A jeweler is determining the optical properties of an unknown blue gemstone. She uses an angle of incidence of 62°, and measures an angle of refraction of 30°. Assuming the index of refraction of air is 1.0, what is the index of refraction of the gem?

Given

Procedure

Dimensions of v are L/T

The answer would be:

The letter a is multiplying to one dimension in time, so it must be a value of distance over two of time. LT^(-2)

The letter b is in the numerator so it must be a distance dimension. L

The letter c is being operated as a subtraction in the denominator so it must be time T

The total weight of the riders lifted into air is determined as 10,290 N.

The total weight of the riders lifted into air is calculated by applying the following kinematic equation as shown below.

Mathematically, the total weight of the riders is calculated as follows;

W = Nmg

where;

W = ( 15 ) ( 70 kg ) ( 9.8 m/s² )

W = 10,290 N

Thus, the total weight lifted by the rider is a function of the individual mass of the riders.

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Answer:

His third law states that for every action or force in nature there is an equal and opposite reaction.

Explanation:

The heavier the books get, the harder it is for Molly to exert enough force to move the cart.

I hope this helps!!!!!!   Please mark me brainliest!!

a ) The slowest and fastest object are object 2 and object 1 respectively

b ) In a vacuum chamber all objects will fall at the same time

c ) In normal conditions, a golf ball would land first.

a ) From the data taken from the table,

Object 1 lands after 1.1 s

Object 2 lands after 1.8 s

Object 3 lands after 1.3 s

Object 4 lands after 1.1 s

Eventhough object 1 and 4 land at same time, at 1 s mark object 4 has more height than object 1. So object 1 would land first

b ) If conducted in a vacuum chamber, there will be no air resistance,. So all the objects will fall at the same time.

c ) In normal conditions, there will be air resistance. So air resistance will be larger in the object with larger surface area. Feather has a larger surface area than a golf ball. So feather will fall slower than the golf ball.

Therefore,

a ) The slowest and fastest object are object 2 and object 1 respectively

b ) In a vacuum chamber all objects will fall at the same time

c ) In normal conditions, a golf ball would land first.

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Answer: it's 69200

Explanation:

I gotchu guys

Answer:

90 N

Explanation:

m = 60 kg

a = 1.5 m/s^2

F = m × a = 1.5 × 60 = 90 N

Answer:

THIS IS SUPER EASY!!!!!!

BOLD = ANSWER

Explanation:

REMEMBER: force = mass x acceleration

4. 6.0kg x 4.0m/s2 = 24N

5. 7.5kg x 8.3m/s2 = 62.25N

6. 2,000kg x 8.3m/s2 = 16,000N

REMEMBER: mass = force / acceleration

7. 6.0N / 3.0m/s2 = 2kg

8. 6.0N / 12.0m/s2 = 0.5kg

9. 20.0N / 5.0m/s2 = 4kg

10. 20.0N / 2.0m/s2 = 10kg

11. 4.0N / 7.3m/s2 = 0.55kg

12. 4.6N / 16.3 m/s2 = 0.28kg

I hope this helps u! :D

The zeroth law of thermodynamics states that two systems in thermal equilibrium with a third system are in thermal equilibrium with each other. The correct option is (c).

The zeroth law of thermodynamics states that two systems in thermal equilibrium with a third system are in thermal equilibrium with each other). This means that if two objects are each in thermal equilibrium with a third object, they are also in thermal equilibrium with each other, even if they are not in direct contact with each other. This is a fundamental principle of thermodynamics and allows for the definition of temperature and the measurement of thermal energy transfer.
                                                  The zeroth law is essential for defining temperature as a measurable quantity. When systems A and B are in thermal equilibrium with a third system C, it means that there is no net flow of heat between A and C, and B and C. As a result, systems A and B are also in thermal equilibrium with each other, indicating that they have the same temperature.

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The spring-like property that returns a muscle to its original length after a contraction ends is known as muscle elasticity. When a muscle contracts, it generates force and shortens in length. This contraction is achieved by the sliding of actin and myosin filaments within the muscle fibers.

However, once the contraction is over and the force is no longer applied, the muscle has the remarkable ability to return to its original length.

Muscle elasticity is attributed to two main factors: the structural arrangement of proteins within the muscle fibers and the connective tissue surrounding the muscle.

The proteins act as molecular springs that can be stretched and then recoil back to their original position when the force is released. This property allows the muscle to efficiently generate and transmit forces during movement.

Additionally, the connective tissue, such as tendons and fascia, surrounding the muscle acts as a supportive framework. It stores and releases energy during muscle contractions, assisting in the recoil and restoration of the muscle's original length.

Overall, muscle elasticity is essential for the proper functioning of our musculoskeletal system, allowing us to move efficiently and smoothly while maintaining the integrity of our muscles.

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The relative density of the substance is equal to the density of the substance concerning the density of the reference substance.

The relative density of the substance is known as the specific gravity.

Hence, option B is the correct answer.

The total energy density of an electromagnetic wave is given by the equation:

u = ε0 E^2 / 2 + B^2 / (2μ0)

where u is the energy density, ε0 is the electric constant (permittivity of free space), E is the electric field strength, B is the magnetic field strength, and μ0 is the magnetic constant (permeability of free space).

If the value of the electric field in an electromagnetic wave were doubled, then the total energy density of the wave would increase by a factor of four. This is because the electric field strength term appears squared in the equation for energy density. Doubling the electric field strength would cause the energy density to increase by a factor of 2^2 = 4.To see this more clearly, we can rewrite the equation for energy density in terms of the electric field strength alone:

u = ε0 E^2 / 2 + (μ0/ε0) (E^2 / 2)

where the second term on the right-hand side represents the contribution to the energy density from the magnetic field strength (which is proportional to the electric field strength in an electromagnetic wave). If we double the electric field strength (E), then the energy density becomes:

u' = ε0 (2E)^2 / 2 + (μ0/ε0) [(2E)^2 / 2]

Simplifying this expression, we get:

u' = 4ε0 E^2 / 2 + (μ0/ε0) (4E^2 / 2)

u' = 2ε0 E^2 + 2μ0 E^2

u' = 2(E^2 / ε0)

This expression shows that doubling the electric field strength causes the energy density to increase by a factor of 2^2 = 4, as claimed above.

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Answer:

The argument make the assumption that;

(A) The exploration of Mars will be carried out by people travelling in spacecraft and not by robots alone

Explanation:

The argument is made for the importance of a space station where astronauts live for an appreciable time to aid in the understanding of human capacities for living in the space so as to increase the successful space travel human to Mars, which is a distance further than the Moon and therefore, will require sufficient time travel

Answer:

B) Walker 2 was at rest for the first five seconds. D) Walker 2 moved faster overall than walker 1 by the end. E) Both walkers had reached the same distance at fifteen seconds.

Explanation:

I did the UsaTestPrep

Fast moving rivers of air, known as jet streams, can reach speeds of 75 to 150 miles per hour (mph).

Jet streams are narrow bands of strong winds that flow in the upper levels of the atmosphere, typically between 25,000 and 35,000 feet above the Earth's surface.

These high-speed air currents are driven by the temperature and pressure gradients in the atmosphere, particularly between warm and cold air masses.

The jet streams flow in a wavy pattern from west to east, influenced by the rotation of the Earth and atmospheric conditions. They can extend thousands of miles in length and a few hundred miles in width.

Jet streams play a crucial role in weather patterns, affecting the movement of storms and the distribution of temperature and precipitation.

Aviation and weather forecasting heavily rely on understanding and monitoring the jet streams. Their high speeds can benefit air travel by reducing flight times for planes flying with the jet stream and increase fuel efficiency.

However, flying against the jet stream can result in longer flight durations and higher fuel consumption.

In summary, jet streams are fast-moving rivers of air with speeds ranging from 75 to 150 mph. They are important atmospheric phenomena that impact weather patterns and have implications for aviation and weather forecasting.

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Answer:

Joules

Explanation:

The unit for Energy is Joules, which is equal to kg m²/s².

The gravitational potential energy is calculated as:

Where m is mass (kg), g is gravity (m/s²) and h is the height (m). So, the unit of the potential energy is:

Therefore, the answer is joules.

Answer:  

C. Software Engineer

Answer:

Acceleration

Explanation:

We know that Force = Mass * Acceleration according to the formula.

Divide both sides by “Mass” which leaves us with Force/Mass = Acceleration, in word, it’s ratio of force and mass equals acceleration.

Answer:B

Explanation:They help you evaluate yourself for your final grade.

a dont make sense, d dont make sense, B or C. B!

The force on an electron due to a magnetic field can be calculated using the formula F = qvB, where F is the force, q is the charge of the electron, v is the velocity of the electron, and B is the magnitude of the magnetic field.

Given:

Charge of the electron (q) = 1.60218 x 10^-19 C

Mass of the electron (m) = 9.10939 x 10^-31 kg

Magnitude of the magnetic field (B) = 0.259 T

To find the force on the electron, we need to determine the velocity of the electron after it has been accelerated across the potential difference.

The potential difference (V) is given as 82300 V, which can be used to calculate the final kinetic energy of the electron using the equation:

qV = (1/2)mv^2

Solving for v, we have:

v = sqrt((2qV)/m)

Substituting the given values, we find:

v = sqrt((2 * 1.60218 x 10^-19 C * 82300 V) / (9.10939 x 10^-31 kg))

v ≈ 5.47 x 10^6 m/s

Now, we can calculate the force on the electron due to the magnetic field:

F = qvB

Substituting the values, we get:

F = (1.60218 x 10^-19 C) * (5.47 x 10^6 m/s) * (0.259 T)

F ≈ 2.244 x 10^-15 N

Therefore, the force on the electron due to the magnetic field is approximately 2.244 x 10^-15 N.

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Answer: 9 Joules

Explanation:

Kinetic enegry is one half the mass multiplied by the velocity squared

KE = 1/2mv^2

\(KE=1/2(2)(3^2)\\KE=3^2\\KE=9J\)

The kinetic energy of the body is 9J

Kinetic energy is the energy possessed by a body due to its motion.

It is claculated by formula,

K.E = \(\frac{1}{2}mv^{2}\)

Here,

The mass of the body = 2.0kg

speed = 3.0m/s

So kinetic energy K.E = \(\frac{1}{2}mv^{2}\)

K.E = \(\frac{1}{2} (2)3^{2}\) = 9J

So the kinetic energy of the body is 9J

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Answer:

A) 30h

B) Scalar quantity

Explanation:

Part A

[Note: v represents speed, d represents distance, and t represents time]

Given:

\(d = 600 km\)

\(v = 20 km/h\)

Required:

\(t = ?\)

Analysis:

\(v = \frac{d}{t} \\t = \frac{d}{v}\)

Solution:

\(t = \frac{d}{v} \\t = \frac{600 km}{20 km/h} \\t = 30 h\)

Statement:

Therefore, the ship was sailing for 30 hours.

--------------------------------------------------------------------------------------------------------------

Part B

This is a scalar quantity because time only has magnitude and can never be given direction so it can never be a vector quantity.

In workplaces with continuous noise, such as mines, the use of protective gear like ear muffs is encouraged to reduce the amount of noise entering workers' ears. This not only protects their hearing but also helps decrease compensation costs associated with hearing-related injuries.

However, it is important to recognize that these protective gears have limitations. Over time and with extensive use, they can become damaged and less effective at reducing noise exposure. Despite the importance of wearing protective gear, some workers may choose to remove their ear muffs due to discomfort or the desire to hear their colleagues more clearly. This poses a challenge as it increases their risk of being exposed to excessive noise levels, which can lead to hearing damage or loss.

To address this issue, employers should focus on providing comfortable and properly fitting protective gear that minimizes discomfort. Additionally, regular training and awareness programs can emphasize the importance of consistent use of protective gear and educate workers about the potential long-term consequences of noise exposure. Encouraging an open dialogue between workers and management can also help address any concerns or misconceptions related to the use of protective gear.

Ultimately, striking a balance between comfort and safety is crucial. Employers should strive to provide effective and comfortable protective gear, while workers need to understand the importance of consistent usage to safeguard their hearing health in noisy work environments.

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Answer:

Volume

Explanation:

Answer:

The time taken is 555.56 s.

Explanation:

The average velocity is the ratio of the net velocity to the time required to achieve net velocity.

The formula of average velocity is,

v(av)=d/t

Given d=5.0 km which is 5*1000 m=5000 m and v(av)=9.0 m/s.

Therefore 9=5000/t

                 t=5000/9

                 t=555.56

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The car travels approximately 137.832 meters during the 5.2 seconds of acceleration.

To calculate the distance traveled by the car during the given time, we can use the equation:

d = v_i × t + (1/2) × a × t²

where:

Given:

Plugging in the values into the equation:

d = (25 m/s) × (5.2 s) + (1/2) × (0.58 m/s²) × (5.2 s)²

Simplifying the equation:

d = 130 m + 0.5 × 0.58 m/s² × 27.04 s²

d = 130 m + 7.832 m

d ≈ 137.832 m

Therefore, the car travels approximately 137.832 meters during the 5.2 seconds of acceleration.

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Answer:

Given

mass (m) =5kg

velocity (v) =6m/s

momentum (p) =?

Form

p=mv

5kgx6m/s

p=30kg.m/s

momentum =30kg.m/s

The pivot should be placed 1.31 m from the left end of the board to balance the seesaw when you sit on the left end and your friend sits on the right end, taking into account the mass of the board.

T1 = 90 kg * g * (x - 1.5 m)

T2 = 60 kg * g * (1.5 m - x).

T3 = Mg * (L/2 - x)

In the equilibrium position, we set the sum of the torques equal to zero:

T1 + T2 + T3 = 0

90 kg * g * (x - 1.5 m) + 60 kg * g * (1.5 m - x) + Mg * (L/2 - x) = 0

Simplifying and solving for x, we get:

x = (45 kg * L + 1.5 m * (90 kg - 60 kg)) / (M + 150 kg)

Substituting the values given in the problem, with M = 29 kg, we get:

x = (45 kg * 3.0 m + 1.5 m * 30 kg) / (29 kg + 150 kg)

x = 1.31 m

Torque is a measure of the force that causes an object to rotate around an axis or pivot point. It is often described as the rotational equivalent of force. The amount of torque an object experiences is dependent on both the magnitude and direction of the applied force, as well as the distance between the axis of rotation and the point where the force is applied.

The formula for torque is τ = r × F, where τ is the torque, r is the distance between the axis of rotation and the point of force application, and F is the magnitude of the applied force. Torque is typically measured in units of Newton meters (Nm) or pound-feet (lb-ft). Torque is an important concept in many areas of physics, including mechanics, engineering, and robotics. It plays a critical role in the operation of machines and engines, as well as in the movement and control of vehicles and aircraft.

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Answer: Use the x/t = v formula!!! x is distance, t is time, and v is velocity. you just need to do 40 / 5 = 8 and 100 / 15 = 6.66

In conclusion, the distance from the horizontal top surface of the cube to the water level can be found by calculating the volume of water displaced by the cube and dividing it by the surface area of the top face.

The distance from the horizontal top surface of the cube to the water level can be determined by comparing the density of the cube to the density of water. Since the cube is floating, its density is equal to the density of water.
To find the distance, we can start by calculating the mass of the cube. The formula to calculate mass is density multiplied by volume. Since the density is given as 650 kg/m3 and the volume of the cube is (20 cm)3, we can convert the volume to cubic meters by dividing by 1,000,000.
Next, we can use the weight of the cube, which is equal to the mass multiplied by the acceleration due to gravity (9.8 m/s2), to find the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the cube, and it acts in the upward direction.
Finally, we can equate the weight of the cube to the buoyant force to find the volume of water displaced. Dividing this volume by the surface area of the cube's top face will give us the height of the cube submerged in water.
In conclusion, the distance from the horizontal top surface of the cube to the water level can be found by calculating the volume of water displaced by the cube and dividing it by the surface area of the top face.

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