bird bones have air pockets in them to reduce their weight. this also gives them an average density significantly less than that of the bones of other animals. suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). what mass of water is displaced?mass of water displaced:kg what is the volume of the bone?volume of the bone:m3 what is its average density?average density of the bone:kg/m3 question credit: openstax college physics

75 lbs/in^2 is the value of pressure. The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure.

In the physical sciences, pressure is defined as the stress at a point within a confined fluid or the perpendicular force per unit area.

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.

P1V1=P2V2

The amount of force applied to a certain region is referred to as pressure. Absolute pressure, gauge pressure, and differential pressure are the three categories into which pressure is divided.

The distance between that point and the surface, the liquid's density. Gravitational acceleration are the factors of pressure.

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With the aid of your spectroscope and E = (h*c)/wavelength, you can determine the energy of the emitted light to be 3.97 x 10-19.

mathematical representation The movement v (in the x direction), frequency f, and wavelength of traveling sinusoidal waves are frequently expressed mathematically as follows: where y is the value of the wave at any place x and time t, and A is the wave's amplitude.

The symbol for the wavelength in the SI is typically m, or one metre. The multiples or fractions of something like a meter are also employed for measuring wavelength. Notably, when wavelengths are a significant attribute, exponential powers of 10 are employed. Shorter wavelengths are given as negative exponentials.

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Destructive interference causes nodes—points with no amplitude—to form in a standing wave.

What do you call a point of destructive interference on a standing wave?

The nodes are areas of no displacement brought on by the two waves' destructive interaction. The two waves' constructive interference causes the antinodes to move maximally from their resting position.

Is there zero destructive interference amplitude?

The amplitude is 0 and resembles a node at a point of destructive interference. So, if we consider the aforementioned point to be nodes and antinodes, we can observe that the pattern of nodes and antinodes exactly matches that of a standing wave.

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The following which is not a way to speed up a chemical reaction include the following below:

This is defied as the degree of hotness or coldness of a substance and it is determined by thermal energy.

In a chemical reaction, the speed can be increased by increasing the surface area and the temperature because it leads to the collision of more atoms in other to form the product which was why options A and C were chosen as the correct choices.

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When the two magnets are made to move, the energy of the system in the system tends to change potential energy into the kinetic energy

Potential energy is the energy stored in the body while is at rest which would turn into kinetic energy when the object will initiate motion. This conversion of potential energy to kinetic energy is understood by the Work-Energy theorem. The kinetic energy is formulated as,

K.E. = 1/2 mv²

where K.E = Kinetic energy

m = mass of an object

v = velocity of the object

The work-energy theorem is stated as the products of all the forces acting on the system are equal to the difference in kinetic energies.

∑W = ΔK.E

where W = Work done on the system

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The rate is the current changing is = - 1.3 x 10⁻⁴ A/s

Solution:

We take the derivative of Ohm's law with respect to time

V = IR

Using the product rule:

dV/dt = I(dR/dt) + R(dI/dt)

We are given that voltage is decreasing at 0.01 V/s

resistance is increasing at 0.04 ohm/s

resistance itself is 400 ohms,

and current is 0.04 A

Substituting:

-0.01 V/s = (0.04 A)(0.04 ohm/s) + (400 ohms)(dI/dt)

dI/dt = -1.3 x 10⁻⁴ A/s.

The relationship between current, voltage, and resistance. The amount of continuous current flowing through many materials is directly proportional to the potential difference or voltage between them.

Law of Electricity The strength of a direct current is directly proportional to the potential difference and inversely proportional to the resistance of the circuit. Ohm's Law is a formula for calculating the relationship between voltage, current, and resistance in a circuit. Ohm's law describes the relationship between current, voltage, and resistance. This shows that at a constant temperature, the current through the circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.

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The total kinetic energy of the system of the two objects can be achieved by adding of the kinetic energies of first and second body.

Kinetic energy is directly proportional to the mass of the thing and to the square of its velocity: K.E. = 1/2 m v². If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared. So the formula for kinetic energy is that it's equal to 1/2 times the mass of the object, times the immensity of its velocity squared, or another way to think about it, its speed squared. In an elastic collision, both the impulse and the kinetic energy of the system are maintained. On the other hand, in an inelastic collision, momentum is sustained but kinetic energy can not be sustained.

So we can conclude that two objects of equal mass moving with equal speeds in opposite directions have a total momentum of zero, but their total kinetic energy is not zero.

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The outer core of Jupiter, which is made up of liquid metallic hydrogen, is where electrical currents originate that create the planet's internal magnetic field.

The third layer of the Earth is its outer core. Iron and nickel, together with trace amounts of other materials, make up the majority of this layer, which is the only one that is liquid. The Earth's magnetic field is created by the outer core. The iron inside the liquid outer core of Earth flows about as it rotates on its axis.

Above the solid inner core of the Earth and below its mantle is a liquid layer made of iron and nickel that is about 2,261 km thick. Its outer boundary is located 2,890 km (1,800 mi) below the surface of the Earth.

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Answer:90g for 70km

Explanation:

Amplitude does not affect wave speed because amplitude is a measure of the wave energy as it oscillates. This implies that movement of the wave is separate from the movement indicated by the sleep of the wave.

By increasing the tension, the wave speed increases and hence frequency increases. Greater tension implies greater acceleration of particles, which means greater speed of particles and hence greater speed of wave.

As we know, speed = frequency * wavelength. This clearly means that speed is directly proportional to the frequency such that when frequency increases, speed also increases and vice versa.

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By using simple harmonic motion, it can be calculated that The fundamental frequency of the string will be 45Hz.

The wavelength of the standing wave for any given harmonic is related to the length of the string.

Considering the wavelength is equal to the length of the string. It means one wavelength is equal to the length of the string. If more wavelength is made then answer would be different.

so we have wavelength = 1m

wave speed = 45 m/s

as we know that from simple harmonic motion,

frequency = speed/wavelength

frequency = 45/1

frequency = 45 Hz

Hence frequency of the string is 45 Hz.

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The period of this waveform is 2 milliseconds and its frequency is 2 kilohertz.

The period of a waveform is the time it takes for one complete cycle. The frequency of a waveform is the number of times that cycle repeats per second.

The time base is set to 500 ns/div, which means that each division represents 500 nanoseconds. Four cycles of a waveform occupies 10 divisions, so we can calculate the frequency as follows:

1) 4 cycles = 4x500ns

   = 2ms

2) 2ms = 2 x 1/2 ms

3) 1/2 ms = 1/2 x 1 ms

4) 1ms = 1000us

5) 1000us / 500 ns / div = 2000 Hz

In conclusion, the period of this waveform is 2 milliseconds and its frequency is 2 kilohertz.

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Answer:

Approximately [tex]0.033\; {\rm m\cdot min^{-1}}[/tex] (meters per minute.)

Explanation:

Let [tex]A[/tex] and [tex]B[/tex] denote the bottom and top width of the trough, respectively. It is given that [tex]A = 30\; {\rm cm} = 0.30\; {\rm m}[/tex] and [tex]B = 80\; {\rm cm} = 0.80\; {\rm m}[/tex]. Let [tex]H[/tex] denote the height of this trough; [tex]H = 50\; {\rm cm} = 0.50\; {\rm m}[/tex].

Let [tex]h[/tex] denote the current depth of the water in this trough.

Let [tex]b[/tex] denote the current width of the surface of the water. As water fills the trough, this width increases from [tex]A = 0.30\; {\rm m}[/tex] (width of bottom of trough) to [tex]B = 0.80\; {\rm m}[/tex] (width of top of trough.)

The relationship between [tex]b[/tex] and [tex]h[/tex] is linear:

[tex]\displaystyle b = \frac{h}{H}\, (B - A) + A[/tex].

Cross-section area of water in this trough:

[tex]\begin{aligned}(\text{area}) &= \frac{1}{2}\, (A + b) \, h \\ &= \frac{1}{2}\, \left(A + \frac{h}{H}\, (B - A) + A\right)\, h \\ &= A\, h + \frac{1}{2\, H} (B - A)\, h^{2}\end{aligned}[/tex].

Let [tex]L[/tex] denote the length of this trough; [tex]L = 10\; {\rm m}[/tex].

Let [tex]v[/tex] denote the volume of water in this trough:

[tex]\begin{aligned}v &= (\text{area})\, L \\ &= \frac{1}{2}\, (A + b) \, h\, L \\ &= \frac{1}{2}\, \left(A + \frac{h}{H}\, (B - A) + A\right)\, h\, L \\ &= A\, L\, h + \frac{L}{2\, H} (B - A)\, h^{2}\end{aligned}[/tex].

Differentiate both sides implicitly with respect to [tex]v[/tex]:

[tex]\displaystyle \frac{d}{dv}[v] = \frac{d}{dv}\left[A\, L\, h + \frac{L}{2\, H}\, (B - A)\, h^{2}\right][/tex].

[tex]\displaystyle \frac{d}{dv}[v] = \frac{d}{dv}[A\, L\, h] + \frac{d}{dv}\left[\frac{L}{2\, H}\, (B - A)\, h^{2}\right][/tex].

[tex]\displaystyle 1 = A\, L\, \frac{dh}{dv} + \frac{L}{2\, H}\, (B - A)\, 2\, h\, \frac{dh}{dv}[/tex].

(Note that [tex]A[/tex], [tex]B[/tex], [tex]L[/tex], and [tex]H[/tex] are constants.)

Rearrange this equation to obtain:

[tex]\displaystyle 1 = A\, L\, \frac{dh}{dv} + \frac{L}{H}\, (B - A)\, h\, \frac{dh}{dv}[/tex].

[tex]\displaystyle 1 = \left(A\, L + \frac{L}{H}\, (B - A)\, h \right)\, \frac{dh}{dv}[/tex].

[tex]\displaystyle \frac{dh}{dv} = \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}[/tex].

Let [tex]t[/tex] denote time. It is given that the trough is being filled at a rate of [tex]0.2\; {\rm m^{3}\cdot min^{-1}}[/tex]. In other words:

[tex]\displaystyle \frac{dv}{dt} = 0.2\; {\rm m^{3}\cdot min^{-1}}[/tex].

Apply the chain rule to find the rate at which [tex]h[/tex] is changing with respect to time [tex]t[/tex]:

[tex]\begin{aligned} \frac{dh}{dt} &= \frac{dh}{dv}\cdot \frac{dv}{dt} \\ &= \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}\cdot \frac{dv}{dt} \end{aligned}[/tex].

Substitute in [tex]A = 0.30\; {\rm m}[/tex], [tex]L = 10\; {\rm m}[/tex], [tex]H = 0.50\; {\rm m}[/tex], [tex]B = 0.80\; {\rm m}[/tex], [tex]h = 0.30\; {\rm m}[/tex] (converted from [tex]30\; {\rm cm}[/tex]), and that the rate of change in [tex]v[/tex] is [tex]0.2\; {\rm m^{3}\cdot min^{-1}}[/tex]:

[tex]\begin{aligned} \frac{dh}{dt} &= \frac{dh}{dv}\cdot \frac{dv}{dt} \\ &= \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}\cdot \frac{dv}{dt} \\ &= \frac{0.2\; {\rm m^{3}\cdot min^{-1}}}{\displaystyle 0.30\; {\rm m} \times 10\; {\rm m} + \frac{10\; {\rm m}}{0.60\; {\rm m}}\, (0.80\; {\rm m} - 0.30\; {\rm m}) \, 0.30\; {\rm m}} \\ &=0.033\; {\rm m\cdot min^{-1}} \end{aligned}[/tex].

In other words, the depth of the water in this trough increases at a rate of approximately [tex]0.033\; {\rm m \cdot min^{-1}}[/tex] (meters per minute.)

The kinetic energy of the ball just after it is kicked is 48 J.

Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all instances of objects in motion that use kinetic energy.

Vibrational, rotational, and translational energy are the three subtypes of kinetic energy. Unsurprisingly, vibrating things are the source of vibrational kinetic energy. While objects colliding with one another produce translational kinetic energy, objects moving create rotational kinetic energy.

Given:

Mass- 0.43kg

Velocity- 15

kinetic energy = 1/2 mv²

kinetic energy of the ball = 1/2 (0.43)(15)²

kinetic energy of the ball = 48 J.

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Economic activity is driven by self-interest, and competition helps to drive down costs and increase the quality, diversity, and creativity of goods and services.

Seeking your own personal gain is the definition of self-interest. You attend work in order to earn money to spend on the things you want. You attend school so that after you graduate, you'll be able to find a better career and get more money to spend on the things you desire.

Pick some fresh endeavors that promote goodwill in your career, family, and leisure life. Likewise, be adamant in your actions. When appropriate, communicate your thoughts and feelings to others by asking for what you want, declining what you don't want, and saying No to requests. For a while, make it a point to treat yourself to something every day.

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The energy that is not transferred into the electrical grid is lost as heat as it moves from system to system.

The electricity that is produced in power stations reach the consumers through a complex system of electric cables and grid. The grid usually means transformers which is used to step up and step down the voltage when necessary.

The first transformer from the power plant steps up the voltage of the current for the purpose of long distance transmissions. Before entering the household another transformer steps down the voltage to avoid short circuiting the electrical appliances. During all these processes the current is carried through electrical lines. Due to its contact with the atmosphere some energy is lost has heat in the air.

Therefore, the energy that is not transferred into the electrical grid is lost as heat as it moves from system to system.

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The linear speed of the basketball at the bottom in m/s is 37.41 m/s.

The mechanical energy basket ball is conserved and the basket ball starts from rest. and roll down a hill of height 70m.

If mechanical energy is conserved,

Potential energy at top + kinetic energy at top = potential energy at bottom + kinetic energy at bottom.

At bottom, there is no potential energy, and at top, there is no kinetic energy.

Potential energy at top = kinetic energy at bottom.

Mgh = 1/2Mv²

M is the mass of the basketball,

v is the linear speed at the bottom,

h is the height of the ball.

Putting values,

v = √(2gh)

v = √(2x10x70)

v = 37.41m/s.

The speed of the basketball at the bottom is 37.41 /s.

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To learn series and parallel circuits, to know the some appliances in your kitchen receive power while others do not.

What is series circuits?

A series circuit is an easy way for electrons to travel to one or more resistors. Anything that depends on a cell for power is a resistor. A bulb frequently serves as the resistor in a series circuit.

What is parallel circuit?

Branching is used in a parallel circuit so that the current is divided and only a portion of it passes through each branch. In a parallel circuit, the voltage, or potential difference, across each branch is the same, but the currents may differ.

While plugged in, a range of various electronic equipment and appliances, such as televisions, toasters, lamps, and more, can use electricity even when they're off.

Therefore, known the series and parallel circuits, the some appliances receive powers.

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Using the concepts of motion, we got that Ma is the force exerted on the  passengers inside the car when a  car traveling with a constant velocity quickly comes to rest.

We know very well that according to newton second law of motion,

if a moving object is moving with some velocity v at any particular time t, then there is force acting on that object and that force is given by

F= dp /dt,

where dp is defines as change in momentum of the object. In other words,

dp=M×([tex]v_f_i_n_a_l[/tex] - [tex]v_i_n_i_t_i_a_l[/tex])

where [tex]v_f_i_n_a_l[/tex] and v[tex]_i_n_i_t_i_a_l[/tex] are the velocities of the object in different time.

So suppose car has some mass M kg

It is given that final velocity of the object is =0 as the car comes to rest,

suppose initial velocity is v

Therefore, F=[M×(0-v)]/t

=>              F= -M×(v/t)

=>              F= -Ma because acceleration =velocity/time

Here negative sign shows that force acts on the person in opposite direction of frictional force applied by the road.

Hence, when a car traveling with a constant velocity quickly comes to rest. while slowing down, the passengers inside the car are pushed forward by the force - Ma.

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Work done by the sprinter in first 2.5 s will be 702.699 J.

Work done is the product of force and distance covered.

Mass of the sprinter = 58 kg

Distance covered by the sprinter = s = 60 m

Total time taken by the sprinter = t = 7.8 s

u = initial velocity = 0

a = constant acceleration

60 =  [tex]\frac{1}{2}a7.8^{2}[/tex]

60.84 a = 60 * 2

a = 1.97 [tex]m/s^{2}[/tex]

For a = 1.97 [tex]m/s^{2}[/tex] and t = 2.5 s

d =  [tex]\frac{1}{2}at^{2}[/tex]

Here also u is '0' because the distance is being measured from the starting point.

d = [tex]\frac{1}{2} *1.97*(2.5)^{2}[/tex]

d = 6.15 m

Work done by the sprinter = F * d

Force = mass * acceleration

F = 58 * 1.97

F = 114.26 N

distance for first 2.5 sec is 6.15 m

Therefore Work done = 6.15 * 114.26

W = 702.699 J

Work done by the sprinter is 702.699 J.

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Answer:its b

Explanation: i took the test

Answer:A.

i know its a, i did quiz

The angle of just resolution light from two stars is greater if the light of the average star is red or if it is blue.

The formula to find the aperture of the telescope

D = 1.22λ/dФ

Limits of resolution:

The limit of resolution is a measure of the ability of the objective lens to separate in the image adjacent details that are present in the object.

There is diffract in the light when it passed through space and gets bent around obstacles. Diffraction grants disperse light according to wavelength, for example, it can be used to produce spectra.

Therefore an astronomical telescope is used to view distant stars. The angle is greater if the light of the average stars is red or if it is blue.

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Capacitance, charge and electric potential will be greater than the capacitor without the dielectric.

Capacitance is the a property of an electric conductor or set of conductors that is measured by the amount of separate electric charge that can be stored on it per unit change in electric potential.

The value of capacitance for the parallel plate is C = (3∈0AK)/d

Since two identical, parallel-plate capacitors are connected

therefore the value of capacitance for both the plate is C

Ceq. = (C1*C2) / C1 + C2 = C*C / C+C = C2

When the battery remains connected, the potential difference [V] remains constant

Q=CV

∴Cafter>Cbefore [C increased]

∴Qafter>QBefore [Q increased]

Potential difference and charge across the capacitor before the dielectric:

Qbefore = [tex]\frac{CV}{2}[/tex]

Vbefore = Vafter = V

Potential difference and charge on the capacitor after inserting the dielectric:

Qafter = Ceq*V = [tex]\frac{kCV}{k+1}[/tex]

Vafter = Q*After / KC =  [tex]\frac{\frac{kCV}{k+1}}{kc}[/tex]

Vafter=  [tex]\frac{V}{k+1}[/tex]   [K>1]

[Hence V decreases]

Vbefore > Vafter

Also,  E = [tex]\frac{V}{d}[/tex]

therefore [E]before > [E]after [E decreases]

Energy stored in the capacitor:-

U=[tex]\frac{1}{2} CV^{2}[/tex]

As V= constant

Cafter > Cbefore .

Hence Uafter > Ubefore

Thus, the electrostatic potential increases.

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On a wet road, a higher coefficient of friction on the tires is safer as compared to a lower coefficient of friction.

Friction is defined as a force that resists the sliding or rolling of one object over another object. The coefficient of friction refers to a measure of the amount of friction present between two surfaces. When you calculate a coefficient of friction, you're calculating the resistance to motion at the interface of two surfaces of materials.

On dry surfaces, you have a high coefficient of friction of about 0.9, but driving on wet roads would be dangerous because the wet road coefficient is very low about 0.1.

So we can conclude that a higher coefficient of friction is recommended for a safe journey.

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The induced current flows the other way around. The electromagnet is closed when the switch is turned on. which way the wire loop's induced current is flowing as soon as the switch is closed.

The current that results from electromagnet induction is known as the induced current. The production of electric power relies heavily on electromagnet induction. Lenz's law, which states that the magnetic field produced by induced current opposes the magnetic field initially created by changing induced current, can be used to determine the direction of induced current.

A magnet type known as an electromagnet is one in which an electric current creates the magnetic field. Wire wound into a coil typically makes up electromagnets.

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.

If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.

The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.

The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.

The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.

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The parallel component of the total weight is 320 N.

The perpendicular component of the total weight is 554.3 N.

The components of the total weight of the builder and new roof tiles can be parallel component or perpendicular component.

The parallel component of the total weight of the builder and new roof tiles is calculated as follows;

Fn ( parallel ) =  W sin ( θ )

where;

Fn ( parallel ) =  W sin ( θ )

Fn ( parallel ) =  640 sin ( 30 )

Fn ( parallel ) = 320 N

The perpendicular component of the total weight of the builder and new roof tiles is calculated as follows;

Fn ( parallel ) =  W cos ( θ )

where;

Fn ( perpendicular ) =  W cos ( θ )

Fn ( perpendicular ) =  640 cos ( 30 )

Fn ( perpendicular ) = 554.3 N

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0.88m to the left, where the 4.0 kg cat must be to keep the seesaw balanced.

The concept of Torque and the principle of moment are applied here to understand that the 4.0 kg cat and the bowl of tuna fish will balance the seesaw as long as the 4.0 kg cat stays on the left of the pivot.

m (big cat) = 5.4 kg

m (bowl) = 2.4 kg

m (small cat) = 4.0 kg

From the figure,

5.4 kg x (x m) = 2.4kg x (2m)

x = 4.8 / 5.4

=> 0.88m

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If I increases the string length, the frequency will decreases and vise versa.

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

For string wave, we know that,

frequency, n = [tex]\frac{1}{lD}[/tex][tex]\sqrt{\frac{T}{\pi \rho} }[/tex]

where, l = length of the string.

D = diameter.

T = tension

ρ = density of the material.

Hence, we can see that, frequency of the wave is inversely proportional to the length of the wire. So, on increasing string length, frequency of the wave will decreases.

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