A bicycle has a constant velocity of 10 m/s. a person starts from rest and runs to catch up to the bicycle in 30 s. what is the acceleration of the person?

The refractive index, n of glass is 1.53.

The critical angle of a refracting medium such as glass is the angle at  no refracted ray is obtained for light passing through the medium between the boundary or interface of the medium and a less dense medium, rather an emergent ray which is per perpendicular to the normal is obtained.

Beyond the critical angle, total internal reflection occurs.

The refractive index of a medium is the ration of the velocity of light in the less dense medium to that in a denser medium.

Given that the critical angle of a medium is C;

Refractive index, n of the medium = 1/ sin C

The critical angle from glass to air is 40.5°

The refractive index of glass = 1/sin 40.5°

Refractive index, n of glass = 1.53

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According to potential energy, the energy released is 78.4 kJ.

We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as

PE = m . g . h

where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.

From the question above, we know that

m = 80 kg

h = 100 m

By substituting the given parameters, we can calculate the height

PE = m . g . h

PE = 80 . 9.8 . 100

PE = 78400 joules

PE = 78.4 kJ

Hence, the energy released is 78.4 kJ.

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A measurement must have units to be meaningful.

Scientific measurements are generally based on the International System of Units. It is important to always include units when recording data, calculating, and reporting results. Units are globally recognized and necessary for the exchange of information among scientists around the world.

A conversion factor is a factor used to convert from one unit of measurement to another. Simple conversion factors can convert meters to centimeters, while more complex conversion factors can convert miles per hour to meters per second. The International System of Units commonly abbreviated as SI from the French Le Système International d'Unités is the modern metric system. SI was founded in 1960 by the 11th General Assembly of Weights and Measures.

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Answer:

Average kinetic energy per molecule in a substance

Explanation:

An incandescent light bulb has a power rating of 40 w when connected to a wall outlet of voltage 120 v. the resistance of the filament in the light bulb is 360 ohms.

The relation between power, voltage and current is :

                                   P =VI ...(i)

According to Ohm's law:

                                  I =V/R

Substituting the value of I in power relation

                                  P = [tex]V^{2}[/tex]/R

Since we have to find the resistance

                               R = [tex]V^{2}[/tex]/P ...(ii)

Given:

V = 120 V

P = 40 w

Putting the values in eq (ii).

R = [tex]120^{2}[/tex]/40

R = 360 Ω

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The number of significant figures in the product is 2.7537 x 10¹.

The term significant figures refers to the number of important single digits  in the coefficient of an expression in scientific notation.

(3.52 x 10^-11) x (7.823 x 10^11)

= (3.52 x 7.823) x (10⁻¹¹ ⁺ ¹¹)

= 27.53696 x 10⁰

= 27.53696

= 2.7537 x 10¹

Thus, the number of significant figures in the product is 2.7537 x 10¹.

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A light-rail commuter train accelerates at a rate of 1.40 m/s2, it take 15.17s to reach its top speed of 76.5 km/h, starting from rest.

When describing the motion of the objects in terms of distance, time, and direction, physicists use the basic quantities of speed and velocity. Two terms and two distinct meanings. Yet, not uncommonly, we hear these terms used in interchangeably. So, what is the difference? Why is it incorrect to use terms speed and velocity interchangeably?

The reason is very simple. Speed is time rate at which an object is moving along a path, while velocity is the rate and direction of an object’s movement. Put another way, the speed is a scalar value, while velocity is a vector.

The mathematical calculation for speed is relatively straightforward, wherein the average speed of an object is calculated by dividing the distance traveled by the time it took the object to travel distance. Velocity, on the other hand, is more complicated mathematically and can be calculated in different ways, depending on what information is available about object’s motion. In its simplest form, average velocity is calculated by dividing change in position (Δr) by change in the time (Δt).

The formula to find the acceleration is:

[tex]a=\frac{v-u}{t}\\ t=\frac{v-u}{a}\\\\ =\frac{21.25-0}{1.40} \\\\ =15.17[/tex]

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Answer:

115.88 m

Explanation:

The complete distance around the field (perimeter) is equal to the whole sum of the 4 sides:

Imagine you stroll trough the border of the field, you go 38.44m to the right, 19.5m up, 38.55m to the left, 19.5m down.

Answer:

0.003 meters

Explanation:

[tex]d=3mm(\frac{1m}{1000mm} )=\frac{(3)(1)}{1000} =\frac{3}{1000} =0.003m[/tex]

Hope this helps

Answer:

3× 10^ {-3}m  

Explanation:

3mm=0.003m

0.003= 3× 10^ {-3}

Answer:

b. A vector may have either magnitude or direction.

Explanation:

Give me Brainliest if that helped! :)

-4m/s^2 the velocity of a ball that rolled to the right 20 cm in 3 seconds

Vi = 20m/s

Vf = 0

t = (t2 - t1) = 8s -3s = 5s

Vf - Vi = a*5s

a = (0- 20m/s)/5s = -4m/s^2

Velocity is a measure of speed in motion or activity. A more concise word for celerity is speed. Physics uses the word "velocity" specifically to describe how quickly and in what direction an object's location changes. It is a vector quantity that expresses the speed and direction of a body's motion.

Velocity is the term for the rate at which a displacement changes. Acceleration is the measure of a change in velocity. Velocity is a vector quantity because it comprises both magnitude and direction. Acceleration is a vector quantity because it is the speed at which velocity varies.

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Answer:

Doesn't matter how fast it was going, all that matters now is that little ducky went splat and he is living no more

Explanation:

There is not enough information

There is no ground.

There is no ducky.

And it is not moving.

For horizontally-launched projectiles, the acceleration is constant in both directions; option B.

Projectiles are objects which are launched into space and allowed to fall freely under the effect of gravity.

The motion of projectiles is known as projectile motion.

The path of a projectile motion is a parabola.

When an object or a ball is launched into the air, it moves with a constant downward acceleration.

The direction of acceleration due to gravitational force of the earth is constant in both directions.

Therefore, since the acceleration in the x-axis is zero and acceleration in the y-axis is -s -9.8 m/², the acceleration is constant in both directions.

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   The electrical charge of the metal sphere is ∈ = 2.78×10⁻⁷C  

   The value of the load or strength of the paint droplet is ∈ = 2×10⁻¹⁰ C

   Forces are the definition of Newton's second law, which is stated under the relation:

∑ Force = mass × acceleration.

  In other words, force is the origin of motion since it generates acceleration in a system.

Completamos el enunciado:

"An electrostatic paint sprayer has a 0.200-m-diameter metal sphere at a potential of 25.0 kV that repels paint droplets onto a grounded object. (a) What charge is on the sphere? (b) What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s?"

We must determine the charge on the sphere initially.

a)  We determine the radius of the sphere:

r = 0.2m/2

∈ = rV/k

∈ = (0.1m)(25000V) / (9×10⁹Nm²/C²)

∈ = 2.78×10⁻⁷C

b)     If the mass of the paint drop is 0.1mg, and it moves with a velocity of 10m/s, we determine the kinetic energy.

Ke = mV²/2

Ke = 0.1×10⁻⁶kg (10m/s)² / 2

Ke = 5×10⁻⁶J = ΔE

∈ = ΔE/ ΔV

∈ =5×10⁻⁶J / 25000V

∈ = 2×10⁻¹⁰ C

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Light travels at the exact speed of 299,792,458 meters (983,571,056 feet) per second in a vacuum.

The light passes through a 2.0-mm-thick section of window glass

= 1 × [tex]10^{-14}[/tex]    sec

Speed is defined as the rate at which an object's position changes in any direction. Speed is calculated as the ratio of distance traveled to time spent traveling. Speed is a scalar quantity because it has a direction but no magnitude. The SI unit of speed is milliseconds per second.

There are several types of speeds:

Speed is the street name for amphetamine sulphate, but it can also refer to other amphetamines. It's usually an off-white or pinkish powder that resembles crystals. It is also available in the form of a paste, which is usually white/grey or brown in color and can be damp and gritty.

Hence,

A thick piece of window glass = 2 mm

speed of light in medium = speed of light in vacuum / refractive index

      = (3×[tex]10^{8}[/tex])/1.5  

       = 2 ×[tex]10^{8}[/tex] m/s                                           

Time = distance / speed  

      = (2 × [tex]10^{-3}[/tex] )/(2 × [tex]10^{-11}[/tex])

      = 1 × [tex]10^{-14}[/tex]    sec

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Answer:

aowbe9 wieveiq diqbedi diwbe

Explanation:

01837192

The speed of 2193 mph expressed in km/h is: 3530.73 km/h

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

By converting the velocity units from  (miles/h) to (km/h) we have:

v = 2193 miles/h * 1.61 km/1 mile

v = 3530.73 km/h

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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When Earth gets closer to a slow-moving outer planet and surpasses it in its orbit, that outer planet shows retrograde motion, similar to how a quicker runner goes past a slow runner in the outside lane.

The orbital movement of a spatial entity in the opposite direction of what is usual in a specific system is known as retrograde motion. The term "retrograde" is based on the Latin terms retro, which means "backward," and gradus, which means "step." As observed from Polaris, all main planets in the Solar System circle the Sun counterclockwise.

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With the use of motion under the gravity formula, It will take 2.45 seconds for the ball to hit the ground.

Linear motion involves the movement of a body in a straight line. It can be horizontal motion or vertical motion which is also known as motion under gravity.

Given that a ball is dropped from the top of a tall building of height h = 29.47 m. To know how long it take the ball to hit the ground if acceleration due to gravity is to be 9.81m/s² and we neglect air resistance, we will make use of the formula below

h = ut + 1/2gt²

Since the ball is dropped from the top of a tall building, u = 0

29.47 = 1/2 × 9.81 × t²

29.47 = 4.905t²

t² = 29.47 / 4.905

t² = 6.008

t = √6.008

t = 2.45 s

Therefore, it take 2.45 seconds for the ball to hit the ground.

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They are 1 meter apart.

The definition of force in physics is that it is a push or pull on a massed object that helps change its velocity.

An external force is a kind of agent that has the power to alter any type of resting or moving condition of a body. It has got its own direction and a magnitude.

One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

All objects, living and non-living, have the ability to exert a force on or against another item, as well as have their actions affected by forces.

The newton, abbreviated N, is the SI unit of force. The meter and unit are the foundation units that pertain to force.

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A large iron skillet may hold more heat capacity than a small one because of its larger mass. Both skillet have the same specific heat because they are constructed of the same material.

A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature. J/K is the metric unit for heat capacity.

An extensive property is heat capacity.The heat is related to the substance's mass and the temperature change since the transferred heat is equivalent to the change in internal energy.

An object's mass and chemical makeup both affect its ability to hold heat. Therefore, a large iron skillet may hold more heat capacity than a small one because of its larger mass. Both skillet have the same specific heat because they are constructed of the same material.

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Answer: 16 meters; -4 meters

Explanation:

For this question, you can ignore the times that were given to you.

a.) Let's start with distance. Distance is a total sum, regardless of direction. This student walked 6 meters, stands still (0 meters), 3 meters, and 7 meters. Sum up these values: 6+0+3+7 = 16 meters

b.) Displacement adds direction. The student walks 6 meters away. We will give this the +x-direction. They then walk 3 meters back towards the origin (-x-direction) and pause for a second. They continue to walk 7 more meters toward the origin (-x-direction). This time when we sum these values we must include the signs: 6+(-3)+(-7) = -4 meters. We can test this by referring to the sentence where it says they passed their starting point. This means they are now in the -x-direction and we have a negative displacement.

Hope this helps!

The s sublevel can only hold two electrons because it has one orbital. The p sublevel has three orbitals and a maximum capacity of six electrons.

The d sublevel may hold a maximum of 10 electrons due to its five orbitals. Additionally, the 4 sublevel has 7 orbitals and a maximum of 14 electrons.

The third energy level has nine orbitals.

N is the number of orbits, while n2 is the number of orbitals (s).

How many orbitals can each set of quantum numbers identify at their greatest capacity?

As a result, the provided quantum number can only identify a maximum of one orbital, or 3pz.

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Answer:

gas thermometer is more sensitive

In free fall, the fact that in the acceleration value (10 m/s^2) the unit of the second appears twice indicates that the object is moving at a rate of 10 meters per second every second.

The acceleration is the physical quantity that indicates the variation of velocity as a function of time,  and it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.

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Answer:

4 Meters per second

Explanation:

This is assuming that the object is tossed straight up and without an angle since your question did not provide one

According to usual sign convention, thermal expansion creates a negative strain. TRUE

The propensity of matter to vary in volume in response to temperature changes is known as thermal expansion. A substance’s particles move more when it is heated, maintaining a greater average separation. Thermosets experience linear thermal expansion since they are employed in solid form.

The term “thermal expansion” refers to an object’s propensity to change its dimensions as a result of heat, including length, density, area, and volume. The substance’s kinetic energy increases when it is heated.

There are three forms of thermal expansion:

Linear growth.

Area enlargement

Volume increase

When an object’s temperature rises, it expands or grows in size, a process known as thermal expansion. Thermal expansion takes place

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The rockets average acceleration during these first 5 minutes is 33.33 m/s².

The average acceleration of an object refers to the rate at which the velocity changes with time of motion of the object.

a = Δv/Δt

where;

The given parameters include;

v = 10 km/s = 10 km/s x 1000 m/1km = 10,000 m/s

t = 5 minutes = 5 x 60 s = 300 seconds

a = 10,000 / 300

a = 33.33 m/s²

Thus, the rockets average acceleration during these first 5 minutes is 33.33 m/s².

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With the help of the mathematical concept of Functions in physics, the number of days for population to reach 800 will be approximately 69 days.

Functions in physics is a mathematical concept used to represent different types of physical quantities in nature. Some types of functions are- linear, quadratic, cubic, exponential and reciprocal functions. A functions relates a set of inputs with another set of desired outputs. Functions are essential for formulating physical relationships in theoretical and practical sciences. For example, functions can be widely used in the representation of electric and magnetic fields in space and time, they are used in quantum mechanics, it is very widely used in determining the position and motion of an object in space. We perform a variety of mathematical operations on functions to make some conclusions and to answer some typical questions related to a physical system.

Here in this question, we have a function which represents a certain population of insect, the function is given by,

[tex]P(t)=200e^0^.^0^2^t[/tex]

where [tex]t[/tex] represents the number of days.

We have to find the total time in days for the population to reach 800 insects, that means,

[tex]P(t)=800[/tex]

Hence,

[tex]200e^0^.^0^2^t=800[/tex]

[tex]e^0^.^0^2^t=\frac{800}{400}[/tex]

[tex]e^0^.^0^2^t=4[/tex]

Taking natural log both sides

[tex]ln e^0^.^0^2^t=ln 4\\[/tex]

[tex]0.02t=ln4[/tex]

[tex]t=\frac{ln4}{0.02}[/tex]

[tex]t=69.3\\[/tex]

[tex]t=69[/tex] days (appproximately)

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57.0 is the calculated value.

Any pair of non-zero digits separated by a zero is significant. The number 108.0097, for instance, includes seven significant digits. Every zero that is both to the right and left of a digit that is not zero and the decimal point has no significance. The number 0.00798, for instance, contained three significant digits. To calculate how many significant figures are in a number, use the three guidelines below: non-zero digits are always significant. Notable zeros fall inside the range of two significant digits. The importance of a final zero or subsequent zeros only applies to the decimal section.

Since there are only three significant figures in the operation, that would be the number to use: 8.00

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