an arrow is shot straight up in the air at an initial speed of 14.5 m/s. after how much time is the arrow moving downward at a speed of 8.35 m/s?

Answer: It is C I guess.

The number of significant figures in the final answer for 2.679 times 7.0 is equal to 2 significant figures.

In Mathematics, a significant figure can be defined as the number of digits in a numerical data (numeral or number), typically a measurement, which enhances its degree of accuracy.

Based on the information provided above, we have the following mathematical expression;

Mathematical expression = 2.679 times 7.0

Re-writing the mathematical expression in scientific notation, we have the following:

Mathematical expression = 2.679 × 7.0

Mathematical expression = 1.9 × 10¹

Mathematical expression = 19 (2 significant figures).

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The angular acceleration of the wheel is 12.5 rad/s². The result is obtained by using the equation of tangential force.

Tangential force is the force acting on a body in the direction of the tangent to the curved path of the body. The equation of tangential force is

Ft = m × at

Where

The tangential acceleration can be calculated by

at = rα

Where

Suppose you spin a bicycle wheel. It has

Find the angular acceleration!

The radius of the spin is

r = ½d

r = ½(0.85)

r = 0.425 m

The tangential acceleration is

Ft = m × at

24 = 4.5 × at

at = 24/4.5

at = 5.3 m/s²

The angular acceleration would be

at = rα

5.3 = 0.425α

α = 5.3/0.425

α = 12.5 rad/s²

Hence, the spinning bicycle wheel has the angular acceleration of 12.5 rad/s².

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If cos∠b = sin∠a and m∠a = 32°, then the measure of ∠b is 58°.

If cos∠b = sin∠a and m∠a = 32°, then we can use the relationship between the sine and cosine functions to find the measure of ∠b.

The sine and cosine functions are complementary, which means that they are related by the identity:
sin²(x) + cos²(x) = 1

If cos∠b = sin∠a, we can substitute the given value:
cos∠b = sin 32°

Now, we can use the complementary identity to solve for sin²(32°) + cos²(32°) = 1

sin²(32°) = 1 - cos²(32°)

If we know the value of sin∠a which is sin 32°,

we can solve for cos²(32°) = 1 - sin²(32°) = 1 - (sin 32°)² = 1 - (0.55)² = 0.32

then we can find the measure of angle b.

cos∠b = cos(90° - ∠a) = cos(90° - 32°) = cos 58°

Therefore, the measure of ∠b is 58°. So the answer is 32° 58° 90° 148°

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Answer:

58

Explanation:

i took the quiz

A scuba diver descending by 1 meter and fails to equalize, then the pressure difference on the two sides of an eardrum would be approximately 1 atmosphere (ATA).

A scuba diver who descends 1 meter without equalizing will experience a pressure difference of about 1 atmosphere (ATA) on the two sides of their eardrum. This can cause pain and damage to the eardrum if not addressed.

Divers must properly equalize the pressure in their ears and sinuses as they descend to prevent injury. It is important to note that as the diver goes deeper the pressure increases, so the deeper the diver goes, the more important it becomes to equalize properly. If the diver has a difficulty equalizing it's important to ascend and address the problem before continuing the dive.

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The cart's speed at point b is 19.6 ft/s. To solve this problem, we must use the kinematic equations of motion.

First, we can calculate the average acceleration of the cart over the entire journey from point a to point c. We can calculate the average acceleration by dividing the change in velocity (19.6 - 12.2 = 7.4 ft/s) by the total time (5.00 s). This gives an average acceleration of 1.48 ft/s^2.

Next, we can calculate the average acceleration of the cart from point b to point c. We can calculate this by dividing the change in velocity (19.6 - 12.2 = 7.4 ft/s) by the time (2.00 s). This gives an average acceleration of 3.7 ft/s^2.

Finally, we can use the equation v = v_0 + a*t to calculate the velocity of the cart at point b. We know the initial velocity (v_0) is 12.2 ft/s, the acceleration (a) is the average acceleration for the journey from point b to point c (3.7 ft/s^2), and the time (t) is the time of the journey (2.00 s).

Plugging these values into the equation gives us v = 12.2 + (3.7)(2.00) = 19.6 ft/s. Therefore, the cart's speed at point b is 16.6 ft/s.

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The time by which the two cars initially 2.50km apart and moving towards each other meet is 194 seconds.

The two cars are initially 2.50km apart. So the distance between the two cars,d= 2.50km. The speed of car 1 is v₁=7.50 m/sec. The speed of car 2 is v₂=5.40 m/sec. Let t be the time at which the two cars meet. Then at time t, the distance traveled by the two cars will be equal to the distance between them initially.

So, the distance d₁ traveled by car1 is 7.50×t m. The distance d₂ traveled by car 2 is 5.40×t m. Now d₁+d₂=2500, 7.5×t+5.4×t=2500, 12.9×t=2500, t= 2500/12.9, t=193.8 secs. So the time by which the two cars meet is 194 secs.

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Object one and two attract each other it was a gravitational force of 18 unit is the massive object one is 1/3 to the original value in the massive object who is doubled and the distance separating object one and two is doubled then the new gravitational force will be = 2GMm/ (2R²)

Gravitational force is described as the force of attraction between all masses in the universe more especially the attraction of the earth's mass for bodies near its surface.

If one mass say, m is doubled, then force is

F_ = 2GMm/ (R²) = 2f_ The force is doubled

If the distance separating object one and two is doubled then the new gravitational force will be

F_ = 2GMm/ (2R²)

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Based on the formula for work done, the height to which the 67 kg person can climb after eating the Candy bar is 3.07 m.

The energy in Joues present kin the Candy bar is determined by using the conversion factor of calories to Joules.

The conversion factor is: 1 calorie = 4.2 joules

480 calories = 4.2 * 480 joules

480 calories = 2016 Joules

Work done by the 67 kg person is calculated using the formula:

Work done or energy = mgh

where;

m is the mass in kg = 67 kg

g is the acceleration due to gravity = 9.81 m/s²

h is height = ?

Therefore, h = work done/mg

h = 2016 / (9.81 * 67)

h = 3.07 m

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Complete question:

The label on a Candy bar says 480 Calories. Assuming a typical efficiency for energy use by the body, if a 67kg person were to use the energy in this candy bar to climb stairs, how high could she go?

The potential energy that is contained in a 52 kg skier at the top of a 150 m slope is 76,440J.

Potential energy is the energy possessed by an object because of its position (in a gravitational or electric field), or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass).

The potential energy of an object can be calculated by using the following formula:

P.E. = mgh

Where;

P.E = 52 × 9.81 × 150

P.E = 76,440J

Therefore, 76,440J is the potential energy of the skier.

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Torque on an electric dipole is given by the formula, τ = q d e sinθ, where, τ is torque, q is charge, electric field strength e, angle between dipole and electric field.

When we consider a dipole that is placed in a uniform electric field e, to calculate the torque experienced by the dipole when placed in an external field with the dipole’s axis forming an angle θ with the electric field.

F = ± q e

The components of the force perpendicular to the dipole, F = ± q e sin θ

We know, τ = r × F = (q e sin θ) d = q d e sin θ

When the dipole is put in a uniform external electric field, it rotates. Furthermore, its magnitude is the resulting product of force and its arm. The arm may be thought of as the distance between the point where force is applied and the point where rotation occurs for the dipole.

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The pebble's speed at the floor will be 10.63 m/s.

Initial speed is the velocity of an object before any acceleration or deceleration is applied. It can be measured in a number of different units, such as meters per second (m/s), feet per second (fps), or kilometers per hour (km/h). Initial speed is important in physics and engineering, as it is used to calculate the motion of objects and the forces that act on them.

This is because when the pebble is thrown down with an initial speed of 7 m/s, its velocity increases due to the acceleration of gravity. Since the pebble is being released from the same height, the acceleration due to gravity is constant. Therefore, the pebble's final speed at the floor after being thrown down is the sum of its initial speed of 7 m/s and its impact speed of 8 m/s, giving it a final speed of 15 m/s.

Take down as the positive direction, since the pebble is released from rest, v²f = v²i +2aΔy

becomes

v²f = (8m/s)² = 0² +2gh

Next, when the pebble is thrown with the speed 3.0m/s

from the same height h

we have

v²f = (7m/s)² + 2gh = (7m/s)² +( 8m/s)²

vf = 10.63 m/s

Thus, The speed of the pebble at the floor is 5m/s

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The potential difference if 20j of energy are transferred by 8c of charge is 2.5 V.

The potential difference, also known as voltage, is defined as the amount of energy per unit charge that is transferred between two points.

The formula for potential difference is given by:

V = W / Q

where V is the potential difference, W is the amount of energy transferred, and Q is the amount of charge transferred.

Given that 20 J of energy is transferred by 8 C of charge, we can substitute these values into the equation:

V = 20 J / 8 CV

= 2.5 J/CV

= 2.5 V

Therefore, the potential difference is 2.5 V.

It is important to note that the unit of energy is Joules (J) and the unit of charge is Coulombs (C).

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Two important things about carbohydrates are increasing muscle mass and as a source of energy.

Carbohydrates are polyhydroxy aldehyde or polyhydroxy ketone compounds and their derivatives in the form of simple single units or complex units. In plants, glucose is synthesized from carbon dioxide (CO2) and water (H2O) through the process of photosynthesis and stored in the form of starch or cellulose. Carbohydrates have very important functions for the body, including as a source of energy and increasing muscle mass.

Everyone's carbohydrate needs generally vary, depending on age, gender, physical activity, and medical conditions suffered. Therefore, the balance of the amount of intake should always be maintained. Don't get too much or too little.

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The velocity of the body is 16.1 m/s.

The rate of motion and direction of an object are measured by a vector known as velocity. Therefore, we need to understand both the magnitude and direction in order to calculate the velocity according to this definition.

For instance, if an object moves at 5 meters per second (m/s) in the direction of the west, its velocity in that direction will be 5 m/s. The most popular and straightforward method for calculating velocity is given in the formula below.

While m/s (meter per second) is the SI unit for velocity, it can also be expressed in any d/t unit (distance per time). Miles per hour (mph), kilometres per second (km/s), and kilometers per hour are a few of the units that can be used to express velocity (kph).

Therefore, The velocity of the body is 16.1 m/s.

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According to question, the correct matching of oscillations is A - B, B-C, C -B, D-B and E-B .

T = 2 Square root of L/g, where L is the pendulum's length and g is the acceleration brought on by gravity, is the formula for a pendulum's period.

The time it takes a body to make one complete to and from movement is the period of oscillation for that body. (ii) The acceleration of free fall caused by gravity is the rate at which a body's velocity increases over time as a result of the earth's gravitational pull when it is falling under its own weight (alone).

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The correct question is :

Figure Q14.24 represents the motion of a mass on a string. A What is the period of the oscillations?

A 12 S

B 24 S

C 36 S

D 48 S

E 50S

B What is the amplitude of the oscillation?

a 1.0 cm

b 2.5 cm

c. 4.5 cm

D 5.0 cm

E 9.0 Cm

Hey there!

Answer:

6.2 million kilometers (km) converted to light years would be 6.553405171e-7 I believe.

________________________________________________

Hope this helps!

The lowest rock layer is a layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and gas.

The lowest rock layer can be explained as;

The lowest rock layer refers to the lowermost part of the Earth's mantle, which is a thin rock layer (approximately 250 km).

In the Earth, the layers of rocks are progressively deposited, thereby pressing them to the bottom to generate sedimentary rocks.

The lowest rock layers on the bottom must be rich in organic matter to form fossil fuels.

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42 Joules energy is gained by the block. This can be solved by using the concept work done formula.

The product of a force and the distance it is applied across is what is referred to as the work done. An item moves across space when a force is applied to it, which is referred to as doing work. By applying a force across a distance, such as when you lift a burden, you are performing labor.

A force delivered over a distance to an item causes work to be done. Thus, an object's total energy will be impacted when a force is applied to it across a distance.

Given that,

a force of 6.0 Newtons is applied to a block at rest on a horizontal friction less surface over a 7.0 meter span.

The parameters given are:

Distance covered = 7.0 m

The force = 6.0 N

The formula for work done is the product of force and distance. That is,

Work done = force × distance

Where work done is the same as energy.

So, Energy = force × distance

or, Energy = 6.0 N × 7.0 m

or, Energy = 42 Joules.

Therefore, the energy gained by the block is 42 Joules.

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The acceleration at the top point of the ball is zero just because of  it changes direction from upward to downward motion.

The acceleration of an object is the rate of change of its velocity. At the top point of a ball that is thrown or kicked in a parabolic trajectory, the velocity of the ball is momentarily zero as it changes direction from upward to downward motion. However, the acceleration is not zero. The acceleration at the top point is directed downward, towards the ground, and is caused by the force of gravity acting on the ball. Gravity is a constant force acting on all objects with mass, pulling them towards the center of the Earth. When a ball is thrown or kicked in a parabolic trajectory, gravity is the force that opposes the initial upward velocity of the ball, and causes it to fall back to the ground. At the top point of the trajectory, the velocity of the ball is zero, but the force of gravity is still acting on it, which causes an acceleration downwards. It is important to note that the acceleration at the top point of the ball trajectory is not zero but it is not constant either, it changes as the ball moves through its trajectory, it is maximum at the top point, and it decreases as the ball approaches the ground. Also, the trajectory of a thrown or kicked ball is affected by the air resistance, which is a force that opposes the motion of the ball, this force can affect the motion of the ball and the shape of the trajectory, and it can also affect the acceleration at the top point of the trajectory.

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A subatomic particle found in the nucleus of every atom and the particle has a positive electrical charge : proton.

Proton is a subatomic particle found in the nucleus of every atom and the particle has positive electrical charge, equal and opposite to that of electron. If isolated, then a single proton would have mass of only 1.673 * 10^-27 kilogram, just slightly less than mass of a neutron.

A proton is a stable subatomic particle, with symbol p , H⁺, or ¹H⁺ with positive electric charge of +1 e elementary charge. It's mass is slightly less than that of neutron and 1,836 times the mass of electron.

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Answer:In physics, the velocity of an object under constant acceleration can be calculated using the following formula:

v = vₒ + at

where vₒ is the initial velocity (assumed to be zero if the object is starting from rest), a is the acceleration, and t is the time elapsed.

If the acceleration were maintained:

v = vₒ + at

v = 0 + (5 m/s²) * (15 s) = 75 m/s

So, the velocity would be 75 m/s after 15 seconds if the acceleration were maintained.

If the object is starting from rest:

v = vₒ + at

v = 0 + (5 m/s²) * (15 s) = 75 m/s

So, the velocity of an object accelerating at 5.0 m/s² after 15 s, having started from rest, would be 75 m/s.

Explanation:

The the speed of the bullet as per the given information will be 235.8 m/s.

"The angle in radians (degrees, revolutions) through which a point or line has been rotated in a particular sense about a specified axis" is the definition of angular displacement. It is the angle at which a body moves in a circular motion.

First use the angular displacement to find the time.

Δθ = ω t

23.2 x 1/360 = 971 rev/min x 1/60 x t

0.064 = 16.18 x t

t = 0.0039s

Now use the distance to find the speed.

v = Δx / t

v = 0.92/0.0039

v = 235.8 m/s

Thus, the speed is 235.8 m/s.

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The particle moving to the right at maximum speed at 0 s, 4 s, 8 s

When a particle experiences a restoring force proportional to its displacement, it is said to be in simple harmonic motion (SHM), and as a result, the particle's acceleration is directly proportional to its displacement (although in the opposite direction):

α∝-x

Additionally, as illustrated in the figure for the particle in this case, the displacement of a particle in SHM can be characterized by a sinusoidal function.

The graphic shows that a function with the following formula describes the displacement of the particle in this issue.

x(t) = A sin ωt

where

A is the amplitude

ω =  2π/ T, where T is the period, ω is the angular frequency. The particle completes 1 oscillation in 4 seconds, as shown on the graph, therefore

T = 4 s

The angular frequency is hence

ω =  2π/ T

ω =  2π/ 4 =π/2 rad/s

thus,

x(t) = A sin ωt

x(t) = A sin π/2t

As the derivative of displacement can be used to determine a particle's velocity in SHM, the following results are obtained:

v(t) = x'(t)= Aωcos(ωt)= Aπ/2 cos (π/2t)

Consequently, the particle is traveling to the right at its fastest when

cos (π/2t) =+1

(because this is the cosine part's highest possible positive value.) Trying to find t,

(π/2t) =0

t = 0s

There is yet another instance of this when

(π/2t) =2π

t= 4 s

also

(π/2t) =4π

t = 8 s

Therefore, at 2 and 6 seconds, the particle is travelling to the right at its fastest.

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Global warming refers to the warming of the earth due to holes in the ozone layer. The ozone layer protects the earth from harmful ultraviolet rays emitted by the sun. This phenomenon causes our planet to warm and this concept is called global warming leading to climate change.

Global warming refers to an increase in the temperature of the earth, mainly due to an increase in the concentration of greenhouse gases in the atmosphere. “Climate change” refers to gradual changes in climate policy over time, including precipitation, temperature, and wind patterns. The burning of fossil fuels, deforestation, and livestock farming are increasingly impacting the planet's climate and temperatures. This adds enormous amounts of greenhouse gases to those naturally present in the atmosphere, increasing the greenhouse effect and global warming.

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When the poles are brought in close proximity to a suspended magnet in turn, a permanent magnet repels one of the poles.

Explain what a permanent magnet is.

Materials known as permanent magnets are those whose interior structure itself produces the magnetic field. Both the atom's nucleus and its electrons are found inside of atoms and crystals.

A magnet made of an unmagnetized substance would be drawn to both poles. Magnets can push or pull objects without coming into contact with them because magnetism can operate at a distance. On other magnets or magnetic materials, a permanent magnet always exerts a force. The primary characteristics of a permanent magnet are that it generates its own magnetic field. The magnetic field is always present; it cannot be turned on or off.

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Two negatively charged objects are 2 meters apart. the student adds electrons through conduction to one of the objects, then the force of repulsion between the two objects will decrease.

The reason for this is that the negatively charged electrons on the first object will repel the negatively charged electrons on the second object, creating a force of repulsion between them. Adding electrons to one of the objects will increase the number of electrons on that object, resulting in a stronger negative charge. This increase in the negative charge on one object will make it more difficult for the electrons on the other object to push against it, reducing the force of repulsion between the two objects. It's important to note that the amount of decrease in the force of repulsion will depend on the amount of electrons added and the initial charge of the objects. Also, If the distance between the two objects does not change and the charges on the objects are not affected by other factors, the electrostatic force of repulsion between the objects will be inversely proportional to the square of the distance between them.

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Question - Two negatively charged objects are 2 meters apart. The student adds electrons through conduction to one of the objects. What is the force of repulsion between the two objects?

The resistor has a resistance of 47 ohms and a maximum power rating of 0.25 watts.

The power dissipated by a resistor is given by the formula:

P = V²/R

where P is the power in Watts, V is the voltage across the resistor in Volts and R is the resistance in Ohms.

In this question,

The resistor has a resistance of 47 ohms.

The power dissipation of the resistor is given by the equation

          P = V^2/R,

where V is the voltage across the resistor and R is the resistance of the resistor.

The voltage across the resistor is 10 volts,

so the power dissipation of the resistor is (10^2)/47 = 2.128 watts.

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A horizontal line on a velocity-time graph means that the object is at constant velocity.

If an object moves the same distance over the same amount of time at the same intervals of time and does not change the direction in which it is going, then the velocity of the object is said to be constant.

When plotted on a velocity-time graph, a horizontal line indicates that the object's velocity is staying the same over time, whereas a line that slopes upward indicates that the object's velocity is increasing over time. The acceleration of the item has a gradient that is equal to the gradient of the line.

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