If Anthony was running for 300 s after starting at rest, what was his final velocity if he
had an acceleration of 0.05 m/s2?
.25 m/s
.01 m/s
100 m/s
15 m/s

The magnitude of the acceleration of the elevator is approximately 3.51 \(m/s^2\).

(a) The scale reading when the elevator is at rest gives the normal force acting on the person, which is equal in magnitude to the person's weight. Thus, the weight of the person is 598 N when the elevator is at rest.

(b) The weight of an object is given by the product of its mass and the acceleration due to gravity.

weight = mass x acceleration due to gravity

598 N = mass x 9.81 \(m/s^2\)

mass = 60.9 kg

Therefore, the person's mass is approximately 60.9 kg.

(c) We can use Newton's second law (F = ma) to find the acceleration of the elevator. The net force acting on the person is given by:

net force = final force - initial force

net force = 384 N - 598 N

net force = -214 N

net force = mass x acceleration

-214 N = 60.9 kg x acceleration

acceleration = -3.51 \(m/s^2\)

Therefore, the magnitude of the acceleration of the elevator is approximately 3.51 \(m/s^2\).

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Answer:

A car moves 65 km due east and then 45 km due west. The car has traveled 65 km east and 45 km west, so it has covered a total distance of 65 + 45 = 110 km.

However, the displacement is the final point minus the initial point and not the total distance traveled. In this case, the car has traveled 65 km east and 45 km west, so it is back to its initial point. Therefore, its total displacement is 0 km.

Answer: The total displacement of the car is 20 km West.

Explanation:

This is because it moved 65 km East and then 45 km West, which effectively cancels out 65-45 = 20 km of the Eastward movement.

It does not matter how much distance the car covered in total, it only matters the net distance it moved in a certain direction.

The sports car is moving at approximately 24.7 meters per second. This means that for every second, the car covers a distance of 24.7 meters. The calculated speed provides information about the car's rate of motion and allows us to understand how fast it is traveling down the road.

To determine the speed of the car, we can use the equation for kinetic energy:

KE = 1/2 * m * v^2

Where:

KE is the kinetic energy,

m is the mass of the car, and

v is the velocity or speed of the car.

Given:

Mass of the sports car (m) = 1200 kg

Kinetic energy (KE) = 365,000 J

Rearranging the equation, we get:

v = √(2 * KE / m)

Plugging in the values, we have:

v = √(2 * 365,000 J / 1200 kg)

v = √(730,000 J / 1200 kg)

v ≈ √608.333 m^2/s^2

v ≈ 24.7 m/s

Therefore, the sports car is moving at approximately 24.7 meters per second. This means that for every second, the car covers a distance of 24.7 meters. The calculated speed provides information about the car's rate of motion and allows us to understand how fast it is traveling down the road.

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The first statement is true; if dim V = p and if S is a linearly dependent subset of V, then S contains more than p vectors.

The second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearlyly dependent.

Explanation:

If S is linearly dependent, then there is at least one vector in S that can be written as a linear combination of the remaining vectors. If this is the case, then this vector is redundant, and it can be removed from S. This means that we can repeat the process until we have removed all the redundant vectors from S.So, let us assume that S is a linearly dependent subset of V such that dim V = p, then we have the following:dim (span S) < dim Vp. So S contains more than p vectors.

The  second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.

Explanation:Let us assume that S spans V and if T is a subset of V that contains more vectors than S, then T must have a vector not in S. We can add this vector to S to get a set that contains all the vectors in T. The resulting set is linearly dependent because it contains more vectors than S, which is known to span V.

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Answer:

YES

Explanation:

The dependent variable is the variable that is being measured or tested in an experiment. For example, in a study looking at how tutoring impacts test scores, the dependent variable would be the participants' test scores, since that is what is being measured

Answer:

You do measure a dependent variable

Answer:

either atoms or molecules

Answer:

Weight (Force) = mass x acceleration due to gravity Weight = 90.0 kg x 9.80 m/s2 Weight = 882 N or 882 kg m/s2 Page 2 Newton's Notes 2 Gravity has an effect on an object in the vertical direction only.

Answer:

882.9N

Explanation:

1kg is 9.81n

Answer:

(a) -6.67 \(m/s^2\)

(b) 0.68

Explanation:

Given that the mass of the truck, \(m_1=8000\) kg.

Mass of the package, \(m_2=3000\) kg.

As the package does not slide, so the acceleration of both, truck as well as the package, is the same.

Let \(a\;\; m/s^2\) is the acceleration of the combined mass, m.

\(m=m_1+m_2= 8000+3000=11000\) kg.

The initial velocity of the combined mass, u= 20 m/s.

Time required to stop, t=3 seconds.

Final velocity, v=0.

Displacement traveled, s=50 m.

(a) As  \(a=\frac {v-u}{t}\)

\(\Rightarrow a=\frac{0-20}{3}=-\frac{20}{3} =6.67 m/s^2\)

Hence the acceleration of the truck is \(-6.67 m/s^2.\)

(b) Now, \(a=-6.67 m/s^2\) is the acceleration of the package, this acceleration is due the frictional force, f.

Due to inertia, on application of break, the package have tendency to slide to left (in  the direction of velocity). But the package does not slides, this is only due to the frictional force, f, which acts in the right direction ( opposite to the direction of velocity).

So, the magnitude of frictional force required on \(m_2\)  to avoid slide is

\(f=|m_2a|=\frac{20}{3}m_2\times(i)\)

Now, let \mu be the minimum coefficient of the friction, so

The force due to friction, \(f_r= \mu N\),

where \(\mu N\) is the normal reaction.

\(N=m_2g\), where g is the acceleration due to gravity.

So, \(f_r=\mu m_2g\cdots(ii)\)

To avoid slide, \(f_r\geq f\)

\(\Rightarrow \mu m_2g\geq\frac{20}{3}m_2\) [from (i)and (ii)]

\(\Rightarrow \mu\geq \frac{20}{3\times 9.81}\)    \([ as \;g=9.81 m/s^2]\)

\(\Rightarrow \mu \geq 0.68\)

Hence, the minimum value of coefficient of friction between packages and the truck os 0.68.

The distance to the star, in parsecs, is 30 pc.

The distance to the star, in light years, can be calculated using the conversion factor of 3.26 light years per parsec. Therefore, the distance to the star in light years is approximately 97.8 light years.

The distance to a star can be determined using its measured parallax angle. Parallax is the apparent shift in the position of an object when viewed from two different points. It is measured in units of arc seconds.

The formula to calculate the distance to a star in parsecs is:

Distance (in pc) = 1 / Parallax (in arc sec)

Given that the measured parallax is 1/30 of an arc second, we can substitute this value into the formula:

Distance (in pc) = 1 / (1/30) = 30 pc

This gives us the distance to the star in parsecs.

To convert the distance to light years, we use the conversion factor of 3.26 light years per parsec. Multiplying the distance in parsecs by this conversion factor gives us the distance in light years:

Distance (in light years) = 30 pc × 3.26 light years/pc = 97.8 light years

Therefore, the distance to the star is approximately 30 parsecs or 97.8 light years.

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Based on the surface temperature of the Sun, which is approximately 6,000 K, most photons that leave its surface lie in the visible region of the electromagnetic spectrum.

The distribution of photons emitted by an object depends on its temperature. The Sun's surface temperature of 6,000 K corresponds to a peak emission in the visible region of the electromagnetic spectrum. According to Planck's law of black-body radiation, as the temperature of an object increases, the peak wavelength of its emitted photons shifts to shorter wavelengths.

The visible region of the electromagnetic spectrum encompasses the range of wavelengths that are detectable by the human eye, approximately 400 to 700 nanometers (nm). The Sun emits photons across the entire electromagnetic spectrum, but the majority of photons emitted from its surface lie within the visible range. This is why we perceive the Sun as a source of visible light.

While the Sun emits photons in other regions of the spectrum, such as ultraviolet, infrared, and even some X-rays and microwaves, the bulk of the photons leaving its surface fall within the visible range. This is why we primarily observe the Sun's light as visible light.

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The eccentricity of an orbit when both focal points are located at the sun is zero.

What is an orbit?

An orbit is the trajectory, or path, of an object that revolves around another object, the center of mass or a gravitational point. All planets orbit the sun, and the moon orbits the earth, for example, An elliptical orbit is the shape of many planetary orbits.

As a result, the eccentricity of the orbit is significant.

What is Eccentricity?

The degree of circularity of an orbit is referred to as its eccentricity. When the distance between the two foci is divided by the length of the major axis, eccentricity is calculated.

A perfectly circular orbit has an eccentricity of zero.

An ellipse with an eccentricity of 1 is a parabolic orbit. When eccentricity is greater than one, the orbit is hyperbolic.

The eccentricity of an orbit when both focal points are located at the sun:

Since there is only one focus, and the center of the sun is located there, the eccentricity of such an orbit is zero. Because there is only one focus, the distance between the two foci is also zero.

As a result, a planet's orbit with a sun-centered focus is always circular.

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The minimum wavelength of light absorbed by germanium with a band gap energy of 0.67 eV is approximately 1.234 μm (micrometers).

To calculate the minimum wavelength of light absorbed by germanium which has a band gap energy of 0.67 ev, we can use the relationship between energy and wavelength given by Planck's equation:

E = hc / λ

where E is the energy of a photon, h is Planck's constant (approximately 6.626 × 10^(-34) J·s), c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s), and λ is the wavelength of light.

The band gap energy (Eg) of germanium is given as 0.67 eV.

We need to convert the electronvolts (eV) to joules (J) before proceeding with the calculation.

1 eV = 1.602 × 10^(-19) J

- Band gap energy of germanium (Eg) = 0.67 eV = 0.67 × 1.602 × 10^(-19) J

Now, rearranging the equation to solve for wavelength (λ):

λ = hc / E

Substituting the values:

λ = (6.626 × 10^(-34) J·s * 3.00 × 10^8 m/s) / (0.67 × 1.602 × 10^(-19) J)

Calculating the numerical value:

λ ≈ 1.234 μm

Therefore, the minimum wavelength of light absorbed by germanium with a band gap energy of 0.67 eV is approximately 1.234 μm (micrometers).

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Every time the driver presses the brakes, the anti-lock brake system activates. ABS was initially created for boats. If the brake pulsates while ABS is active.

Every time the driver presses the brakes, the anti-lock brake system activates. When ABS is engaged, a grinding sound is typical. ABS enables you to brake as hard as possible while still steering. Your ABS will not function properly if a warning light illuminates.

By giving your tires some traction again in an emergency, anti-lock braking systems (ABS) assist you in steering. How It Works: aids in preventing wheel locking, potentially enabling the motorist to maneuver to safety. What It Isn't Able To Do The stopping distance may not be shortened; the pedal may shake or push back; this is okay.

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Answer:

Bernoulli is A

Archimedes is B

Pascal is C

Explanation:

Hope this helps dude

Answer:

Pascal's Law = C

Archimedes's Law = B

Bernoulli's Law = A

Explanation:

Alrighty, here are the prinicples needed:

In Pascal's law, he states that the pressure applied to an enclosed fluid is directly transmitted without the change in magnitidue. With that, magnitude in every point of the fluid and the walls of the container are remained unchanged. To say simply,the fluid is equal to the pressure at any point in all directions.

\(P=\frac{F}{A}\)

Where:

F = Force

A = Area

Archimedes Law states that the buoyant force is the weight of the fluid displaced. When any boat displaces a weight of water equal to its own weight, it floats. This is often called the “principle of flotation” where a floating object displaces a weight of fluid equal to its own weight.

\(F_{b} = -pgV\)

Fb =  buoyant force

-p = fluid density

g = acceleration due to gravity

V = fluid volume

The Bernoulli law states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a constant value.

I hope that this provided you with some clarification and that you have a nice day. I would be happy to help you again in the future. :D

A solid disk of mass m and radius r undergoes an acceleration a The radius of the second disk is 4m.

The resistance of the body to acceleration (change of velocity) in the presence of a net force is also measured. The gravitational pull of an object to other bodies is also influenced by its mass.

The kilogramme serves as the mass basis unit in the SI (kg). In physics, mass is not the same as weight, despite the fact that weight is frequently measured using a spring scale as opposed to a balance scale and direct comparison with known masses to calculate mass. The lower gravity on the Moon causes an object to weigh less than it does on Earth, but it still has the same mass. Given that mass is a property of space rather than a force.

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Given :

A 1200 kg truck traveling at 20 m/s towards the east.

To Find :

The magnitude and direction of the momentum.

Solution :

We know, momentum is given by :

Momentum, P = mv

P = 1200 × 20 kg m/s

P = 24000 kg m/s

Now, we know, direction of momentum is same as the direction of velocity.

Therefore, momentum of truck is 24000 kg m/s and direction is towards the east.

Answer:

The period (T) of a satellite in a circular orbit can be determined using the formula:

T = 2πr/v

where r is the radius of the orbit and v is the speed of the satellite.

We can rearrange this formula to solve for v:

v = 2πr/T

Substituting the given values, we get:

v = 2π(3.5 × 10^7 m)/(6.3 h × 3600 s/h) ≈ 5,099 m/s

The centripetal force (F) that keeps the satellite in orbit is given by:

F = mv^2/r

where m is the mass of the satellite.

The gravitational force (Fg) between the satellite and Roton is given by:

Fg = GmM/R^2

where G is the gravitational constant, M is the mass of Roton, and R is the radius of Roton.

Since the satellite is in a circular orbit, the centripetal force is equal to the gravitational force:

mv^2/r = GmM/R^2

Simplifying and solving for M, we get:

M = v^2r/GR^2

Substituting the given values, we get:

M = (5,099 m/s)^2 × 3.5 × 10^7 m/(6.674 × 10^-11 m^3/kg s^2) × (1.75 × 10^7 m)^2 ≈ 8.35 × 10^23 kg

The free-fall acceleration (g) on the surface of Roton is given by:

g = GM/R^2

Substituting the calculated value of M and the given value of R, we get:

g = (6.674 × 10^-11 m^3/kg s^2) × (8.35 × 10^23 kg)/(1.75 × 10^7 m)^2 ≈ 8.73 m/s^2

Therefore, the magnitude of the free-fall acceleration on the surface of Roton is approximately 8.73 m/s^2

Answer: I believe it's B

Answer:

it is chemical energy

Explanation:

that is the energy used by our body, so it is the one that we will loose. and the energy that we gain is also chemical energy

Answer:

Mechanical advantage = 5

Explanation:

Given the following data;

Output force = 500N

Input force = 100N

To find the mechanical advantage;

\( Mechanical \; advantage = \frac {0utput \; force}{1nput \; force}\)

\( Mechanical \; advantage = \frac {500}{100}\)

M.A = 5

Answer:

the Virgo consentellation

Explanation:

To calculate the percent crystallinity of branched polyethylene, you need to know its density. However, the density alone is not sufficient to determine the crystallinity.

Crystallinity is usually determined using techniques such as X-ray diffraction or differential scanning calorimetry. These techniques analyze the polymer's structure and thermal behavior to determine the percentage of crystalline regions.

If you have additional information, such as the degree of branching or molecular weight, please provide it so that I can assist you further. Crystallinity is usually determined using techniques such as X-ray diffraction or differential scanning calorimetry (DSC).

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We are given that a small steel ball is projected horizontally off the top of a long flight of stairs with an initial speed of 3.0 m/s.

Each step of the stairs is not mentioned in the question, so we can assume that the steps are of equal height.
Since the ball is projected horizontally, its initial vertical velocity is zero. Hence, the only force acting on it is gravity, which causes it to fall vertically downward.
Therefore, the ball will hit the ground at the same time it would take for an object to fall vertically from the same height. We can use the formula h = (1/2)gt^2 to find the time taken to hit the ground, where h is the height and g is the acceleration due to gravity (9.8 m/s^2).
Assuming the height of each step is h, the total height of the stairs is N * h, where N is the number of steps.
Using the formula, (1/2)gt^2 = N * h, we can solve for t. Rearranging the equation, we get t^2 = (2N * h) / g. Taking the square root of both sides, we find t = √((2N * h) / g).
To find the time it takes for the small steel ball to hit the ground, we need to know the height of each step (h) and the total number of steps (N). We can use the formula t = √((2N * h) / g) to calculate the time.

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Answer:

The voltmeter, some wire, and the directional compass

Explanation:

The battery, wire, directional compass and a iron nail  can be used together to demonstrate the magnetic field of moving charge.

In the surroundings of a magnet, an electric current, or a shifting electric field, there is a vector field called a magnetic field where magnetic forces can be seen. Electric charges in motion and the intrinsic magnetic moments of elementary particles connected to the fundamental quantum characteristic known as spin create a magnetic field. One of the four fundamental forces of nature, the electromagnetic force, is made up of the electromagnetic field, which includes both the magnetic field and the electric field.

A battery, wire and a iron nail can be used to form a circuit, where iron nail is used as a resistor to stabilize the battery. The current is now flowing through the closed circuit. Now if a directional compass is brought near the circuit, it will deflect in certain direction to demonstrate the magnetic field produced by the moving charge.

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Answer:

option B

Explanation:

given,

Satellite B has an orbital radius nine times that of satellite A.

R' = 9 R

now, orbital velocity of the satellite A

........(1)

now, orbital velocity of satellite B

from equation 1

hence, the correct answer is option B

Answer:

Explanation:

Specific heat capacity of a body is expressed as H = mcΔt

H = heat energy released by the body

m = mass of the body

c = specific heat capacity of the body

Δt  = change in temperature of the body

Given H = 2000J, m = 0.5 kg, c = 4,186 J/kg° C.

Δt = H/mc

On substituting the given value;

Δt  = 2000/4,186*0.5

Δt   = 2000/2093

Δt = 0.96°C

The temperature difference between when the blood arrives at the body surface and returns back to the Interior of the body is 0.96°C

Sir Isaac Newton's First Law of Motion is known as the Law of Inertia.

Sir Isaac Newton's First Law of Motion is commonly known as the Law of Inertia. This term was first used in this context by Johannes Kepler earlier in the 17th century. The Law of Inertia states that an object at rest will remain at rest, and an object in motion will continue in motion at a constant velocity unless acted upon by an external force.

To explain this law in more detail, consider the following steps:

1. An object at rest will not move unless a force is applied to it. This means that if you place a book on a table, it will remain stationary unless you push or pull it.

2. An object in motion will continue to move at a constant speed and in a straight line unless acted upon by an external force. This means that if you roll a ball on a flat surface, it will keep moving in a straight line and at the same speed unless something interferes, such as friction or a wall.

3. The Law of Inertia applies to all objects, regardless of their mass. However, it is essential to note that more massive objects require more force to change their motion compared to smaller objects.

In conclusion, Newton's First Law of Motion, also known as the Law of Inertia, explains that objects at rest will stay at rest, and objects in motion will remain in motion unless acted upon by an external force. This concept was first introduced by Johannes Kepler earlier in the 17th century and is a fundamental principle in the field of physics.

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Like gravitational force, an electric force is a(an)

a. contact force

b. applied force

c. frictional force

d. field force ✓

Answer: mechanical waves are caused by the disturbance of vibration in matter, whether solid, gas, liquid, or plasma.

Explanation: