an electron is moving horizontally east in an electric field that points vertically upward. the electric force on the electron is

The new period of oscillation if the mass of the bob is reduced by half is \(\frac{T}{\sqrt{2}}\) or T/√2.

Look at the attachment for a complete question. The period of oscillation of the simple pendulum

where

If we change the mass of the bob and didn't change the rope, the period also will change but the rope constant will not. The ratio of the period between the two condition

T² = 4π²m/k

T₁²: T₂² = m₁ : m₂

T²: T₂² = m : 0.50 m

T²: T₂² = 1 : 0.5

T₂² = 0.5T²

\(T_2 \:=\: \sqrt{0.5T}\)

\(T_2 \:=\: \sqrt{\frac{T}{2}}\)

T₂ = T/√2

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The degrees of freedom (df) for a t statistic in an independent-measures study can be calculated using the formula df = (n1 - 1) + (n2 - 1), where n1 and n2 are the sample sizes of the two groups being compared.

In this case, the first sample has n = 6, and the second sample has n = 8. Plugging these values into the formula, we get:
df = (6 - 1) + (8 - 1)
df = 5 + 7
df = 12
Therefore, the df value for the t statistic in this study is 12. The df value for the t statistic in this study is 12.

To calculate the degrees of freedom (df) for a t statistic in an independent-measures study, we use the formula df = (n1 - 1) + (n2 - 1), where n1 and n2 are the sample sizes of the two groups being compared. In this study, the first sample has n = 6, and the second sample has n = 8. Plugging these values into the formula, we get df = (6 - 1) + (8 - 1) = 5 + 7 = 12. Therefore, the df value for the t statistic in this study is 12.

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The final velocity of the 0.5 kg mass after the inelastic collision is 0.125 m/s to the left.

The final velocity of the 0.5kg mass is determined by applying the principles of conservation linear momentum for inelastic collision as follows.

m₁u₁  + m₂u₂ = v(m₁ + m₂)

where;

0.5(1) + 1.5(-0.5) = v(0.5 + 1.5)

0.5 - 0.75 = v(2)

-0.25 = 2v

\(v = \frac{-0.25}{2} \\\\v = -0.125 \ m/s\)

Thus, the final velocity of the 0.5 kg mass after the inelastic collision is 0.125 m/s to the left.

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Yes, it is commonly attributed to Albert Einstein that he said, "Compound interest is the eighth wonder of the world. He who understands it, earns it... he who doesn't... pays it."

However, there is no direct evidence that he actually said this, and some sources suggest that the quote may have been misattributed to him. Nonetheless, the quote has become popular in the world of finance and investing as a way to emphasize the power of compound interest in generating wealth over time.

Compound interest refers to the process of earning interest on both the initial amount of an investment and on the accumulated interest. This means that as time goes on, the amount of interest earned can grow exponentially, leading to significant gains in the value of an investment over the long term. This is why compound interest is often referred to as the "eighth wonder of the world" as it can have a dramatic impact on financial outcomes.

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Answer:

Option (d) is correct.

Explanation:

Work done is given by :

W = Fd, where F is force and d is displacement

Unit of work done :

The SI unit of force is Newton (N) and that of displacement is meter (m). So, the unit of work done is N-m. It is call Joule. It means that the unit of work done is Joule.

Power is given by rate at which the work is done. It is given by :

P = W/t, W is work done and t is time

Unit of power:

Unit of work is Joule (J) and that of time is second (s). It means that the unit of power is Watt and it is equal to Joule/second

Hence, the correct option is (d) "The unit for work is a joule. The unit for power is a watt, which is a joule per second".

Answer: The unit for work is a joule. The unit for power is a watt, which is a joule per second.

Explanation:

Answer:

true

Explanation:

Therefore, the torque exerted on the CD is: τ = Iα = (3.06 x \(10^{-5}\)) x 3.00 = 9.18 x \(10^{-5}\) Nm = 0.00196 Nm (to two significant figures) So the answer is 0.00196 Nm (or 0.00196 Newton-meters)

To solve this problem, we need to use the rotational kinematics equations:

ωf = ωi + αt ... (1)

θ = ωit + 1/2 αt² ... (2)

ωf² = ωi² + 2αθ ... (3)

where

ωi is the initial angular velocity (in rad/s)

ωf is the final angular velocity (in rad/s)

α is the angular acceleration (in rad/s²)

t is the time (in seconds)

θ is the angle of rotation (in radians)

From the problem statement, we know that:

ωi = 0 (since the CD is at rest initially)

ωf = 445 rev/min = (445/60) x 2π = 14.75 rad/s (since 1 rev = 2π radians)

θ = 2.7 x 2π = 16.97 radians (since 1 revolution = 2π radians)

r = 6 cm = 0.06 m

m = 17 g = 0.017 kg

Using equation (2) to solve for α, we get:

θ = ωit + 1/2 αt²

16.97 = 0 + 1/2 α (2.7)²

α = 3.00 rad/s²

Now, we can use the equation for torque: τ = Iα

where I is the moment of inertia of the CD. For a thin disc of radius r and mass m, the moment of inertia is given by: I = 1/2 m r²

Substituting the given values, we get:

I = 1/2 x 0.017 x (0.06)² = 3.06 x\(10^{-5}\) kg m²

Therefore, the torque exerted on the CD is:

τ = Iα = (3.06 x \(10^{-5}\)) x 3.00 = 9.18 x \(10^{-5}\) Nm = 0.00196 Nm (to two significant figures)

So the answer is 0.00196 Nm (or 0.00196 Newton-meters)

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The range of the shots(projectiles) will be around 131.65 meters when the point of the cannon is set to 20 degrees above level. 

To decide the run of the shots, we have to calculate the horizontal distance that the shots will travel.

Ready to utilize the taking after kinematic condition to fathom for the run:

\(R = (v^2/g) * sin(2θ)\)

Where:

R = run

v = starting speed (25 m/s)

g = increasing speed due to gravity (9.81 m/s²)

θ = point of the cannon (20 degrees)

Substituting the given values into the condition, we get:

\(R = (25^2/9.81) * sin(2*20)\)

R = 131.65 meters

In this manner, the run of the shots will be around 131.65 meters. 

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a) The initial phase angle is 45 degrees, (b) displacement at t=0 s is 1.414 m, (c) the velocity at t=0 s is -5.656 m/s, (d) maximum velocity is 1.568 m/s.

Simple harmonic motion (SHM) is a type of periodic motion in which an object oscillates back and forth around a central point with a constant amplitude and a sinusoidal pattern.

The equation of a simple harmonic motion (SHM) is given by:

y = A cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.

Comparing with the given equation, we have:

A = 2.0

ω = 4

φ = 45 degrees

a) The initial phase angle is 45 degrees.

b) To find the displacement at t=0 s, we substitute t=0 in the given equation:

y = 2.0 cos(4t + 45)

y = 2.0 cos(45)

y = 1.414 m

Therefore, the displacement at t=0 s is 1.414 m.

c) To find the velocity at t=0 s, we differentiate the given equation with respect to time:

v = dy/dt = -2.0ω sin(ωt + φ)

Substituting t=0, we get:

v = -2.0 x 4 sin(45)

v = -8.0 x 0.707

v = -5.656 m/s (Note: the negative sign indicates that the direction of the velocity is opposite to the direction of the displacement)

Therefore, the velocity at t=0 s is -5.656 m/s.

d) To find the maximum velocity, we differentiate the given equation with respect to time and set it equal to zero (since the maximum velocity occurs when the displacement is zero):

v = -2.0ω sin(ωt + φ) = 0

Solving for t, we get:

ωt + φ = nπ (where n is an integer)

4t + 45 = nπ

t = (nπ - 45)/4

At t=0, n=1, so:

t = (1π - 45)/4 = -11.25 degrees

(Note: the negative sign indicates that the displacement is at its maximum position, whereas the velocity is zero)

Substituting this value of t in the expression for velocity, we get:

v = -2.0 x 4 sin(-11.25 + 45)

v = 8.0 x 0.196

v = 1.568 m/s

Therefore, the maximum velocity is 1.568 m/s.

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While rounding a curve, inertia experiences a tug toward the outside.

At this level, calling a force a pushing or a pulling is entirely appropriate. A force isn't something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

A live thing's physical strength or power: He exerted all of his physical strength to open the window. To apply force on someone or something, such as to open a window, is to exert strength or authority over it. Force can also refer to physical coercion or violence.

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Answer:

net force is 5N

Explanation:

Fnet= ma

Fnet= (1)(5)

Fnet= 5N

Fnet is for net force

Answer:

In general, A/Ps win, but some synaptic signal transduction is much faster.

Explanation:

The answer depends on the synapse type:

A high-speed action potential (A/P) moves along an axon at ≈ 1 mm every 8.3 μs (≈ 120 m/s). Arriving at a terminal, the A/P voltage spike causes voltage-gated calcium channels to open, flooding the axon bouton with Ca ++

 ions, triggering neurotransmitter release.

Three different types of synapse:

In chemical synapses, transport vesicles dump their payloads into the synaptic gap (via exocytosis), neurotransmitter molecules diffuse across a ≈ 20–40 nm gap, to be sensed by receptor proteins on the post-synaptic cell membrane. Together, this may result in significant synaptic delays (milliseconds).

In electrical synapses, gap junctions open, allowing charged ions (an electric current) to flow cross, with a very short delay from axon bouton polarization ⟶ ion flow ⟶ post-synaptic cell reception.

In retina horizontal cells — said to be using the fastest known synapse type — there is no synaptic delay.

Answer:

Explanation:

There are three modes of heat transfer.

1. Conduction: It is the mode of heat transfer when the object is in contact with hot body and gradually the heat transfer from the hot end to the cold end.

2. Convection: It is the mode of heat transfer in which the molecules gets heated and moves up and the cold molecules comes down and the process continues till the entire liquid or gas is at same temperature.

3. Radiation: It is the process of heat transfer in which the heat is transferred in the form of heat waves.

(a) When the cook pot is placed on flame, it is the example of conduction.

(b) When the liquid is placed on the flame in a container, the liquid gets heated by the mode of convection.  

(c) We feel heat as we stand near the flame so it is the example of radiation.

(d) because the heat is trapped so it becomes hot in lesser time.

When the amplitude of a sound wave increases  sound gets louder.

option A.

When the amplitude of a sound wave increases, the amount of energy carried by the wave increases, resulting in a higher intensity or loudness of the sound.

The loudness of a sound depends on its amplitude. That is amplitude of an sound intensity or loudness are directly proportional. The amount of sound energy traveling through a unit area per second is the intensity of a sound wave.

Thus, when the amplitude of a sound wave increases, the amount of energy or intensity of the sound increases, resulting in a higher loudness of the sound. So the correct answer is loudness.

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Answer:

1226.25 N

Explanation:

w = mg = 125 (9.81) = 1226.25 N

Answer:

82

Explanation:

According to law of reflection, the angle of incidence = angle of reflection

Answer:

The angle of incidence will be equal to the reflection.

Explanation:

The law of reflection states that when a ray of light reflects off a surface, the angle of incidence is equal to the angle of reflection.

So 82 would be the answer.

Considering the definition of work, the correct answer is the second option: the work done in this case is 200 J.

Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.

In the International System of Units, work is measured in Joule. Joule is equivalent to Newton per meter.

The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves:

Work= distance× force × cosine (α)

In this case, the angle between the force and the displacement is 0 degrees. This is because the force and the displacement is in the horizontal direction.

The cosine of 0 degrees will have a value of 1. Then, you know:

Replacing in the definition of work:

Work= 10 meters× 20 N× cosine (0)

Solving:

Work= 10 meters× 20 N× 1

Work= 200 J

Finally, the work done in this case is 200 J.

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The amount of work done in moving the box is 200J (option B).

Work is a measure of energy expended in moving an object. It is most commonly calculated by multiplying force by the distance as follows:

Work done = Force × distance

It is said that no work is done if the object does not move.

According to this question, a large box is pushed 10 meters across a horizontal floor with a force of 20N. The work done is calculated as follows:

Work done = 20N × 10m

Work done = 200J

Therefore, 200J is the work done on the box.

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1) I=Q/T then Q= I ×T 10* ( 20*60) = 10 (120) therefore the answer is 1200C

2) I= Q/T that is 500/ 25 and the answer is 20A

The downtown is 5 miles far away, if the car travels at 10 miles / hour for 0.5 hours.

v = d / t

v = Velocity

d = Distance

t = Time

v = 10 mi / hr

t = 0.5 hr

d = v * t

d = 10 * 0.5

d = 5 mi

Velocity of the car is the rate of change of position of the car. In simple words it can be said as velocity is used to calculate the distance covered in a given amount of time.

Therefore, the downtown is 5 miles far.

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1/second Equals 1.99 x 10-7 radians. Earth rotates at a rate of 1.99 x 10-7 per second.

If the angles were not approximately 1 one of, then the radius times the angle's measurement in radians, or the width of a arc s = r, would be the ratio of the distance by the point located on the circle. The result of substituting into the linear speed formula is v = r t or v = r t.

A pseudovector used in physics to express how quickly the angular location or orientation of an item changes over time is called an angular velocity or rotational velocity.

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Answer:

± .55 kg

Explanation:

55  * 1% = .55 kg

± .55 kg

The dart will have 0.45 Joules of kinetic energy upon striking its target after losing 0.05 Joules due to air resistance.

To calculate the initial kinetic energy, we use Hooke's Law for spring potential energy: PE = 0.5 * k * x^2, where k is the spring constant (20 N/m) and x is the compression (0.1 m). PE = 0.5 * 20 * (0.1)^2 = 0.5 Joules.

Since the dart loses 0.05 Joules of energy in flight due to air resistance, we need to subtract this from the initial potential energy to find the final kinetic energy upon striking its target. So, the final kinetic energy is 0.5 Joules (initial potential energy) - 0.05 Joules (energy lost in flight) = 0.45 Joules.

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The first law of thermodynamics provides a fundamental principle for energy conservation in thermodynamic systems. It states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (q) minus the work done by the system (w).

According to the first law of thermodynamics, the energy of a system can neither be created nor destroyed, only transferred or converted from one form to another. As a result, there are two ways to quantify energy change in a system: as a result of heat transfer and as a result of work done. The first law of thermodynamics is expressed mathematically as follows:

ΔU = q - w

where ΔU is the change in internal energy, q is the heat added to the system, and w is the work done by the system.

Therefore, to express q in terms of ΔU and w:q = ΔU + w. This equation allows us to quantify the relationship between heat, work, and the change in internal energy of a system, providing a basis for analyzing and understanding energy transfers in various processes.

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Answer: definitely parallel !

Explanation: Hope This helps!

Answer:

B:parallel

Explanation:

just finished cumulative exam and this was a question

I think its "a dropped penny sinks at the bottom of a pond". Because, non-contact force is a force that you don't touch, like gravity or weight, that falls but you didn't drop it on purpose nature did or gravity itself did.

Answer:

1.07 nT

Explanation:

We know that E/B = c where E = electric field amplitude = 320 mV/m = 0.32 V/m, B = magnetic field amplitude and c = speed of light = 3 × 10⁸ m/s.

So, B = E/c

Substituting E and c into B, we have

B = E/c

= 0.32 V/m ÷ 3 × 10⁸ m/s

= 0.1067 × 10⁻⁸ T

= 1.067 × 10⁻⁹ T

= 1.067 nT

≅ 1.07 nT

Answer:

explain this

Explanation:

Suppose you walk across a carpet with socks on your feet. When you touch a metal door handle, you feel a shock because, c. Excess negative charges build up in your body while walking across the carpet, then jump when attracted to the positive charges in the door handle.

When you walk across a carpet with socks on your feet, the friction between the carpet and your socks causes the transfer of electrons. Electrons are negatively charged particles. As you move, the carpet rubs against your socks, stripping some electrons from the atoms in the carpet and transferring them to your socks. This results in your body gaining an excess of negative charges.

The metal door handle, on the other hand, contains positive charges. When you touch the metal door handle, there is a sudden flow of electrons from your body to the door handle. This movement of electrons is known as an electric discharge or a static shock. The excess negative charges in your body are attracted to the positive charges in the door handle, and this attraction causes the sudden discharge of electrons, resulting in the shock that you feel.

It's important to note that the shock occurs due to the difference in charges between your body and the metal door handle. The friction between your socks and the carpet allows for the buildup of static electricity, and the shock is a result of the equalization of charges when you touch the metal object. Therefore, Option E is correct.

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The landing speed of the plane was 78.1 m/s.

When the tail hook of the plane snags the cable, the plane's kinetic energy is transferred to the spring. The amount of energy stored in the spring is equal to the work done by the cable to stop the plane. Using the formula for the potential energy stored in a spring, we can calculate the work done and the initial kinetic energy of the plane. Then, we can use the formula for kinetic energy to find the landing speed of the plane. With a spring constant of 60,000 N/m and a spring displacement of 29 m, the spring has stored 25,020,000 J of potential energy. This is equal to the initial kinetic energy of the plane, which is calculated to be 1/2 mv^2. Solving for v, we get a landing speed of 78.1 m/s.

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