Voltage in a circuit can be calculated using the equation:
VOLTAGE = CURRENT X RESISTANCE
VOLTAGE, CURRENT AND RESISTANCE CALCULATIONS
The unit of measurement for Voltage is the Volt (V), for Current, it is Amperes
(Amp) and for Resistance it is Ohms (2).
Complete the triangle to the right using V, I and R.
(The first line for each answer is for the correct EQUATION).
1a. Calculate the voltage in a circuit where the current is 2A and the resistance is 10 Ohms.
Voltage =
11 11
Amps x
V
X
Ὦ

Answer:

False

Explanation:

Low humidity is typically associated with cold temperatures since cold air holds less water compared to warm air. While it is possible for indoor humidity to be as low as 10%, most people generally find humidity levels of about 40 to 45 percent comfortable.

The estimated damping constant is approximately 244.99 and the estimated spring constant is approximately 609.88.

To estimate the damping constant (c) and spring constant (k), we use the equation for the angular frequency (ω) of the system:

ω = √(k/m)

Given:

Mass (m) = 100 kg

Number of cycles (n) = 30

Amplitude of the 30th cycle (A) = 20% of the amplitude of the 1st cycle

Since the system completes 30 cycles in 60 seconds, the time period (T) of one complete cycle is T = 60 s / 30 = 2 s. This gives us an angular frequency of ω = π rad/s.

Next, we use the relationship between the amplitude and angular frequency to find the damping constant (c):

0.2 * amplitude of the 1st cycle = amplitude of the 30th cycle

Using this, we can solve for c.

Finally, we substitute the obtained damping constant (c) back into the equation for ω to find the spring constant (k).

The estimated damping constant is approximately 244.99 and the estimated spring constant is approximately 609.88.

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The magnitude of the rocket's acceleration is 12.5 m/s².To find the magnitude of the rocket's acceleration, we can use the equation of motion: \(v^2 = u^2 + 2as\)

The above equation has  v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. Rearranging the equation, we have \(a = (v^2 - u^2) / (2s)\).Given that the initial velocity (u) is 20.0 m/s, the final velocity (v) is 30.0 m/s, and the distance traveled (s) is 40.0 m, we can substitute these values into the equation:

a = (30.0² - 20.0²) / (2 * 40.0)

= (900 - 400) / 80

= 500 / 80

= 6.25 m/s².

Therefore, the magnitude of the rocket's acceleration is 6.25 m/s².

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In general, air-source heat pumps are sized to meet the heating and cooling demands of a building.

Air-source heat pumps are versatile heating and cooling systems that can extract heat from the outdoor air and transfer it into a building for heating purposes or remove heat from the indoor air for cooling. The sizing of an air-source heat pump is crucial to ensure that it can adequately meet the heating and cooling requirements of the space it is installed in.The sizing process takes into account factors such as the size and layout of the building, insulation levels, b, desired indoor temperatures, and the heating and cooling load calculations. Heating load calculations consider factors like the outdoor temperature, desired indoor temperature, insulation, air leakage, and more. Cooling load calculations consider factors like solar heat gain, indoor and outdoor temperature differentials, insulation, and more.By accurately sizing the air-source heat pump, it can operate efficiently, maintain comfortable indoor temperatures, and effectively meet the heating and cooling demands of the building. Improper sizing can lead to inefficient operation, inadequate heating or cooling, and increased energy consumption.

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Answer:

Natural selection is a mechanism, or cause, of evolution.

Explanation:

Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations.

Answer:

3.a. 6m away

b. 3m away

Explanation:

a)

Effort = 10000N

Load=5000 N

effort distance=3 m

load distance=?

We can use the following equation to calculate the distance of the load from the fulcrum:

\(\boxed{\bold{\tt{Load * Load \:Distance = Effort * Effort \:Distance}}}\)

Plugging in the known values, we get:

\(\bold{\tt{5000 N * Load Distance = 10000 N * 3 m}}\)

dividing both side by 5000 N

\(\bold{\tt{Load\: Distance =\frac{ 10000 N * 3 m }{5000 N}}}\)

Load Distance = 6 m

Therefore, the load must be 6 meters away from the fulcrum in order for the crane to be balanced.

b)

If the load is increased to 10,000N, the effort and effort distance do not change.

Effort = 10000N

Load=10,000 N

effort distance=3 m

load distance=?

This is because the moment of the load will increase, and the moment of the effort will remain the same.

The moment of the load is calculated as follows:

\(\boxed{\bold{\tt{Load * Load \:Distance = Effort * Effort \:Distance}}}\)

Plugging value

\(\bold{\tt{10,000 N * Load Distance = 10,000 N * 3 m}}\)

dividing both side by 10,000 N

\(\bold{\tt{Load\: Distance =\frac{ 10,000 N * 3 m }{10,000 N}}}\)

New Load Distance = 3 m

Therefore, if the load is increased to 10,000N, it should be placed 3 meters away from the pivot point to balance the crane.

Their electrical potential energy will decrease, their kinetic energy will increase, and they will travel towards each other.

When two negative charges are released and constrained to remain close together, the charges will be repelled by each other due to their opposite electrical charges.

This repelling force causes the charges to move away from each other, increasing their kinetic energy and decreasing their electrical potential energy.

Since they are constrained to remain close together, they will travel towards each other until they come into contact. At that point, the electrical potential energy will reach its minimum, and the kinetic energy will reach its maximum.

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In the first and second cases, with 1-kilogram mass and 1 kg mass, respectively, the total stretch of the double-length spring will be 10 cm. K is the spring constant. M is mass. G is the acceleration due to gravity.

Atoms in crystals are in an ordered array. These particles are dispersed at random in amorphous materials.

Density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density. Grams per cubic centimeter are a common unit of measurement for density.

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Answer:

B

Explanation:

just took the test

Answer:

b

Explanation:

Answer:

LETTER A. AMPLITUDE

:)

Answer:

A

Explanation:

The Epsilon ring would get wider and  The Epsilon ring would expand toward the space once occupied by Ophelia's orbit.

Every so often the pressure of the impact is notable enough to soften a number of the local rock. If an impactor is huge enough, a number of the material driven toward the edges of the crater will slump returned towards the center and the rock below the crater will rebound, or beat back up, growing an imperative height in the crater.

Most of the volcanic activity happened early within the Moon's records, about three billion years ago. The most latest asteroid lava glide occurred approximately 1 billion years ago. Mercury: The MESSENGER undertaking has photographed a great deal of Mercury's surface and discovered evidence of volcanic activity shaping its surface.

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Answer:

Your average velocity would be 20 m/s.

Explanation:

hope this helped!

Answer:

The center of mass is at -1.58 cm, that is towards the left of the origin, or towards the copper end.

Explanation:

Given information: Let the length of the rod is 2l = 100cm

Answer:

the change in momentum is 2.52 N·s

the constant force on the ball while in contact with the players foot is 126 N

Explanation:

p=momentum

m=mass

v=change in velocity

p=(0.42)(6)

p=2.52

The change in the ball's momentum is 2.52 kgms⁻¹

The constant force exerted by the players foot on the ball is 126 N

From the question,

We are to determine the change in momentum of the ball

Change in momentum calculated by using the formula,

\(\rho = m(v-u)\)

Where \(\rho\) is the change in momentum

\(m\) is the mass

\(v\) is the final velocity

and \(u\) is the initial velocity

From the given information,

\(m = 0.42 \ kg\)

\(u = 12 \ m/s\)

\(v = 18 \ m/s\)

Therefore,

Change in the ball's momentum,

\(\rho = 0.42 (18-12)\)

\(\rho = 0.42 (6)\)

\(\rho = 2.52 \ kgms^{-1}\)

Hence, the change in the ball's momentum is 2.52 kgms⁻¹

For the force exerted by the players foot

Force is given by change in momentum with time

That is,

\(F = \frac{\rho}{t}\)

Where

\(F\) is the force

\(\rho\) is the change in momentum

and \(t\) is the time

From the given information

\(t = 0.020 \ s\)

Therefore,

\(F = \frac{2.52}{0.020}\)

\(F = 126 \ N\)

Hence, the constant force exerted by the players foot on the ball is 126 N

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Answer: 3.24 * 10^-4 ohms

Explanation:

For this question, we will use the equation R = p L/A. R represents resisatnce, p is resistivity, L is length, and A is area.

p = 1.61 * 10^-8 ohm-meters

L = 20.4 m

A = (area of a circle)

- Convert diameter into radius (and the correct units): 2.047/2 * 10 ^-3.

Now plug them into the equation.

ANSWER

547.5 J

EXPLANATION

Given:

• The child's mass, m = 15 kg

• The height of the slide, h = 5 m

• The velocity of the child at the bottom of the slide, v = 5 m/s

Find:

• The loss of mechanical energy due to friction

The loss of mechanical energy due to friction is the difference between the child's gravitational potential energy at the top of the slide, and the child's kinetic energy at the bottom of the slide,

Replace the known values and solve,

Hence, 547.5 Joules of energy were lost due to friction.

Answer:

2. reflected

hope it is helpful to you

Most stars take millions of years to die. When a star like the Sun has burned all of its hydrogen fuel, it expands to become a red giant then when it fully runs out it then dies

Answer:

. When the core runs out of hydrogen fuel, it will contract under the weight of gravity.

Explanation:

The energy transfered to the hand of the watch is 0.05 J.

Energy is the ability or the capacity to perform work.

To calculate the energy transfered to the hand, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the energy transfered is 0.05 J.

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Answer:

reynolds number equation

Answer:

Lol, yes

Explanation:

backward movement

because momentum = mass × speed

And mass must be in positive value..

so negative value is speed

which moving backward..

The tension in the rope is 150 N.

The tension in the rope would be 150 N.

What are the given values?

Given,Mass of the engine = 135 kg

Mass of the pulley system = 6.65 kg

Acceleration due to gravity = 9.8 m/s²

Formula to calculate tension,T = m(g + a)

Where,T is the tension in the rope,m is the mass of the engine, and

a is the acceleration of the system.Here, the pulley system is at rest.

So, acceleration of the system is zero. Hence,a = 0

Substituting the given values in the above formula,T = 135 kg × (9.8 m/s² + 0)T = 1323 N

Now, the pulley system multiplies the tension by a factor of two.

Tension in the rope,T = 1323/2 N = 661.5 N= 662 N

Therefore, the tension in the rope is 150 N.

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When linked across a 20-volt battery, a length of 5.56 metres of wire is required to provide 48 watts of electricity.

We may utilise the power in a resistor formula, which is:

\(P = V^2 / R\)

where P denotes power, V denotes voltage, and R denotes resistance.

This formula can be rearranged to account for resistance:

\(R = V^2 / P\)

We also know that the resistance of a wire may be computed using the formula: resistivity (), length (L), and cross-sectional area (A).

R = ρL / A

We may calculate the needed length of wire by combining these two equations:

ρL / A = \(V^2 / P\)

L = A\(V^2\) / (P ρ)

Plugging in the given values, we get:

L = (4.0 x \(10^-6 m^2\)) (\(20 V)^2\)/ (48 W) (3.0 x \(10^8\) Ω·m)

L = 5.56 m

As a result, a wire length of 5.56 metres is required to generate 48 watts of electricity when linked across a 20-volt battery.

Therefore, the length of wire required is 1.11 km.

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Cells that innervate neuromuscular junctions originate from the central nervous system (CNS).

The central nervous system (CNS) is one of the two main parts of the nervous system, with the other being the peripheral nervous system (PNS). The CNS consists of the brain and spinal cord, which are responsible for receiving, processing, and sending information throughout the body.

The brain is the control center of the body and is responsible for cognitive functions such as thinking, memory, and decision-making. The spinal cord is responsible for transmitting information between the brain and the rest of the body, and for controlling reflexes.

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Answer:

0.23N for the speed

at the bottom of the circle

According to the audibility curve, auditory sensitivity is maximal at frequencies in the range of 2000 to 5000 Hz.

The audibility curve, also known as the equal-loudness contour, represents the relationship between sound intensity and frequency at which the human ear perceives sounds as being equally loud. It is a graph that shows the minimum sound intensity required for a tone at different frequencies to be perceived as equally loud.

The audibility curve indicates that auditory sensitivity is highest in the range of 2000 to 5000 Hz. This means that the human ear is most sensitive to sounds within this frequency range and requires a lower sound intensity for these frequencies to be perceived as equally loud compared to frequencies outside of this range.

The peak sensitivity in the 2000 to 5000 Hz range is important in understanding human hearing and designing audio systems. It indicates that sounds within this frequency range are more easily detected and can have a stronger impact on our perception of loudness and clarity. Understanding the audibility curve helps in creating audio content and systems that are optimized for human hearing capabilities.

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