Describe two possible sources of error in the students' measurement when measuring the speed of sound.

Given,

The extension of the spring due to the attached mass, x=1.24 m

The spring constant, k=330 N/m

The weight of a mass m is given by,

Where g is the acceleration due to gravity,

The magnitude of the restoring force of a spring is given by,

Therefore,

On substituting the known values,

Thus the mass of the weight is 41.76 kg

Answer:

9800J

Explanation:

It appears that potential energy is given to the object, so to calculate total energy in the system, we can use the potential energy formula

Potential energy = 250 kg • 9.8 m/s/s • 4 m

Potential energy = 9800J

You'll notice that the equation for the potential energy and work in this scenario is the same due to the fact that force would be equal to mass multiplied by gravity anyway.

Assuming the system has 100% efficiency, the total kinetic energy will be equivalent to the potential in the system currently

S=d/t

S=2/16

S=0.125m/s

Answer:

Option C is correct. The ball keeps moving forward and falls downward at the same time.

Explanation:

When the ball reaches the edge of the cliff, its forward motion will indeed continue due to its inertia. Inertia is the property of an object to maintain its state of motion. However, gravity will also be acting on the ball, causing it to accelerate downward.

As a result, the ball will move forward and descend downward at the same time. The trajectory of the ball will be a curved path that combines the horizontal motion (forward movement) and the vertical motion (downward fall) simultaneously. This curved path is known as a parabolic trajectory.

The exact shape of the trajectory will depend on factors such as the initial velocity, angle of the cliff, and air resistance. If there is no air resistance and the cliff is not too steep, the ball's trajectory may resemble a smooth parabolic curve. However, if there is air resistance or the cliff is steep, the trajectory might deviate from a perfect parabola.

Eventually, due to the downward acceleration caused by gravity, the ball's vertical motion will dominate, and it will fall straight down. But immediately after reaching the edge of the cliff, the ball will experience a combination of forward motion and downward descent.

Between visible light and microwave is where infrared falls. Infrared has a higher energy than radio but a lower energy than gamma rays.

The term "infrared" refers to electromagnetic waves that exist within the electromagnetic spectrum at frequencies slightly below those of red visible light and just above those of microwaves. According to the California Institute of Technology, the wavelengths of infrared radiation are longer than those of visible light (Caltech).

The majority of the radio portion of the electromagnetic spectrum (EM spectrum) is found between 1 cm and 1 km, or 30 GHz and 300 kHz in frequency. The EM spectrum's radio region is relatively vast. Astronomers usually employ wavelength in the infrared and optical spectrum.

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The rotational inertia of the wheel is 1.344 × 10⁻⁴ kgm²

Rotational inertia of an object is the measure of the ability for the object to rotate about an axis which may or may not pass thorugh the object.

Since in one type of wagon wheel consists of a 2.0-kg hoop fitted with four 0.80-kg thin rods placed along diameters of the hoop so as to make eight evenly spaced spokes and for a hoop of radius 0.40 mm, we need to find the rotational inertia of the wheel about an axis perpendicular to the plane of the wheel and through the center?

The rotational inertia of the wheel is given by I = I₁ + I₂ where I₁ = rotational inertia of hoop = and I₂ = rotational inertia of thin rods

Now the rotational inertia of the hoop is, I₁ = m₁r² where

Also, the rotational inertia of each thin rod is I₃ = m₂L²/2 where

Since there are four thin rods, I₂ = 4I₃

= 4m₂L²/2

= 2m₂L²

= 2m₂(2r)²

= 2m₂(4)r²

= 8m₂r²

So, I = I₁ + I₂

I = m₁r² + 8m₂r²

I = (m₁ + 8m₂)r²

So, substituting the values of the variables into the equation, we have

I = (m₁ + 8m₂)r²

I = (2.0 kg + 8 × 0.80 kg)(0.004 m)²

I = (2.0 kg + 6.4 kg)(0.000004 m²)

I = (8.4 kg)(0.000016 m²)

I = 0.0001344 kgm²

I = 1.344 × 10⁻⁴ kgm²

The rotational inertia of the wheel is 1.344 × 10⁻⁴ kgm²

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A helicopter is a type of aircraft which uses spinning blades ( wings) to fly .

Based on the relationship between pressure and volume, the volume of the gas will increase if the pressure of a gas goes from 1 atm to 0.5 atm.

According to ideal gas equation,

PV = nRT

P = Pressure

V = Volume

n = Number of moles

R = Gas constant

T = Temperature

At constant Temperature,

P ∝ 1 / V  → ( 1 )

From ( 1 ), it can be clearly seen that pressure is inversely proportional to volume. So as pressure increases the volume will decrease and if the pressure decreases, the volume will increase. In the given situation, the pressure is decreased. So the volume will increase.

Therefore, the volume of the gas will increase if the pressure of a gas goes from 1 atm to 0.5 atm.

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The objective of the experiment of submerging different objects in fluid is to determine the density of the unknown material using Archimedes' principle.

Archimedes' principle- The amount of the upward force felt by the object when submerged in fluid is equal tot he weight of the mass of the fluid displaced.

So, in this experiment,

The objects of unknown densities are submerged in liquid, they displaces some amount of liquid. The amount of liquid is related to the buoyancy of the unknown object as,

Vₐpg = Vσg

where,

p is the density of the unknown object,

σ is the density of the fluid and Vₐ is the volume of the body submerged in fluid and V is the volume of the water displaced.

So, by this relation, we can find the density of the unknown material.

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The statement that best summarizes the difference between the two diseases is viruses are not living organisms, but bacteria are living. The correct option is b.

Bacteria are living organisms, and they are both bad and good, they come under archaea. They are present everywhere on earth. Viruses are a non-living entity, and it only gets alive when it gets a living body or host.

Since bacteria can also proliferate, not just viruses, there is no difference. There is something known as "good bacteria," but the virus is frequently the one that is more hazardous.

Therefore, the correct option is b. Viruses are not living organisms, but bacteria are living.

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The question is incomplete. Your most probably complete question is given below:

a. Viruses can replicate because they are living organisms, while bacteria cannot.

b. Viruses are not living organisms, but bacteria are living.

c. Viruses can be beneficial to living organisms, but bacteria are often infectious.

d. Viruses are living organisms, while bacteria are not.

As the elevator moves upward, the cables are under 1,960 N of tension.

The given parameters are,

The mass of the elevator (m) = 200 kg

According to Newton's Second Law of Motion, an object's force is directly inversely proportional to its mass times its acceleration.

The tension in the cables as the elevator travel upwards is calculated by applying the 2nd law of Newton,

T = ma +mg

where a is the acceleration of the elevator and g is the acceleration due to gravity,

At constant velocity, acceleration is zero. (a =0)

T = m(0) +mg

T = mg

T = 200*9.8

T = 1,960 N

Thus, As the elevator moves upward, the cables are under 1,960 N of tension.

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The vertical component (height) of the pendulum's maximum displacement is 0.146 meters.

In physics, the maximum displacement or range traveled by a point on a vibrating body or wave calculated from its equilibrium position is known as amplitude. It is one-half of the length of the vibration path.

We have a collision when the bullet hits the pendulum, and momentum is preserved in any collision. Let the pendulum's beginning momentum and the bullet's initial momentum be, p₁ and p₂, respectively.

Following the impact, the pendulum and the bullet travel as one object with the same velocity, v. Let p₃ be the momentum of the pendulum and as well as the bullet following the impact.

Hence,

First momentum = Last Momentum

p₁ + p₂ = p₃

[3.4kg x 0m/s] +([2.90 x 10⁻²] x 200m/s) = 3.48kg x v

Simplified, we have

5.8kg · m/s = 3.49kg · v

Making v the subject of the formula, we have

v = 1.69m/s

As a result, the combined velocity of the pendulum and bullet after the contact is v = 1.69 m/s.

We are now using the conservation of energy equation. The potential energy at the maximum height will be equal to the kinetic energy of the pendulum plus the bullet.

mgh = 1/2mv²

Where

m is the mass in kilograms

g is the acceleration due to gravity

h is height in meters; and

v is velocity

If we divide both sides with m and make h the subject of the formula, we have:

h = v²/2g

= (1.69m/s)²/2 (9.81)m/s²

= 0.14557084607m

Hence,

The vertical component of the pendulum's maximum displacement (h) [tex]\approx[/tex] 0.146m

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Full Question:

A 29-g rifle bullet traveling 220 m/s embeds itself in a 3.9-kg pendulum hanging on a 3.0-m-long string, which makes the pendulum swing upward in an arc.

Determine the vertical component of the pendulum's maximum displacement. Express your answer in two significant figures and include the appropriate units.

Answer: C

Explanation: because it is made out of metal.

Answer:

C- iron nail.

Explanation:

iron nails are attracted to magnets and that's made of magnetic material.

Answer:

Explanation:

Given:

m₁

m₂

R₁

F₁ = 16 units

m₁' = 2·m₁

m₂' = 2·m₂

R₂ = 2·R₁

_________

F₂ - ?

The force of gravity:

F₁ = G·m₁·m₂ / (R₁)²

F₂ = G·m₁'·m₂' / (R₂)² = G·(2·m₁)·(2·m₂) / (2·R₁)² =

= 4·m₁·m₂ / (4·R₁²) = m₁·m₂ / (R₁)² = F₁

F₂ = F₁ = 16 units

ANSWER:

6 m/s

STEP-BY-STEP EXPLANATION:

Given:

Mass of balls (m) = 3.86 kg

Initial speed of ball 1 (u1) = 5 m/s

Final speed of ball 1 (v1) = - 1 m/s

Initial speed of ball 2 (u2) = 0 m/s

We make the balance for the moment and we are left with the following:

Therefore, the speed of the second ball is equal to 6 m/s

Using the theories of solar system, we got that at stage-2 of solar system formation is the sun extremely active and gas is blown out to the outer solar system by the suns radiation pressure and strong solar wind.

Protostar is created as the gas collapsed over the time, it became denser and hotter. Over time, the spherical inner core started forming, which was hotter than rest of the star.

Most of the collapsing mass which is collected in the center, forming the Sun, while the rest of the mass flattened into a protoplanetary disk out of which the planets, moons.

Hence, the stage of solar system formation in which  the sun extremely active and gas is blown out to the outer solar system by the suns radiation pressure and strong solar wind is stage-2.

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Answer:true

Explanation:

1. The constant speed of Ashley for first four minute of her trip is calculated here

For first four minutes Ashley travelled 800 m distance (d) , substituting this value in the formula of speed

Speed(s) = distance (d)/ time (t)

Speed(s) = 800/4

Speed(s)= 200m/s

2. Ashley's average speed for the entire trip is

The total distance (d) traveled by Ashley is 1600 m and time (t) taken for that is 10 minutes.

Speed (s)=  distance(d)/time(t)

Speed (s)= 1600/10

Speed(s) = 160m/s

3. The average velocity of Ashley is 160 m/s in east direction. As velocity is nothing but speed with direction.

4.  In graph there is linear slop when Ashley was 800 m away from her house where net displacement is zero means she stopped there to talk with friend.

5. Slope of line after Ashley stopped to talk to her friend is

Slope = [tex]X_{2}[/tex] - [tex]X_{1}[/tex]/ [tex]Y_{2}[/tex]-[tex]Y_{1}[/tex]

Slope= 8-0/800-800

Slope= 0 as it is a linear line and slope of it is zero.

6. The slope of a line is related to her speed as speed increases the slope increases.

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Given:

The gravitational constant, G=6.67259×10⁻¹¹ N·m²/kg⁻²

The mass of the moon, M=7.36×10²² kg

The radius of the orbit of the satellite, R=955.2 km=955.2×10³ m

To find:

1. Satellite's speed.

2. The period of satellite.

3. The acceleration of the satellite.

Explanation:

1.

The gravitational force applied by the moon on the satellite provides the satellite with the centripetal force that is neccessary for the satellite to orbit the moon.

Thus,

Where F_c is the centripetal force, F_g is the gravitational force, and v is the orbital velocity of the satellite.

On substituting the known values,

2.

The orbital period of the satellite in seconds is given by,

Thus the period of the satellite in hours is given by,

On substituting the known values,

3.

The acceleration of the satellite is given by,

On substituting the known values,

Final answer:

1. The orbital velocity of the satellite is 23267.46 m/s

2. The period of the satellite is 0.74 hr

3. The acceleration of the satellite is 5.38 m/s²

ANSWER:

a) 55.82 m/s

b) 49.8 m/s

c) 5.17 kg

STEP-BY-STEP EXPLANATION:

Given:

Height (h) = 159 m

Initial speed (vi) = 0 m/s

a)

We calculate the final speed using the following formula:

b)

To determine the final velocity with the opposing force, we have to determine the net force and then calculate the acceleration that would be used to calculate the velocity, like this:

c)

We can calculate the mass in the following way, first, we must calculate the acceleration to be able to determine the mass:

If a cannonball of mass 25 kg is fired straight up at an initial velocity of 8 m / s, the maximum height it can reach is 3.27 m

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

a = Acceleration

s = Distance

u = 8 m / s

a = - 9.8 m / s²

At maximum height,

v = 0

Using the equation from equations of motion,

0 = 8² + ( 2 * - 9.8 * s )

19.6 s = 64

s = 3.27 m

Therefore, the maximum height it can reach is 3.27 m

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smaller than the object and upright.

We have a negative lens, the image is between the object and the lens.

The top of the virtual image must be below and touching the ray that connects the top of the car with the lens (green)

So, the image will be smaller than the car and it won't be inverted.

Spiral galaxy rotation curves are generally fairly flat out to large distances. Suppose that spiral galaxies did not contain dark matter. Their rotational curves be different as the orbital speeds would fall off sharply with increasing distance from the galactic center.

Plotting the orbital speeds vs radius graph gives us the rotational curves. According to the theoretical calculations, the curve increases as the radial distance decrease and then decreases as the radial distance increases. The theoretical graph does not take the dark matter into account.

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The weight of a girl would be 294 N on Earth with a mass of 30 Kg.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The weight on Earth of a girl would be the product of the mass and acceleration due to gravity on Earth

So the required solution would be:

⇒ weight  = mass × acceleration due to gravity on Earth

⇒ weight  = 30 × 9.8

⇒ weight  = 294 N.

Hence, the weight of a girl would be 294 N on Earth with a mass of 30 Kg.

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The final velocity of the car 120.93 m/sec.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Given in the question, a car travelling with an initial velocity of 15.0 m/s, accelerates at 2.40 m/s² over a distance of 180 m

Using equation of motion,

v² = u² + 2as

v² = 15² + 2*40*180

v =  120.93 m/sec

The final velocity of the car 120.93 m/sec.

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The power crane used is2× 10⁵ W.

The amount of work finished in a specific length of time is a definition of power. The SI unit of power is the watt (W), which is derived from joules per second (J/s). Horsepower (hp) is a unit of measurement sometimes used to express the power of motor vehicles and other equipment. It is roughly comparable to 745.7 watts.

Given parameters:

Work done  = 600,000J

Time taken  = 30s

Unknown:

Power of the crane = ?

Mathematically,

Power = Work done /time taken

= 600,000J/30

Power= 200000 W

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If the spring is pushed with a constant force of 4 N force directed parallel to the surface, the spring will be compressed by 0.5 m at the next instant the box is at rest.

Us = 1 / 2 k x²

W = F x

Us = Potential energy of the spring

k = Spring constant

x = Displacement

F = Force

W = Work done

k = 32 N / m

F = 4 N

xi = 0.5 m

According to law of conservation of energy,

Change in potential energy = Total Work done by the force

1 /2 k xf² - 1 / 2 k xi² = F xf + F xi

1 / 2 * 32 ( xf² - 0.5² ) = 4 ( xf + 0.5 )

4 ( xf² - 0.25 ) = xf + 0.5

4 xf² - xf - 1.5 = 0

This is in the form of a quadratic equation,

x = - b ± √ ( b² - 4 a c ) / 2 a

a = 4

b = - 1

c = - 1.5

xf = - ( - 1 ) ± √ [ ( - 1 )² - ( 4 * 4 * -1.5 ) ] / ( 2 * 4 )

xf = 1 ± √ 25 / 8

xf = 1 ± 5 / 8

xf = 0.75 or - 0.5

Since it is compressed,

xf = - 0.5 m

Therefore, the spring will be compressed by 0.5 m at the next instant the box is at rest.

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The speed and acceleration when it reaches the foot of the inclined plane is 14√2 m/s

Torricelli's theorem states that the speed of a liquid flowing through an orifice is equal to the speed it would attain if falling freely a distance equal to the height of the liquid's free surface above the orifice.

Given that

A hoop of the moment of inertia released from the top of an inclined plane 20m high and length 32m rolls drawn without slipping

W have to determine the speed and acceleration when it reaches the foot of the inclined plane

By using Torricelli's theorem

V= √2gh

Here g= 9.8 and h = 20m

V= √2x9.8x20

V= √4x9.8

V= 14√2 m/s

Therefore the speed and acceleration when it reaches the foot of the inclined plane is 14√2 m/s

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Answer: 0.4299s.

Explanation: To find the angular acceleration ,Newton's second angular law will be used.

τ = I α

Wr = I α

The weight is applied in the middle of the pencil , sin 10 = r / (L/2).

r = L/2 sin 10

the moment of inertia will be: I = 1/3 M L²

mg L / 2 sin 10 = (1/3 m L²) α  

αf = 3/2 g / L sin 10

α  = [3/2 × 9.8] / [0.150 sin10]

α  = 17 rad/s²

angle from the vertical to the ground θ = π / 2

t = √ (2 π / (2 α ))

t = √(π / α )

t = √(π / 17)

t = √3.142 / 17

t = 0.4299s

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The rocket's hang time if it is launched with horizontal velocity of 42.3 m / s and a vertical velocity of 78% is 30.53 s

If vertical velocity is 78 % then the horizontal velocity must be 22 %

So 1 % = 42.3 / 22 = 1.92 m / s

Vertical velocity = 78 * 1.92

Vertical velocity = 149.97 m / s

Initial velocity, u = √ uy² + ux²

u = √ ( 149.97 )² + ( 42.3 )²

u = √ 22491.82 + 1789.29

u = 155.82 m / s

tan θ = uy / ux

tan θ = 149.97 / 42.3

tan θ = 3.55

θ = 74.3°  

a ) Hang time,

T = 2 u sin θ / g

T = 2 * 155.82 * sin 74.3° / 9.8

T = 30.53 s

b ) Maximum vertical displacement,

H = u² sin²θ / 2 g

H = 155.82² sin²( 74.3 ) / 2 * 9.8

H = 644.16 m

c ) Maximum horizontal displacement,

R = u² sin 2θ / g

R = 155.82² sin² ( 74.3 ) / 9.8

R = 2283.3 m

Therefore,

a ) Hang time = 30.53 s

b ) Maximum vertical displacement = 644.16 m

c ) Maximum horizontal displacement = 2283.3 m

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