = K1 / d
= 84,080 ft-lb / 5,500 ft
= 15.29 lb
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Which statement is accurate about mass or weight?
Mass can be measured in newtons.
Weight can be measured in pounds.
A bowling ball has the same mass as a golf ball.
Objects have the same weight regardless of where they are.
Answers
Answer:
Wright can be measured in pounds
Explanation:
Mass is the quantity of matter a body contains while weight is the measure of mass of a body. Weight is the product if mass and the acceleration due to gravity of a body.
If the mass of an object is known, we can determine the equivalent weight of such object and vice versa using the relationship W = mg
m is the mass if the object (in kg)
W is the weight
g is the acceleration due to gravity
g can be measured both on metre/seconds or lb/ft². This means that the weight of an object can be measured in both kgm/s² (Newton) and lb(pounds).
Also note that different object have different masses hence it is not always true to say that a bowling ball has the same mass as a golf ball.
Based on the explanation above, it can be concluded that Weight can be measured in pounds which gives the only correct statement.
Answer:
Weight can be measure in pounds
Explanation:
You lift a 44 N box from the floor and place it on a shelf that is 1.5 m above the ground . How much work did you use in lifting the box ?
Answers
Answer:
W = 66 J
Explanation:
Given that,
The weight of the box, W = 44 N
It is placed on a shelf that is 1.5 m above the ground.
We need to find the work done in lifting the box.
We know that,
Work done, W = Fd
So,
W = 44 N × 1.5 m
= 66 J
So, the required work done is equal to 66 J.
29.In which of the following pictures is the average kinetic energy of molecules the highest?Select one:a. Ab. Bc. Cd. D
Answers
We will have that the picture that shows the highest average kinetic energy is image B.
when you blow across the top of a soda bottle it acts like a closed pipe. if it creates a fundamental frequency of 680 Hz, how deep is the bottle? (Speed of sound = 343 m/s) (Unit = m)
Answers
Answer:
0.125
Explanation:
acellus
The measurement of how far the particles are pushed from their _______________ is called amplification.
Answers
Amplification is the term used to describe how far the particles are pushed from their initial position.
Is it a measurement of how closely or widely spaced away the particles are in a given area?How closely molecules are packed together is determined by density. Because air is a gas, its molecules may either pack closely or spread widely. Higher up, less air is pressing down from above, and gravity is less away from the center of the Earth.
Sound is it longitudinal?Longitudinal waves are what makeup sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given material. When particles travel in close proximity to one another, compression occurs, generating areas of intense pressure.
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If the sun exploded would the solar system collaspe?
Answers
Answer:
Yes, yes it would since we need light
Explanation:
What is it called when we have two gears connected by a chain in when large gear turns wants to small gear turns two or more times
Answers
A concave lens creates a virtualimage at -47.0 cm with amagnification of +1.75. What isthe object distance?(Mind your minus signs.)(Unit = cm)
Answers
Object distance = 26.86 cm
Explanation:Given:
Image distance, v = -47.0 cm
Magnification, M = 1.75
Object distance, u = ?
\(\begin{gathered} M=\frac{|v|}{|u|} \\ \\ 1.75=\frac{47.0}{u} \\ \\ u=\frac{47.0}{1.75} \\ \\ u=26.86\text{ cm} \\ \end{gathered}\)Object distance = 26.86 cm
consequences and application of heat
Answers
Answer:
Prolonged exposure to extreme heat can cause heat exhaustion, heat cramps, heat stroke, and death, as well as exacerbate preexisting chronic conditions, such as various respiratory, cerebral, and cardiovascular diseases.
A satellite is in uniform circular motion around the Moon. What happens to the direction of the acceleration vector during one full orbit?
(1 point)
O The acceleration vector oscillates back and forth.
O The acceleration vector always points inward.
O The acceleration vector always points outward.
O The acceleration vector always points in the direction of motion.
Answers
The ionic formula for Li1+ and F1-
Answers
The ionic formula for Li1+ and F1- is LiF.
The ionic formula for Li1+ and F1- is LiF because Li1+ is a positively charged ion and F1- is a negatively charged ion, and ions of opposite charges attract each other and form a chemical bond which is seen in the LiF ionic formula.
What is Ionic Formula?
An ionic formula is a chemical formula which represents a combination of positively and negatively charged ions which form a chemical bond. It is composed of a cation (a positively charged ion) and an anion (a negatively charged ion). The chemical formula consists of the symbols of the elements involved in the compound, with the cation written first, followed by the anion.
What is Ionic compound?
An ionic compound is a compound made up of positively and negatively charged ions. These ions are held together by electrostatic forces of attraction between the oppositely charged ions. Ionic compounds typically form when a metal reacts with a non-metal, and are usually solid, crystalline structures.
What is Chemical bond?
A chemical bond is the attractive force between atoms or ions that binds them together to form molecules or compounds. Chemical bonds form when electrons are shared or transferred between atoms. The type of bond that forms depends on the electronegativity of the atoms involved and the number of electrons that are shared or transferred.
The ionic formula for Li1+ and F1- is LiF because Li1+ is a positively charged ion and F1- is a negatively charged ion, and ions of opposite charges attract each other and form a chemical bond, which is seen in the LiF ionic formula. The chemical bond is formed when electrons are shared or transferred between atoms, and the type of bond that forms depends on the electronegativity of the atoms involved and the number of electrons that are shared or transferred.
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With all of the electric wires and current running through your house, what direction would a compass point if you were standing in the middle of your room? Why is this? What property of magnetic fields does this demonstrate, and how would the magnetic field lines look in this region?
Answers
1) The direction it points depends on the direction of the electric current in the wires.
2) The magnetic field lines in the region would form circles around each individual wire carrying current.
3) This is because of the right-hand rule
Where does the current point?The magnetic field produced by the electric current forms a circular magnetic field around the wire in accordance with the right-hand rule, which is applicable to conventional current flow.
The current's flow direction determines the direction of the magnetic field lines. The curled fingers of your right hand, which is holding the wire with your thumb pointing in the direction of the current flow, would point in the direction of the magnetic field.
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If you take the wavelength of a light and multiply it by the frequency of the light, you get what value?
Answers
If you take the wavelength of light and multiply it by the frequency of the light, you get the speed of light.
The speed of light is defined as the product of wavelength and frequency. The wavelength is the length between two successive ridges or channels of a wave, frequency is the number of wave rotations per second, and the speed of light is a steady value equal to 3.00 x 10^8 meters per second.
This connection is called as the wave-particle duality of sunlight and is expressed by the equation E=hf, where E is the vibrancy of a photon of light, h is Planck's constant, and f is the frequency of the light which is measured in meters per second.
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which planet has a rotation period and rotational axis inclination most similar to earth?
Answers
The planet that has a rotation period and rotational axis inclination most similar to Earth is Mars. Mars has a rotational period of approximately 24 hours and 37 minutes, which is only slightly longer than Earth's 24-hour day. Additionally, Mars has a rotational axis inclination of 25.19 degrees, which is similar to Earth's axial tilt of 23.5 degrees.
Like Earth, Mars has seasons that are determined by its axial tilt. These seasons are also affected by Mars' slightly elliptical orbit around the sun, which causes variations in temperature and atmospheric pressure. However, Mars has a much thinner atmosphere than Earth, which means that its climate is harsher and more extreme.
Overall, while Mars is not an exact twin of Earth, it does share some similarities in terms of its rotation period and axial tilt. These similarities make Mars an interesting target for future exploration and potential colonization.
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A boy rode a bike and covered 90 km at an average speed equals 36 km/h but he covered the first thirty km in two hours. What is the average speed at which the remaining distance was covered ?
Answers
Answer:
40
Explanation:
because his increasing speed
PLEASE HELP!!
How does launch angle affect range? Which angle gives the greatest range?
Answers
An astronaut is said to be weightless when they travel in the satellite. What does this mean?
Answers
Answer:
The sense of weightlessness in orbiting satellite is because of the lack of any contact-forces. The only force that acts upon humans in space is the force of gravity, which acts at a distance; but as there is no counter-force, we do not experience the sensation of weight over there.
Two forces A and B applied together on object C. Force A has an magnitude of 25. 6 and making an angle of 26. 5 degrees with respect to positive x axis. Force B has an magnitude of 99. 7 and making an angle of 32. 2 with respect to negative y axis. What is the magnitude of the net force of A and B on object C?
Answers
The magnitude of the net force of A and B on object C which is stated as resultant force is 85.12 N.
The entire force operating on the item or body, combined with the body's direction, is referred to as the resultant force. When the object is at rest or moving at the same speed as the object, the resulting force is zero. Since all forces are acting in the same direction, the combined force should be equal for all forces.
Combining forces applied to the same body component might result in the same outcome. Combining forces with various points of application while maintaining the same effect on the body is not conceivable. By moving the forces to the same point of application and computing the associated torques, a system of forces operating on a rigid body is combined. These forces and torques are added to produce the final force and torque.
We have two forces as,
A = 25.6 sin 26.5 = 11.42
B = 99.7 cos 32.2 = 84.36
R = \(\sqrt{A^2+B^2}\) = \(\sqrt{11.42^2+84.36^2}\) = \(\sqrt{7247.026}\) = 85.12 N
Therefore, the magnitude of force on C is 85.12 N.
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why do scientists think titan has an atmosphere while the large moons of jupiter (ganymede, callisto, europa and io) do not?
Answers
Scientists believe that Titan, one of Saturn's moons, has an atmosphere, while the large moons of Jupiter (Ganymede, Callisto, Europa, and Io) do not have significant atmospheres. The main reason for this difference lies in their respective environments and the processes occurring on these moons.
Titan has a thick atmosphere primarily composed of nitrogen, with smaller amounts of methane and other hydrocarbons. This atmosphere likely exists due to the presence of organic compounds on the moon's surface, as well as ongoing geological and atmospheric processes. Titan's atmosphere is maintained through a combination of surface evaporation, volcanic activity, and photochemical reactions.
In contrast, the large moons of Jupiter have relatively tenuous or no significant atmospheres. This is because their environments differ from that of Titan. Ganymede, Callisto, and Europa are icy moons with subsurface oceans, while Io is volcanically active. These moons lack the conditions necessary for the sustained presence of a thick atmosphere. The extreme temperatures, low atmospheric pressures, and different compositions and geological activities on these moons contribute to their lack of significant atmospheres.
Overall, the presence or absence of an atmosphere on a moon depends on multiple factors, including composition, geological activity, presence of volatile substances, and environmental conditions specific to each moon.
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Help a Girl Out and Answer This you will get Brainliest, Thanks, and more points if your answer is correct (:
So I already know A is where the suns energy is produced.
Here are the options for the rest :
• region of the sun that is visible from earth
• appears as a red ring around the sun right before and after the peak of a total solar eclipse
• region that energy travels to through radiation ( movement of high energy particles )
• appears as a white ring or crown around the sun at the time of total solar eclipse
so please tell me the answer for each ( A, B, C, D ) thank you !
Answers
Answer:
this was 2 weeks ago, but im pretty sure the correct answers are:
B=c
C=d
D=b
hope this helps and is correct :)
A squirrel standing on a branch shoots an acorn toward a hole in the tree. To determine how the potential energy of the acorn changes in relation to the earth, the position of what two objects must be considered?
a
The position of the acorn and the earth
b
The height of the branch and the position of the acorn
c
The position of the acorn and the width of the hole in the tree
d
The position of the squirrel on the branch and the earth
Answers
The positions to be considered are the position of the acorn and the earth.
What is potential energy?The potential energy is the energy that is possessed by a body by virtue of its position. Hence, the potential energy of a body changes as its position changes.
Hence, to determine how the potential energy of the acorn changes in relation to the earth, the positions to be considered are the position of the acorn and the earth.
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a box is a cube with sides of 0.155 m long. if it is completely underwater, what is the buoyant force acting on it?
Answers
Answer: 36.5N
Explanation:
Given that the side length of cube (s) = 0.155m
The buoyant force also regarded as upthrust can be explained as the upward force exerted on by a fluid on an object immersed in it.
Buoyant force is calculated using the formula :
F = density × volume × acceleration due to gravity
Density of water = 1000kg/m^3
Volume of cube = s^3
Volume = 0.155^3 = 0.003723875
Recall:
density = mass / volume
Mass = density * volume
Mass = 1000kg/m^3 * 0.003723875m^3
Mass = 3.723875kg
Buoyant force or upthrust = weight of fluid displaced.
Weight = mass * acceleration due to gravity
Buoyant force = (3.723875 * 9.8)
Buoyant force = 36.493975
= 36.5N
the other side of the pivot an adult pushes straight down on the teeter totter with a force of 95 N. In which
direction does the teeter totter rotate if the adult applies the force at a distance of 2m from the pivot?
A 5.00 m long diving board with a mass of 6.6 kg is supported by two pillars. One pillar is at the left end of the
diving board, as shown, and the other is 1.50 m away. Find the forces exerted by the pillars when a 90.0 kg diver
stands at the far end of the board
Answers
The forces exerted by the pillars when a 90.0 kg diver stands at the far end of a 5.00 m long diving board with a mass of 6.6 kg supported by two pillars, one at the left end of the diving board, and the other 1.50 m away are 512 N and 490 N. Here options B and D are correct.
The answer to the first question is B) Counterclockwise. This is because the force applied by the adult is not directly over the pivot point, so it creates a torque that causes the teeter-totter to rotate in the counterclockwise direction.
To answer the second question, we can use the principle of torque equilibrium, which states that the sum of the torques acting on an object must be zero for it to be in rotational equilibrium. In this case, we can consider the diving board and the diver as a system.
When the diver stands at the far end of the board, the board experiences a torque due to the weight of the diver, which is given by:
τ = F × d
where F is the weight of the diver, and d is the distance from the pivot point to the point where the weight acts. Since the weight of the diver is acting downwards, the torque is acting in the clockwise direction.
At the same time, the two pillars are exerting forces on the board to support its weight and the weight of the diver. Let's call the force exerted by the pillar at the left end of the board \(F_1\), and the force exerted by the pillar 1.50 m away \(F_2\). Since the board is in static equilibrium, the sum of the forces acting on it must be zero. This gives us:
\($F_1 + F_2 - F_g = 0$\)
where \(F_g\) is the weight of the board, including the weight of the diver We can solve for \(F_1\) and \(F_2\) by considering the torque equilibrium equation:
\($\tau_1 + \tau_2 - \tau_g = 0$\)
\($\tau_1 = F_1 \times 0 = 0$\)
\($\tau_2 = F_2 \times 1.50 \text{ m}$\)
Substituting these values and the torque due to the weight of the board and the diver into the torque equilibrium equation, we get:
\($F_2 \times 1.50 \text{ m} - (90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 \times 2.50 \text{ m} = 0$\)
Solving for F2, we get:
\($F_2 = \frac{(90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 \times 2.50 \text{ m}}{1.50 \text{ m}} = 512 \text{ N}$\)
Substituting this value of \(F_2\) into the equation for the sum of the forces, we get:
\($F_1 + 512 \text{ N} - (90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 = 0$\)
Solving for \(F_1\), we get:
\($F_1 = (90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 - 512 \text{ N} = 490 \text{ N}$\)
Therefore, the forces exerted by the pillars are 490 N and 512 N, which is option D) 512 N and 490 N.
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Complete question:
Which direction does a teeter-totter rotate when an adult applies a force of 95 N at a distance of 2m from the pivot?
A) Clockwise
B) Counterclockwise
C) It does not rotate
D) Cannot be determined
What are the forces exerted by the pillars when a 90.0 kg diver stands at the far end of a 5.00 m long diving board with a mass of 6.6 kg supported by two pillars, one at the left end of the diving board, and the other 1.50 m away?
A) 675 N and 327 N
B) 327 N and 675 N
C) 490 N and 512 N
D) 512 N and 490 N