Free fall is a type of accelerated motion, which means that a falling object experiences a continuously increasing velocity. In free fall, the object is subject only to the force of gravity, resulting in a constant acceleration downward.
When an object is in free fall, it is not subject to any forces other than gravity. The force of gravity causes the object to accelerate downward at a constant rate. This acceleration is approximately 9.8 m/s^2 on Earth and is represented by the symbol 'g'.
As the object falls, its velocity increases at a steady rate. This means that for each unit of time that passes, the object's speed increases by the same amount. For example, in the first second of free fall, the velocity of the object increases by 9.8 m/s. In the second second, it increases by an additional 9.8 m/s, and so on.
The concept of free fall is fundamental to understanding the motion of objects under the influence of gravity. It allows us to calculate the position, velocity, and acceleration of falling objects and is crucial in fields such as physics, engineering, and astronomy.
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Forces of 4.0 N and 6.5 N act on the 25 kg mass shown below. Find its acceleration.
Answer:
0.116 m/s
Explanation:
F (Net force)/25 = a
Net force =
4.0 x cos(30) = 3.5N
3.5 = 25 x a
3.5/25 = a
a = 0.116
Answer:
about 0.1133 m/s 66.4° below horizontal, to the left
Explanation:
You want the acceleration of a 25 kg mass with forces of 4.0 N and 6.5 N acting in the directions shown.
ResultantThe sum of the two forces is about 2.832 N in the direction to the left 66.4° below horizontal. The diagram of forces is the first attachment.
The acceleration is given by ...
a = F/m = (2.832 N)/(25 kg) ≈ 0.1133 m/s
The acceleration of the mass is about 0.1133 m/s to the left at an angle 66.4° below horizontal.
__
Additional comment
We like a vector calculator for doing this sort of math. If you're doing this "by hand" without making use of the vector capabilities of your calculator, you can do it several ways. One way is to add the horizontal and vertical components of the forces:
horizontal force = 2√3 -3.25√2 ≈ -1.1321vertical force = 2 -3.25√2 ≈ -2.5962Then the acceleration is the Pythagorean sum, divided by the mass:
a = √(1.1321² +2.5962²)/25 ≈ (√8.0219)/25 ≈ 0.1133 m/s
Another way to find the resultant force is to solve the triangle of forces using the law of cosines.
r = √(6.5² +4.0² -2·6.5·4.0·cos(15°)) ≈ √8.0219 N
Either way, you need a calculator, so you may as well make full use of its capability.
Calculate the momentum of a 10-kg cart moving at 15 m/s.
Answer:
150 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 10 × 15
We have the final answer as
150 kg.m/sHope this helps you
Rank the following configurations according to the magnitude of the force felt at point P
— strongest force = top
— weakest force = bottom
**20 points!!**
Spam/unrelated content= reporting
Answer:
3, 4, 1, 2
Explanation:
A sample of n = 16 scores produces a t statistic of t = 2.00. if the sample is used to measure effect size with r2, which value will be obtained for r2?
The correct answer is 4/19 value will be obtained for r2.
An effect size is an estimate of that number based on a sample that measures the magnitude of the association between two variables in a population. It can refer to the value of a parameter for a fictitious population, the value of a statistic generated from a sample of data, or the equation that operationalizes how statistics or parameters result in the impact size value. The correlation between two variables, the regression coefficient in a regression, the mean difference, or the likelihood that a specific event (like a heart attack) will occur are examples of effect sizes. Effect sizes are an important component of power analyses, sample size planning, and meta-analyses. They are a complement to statistical hypothesis testing.
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Suggest some ways Pakistan can adopt to compete with in the international trade counterparts.
Pakistan would have to increase its gross domestic production
How can Pakistan compete with in the international trade counterparts?Pakistan can take several steps to compete with its international trade counterparts:
Focus on increasing exports: Pakistan needs to increase its exports in order to compete in international trade. The government can provide incentives to exporters and support industries that have high export potential.
Improve trade infrastructure: Pakistan needs to improve its trade infrastructure to reduce the cost and time of trade. This includes improving port facilities, customs procedures, and transportation networks.
Diversify exports: Pakistan should diversify its exports to reduce its dependence on a few products or markets. This will help to mitigate risks and increase resilience to external shocks.
Develop human capital: Pakistan should invest in education and skills training to develop a skilled workforce. This will help to improve the quality of exports and competitiveness in the global market.
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it serves as the fuctional unit of the nervous system
Answer:
i would say the neuron
9. The Matt Schaub drops back 10 yards to throw a pass. He throws the pass 10 yards
of the to Daniels who gets tackled right there. What is the total displacement of the football?
The total displacement of the football is 20 yards.
What is displacement?
Displacement is defined as the change in position of an object.
Displacement is a vector quantity and has a direction and magnitude.
The calculate the total displacement of the football, we will determine the change in the position of the ball as shown below.
Δx = xf - xi
where;
xf is the final position of the footballxi is the initial position of the footballΔx = ( 10 yards + 10 yards ) - ( 0 yards )
Δx = 20 yards
Thus, the total displacement of the ball is a function of initial and final position of the ball.
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is the acceleration of a fluid particle necessarily zero in steady flow? explain.
No, the acceleration of a fluid particle is not necessarily zero in steady flow. In steady flow, the fluid properties at any point in the fluid remain constant over time, meaning that the fluid flow rate, velocity, and pressure do not change with time.
However, this does not necessarily mean that the acceleration of individual fluid particles within the flow is zero. According to the continuity equation of fluid mechanics, the rate of fluid flow through any given area in the flow must remain constant in steady flow.
This means that if the cross-sectional area of a pipe carrying fluid decreases, the fluid velocity must increase to maintain a constant flow rate. As the fluid velocity changes, the acceleration of individual fluid particles can also change in response to the changing velocity.
In addition, the Navier-Stokes equations, which describe the motion of fluid particles, include terms for acceleration, which can be non-zero in steady flow if the fluid velocity is changing at a given point.
Therefore, even in steady flow, the acceleration of a fluid particle can be non-zero if there is a change in the fluid velocity at a given point. In summary, while steady flow implies that the fluid properties do not change over time.
It does not necessarily mean that the acceleration of individual fluid particles within the flow is zero. The acceleration can be non-zero if there is a change in the fluid velocity at a given point.
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1o4 Fahrenheit is equal to
Answer:
40 degrees Celsius
Explanation:
Have a great summer :)
A little boy is standing at the edge of a cliff 500 m high. He throws a ball straight upward at an initial speed of 20 m/s, and it falls straight to the ground below. At a time of 6 seconds after it was thrown, how far above the ground is it? The acceleration due to gravity is 10 m/s2 .
Answer: At a time of 6 seconds after it was thrown, how far above the ground is it?
Explanation:
We can start by using the kinematic equation for vertical motion:
y = y0 + v0t + (1/2)at^2
where y is the final height, y0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity.
We can use this equation to find the height of the ball at a time of 6 seconds after it was thrown. The initial height, y0, is 500 m, the initial velocity, v0, is 20 m/s (upward), the acceleration due to gravity, a, is -10 m/s^2 (downward), and the time, t, is 6 seconds.
Plugging in these values, we get:
y = 500 m + (20 m/s)(6 s) + (1/2)(-10 m/s^2)(6 s)^2
Simplifying, we get:
y = 500 m + 120 m - 180 m
y = 440 m
Therefore, at a time of 6 seconds after it was thrown, the ball is 440 meters above the ground.
{Hope This Helps! :)}
What factors determine if an earthquake can be classified as an induced earthquake?
Answer:1 }The state of stress of the earth's crust
2}Existing faults
Explanation:
What force is keeping the Earth in orbit around the Sun? * HELP FAST PLEASE.
1 point
A Centripetal Force due to gravity.
B Inertia due to gravity.
C Friction due to gravity.
D Magnetic Force due to gravity.
centripetal force acts *
1 point
A in the same direction as tangential speed.
B perpendicular to tangential speed but in the same plane.
C in the direction opposite tangential speed.
D perpendicular to the plane of circular motion.
Answer:
magnetic force due to gravity
Explanation:
nowno that is because that's what the geography teacher taught us back in don't remember but it's true
A student pulls on a rope attached to a flagpole to raise a flag. It requires a lot of effort for the student to raise the
How can a teacher help the student make raising the flag easier?
By adding grease to the wheel of the pulley
By decreasing the size of the pulley
By increasing the length of the rope
Answer:
A: By adding grease to the wheel of the pulley
Explanation:
We know that it is not B (By decreasing the size of the pulley) because it would just make it harder for the student to do that task, by increasing the amount of force needed to complete the task. And we know it is not C (By increasing the length of the rope) because that would just give more rope to use, and not affect the amount of force needed. This leaves option A as the answer.
Pls mark Brianliest with the crown.
What is a vector?
A. A quantity that does not indicate a direction. B. The direction of a vector. C. A quantity with magnitude and a direction. D. A measurement of distance.
Answer:
C. A quantity with magnitude and a direction.
Explanation:
A vector can be defined as a quantity with magnitude and direction. Some examples of vector quantities are velocity, position, displacement, force, torque, acceleration.
For example, given the following data;
Time, t = 18.5secs
Final velocity = 78m/s
Initial velocity = 0
Substituting into the equation;
\(a = \frac{78 - 0}{18.5}\)
\(a = \frac{78}{18.5}\)
Acceleration, a = 4.22m/s²
Therefore, the acceleration of the object is 4.22m/s² due North.
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.
Mathematically, acceleration is given by the equation;
\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)
\(a = \frac{v - u}{t}\)
Where,
a is acceleration measured in \(ms^{-2}\)
v and u is final and initial velocity respectively, measured in \(ms^{-1}\)
t is time measured in seconds.
Answer:
C. A quantity with magnitude and a direction.
Explanation:
Vector QuantityA physical Quantity, which has magnitude, direction and units But must follow the traingle law of vector addition
Where loads are likely to be ON for 4 hours, the computed load for sizing branch-circuit conductors and OCPDs must be calculated by multiplying the actual load current times ___.
We have to multiply the actual load current times by 1.25 (2017 NEC: 210.20(A)).
NEC 210.20(A) Continuous and Noncontinuous Loads:
The rating of the overcurrent device must be no less than the noncontinuous load plus 125 percent of the continuous load when a branch circuit delivers continuous loads or any combination of continuous and noncontinuous loads.
With one exception, the ampere rating of the overcurrent device may not be less than the total of the continuous load and the noncontinuous load when the assembly, including the overcurrent devices safeguarding the branch circuit(s), is rated for operation at 100% of its rating.
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A proton moves vertically upward and perpendicular to a uniform magnetic field. It deflects to the left as you watch it. What is the magnetic field direction?
Answer:
The magnetic field will be directed away from me into the screen
Explanation:
The force on a positive charge in a magnetic field can be shown by Lorentz right hand rule. If the palm of the left hand is held out with the fingers (representing the field) held parallel to the palm, and the thumb (representing the direction of motion of the positive charge), held perpendicular to the rest of the fingers. The palm will push in the direction of the force on the charge.
Having this in mind, if the thumb points vertically up, with the with the pal facing the left, then the fingers (representing the field) points away from me into the screen.
What tissue composes the basement membrane surrounds cushions blood vessels and nerves
Answer:
Explanation:
Fascia is loose connective tissue that surrounds and interpenetrates all components of the human body including muscles, nerves, blood vessels, and organs. It provides structural integrity, serves as a matrix for intercellular communication, and is involved in biochemical and bioelectric signaling.
HELP PLEASE!!! 15 POINTS
How does the speed of waves vary in different media?
Radio waves are used to transmit verbal messages through space.
IS THIS TRUE OR FALSEE???
the sun is one hundred and fifty million kilometers away from the earth write this as an ordinary whole number
Answer:
150000000
Explanation:
There you go :)
Answer:
150,000,000
Explanation:
150+6zeros=15000000
Mike is pushing a car up a ramp. What could Mike do to reduce the effort force he needs to use to push the car?
Answer:
He could use a really big pulley system or get in it and drive or call a tow truck.
a ufo going 64 m/s west suddenly experienced a constant acceleration for 63 s during which its displacement was 21,892.5 m west. determine the final speed of the ufo
The final speed of the UFO after experiencing a constant acceleration for 63 seconds is 351.3 m/s.
What is accelaration?Acceleration is the rate at which an object increases its speed, velocity or rate of change. It is the rate of change of velocity over time, or the rate of change of the position of an object. Acceleration can be either positive, when the speed of an object is increasing, or negative, when the speed of an object is decreasing.
The final speed of the UFO can be determined by using the equation, v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. So, in this case, v = 64 + (21,892.5/63) = 351.3 m/s. Therefore, the final speed of the UFO after experiencing a constant acceleration for 63 seconds is 351.3 m/s.
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Two people, Micah and Lyra, with different near points are equally close to an object. Both inspect the object through the same magnifier by holding the lens close to the eye. Micah's near point is located farther away from his eye than Lyra's near point is located relative to her eye. Micah will experience a larger magnification for which of the following reasons?
When the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra.
Micah sees a larger image than Lyra sees.
Micah can see the image clearly from a larger distance than Lyra can.
Lyra can see the image clearly from a larger distance than Micah can.
The angular size of the image relative to the angular size of the object at the near point is greater for Micah than for Lyra.
Micah will experience a larger magnification is because the angular size of the object is smaller for Micah than for Lyra.
Why angular size of the object is smaller for Micah than for Lyra?
The magnification produced by a magnifier is given by the formula:
M = (25cm/f) + 1, where f is the focal length of the magnifier.
The magnification is larger when the focal length is smaller. However, in this case, both Micah and Lyra are using the same magnifier, so the focal length is the same for both of them.
The near point is the closest distance at which an object can be brought into focus by the eye. The near point varies from person to person, and it depends on the elasticity of the lens and the shape of the eye. In this case, Micah's near point is located farther away from his eye than Lyra's near point is located relative to her eye. This means that Micah's eye has less ability to focus on close objects than Lyra's eye.
When an object is located at the near point, the image formed on the retina is at its maximum size.
The angular size of the object is given by the formula:
θ = tan⁻¹ (s/d), where s is the size of the object and d is the distance between the object and the eye.
Since Micah's near point is farther away than Lyra's near point, the distance d is larger for Micah. This means that the angular size of the object is smaller for Micah than for Lyra.
When Micah uses the magnifier to inspect the object, the magnification will be larger because the angular size of the object is smaller.
This is because the magnification is proportional to the ratio of the angular size of the image to the angular size of the object.
Since the angular size of the object is smaller for Micah, the angular size of the image produced by the magnifier will be larger, resulting in a larger magnification for Micah.
Therefore, the correct reason why Micah will experience a larger magnification is because the angular size of the object is smaller for Micah than for Lyra when the object is located at his near point.
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When the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra, for which reason Micah will experience a larger magnification.
The statement that is correct for the given question is "When the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra."
Micah and Lyra are two people with different near points but are equally close to an object.
Both inspect the object through the same magnifier by holding the lens close to the eye. In this context, magnification is the ratio of the size of the image seen through the magnifier to the size of the object when viewed directly.
The distance between the object and the lens must be greater than the focal length of the lens to create a virtual image. Micah's near point is located farther away from his eye than Lyra's near point is located relative to her eye.
So, Micah will experience a larger magnification for the reason that when the object is located at his near point, the angular size of the object is smaller for Micah than for Lyra.
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Verify that the intermediate value theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f(x) = x2 5x 1, [0, 9], f(c) = 15
This is also numerically proved by solving f(c) = 15 ⇒ c² - 5c + 1 - 15 = 0,which can be written as c² - 5c - 14 = 0, whose solutions are c = 7 and c = -2, but -2 doesn't belong to [0, 9]. Hence, c = 7.
According to the intermediate value theorem, since f(0) = 1 and f(9) = 67, there is at least one number c in the interval [0, 9] such that f(c) = 15.
The Intermediate Value Theorem states that if a function is continuous on the closed interval [a, b], then it must have at least one value c in the open interval (a, b) such that f(c) is equal to any number M,
where f(a) ≠ M and f(b) ≠ M.
If f(x) = x² - 5x + 1 and [0, 9] is given,
we can see that: f(0) = 1,f(9) = 67.
From the theorem, we know that f(c) = 15 since 15 lies between f(0) and f(9).
therefore, here exists a number c in the interval [0, 9] such that f(c) = 15.
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You weigh 710 N. What would you weigh if the Earth were three times as massive as it is and its radius were five times its present value? Answer in units of N
Answer:
85.2 N
Explanation:
You want to know your weight if the Earth were 3 times as massive and had 5 times the present radius. Your weight is 710 N.
WeightYour weight is proportional to the mass of the Earth and the square of the radius between your mass and the center of the Earth. The revised dimensions of the earth would multiply your weight by ...
W = k(M/r²) = 710 N
W' = k((3M)/(5r)²) = k(M/r²)(3/25) = (710 N)(3/25) = 82.5 N
Your weight would be 82.5 N.
A baseball player pitches a 0.14-kg baseball at 30 m/s.
–Calculate the kinetic energy for the baseball.
–How much work did the player do on the ball to give it this energy?
The kinetic energy of the baseball be 63 joule.
The player had to work of 63 joule on the ball to give it this energy.
What is kinetic energy?According to the definition of kinetic energy in physics, it is the amount of work that an item may accomplish while in motion.
As a scalar quantity, kinetic energy can only be fully defined by its magnitude.
Given that:
Mass of the baseball: m = 0.14 kg.
Speed of the baseball: v = 30 m/s.
So, kinetic energy of the baseball= 1/2×0.14×30² joule = 63 joule.
Hence, the player had to work of 63 joule on the ball to give it this energy.
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Determine the mass of a boat that is propelled forward by a force of 1250N at an acceleration of 3 m/s2.
Answer:
416.6 KG
Explanation:
Due to the mass being missing from the equation you divide the force by the acceleration
Find the voltage induced across a coil of 22 mH if the rate of change of current through the coil is: a. 1 A/s b. 20 mA/ms c. 6 mA /100 μs
The voltage induced across a coil of 22 mH (millihenries) is:
a. 22 V
b. 440 V
c. 1.32 V
Determine the voltage?The voltage induced across a coil can be calculated using the formula:
V = L * di/dt
where V is the voltage induced, L is the inductance of the coil, di/dt is the rate of change of current.
a. For a rate of change of current of 1 A/s, the voltage induced is:
V = (22 mH) * (1 A/s) = 22 V
b. For a rate of change of current of 20 mA/ms, the voltage induced is:
V = (22 mH) * (20 mA/ms) = 440 V
c. For a rate of change of current of 6 mA/100 μs, the voltage induced is:
V = (22 mH) * (6 mA/100 μs) = 1.32 V
Therefore, the voltage induced across the coil depends on the rate of change of current and the inductance of the coil.
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Diffraction of white light with a single slit produces bright lines of different colors.What is the color of the central image?
Answer:
white
Explanation:
This experiment causes lines of different colors because the constructive interference depends on the wavelength, so for different wavelength, the position of the maximum will be different.
Now, in diffraction fo a single slit we always have a central maximum (for all the colors)
This means that after the diffraction, we will have that all the colors have a maximum in the center, which will produce white light again, then the color of the central image is white
what are the stages of planet formation according to the nebular hypothesis? question list (6 items) (drag and drop into the appropriate area) more collisions led to protoplanets; proto earth became round due to gravity. nebula formed from hydrogen and helium. after earth formed, it was hit by a protoplanet that ejected debris which then formed the moon. earth's atmosphere formed from volcanic gas. dust and ice particles began to stick together, forming planetesimals. gravity pulled gas and dust inward to form an accretionary disk.
Nebula Formed from Hydrogen and Helium: A nebula is a large cloud of dust, hydrogen, helium and other ionized gases.
What is Hydrogen?Hydrogen is the most abundant element in the universe and can be found in almost all types of matter. It is a colorless, odorless, tasteless gas that exists as the simplest atom. Hydrogen has the atomic number 1, meaning it contains one proton in its nucleus. It is represented by the symbol H and has an atomic weight of 1.008. Hydrogen is an important element in many different areas of science and technology, including in fuel cells, in the production of ammonia and other chemicals, and in the processing of metals such as steel. It is also used in the production of water vapor, which is an important part of the Earth's atmosphere.
Dust and Ice Particles Began to Stick Together, Forming Planetesimals: Planetesimals are small particles of dust and ice that form in a protoplanetary disk and stick together due to gravity.
More Collisions Led to Protoplanets: As the planetesimals collide and get bigger, they become protoplanets. This is the first stage of planet formation, and the protoplanets can be made of gas, dust, and ice.
Proto Earth Became Round Due to Gravity: As the protoplanet grows larger, the gravity of its mass begins to pull it into a round shape.
Earth's Atmosphere Formed from Volcanic Gas: As the proto-Earth cooled, the gases in the atmosphere were released from the planet's volcanoes.
Gravity Pulled Gas and Dust Inward to Form an Accretionary Disk: As the proto-Earth grew, the gravity of its mass pulled in gas and dust from its surrounding area.
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For the electric circuit given below, calculate: 3 (i) the equivalent resistance of the circuit, (ii) the total current drawn from the battery and (iii) the voltage across 7Ω resistor.
Answer:
1)31/3Ω
2)18/31A
3)4.06V
Explanation:
According to the diagram and 10 Ω resistors are parallel to each other, parallel resistor can be calculated using the formula below
1/R= 1/R1 + 1/R2
But we know R1= 5 Ω and R2= 10 Ω
1/R= 1/5 + 1/10
R= 10/3 Ω
=3.33 Ω
Then if we follow the given figure, 10/3 Ω and 7Ω are now in series then
Req = 10/3 +7
Req= 31/3 Ω
Therefore, equivalent resistance = 31/3 Ω
According to ohms law we know that V= IR
Then I= V/R
Where I= current
R= resistance
V= voltage
I= 6/(31/3)
I= 18/31A
We can now calculate the voltage accross the resistor which is
V=(18/31)× 7
V=4.06V
Therefore, the voltage accross the 7 ohm resistor is 4.06V
CHECK THE FIQURE AT THE ATTACHMENT