An electron moves at a speed of 1.0 x 104 m/s in a circular path of radius 2 cm inside a solenoid. The magnetic field of the solenoid is perpendicular to the plane of the electron’s path. Calculate (a) the strength of the magnetic field inside the solenoid and (b) the current in the solenoid if it has 25 turns per centimeter.

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The traffic cop needs 23.3 seconds to pass the automobile.

When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.

\(d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m\)

\(d = d1 = 35.0 m\)

\(d2 = v2*t + (1/2)at^2\)

\(d2 = (1/2)at^2\)

\(v2*t + (1/2)at^2 = (1/2)at^2\)

\(v2*t = (1/2)at^2\)

Solving for t, we get:

\(t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s\) (rounded to 2 decimal places)

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1. Filter absorbs all colors of white light.

2. The light that has passed through a filter, is always dim.

The filter selectively transmits the red and blue portions of the incident white light spectrum, but absorbs most of the green wavelength.

Color filters absorb certain wavelengths of color and transmit the other wavelengths allowing them to be seen.

Therefore in conclusion, the right filter can reduce glare, increase contrast, and make lunar features pop.

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Answer:  

Newton's second law of motion describes the relationship between force and acceleration. They are directly proportional. If you increase the force applied to an object, the acceleration of that object increases by the same factor. In short, force equals mass times acceleration.

Explanation:

The magnitude of the vector D =0.5A- 3B + C is mathematically given as

D =256N

This is further explained below.

Generally,

\(D &=0.5 A-3 B+C \\D_x &=0.5 A_x-3 B_x+C_x \\D_x &=0.5\left(A \cos 30^{\circ}\right)-3\left(-B \sin 30^{\circ}\right)+\left(-\cos 53^{\circ}\right) \\\)

=0.5(100 *0.866)+3(80 *0.5)-(40 *0.602) \\

=43.3+120-24.07

=163.3-24.07 \\

D_x =139.3N

D_y =0.5 A_y-3 B_y+C_y

\(=0.5\left(A \sin 30^{\circ}\right)-3\left(B \cos 30^{\circ}\right)+\left(-C \sin 53^{\circ}\right) \\\)

=0.5(100 *0.5)-3(80 *0.866)-40 *0.8

In conclusion,

D_y =25-207.85-31.95

D_y =25-239.8

D_y =-214.8N

\(D &=\sqrt{D_x^2+D_y^2} \\\\&=\sqrt{(139.3)^2+(-214.8)^2} \\\\&=\sqrt{19404.49+46139.04} \\\\&=\sqrt{65543.53} \\\\\)

D =256N

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The East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).

Isaac's force:

Magnitude: 255 N

Angle: 13 degrees North of East

x-component: 255*cos(13) = 245.1 N (Eastward)

y-component: 255*sin(13) = 58.1 N (Northward)

Newton's force:

Magnitude: 156 N

Angle: 34 degrees South of East

x-component: 156*cos(34) = 129.4 N (Westward)

y-component: 156*sin(34) = 86.5 N (Southward)

Now we can add the x- and y-components of the forces to find the net force:

Net force:

x-component: 245.1 N - 129.4 N = 115.7 N (Eastward)

y-component: 58.1 N - 86.5 N = -28.4 N (Southward)

The net force has an Eastward component of 115.7 N. Therefore, the East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).

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Answer:

Equal to 30°C.

Explanation:

The final temperature of both objects are equal to 30°C because of the conduction heat from one object to another. Both objects have same mass of 2 kg and both were isolated from the external environment so conduction of heat occurs from the more hotter body to the less hotter body until the temperature of both objects are equal to each other.

The final temperature of both objects is less than 30° C

The specific heat of an object is the minimum required quantity of heat needed to raise the temperature of 1 gram of the object(substance) by 1° C.

From the parameters given:

Using the Calorimetry principle, we need to understand that the heat lost by an object at a high temperature is proportionally equal to that heat gained by the object at a low temperature.

i.e.

\(\mathbf{Q_{lost}= Q_{gain}}\)

\(\mathbf{ms_B \Big[40^0 \ C - \theta_o\Big]= ms_A \Big [ \theta_o - 20^0 \ C \Big]}\)

Given that:

Then, let us consider a scenario where \(\mathbf{S_A = 1.5S_B}\)

Thus;

\(\mathbf{S_B \Big[40^0 \ C - \theta_o\Big]= 1.5S_B \Big [ \theta_o - 20^0 \ C \Big]}\)

\(\mathbf{40^0 \ C - \theta_o= 1.5 \theta_o - 20^0 \ C}\)

\(\mathbf{ 2.5\theta_o= 70^0 \ C}\)

\(\mathbf{ \theta_o= \dfrac{70^0 \ C}{2.5}}\)

\(\mathbf{ \theta_o=28 ^0 C}\)

Therefore, we can conclude that since the specific heat of object A is larger than that of object B i.e. \(\mathbf{S_A> S_B}\), then the final temperature \(\mathbf{ \theta_o<30 ^0 C}\)

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Answer:

There will be no tides

Explanation:

Answer:

The answer is "Option C".

Explanation:

It's evident from the figure below that after thirty minutes, not no more hydrogen can be created because all of the reactants have converted into products.

hydrogen gas created in cm cubes per period x = 20 seconds, y = 45 centimeters squared, and so on.

A reaction's terminus (the graph's flat line) indicates that no further products are being created during the reaction.

Answer: C

Explanation: student 1 has a vel to the right

The path of the falling stone relative to student 1 is straight down while it is parabolic to student 2.

Motion can be defined as a change in the location (position) of a physical object or body with respect to a reference point, especially due to the action of an external force.

As shown in the image attached below, the path of the falling stone relative to student 1 is straight down while it is parabolic to student 2 because student 1 is standing on a cart that is moving at a constant speed and student 2 is stationary i.e standing at rest on the ground.

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Answer:

P

Explanation:

If the bat break it will get replaced and you will get another bat,but if u get hit with the ball it's dangerous in many ways

Answer:

The First 8 Presidents

For this exercise, we're going to use a silly story made of silly sentences. The letters that represent the last names of these presidents are W, A, J, M, M, A, J, V. One silly sentence to help you remember this sequence is: Wilma and John made merry and just vanished

working memory.

sensory memory.

short-term memory.

long-term memory.

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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The final velocity after 6.0 s is

1304.2 .

What is velocity?

velocityis the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.

Solution -

As per the given-

Mass of runner m = 74kg

initial velocity of runner u=4.8 m/s

final velocity of runner v =0

Coefficient of friction ¥=0.7

Let's d be the distance moved by runner till the stop.

a- mechanical energy lost due to friction

As friction does negetive work causing the runner to stop.

As we know,

Mechanical energy lost= Kinetic energy of runner

Mechanical energy lost =

1/2 mv^2 = 1/2 ×74×4.8^2=852.2

Distance move by runner-

Work done by friction = mechanical energy lost

-¥×mg×d =852.2 j

-0.7×74×9.8×d = -491.2

Solving the equation we get

1304.2.

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Answer:1.93

Explanation:

The magnitude of a vector can be found using the Pythagorean theorem, where the components of the vector are the sides of a right triangle.

In this case, the components of displacement vector A are given as A = -1.00 m and A-1.732 m.

The magnitude of A can be calculated as follows:

A = √(-1.00 m)^2 + (1.732 m)^2 = √3.732 m^2 = 1.93 m

So, the magnitude of displacement vector A is 1.93 m.

The values of A, B, C, and D are not related to the displacement vector A, so they cannot be used to find the magnitude of A.

Answer:

a. The bowling ball would have more kinetic energy because of its greater mass.

b. Potential energy

Explanation

a. Bowling ball has higher mass, self explanatory.

b. A high diver has lots of stored energy when they are on the diving platform. When they dive this stored energy helps make the splash when they hit the water. Stored energy is also called potential energy.

Hi there!

Recall the equation for the magnetic field produced by a solenoid:

\(B = \mu_0 ni\)

B = Magnetic field (T)
n = number of turns per unit length (103 turns/m)

i = Current in solenoid (In this instance, changes with respect to time)

Using Faraday's Law:

\(\epsilon = -N\frac{d\Phi_B}{dt}\)

ε = Induced emf (V)
N = Number of loops in coil (15 turns)

\(\frac{d\Phi_B}{dt}\) = Change in magnetic flux with respect to time (Wb/s)

We know that magnetic flux is equal to:
\(\Phi_B = \oint B \cdot dA = B\cdot A\)

Since the cross-sectional area remains constant, we can take it out of the time-derivative. Since the current in the solenoid varies with time, we know that its magnetic field must also vary.

\(\frac{d\Phi_B}{dt} = A * \frac{dB}{dt}\)

Solving for dB/dt, since the solenoid's current is the only thing changing with respect to time:
\(\frac{dB}{dt} = \mu_0 n * \frac{di}{dt}\)

We must first differentiate I(t) using trig and chain derivative rules.

If:
\(f(x) = \alpha sin(\beta t)\\\\f'(x) = (\alpha * \beta) cos(\beta t)\)

Therefore:
\(\frac{di}{dt} = (5 * 120)cos(120t)\\\\\frac{di}{dt} = 600cos(120t)\)

So, dB/dt equals:

\(\frac{dB}{dt} = \mu_0 n\frac{di}{dt}\\\\\frac{dB}{dt} = (4\pi * 10^{-7})(103)(600cos(120t))\\\\\frac{dB}{dt} = 0.0777cos(120t)\)

Now, substituting this expression into the equation for Faraday's Law:
\(\epsilon = -N_{coil} * A * \frac{dB}{dt} \\\\\epsilon = -15 * \pi(0.02^2) * 0.0777cos(120t)\\\\\epsilon = \boxed{-0.001464cos(120t) \text { V}}\)

**For 'A', I used the cross-sectional area of the solenoid because there is no magnetic field produced by the solenoid in the exterior of its opening. Thus, the magnetic field remains confined to an area of A = π(0.02²) = 0.00126 m², which is the value used to calculate the magnetic flux rather than the cross-sectional area of the coil.

**Also, the (-) sign in front of the function of the induced emf simply shows how the induced E-field and consequentially emf opposes the change in the solenoid's current.

The final amount of pressure caused by the force is 90 N/m².

Initial amount of force, F₁ = 22 x 10³ N

Initial amount of pressure produced, P₁ = 110 N/m²

Final amount of force exerted, F₂ = 18 x 10³ N

Pressure is defined as the amount of force acting on an object per unit area of the object.

So, we can say that the force and pressure are directly proportional.

F ∝ P

So, F₁/P₁ = F₂/P₂

Therefore, the final amount of pressure caused by the force is,

P₂ = F₂P₁/F₁

P₂ = 18 x 10³x 110/22 x 10³

P₂ = 18/0.2

P₂ = 90 N/m²

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The final speed when the mass is 40,000kg height is 2.5km and 500,000N of force is 176.8 m / s

According to Newton's second law of motion,

F = m a

F = Force

m = Mass

a = Acceleration

m = 40000 kg

F = 500000 N

a = F / m

a = 500000 / 40000

a = 12.5 m / s²

a = v / t

v = d / t

v = Velocity

t = Time

d = Distance

d = 2.5 km = 2500 m

a = d / t²

12.5 = 2500 / t²

t² = 200

t = 14.14 s

v = 2500 / 14.14

v = 176.8 m / s

Therefore, the final speed is 176.8 m / s

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The interaction that does not take place due to field forces is the interaction between a pen and paper while you write.

Gravity law is a well-established scientific theory that states objects can attract each other according to their masses.

This theory (gravity law) was developed by Sir Isaac Newton to explain the movement of objects.

In conclusion, the interaction that does not take place due to field forces is the interaction between a pen and paper while you write.

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Explanation:

states that the acceleration of an object increases with increased force and decreases with increased mass. The law also states that the direction in which an object accelerates is the same as the direction of the force.

Answer:

The vertical component of the velocity can be found using the formula:

V₀y = V₀ * sin(θ)

where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.

Substituting the given values, we have:

V₀y = 48 * sin(53°)

Using a calculator, we can evaluate sin(53°) to be approximately 0.799:

V₀y = 48 * 0.799

V₀y ≈ 38.352

Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.

Answer:

B.) 38 meters/second

Explanation:

Answer:

Light takes less time than sound.

Explanation:

Let's say, the teacher and the student are at a distance "d" from each other.

The medium around them would be air.

And,

The speed of light in air is approx. 3× 10⁸ m/s

while, the speed of sound in air is approx. 330 m/s

We have a formula that establishes the relation between speed, distance and time.

\( \boxed{ \mathsf{speed = \frac{distance}{time} }}\)

Our hunt for time — Speed in both the scenarios is known to us whereas the distance is same.

Sound

\( \mathsf{330 = \frac{d}{time_{s}} }\)

\( \underline{\mathsf{time _{s} = \frac{d}{330} }}\)

Light

\( \mathsf{3 \times {10}^{8} = \frac{d}{time _{l} } }\)

\( \underline{ \mathsf{ time _{l} = \frac{d}{3 \times {10}^{8}} }}\)

The best way of comparison is finding their ratio.

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{ \frac{d}{330} }{ \frac{d}{3 \times {10}^{8} } } }\)

simplifying the fraction

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{d \times (3 \times {10}^{8} )}{330 \times d}}\)

d gets canceled and we're left with the following expression

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{ (3 \times10 \times {10}^{7} )}{330}}\)

30, being a common factor in the numerator as well as denominator, gets canceled out. and in its place remains 1/ 11

(why?

=> 30÷330 = 1÷11)

\( \implies \mathsf{\frac{ time_{s}}{time_{l} } = \frac{ 1\times {10}^{7} }{11}}\)

taking timeₛ to the numerator on the other side.

\( \implies \mathsf{time_{s} = \frac{ 1\times {10}^{7} }{11}\times time_{l}}\)

Therefore, we get timeₛ is approx. 10⁶ times the timeₗ.

That's a big difference, no wonder light's way much faster than sound.

As lesser the time taken to cover a distance, faster is the wave.

The sound takes about 874,000 times MORE time than the light takes.

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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Answer:

well at the rate he goes he would be at 2.5km

The speed of the puck is 3.67 m/s.

To find the speed of the puck, we can use the concept of centripetal force. The tension in the string provides the necessary centripetal force to keep the puck moving in a circle. At the same time, the tension in the string also supports the weight of the suspended mass.

Using Newton's second law, we can write two equations of motion: one for the puck and one for the suspended mass. For the puck, the net force acting on it is the tension in the string, which is equal to the centripetal force required to keep it moving in a circle. Thus, we can write:

= m1 * v^2 / R

where T is the tension in the string, v is the speed of the puck, and R is the radius of the circle.

For the suspended mass, the net force acting on it is its weight minus the tension in the string, which must be zero since the mass is in equilibrium. Thus, we can write:

T = m2 * g

where g is the acceleration due to gravity.

Combining these two equations, we can solve for the speed of the puck:

v = sqrt(T * R / m1) = sqrt(m2 * g * R / m1)

Substituting the given values, we get:

v = sqrt(1.0 kg * 9.81 m/s^2 * 0.9 m / 0.21 kg) = 3.67 m/s

Therefore, the speed of the puck is 3.67 m/s.

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The speed of the raindrop without air drag would be 240 m/s.

The speed of the raindrop with air drag would be approximately 7.96 m/s at terminal velocity.

Density is the ratio of mass and volume.

Without air drag:

The mass of the raindrop can be calculated from its density and volume:

mass = density x volume = (4/3) x π x (4.5 x 10⁻³ m)³ x 1000 kg/m³ = 0.000381 kg

The potential energy of the raindrop at height h = 3.90 km is:

Potential energy = mgh = 0.000381 kg x 9.81 m/s² x 3900 m = 14.8 J

The equation for kinetic energy to calculate the speed of the raindrop just before it hits the ground:

Kinetic energy = (1/2)mv²

where v is the speed of the raindrop.

Solving for v, we get:

v = √(2 x Kinetic energy / m) = √(2 x 14.8 J / 0.000381 kg) = 240 m/s

Therefore, the speed of the raindrop without air drag would be 240 m/s.

With air drag:

At terminal velocity, the net force on the raindrop is zero, so we can equate the gravitational force to the drag force:

mg = (1/2) x density of air x v² x A x drag coefficient

where A is the cross-sectional area of the raindrop and v is the terminal velocity.

Solving for v, we get:

v = √(2mg / (density of air x A x drag coefficient)) = √(2 x 0.000381 kg x 9.81 m/s² / (1.21 kg/m³ x pi x (4.5 x 10⁻³ m)² x 0.47)) = 7.96 m/s

Therefore, the speed of the raindrop with air drag would be approximately 7.96 m/s at terminal velocity.

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The correct statement is " Sunlight absorbed at the surface results in greenhouse gases warming the atmosphere." The correct option is B.

The greenhouse effect is a natural phenomenon that keeps the Earth's temperature within a range that is suitable for humans and other forms of life. The greenhouse effect is maintained by certain gases in the atmosphere, known as greenhouse gases, which trap the sun's energy and warm the Earth's surface.

Option A, which states that human activities absorb sunlight to create stable warm temperatures on Earth, is not correct. Human activities do not directly absorb sunlight. However, they do release greenhouse gases, which contribute to the greenhouse effect and increase the temperature of the Earth's surface.

Option C, which states that greenhouse gases produced from human activities heat the surface temperatures of Earth, is partially correct. Human activities, such as burning fossil fuels, do release greenhouse gases that contribute to the greenhouse effect. However, this option suggests that the greenhouse gases themselves heat the surface of the Earth, which is not accurate. The greenhouse gases trap heat in the atmosphere, which warms the Earth's surface.

Option D, which states that sunlight is reflected by the surface of the Earth, and heat is trapped in the atmosphere by greenhouse gases, is not entirely accurate. The Earth's surface absorbs the sun's energy, and some of this energy is reflected back into space. The rest is absorbed by the Earth's surface and then re-emitted as heat. The greenhouse gases in the atmosphere trap this heat and prevent it from escaping into space, which causes the Earth's temperature to rise.

Therefore, The correct answer is option B.

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