the difference between how lenses and mirrors interact with light

Answer:

independent variable is found on the x axis while dependent variable is found on the y axis

(a) Walking 73.2 m at 1.22 m/s would take

\(\dfrac{73.2\,\rm m}{1.22 \frac{\rm m}{\rm s}} = 60 \,\rm s\)

and running 13.2 m at 3.02 m/s would take

\(\dfrac{13.2\,\rm m}{3.02\frac{\rm m}{\rm s}} \approx 4.37\,\rm s\)

You've undergone a total displacement of 73.2 + 13.2 = 86.4 m in a matter of approximatly 64.37 s, so your average velocity is

\(\dfrac{\Delta x}{\Delta t} = \dfrac{86.4\,\mathrm m}{64.37\,\rm s} \approx \boxed{1.34\dfrac{\rm m}{\rm s}}\)

(b) In the first 1.00 min = 60 s, you undergo a displacement of

\((60\,\mathrm s) \left(1.22 \dfrac{\rm m}{\rm s}\right) = 73.2 \,\rm m\)

and in the second minute, you undergo a displacement of

\((60\,\mathrm s) \left(3.05\dfrac{\rm m}{\rm s}\right) = 183 \,\rm m\)

Your total displacement is then 73.2 + 183 = 256.2 m in a matter of 2.00 min = 120 s, so your average velocity is

\(\dfrac{\Delta x}{\Delta t} = \dfrac{256.2\,\mathrm m}{120\,\rm s} \approx \boxed{2.14\dfrac{\rm m}{\rm s}}\)

(c) For part (a), your displacement \(x(t)\) (in m) at time \(t\) (in s) is given by

\(x(t) = \begin{cases}1.22t & \text{for } 0 \le t \le 60 \\ 73.2 + 3.02 (t-60) & \text{for } t > 60\end{cases}\)

and for part (b), your displacement is given by the very similar

\(x(t) = \begin{cases}1.22 t & \text{for } 0 \le t \le 60 \\ 73.2 + 3.05(t-60) & \text{for } t > 60 \end{cases}\)

See the attached plots. The average velocity for the given situation is the slope of the dotted line.

Answer:

stopping potential is the negative potential applied to the circuit to stop the moving electrons so as to stop the flow of current

for high current high negative potential is applied

Answer: *a molecule.

Explanation: A molecule is the combination of two or more atoms

Answer:

Below

Explanation:

s = Distance

v = Velocity ( speed)

t = time

\(s = vt\)

Divide both sides of the equation by t

\( \frac{s}{t} = \frac{vt}{t} \\ \frac{s}{t} = v\)

(a) The speed of the block just come to rest is 5.8 m/s. (b) Speed of the block just after it comes off the spring 2.60 m/s.

To solve this problem, we can use the conservation of mechanical energy principle, which states that the initial mechanical energy of the system is equal to the final mechanical energy of the system, assuming no non-conservative forces act on the system. Before the block comes to rest, its potential energy (due to its height on the ramp) is converted to kinetic energy (due to its motion down the ramp). After the block comes to rest, the spring stores potential energy, which is then converted back to kinetic energy as the spring pushes the block back up the ramp.

a) To find the speed of the block just before it comes to rest, we can use the conservation of mechanical energy:

Initial mechanical energy = Final mechanical energy

mgh = (1/2)mv²

where m is the mass of the block, g is the acceleration due to gravity, h is the height of the block on the ramp, and v is the speed of the block just before it comes to rest.

The height of the block on the ramp can be found using trigonometry:

h = L*sin(θ)

where L is the length of the ramp and θ is the angle of the ramp with respect to the horizontal.

Substituting the given values into the equation, we get:

mgh = (1/2)mv²

(5.6 kg)(9.81 m/s²)(L sin(27°)) = (1/2)(5.6 kg)*v²

Solving for v, we get:

v = √(2gLsin(θ))

v = √(29.81 m/s²* L*sin(27°))

v = 5.38 m/s

Therefore, the speed of the block just before it comes to rest is approximately 5.38 m/s.

b) To find the speed of the block just after it comes off the spring, we can use the conservation of mechanical energy again:

Initial mechanical energy = Final mechanical energy

(1/2)mv² = (1/2)kx²

where k is the spring constant and x is the distance the spring is compressed when the block is pushed back up the ramp.

The distance x can be found using the conservation of mechanical energy and the fact that the potential energy stored in the spring is equal to (1/2)kx²:

Initial mechanical energy = Final mechanical energy

mgh = (1/2)kx²

Substituting the given values into the equation, we get:

x = √(2mgh/k)

x = √(25.6 kg 9.81 m/s² L*sin(27°)/495 N/m)

x = 0.382 m

Now we can substitute the values of v and x into the equation for final mechanical energy:

(1/2)mv² = (1/2)kx²

Solving for v, we get:

v = √((k/m)x²)

v = √((495 N/m)/(5.6 kg))(0.382 m)

v = 2.60 m/s

Therefore, the speed of the block just after it comes off the spring is approximately 2.60 m/s.

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Answer:

one of the mjor effects of heat transfer is temperature change

Explanation:

simple answer

The total distance covered is 24 Km and Peter was not moving between the points marked 10 mins and 30 mins on the graph. His displacement according to the graph is zero.

The distance time graph shows the distance covered plotted on the vertical axis against the time taken plotted on the horizontal axis. Using this graph, the total distance covered can easily be obtained.

The total distance covered is 12 km + 12 km since equal distance was covered to and fro. Hence the total distance covered is 24 km. Perter was not moving between the points marked 10 mins and 30 mins on the graph.

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Answer:

Explanation:

A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:

Output force = Weight of object = m * g

where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:

Output force = 15 kg * 9.81 m/s^2 = 147.15 N

Therefore, the output force required to lift a 15 kg object would be 147.15 N.

B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.

C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:

Mechanical advantage = Output force / Input force = 40 N / 10 N = 4

So, the ramp multiplies your force by a factor of 4.

Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.

Hypothesis, If the mass of the cylinder increases, then the temperature of the water will also increase because an increase in mass leads to greater potential energy, which is converted to thermal energy in the system.

According to the principle of conservation of energy, energy cannot be created or destroyed but can be transformed from one form to another. In this case, potential energy from the mass of the cylinder can be converted into thermal energy in the system. When the cylinder is lifted and submerged in the water, it possesses gravitational potential energy due to its elevated position.

As the cylinder is released and descends into the water, this potential energy is converted into kinetic energy, causing the water molecules to move and collide with higher energy. These collisions generate heat and increase the overall temperature of the water. By increasing the mass of the cylinder, more potential energy is stored.

As a result, there is a greater amount of energy available to be converted into thermal energy when the cylinder is released into the water. Thus, the temperature of the water is expected to increase as the mass of the cylinder increases.

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Answer:

Explanation:

Answer:

The 59th element is Praseodymium it's symbol is Pr.

Among the many agents of socialization, the one that has had the most significant impact on defining a person's identity is the family. Growing up in a family shapes a person's values, beliefs, attitudes, and behavior patterns.

The family provides the foundation for a child's socialization process, and the experiences a child has in the family can determine their outlook on life.

For example, if a child is raised in a family that values education, they are more likely to value education and strive for academic success. Likewise, if a child is raised in a family that values honesty and integrity, they are more likely to uphold these values in their interactions with others. The family is also responsible for providing emotional support, which can impact a child's mental health and self-esteem. Overall, the family is the most critical agent of socialization as it shapes a person's identity from a very young age and sets the foundation for their future relationships and interactions with society.

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Answer:100

Explanation:

Answer:

Explanation:

Answer:

An opisometer is used to measure a curved line.

Explanation:

Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

Answer: 0

Explanation: Work is force times displacement so although you're exerting a force on the chair since your not moving there is no displacement and anything times a value of zero is zero

The motorcycle had covered a distance of 16 meters in half the total time.

a) To calculate the acceleration, we can use the formula:

a = (v - u) / t

where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.

Given:

u = 0 m/s (initial velocity)

v = ? (final velocity)

t = 4 s (time)

s = 64 m (distance)

Using the equation of motion:

s = ut + 1/2at^2

We can rearrange the equation to solve for acceleration:

a = 2s / t^2

a = 2(64) / (4)^2

a = 128 / 16

a = 8 m/s^2

Therefore, the acceleration of the motorcycle is 8 m/s^2.

b) To find the final velocity, we can use the formula:

v = u + at

v = 0 + (8)(4)

v = 32 m/s

Therefore, the final velocity of the motorcycle is 32 m/s.

c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:

s = ut + 1/2at^2

32 = 0 + 1/2(8)t^2

16 = 4t^2

t^2 = 4

t = 2 s

Therefore, the motorcycle had covered half the total distance at 2 seconds.

d) To calculate the distance covered in half the total time, we use the formula:

s = ut + 1/2at^2

s = 0 + 1/2(8)(2)^2

s = 0 + 1/2(8)(4)

s = 0 + 16

s = 16 m

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Answer:

15mil/hr

Explanation:

To make the average speed in mph, we need to get the 40 minutes to an hour. We multiply 40 minutes by 3/2 to get 60 minutes or an hour.

40 x (3/2) = 60

This means that we need to multiply 10 miles by 3/2:

10 x (3/2) = 15 (we get 15 miles)

Average speed is equal to distance over time.

Average speed is 15mil/hr.

Hope this helps!

The charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

When a charged particle moves through a magnetic field, it experiences a force known as the Lorentz force. The Lorentz force is given by the equation F = qvBsinθ, where F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

In this scenario, an aluminum rod with a mass of 0.946 g is passed between the poles of a 0.41-T permanent magnet at a speed of 4.05 m/s at a 90o angle. Since aluminum is a conductor, it is expected that electrons in the metal will be free to move, allowing for a current to flow through the rod.

We can calculate the charge of the particle by using the equation F = ma, where F is the Lorentz force, m is the mass of the particle, and a is the acceleration of the particle.

The acceleration of the aluminum rod can be calculated using the equation a = F/m. Since the rod is moving at a constant velocity, the force due to air resistance can be ignored. Therefore, the force acting on the rod is solely due to the Lorentz force. Thus, we can write: a = F/m = qvBsinθ/m, Solving for q, we get: q = ma/vBsinθ = (0.946 x 10^-3 kg x 4.05 m/s)/(0.41 T x sin90o) = 9.26 x 10^-6 C.

Therefore, the charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

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Answer:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).

Explanation:

Acceleration can be calculated by dividing the change in velocity (measured in metres per second) by the time taken for the change (in seconds). The units of acceleration are m/s/s or m/s 2.

The moment M applied to the disc to hold the system in equilibrium is 0.09 Nm.

To calculate the moment M applied to the disc that holds the system in equilibrium, we can use the principle of moments. The principle of moments states that the sum of the clockwise moments about a point is equal to the sum of the counterclockwise moments about the same point.

Let's consider point C as the pivot point. The clockwise moments are produced by the weight of BC and the unknown moment M, while the counterclockwise moments are produced by the weight of AB.

The weight of BC can be calculated as W_BC = linear density * length = 1 kg/m * 0.3 m = 0.3 kg.

The clockwise moment is given by M_clockwise = W_BC * BC = 0.3 kg * 0.3 m = 0.09 Nm.

Since the system is in equilibrium, the clockwise moments must balance the counterclockwise moments. Therefore, the counterclockwise moment produced by the weight of AB is also 0.09 Nm.

Hence, the moment M applied to the disc to hold the system in equilibrium is 0.09 Nm.

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Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Answer:

a) The spring constant of the spring is \(28.381\,\frac{N}{m}\), b) The angular frequency of the block is \(7.038\,\frac{rad}{s}\).

Explanation:

This question is incomplete and complete version will be presented herein:

A spring is hung from the ceiling. A 0.573-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.198 m before momentarily coming to rest, after which it moves back upward. (a) What is the spring constant of the spring (b) Find the angular frequency of the block 's vibrations.

a) Since spring is hung from the ceiling and is stretched by action of gravity on 0.573 kilogram block. According to the Hooke's Law, force experimented by the spring is directly proportional to elongation. An expression describing the phenomenon is presented and described below: (System at equilibrium - Newton's Second Law)

\(m\cdot g = k\cdot \Delta x\)

Where:

\(m\) - Mass, measured in kilograms.

\(g\) - Gravitational constant, measured in meters per square second.

\(k\) - Spring constant, measured in newtons per meter.

\(\Delta x\) - Spring linear deformation, measured in meters.

Now, the spring constant is cleared in this equation and outcome is computed: (\(m = 0.573\,kg\), \(g = 9.807\,\frac{m}{s^{2}}\) and \(\Delta x = 0.198\,m\))

\(k = \frac{m\cdot g}{\Delta x}\)

\(k = \frac{(0.573\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{0.198\,m}\)

\(k = 28.381\,\frac{N}{m}\)

The spring constant of the spring is \(28.381\,\frac{N}{m}\).

b) Let suppose that mass-spring system is experimenting a simple harmonic motion, so that angular frequency is equal to:

\(\omega = \sqrt{\frac{k}{m} }\)

Given that \(k = 28.381\,\frac{N}{m}\) and \(m = 0.573\,kg\), the angular frequency, measured in radians per second, of the block is:

\(\omega = \sqrt{\frac{28.381\,\frac{N}{m} }{0.573\,kg} }\)

\(\omega = 7.038\,\frac{rad}{s}\)

The angular frequency of the block is \(7.038\,\frac{rad}{s}\).

= 2(4+6)

= 2×10

= 20

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Mona's conclusion that convection is the main way that energy escapes from the water when there is no lid may or may not be a good conclusion, depending on the context and information provided.

Convection is a process of heat transfer that involves the movement of fluids (in this case, the water) due to differences in temperature. It occurs when warmer portions of the fluid rise and cooler portions sink, creating a circulating flow.

To determine if Mona's conclusion is valid, additional information is needed. Factors such as the presence of other heat transfer mechanisms (such as radiation or evaporation), the specific setup of the experiment, and the conditions under which the observations were made are essential.

If Mona's experiment only considered convection as the primary mechanism for energy escape and excluded other factors, her conclusion might be incomplete or inaccurate. To draw a more comprehensive conclusion, it is necessary to consider other potential heat transfer mechanisms and perform further investigations or provide additional supporting data.

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Answer:

noun. a person who is connected with another or others by blood or marriage. something having, or standing in, some relation or connection to something else. something dependent upon external conditions for its specific nature, size, etc. (opposed to absolute).