The graph shows the displacement of a mouse
What is the farthest position the mouse reaches inside the tunnel?
7 meters into the tunnel
4 meters into the tunnel
3 meters into the tunnel
It cannot be determined from the information given

Answer:

The change in momentum of the ball = 81 kg·m/s

Explanation:

Given:

m = 1.5 kg

V₁ = - 27 m/s

V₂ = + 27 m/s

____________

Δp - ?

The change in momentum of the ball:

Δp = m·ΔV

Δp = m· (V₂ - V₁) = 1.5·(27 - (-27)) = 1.5·(27 + 27) = 81 kg·m/s

Answer:

Explanation:

Given:

V₀ = 1 000 km/h = 1  000 000 m / 3 600 s ≈ 280 m/s

V = 0 m/s - the Blue Flame car stopped

D = 2.0 km = 2 000 m  - distance

________________________________

a - ?

D = (V₀² - V²) / (2·a)

Acceleration:

a = (V₀² - V²) / (2·D)

a = (280² - 0²) / (2·2000) ≈ 20 m/s²

The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.

The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.

D=1/2gt2 and T=√2d/g

By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:

t= √2(1.5m)/9.8m⋅s−2 = 0.553s

So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:

d= 20m/s(0.553s)= 1.11m

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Knowing the power of the units and the electromagnetic waves is necessary to calculate the net energy unit.

What is power?

Power is the work completed in a given amount of time or time spent working. The joules per second (J/s)-based SI power unit is the Watt (W). Horsepower (hp), roughly equal to 745.7 watts, is sometimes used to describe the power of machines like motor vehicles.

What are electromagnetic waves?

Magnetic and electric fields vibrate together to produce electromagnetic waves, also known as EM waves. In other words, oscillating magnetic and electric fields make up electromagnetic waves (EM).

P=I*A=t=E/t

E=I*A*T

I= 153W/M^2

A=18.2*45.1*10^-4

A=0.082082

t=1.22mins = 1.22*60^S

t= 73.2

applying the formula E=I*A*T

E= 919.2855j

Therefore, the net energy absorbed in 1.22 min is 919.285j.

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Frictional forces between wind and the ocean surface are the primary cause of surface waves. This is the first option.

The most common cause of waves is wind. Surface waves, also known as wind-driven waves, are formed by the frictional forces between wind and surface water. The continual disturbance creates a wave crest as wind blows across the surface of the ocean or a lake. Surface waves are found globally across the open ocean and along the coast.

There is also a type of waves called tidal waves. Tidal waves are caused by the gravitational pull of the Sun and Moon on Earth.

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The velocity of the pumpkin 3.0 seconds after it was dropped is 29.4m/s.

The formula for the first equation of motion is expressed as;

v = u + gt

Where v is final velocity, u is initial velocity, g is acceleration due to gravity ( g = 9.8m/s² ) and t is time elapsed.

Given the data in the question;

Since the pumpkin was initially at rest before it was dropped.

To determine the velocity of the pumpkin after 3 seconds, plug the given values into the above equation of motion.

v = u + gt

v = 0 + ( 9.8m/s² × 3.0s )

v = 9.8m/s² × 3.0s

v = 29.4 m/s

Therefore, the final velocity is 29.4 meter per seconds.

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A rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. It will take 0.15 seconds to hit the rock ground

height = displacement = 1.20 m

initial speed = u = 7.54 m/s

final speed = v = 0

time = ?

Using kinematic equation

s = u*t + 1/2 * g * [tex]t^{2}[/tex]

1.20 = 7.54 t + 1/2 * 9.8 *  [tex]t^{2}[/tex]

= 4.9  [tex]t^{2}[/tex] + 7.54 t  - 1.20

t = 0.15 seconds

It will take 0.15 seconds to hit the rock ground

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Beating a magnet on an object is not a method of making magnets. The correct option to this question is B.

Paper-clip  Note Magnet

Making a magnet out of a paper clip is the simplest method.

Collect goods: A small piece of metal can be used to create a quick temporary magnet, like a paper clip or a refrigerator magnet.

The induction approach entails merely bringing the magnetic material (soft iron) close to a powerful magnet without making contact.

Magnet using the electro magnetic approach in an image

Utilizing transmitters, electromagnetic (EM) techniques produce powerful, time-varying main magnetic fields that cause electrical currents to flow through conductive rocks.

Instead of moving it back and forth in the same direction, rub the paperclip magnet against the object. To fire a game, make the same swift action.

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The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.

In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.

However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.

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MRI and FMRI are the  combination of neurological imaging techniques contains two methods that utilize magnetic imaging.

A magnetic field and radio waves produced by a computer are used in the magnetic resonance imaging (MRI) medical imaging procedure to provide precise images of the organs and tissues inside your body.

Large, magnetized tubes are the common shape of MRI equipment. The magnetic field briefly realigns water molecules in your body as you lie within the MRI machine. To produce cross-sectional MRI pictures, which resemble the slices of a loaf of bread, radio waves induce these aligned atoms to emit tiny signals.

Your doctor can evaluate your organs, tissues, and skeletal system with an MRI without performing any intrusive procedures. It generates detailed images of the body's.

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Answer: 20

Explanation: Because if you divide the astronauts weight by 10.

This planet is less massive than the Earth, as we can deduce.

What is meant by the orbital period?

A measure of how long it takes for one complete orbit of a celestial body to complete In terms of time, "the orbit period depends on the satellite altitude." the length of time needed for one cycle of a phenomenon that repeats itself frequently.

What are rotation and revolution?

An object rotating around its axis is referred to as turning. An object's orbital movement around another thing is called a "revolution." A 24-hour day, for instance, is created when the Earth rotates on its axis. The 365-day year results from the Earth's rotation around the sun.

Therefore, it is lesser massive than Earth.

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5:6 is the ratio of linear speed of two runners in jogging. The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time.

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

The speed of the person one at the radium is v1=15

The speed of the person two at the radium is v2=18

The ratio be 15:18  , The 15 and 18 are the common multiple of 3

Therefore 5:6

The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. A specification of a thing's speed and direction of motion is what velocity is.

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The moment of inertia of the boxer's forearm that has an angular acceleration of 125.0 rad / s² is 0.25 kg m²

τ = F * ⊥d

τ = Torque

F = Force

⊥d = Perpendicular distance

F = 1495 N

⊥d = 2.1 cm = 0.021 m

τ = 1495 * 0.021

τ = 31.395 N m

τ = I α

I = Moment of inertia

α = Angular acceleration

α = 125 rad / s²

I = τ / α

I = 31.395 / 125

I = 0.25 kg m²

Therefore, the moment of inertia of the boxer's forearm is 0.25 kg m²

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The ball will take 45 seconds to reach the ground.

U=0(since ball is dropping)

So, we have to find t=?

Given

a=-9.8m/s

S=45m

As we know,

S=ut+1/2at^2

so,

t^2=45×90/2

hence

t=45s.

so the time taken is 45 seconds.

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The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.

oceanography :

average wavelength of open ocean, l = 140 meters

time period, t = 10 seconds

speed of the train is calculated as :

140/10 = 14m/s

speed of train = 14m/s

The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.

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The electric field must be this large, 67*10^-5 Volts / meter,  to produce a 1.00mV voltage between the ends of the antenna that is 1.5m long.

It can be considered as an electric property assosicated with each point in the space where a charge is present in any form. Electric field is by definition the force per unit charge, so that multiplying the field times the plate separation gives the work per unit charge, which is by definition the change in voltage.

How to calculate how large must the electric field?
Electric field = Voltage / length
= 1 x 10^-3 volts / 1.5 meters

= 67 * 10^-5 Volts / meters (rounded)

The electric field should be this large 67*10^-5 Volts / meter to produce 1mV voltage between the ends of the antenna that is 1.5m long.

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The maximum force (Fmax) from the bat which hits the ball with a speed of 40 m/s of weight 0.145kg is 5.8 N.

A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.

Given,

mass of ball is 0.145 g.

speed of ball after being hit is 40 m/s.

maximum force =?

time taken to hit the ball be 1 s

By using the formula, F = ma

where,

F = force from the bat

m = mass of the ball

a = acceleration of the ball

But,

a = s/t

where,

s = speed of the ball being hit

t = time taken

F = ms/t

F = 0.145 x 40 / 1

F = 5.8

∴ force from bat is 5.8 N.

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Produced the model is the resistance of the circuits decreased as a battery voltage increased (option-B).

Ohm's Law describes how current, voltage, and resistance are related to one another. According to this, as long as the temperature doesn't change, the current flowing through a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.

The more work a certain quantity of electrons can accomplish at a given voltage. The quantity of electrons that are presently moving through any one point in a circuit at any particular time is known as the current. At the same voltage, a larger current can perform more work. Current times voltage equals power.

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Answer:

b

Explanation:

The pressure of the gas in the rigid container is doubled, then the temperature will also increase by two times.

According to ideal gas equation,

PV = nRT

Where, P is pressure, V is volume, n is the moles, T is temperature of the gas and R is the gas constant.

A certain volume of gas is put in the container means that the volume and the mole of the gas are constant so, we can write,

PV = Constant,

P₁/T₁ = P₂/T₂

Let us say that P₁ and V₁ are initial parameters, If the volume of the container is doubled, then, P₂ = 2P₁,

So,

P₁/T₁ = 2P₂/T₂

T₂ =  2T₁.

So, the temperature of the gas will be increase by two times,

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The vertical height the basketball player will attain in the given time is 2.2 m

From the question given above, the following data were obtained:

The vertical height attained by the player, can be obtained as illustrated below:

h = ½gt²

h = ½ × 9.8 × 0.671²

h = ½ × 9.8 × 0.450241

h = 2.2 m

Thus, from the calculation made above, we can conclude that the vertical height of the player is 2.2 m

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Look for radiation at long wavelengths is the best technique for learning about more distant region of our galaxy disk.

There are few stars visible if we stare perpendicular to the disk. More stars can be seen when looking from Earth towards the galactic center. This suggests a disk shape. The dust in galaxies is made up of microscopic grains of carbon, silicon, iron, aluminum, and other heavier elements. The Milky Way contains a lot of carbonaceous dust, which is quite rare in other galaxies.

The stars on the disk all orbit the galactic center in roughly the same place and direction. Halo and bulge stars likewise orbit the center of the galaxy, but their orbits are randomly inclined to the galaxy's disk. The orbital velocity of stars allows us to calculate the distribution of mass in our galaxy.

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Niobium wire with a 2.60 mm diameter has a maximum current capacity of 500 A while still remaining superconducting.

Current is the rate at which charge passes from one point on a circuit to another. In a circuit, a significant current flows when several coulombs or charge pass over the cross section of a wire. When the charge carriers are firmly packed inside the wire, high currents can be generated at low speeds.

Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. Regular current is received at the positive end and then flows to a negative terminal.

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1. The x component of the force is 4.4 N

2. The y component of the force is 3.5 N

The following data were obtained from the question:

1. How to determine the x component

x component = FCosθ

x component = 5.6 × Cos 39

x component = 4.4 N

2. How to determine the y component

y component = FSineθ

y component = 5.6 × Sine 39

y component = 3.5 N

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The height of the tower is 20.68 m

Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.

Using,

T = 2π√(L/g)

Where, T = period of the oscillation

L = Height of the tower

g = Acceleration due to gravity

Make L the subject of the equation

L = gT²/(4π²)

Given: T = 9.12 s

g = 9.8 m/s²

π = 3.14

Substitute into equation 2

L = 9.8(9.12²)/(4×3.14²)

L =  m

Hence the height of the tower = 20.68 m

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(a) For the first 50 m:

h1 = 0.5 x a x t12

50 m = 0.5 x 9.8 m/s2 x t12

t1 = 3.19 s

Time to fall first 50 m = 3.19 s

(b) For the full 100 m:

h2 = 0.5 x a x t22

100 m = 0.5 x 9.8 m/s2 x t22

t2 = 4.52 s

Time to fall second 50 m = t2 - t1 = 1.33 s

Dropped rocks and other objects gain speed rapidly as they fall. Velocity defines the direction in which a body or object is moving. Velocity is primarily a scalar quantity. Velocity is basically a vector quantity. Rate of change of distance.

If our planet loses gravity for even 5 seconds it means the end of life on Earth as we know it. Gravity pulls objects together. The greater the mass of an object, the stronger its gravitational pull. Any submarine you choose for skydiving should be designed with movement in mind. If the weather is cool on the day of skydiving, you should choose pants that cover the entire leg. We recommend wearing sweatpants or sweatpants.

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The phase angle between the voltages of the capacitor and inductor in rlc circuit is 180°.

The phase angle is the component of a periodic wave. It is the shift between the AC current and the voltage on the measured impedance. The two elements of phase angle are reactance(X) and resistance (R).

The phrase for phase angle is, Xₐ = sinωt

where Xₐ= phase angle

ω = wavelength of the wave in 1 revolution

t = time period of 1 revolution

The instantaneous voltage ΔvR is in phase with the current, ΔvL leads the current by 90°, while ΔvC lags behind the current by 90°. The instantaneous values of these three voltages do add algebraically to give the instantaneous voltages across the RLC combination.

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The motion is critically damped is 0.69 m.

The mass of a body is the amount of matter it contains. It is a scalar value. Weight: A body's weight is the force with which the earth attracts it. It is the effect of gravity.

The property of matter that measures its resistance to acceleration in physics. The mass of an object is roughly equal to the number of atoms in it. The kilogram is the fundamental unit of mass measurement. Weight = mass multiplied by gravity's acceleration

critically damped: βω0.

x = [tex]$\left(C_1+c_2 t\right) e^{-\beta t}$[/tex] = 2 J t = 0

[tex]$\dot{x}=\left(c_1+c_2 t\right)\left(-\beta e^{-\beta b}\right)+c_2 e^{-\beta t}$[/tex] = 0 st = 0

[tex]$c_1=2 . \quad c_2=\beta \cdot 2$[/tex]

Now, [tex]$\omega_0=\sqrt{\frac{b}{m}}$[/tex]

Let the equation be mg = k . 2

so, √g/2 = √k/m = [tex]$\omega_0$[/tex]

[tex]$c_1[/tex] = 2, [tex]$c_2[/tex] = √(8/2) × 2 = 2√5

x = [tex]$(2+2 \sqrt{5} t) e^{-\sqrt{5} t}$[/tex] or [tex]$(2+2 \sqrt{3}) e^{-\sqrt{s}}$[/tex] = 0.69 m

Therefore the motion is critically damped is 0.69.

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