A liquid (rho = 1.65 g/cm3 ) flows through two horizontal sections of tubing joined end to end. in the first section, the cross-sectional area is 10 cm2 , the flow speed is 275 cm/s, and the pressure is 1.20x105 pa. in the second section, the cross-sectional area is 2.50 cm2 . calculate the smaller section’s (i) flow speed and (ii) pressure.

Explanation:

P=W/t

P=500/20

P=25 W

The forces exerted by the pillars when a 90.0 kg diver stands at the far end of a 5.00 m long diving board with a mass of 6.6 kg supported by two pillars, one at the left end of the diving board, and the other 1.50 m away are 512 N and 490 N. Here options B and D are correct.

The answer to the first question is B) Counterclockwise. This is because the force applied by the adult is not directly over the pivot point, so it creates a torque that causes the teeter-totter to rotate in the counterclockwise direction.

To answer the second question, we can use the principle of torque equilibrium, which states that the sum of the torques acting on an object must be zero for it to be in rotational equilibrium. In this case, we can consider the diving board and the diver as a system.

When the diver stands at the far end of the board, the board experiences a torque due to the weight of the diver, which is given by:

τ = F × d

where F is the weight of the diver, and d is the distance from the pivot point to the point where the weight acts. Since the weight of the diver is acting downwards, the torque is acting in the clockwise direction.

At the same time, the two pillars are exerting forces on the board to support its weight and the weight of the diver. Let's call the force exerted by the pillar at the left end of the board \(F_1\), and the force exerted by the pillar 1.50 m away \(F_2\). Since the board is in static equilibrium, the sum of the forces acting on it must be zero. This gives us:

\($F_1 + F_2 - F_g = 0$\)

where \(F_g\) is the weight of the board, including the weight of the diver We can solve for \(F_1\) and \(F_2\) by considering the torque equilibrium equation:

\($\tau_1 + \tau_2 - \tau_g = 0$\)

\($\tau_1 = F_1 \times 0 = 0$\)

\($\tau_2 = F_2 \times 1.50 \text{ m}$\)

Substituting these values and the torque due to the weight of the board and the diver into the torque equilibrium equation, we get:

\($F_2 \times 1.50 \text{ m} - (90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 \times 2.50 \text{ m} = 0$\)

Solving for F2, we get:

\($F_2 = \frac{(90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 \times 2.50 \text{ m}}{1.50 \text{ m}} = 512 \text{ N}$\)

Substituting this value of \(F_2\) into the equation for the sum of the forces, we get:

\($F_1 + 512 \text{ N} - (90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 = 0$\)

Solving for \(F_1\), we get:

\($F_1 = (90.0 \text{ kg} + 6.6 \text{ kg}) \times 9.81 \text{ m/s}^2 - 512 \text{ N} = 490 \text{ N}$\)

Therefore, the forces exerted by the pillars are 490 N and 512 N, which is option D) 512 N and 490 N.

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Complete question:

Which direction does a teeter-totter rotate when an adult applies a force of 95 N at a distance of 2m from the pivot?

A) Clockwise

B) Counterclockwise

C) It does not rotate

D) Cannot be determined

What are the forces exerted by the pillars when a 90.0 kg diver stands at the far end of a 5.00 m long diving board with a mass of 6.6 kg supported by two pillars, one at the left end of the diving board, and the other 1.50 m away?

A) 675 N and 327 N

B) 327 N and 675 N

C) 490 N and 512 N

D) 512 N and 490 N

The option with the least acceleration is c. An empty shopping cart pushed with a light force.

Acceleration depends on the force applied and the mass of the object being pushed. An empty shopping cart has a lower mass than a full shopping cart, and a light force will result in a smaller acceleration than a hard force. Therefore, an empty shopping cart pushed with a light force will have the least acceleration.

An oscilloscope is a sort of digital test tool that graphically displays various electrical voltages as a -dimensional plot of 1 or greater alerts as a characteristic of the time.

An oscilloscope is a laboratory instrument generally used to display and examine the waveform of digital indicators. In impact, the device attracts a graph of the immediate sign voltage as a feature of the time.

The oscilloscope is largely a graph-showing device - it attracts a graph of an electrical sign. In maximum packages, the graph suggests how indicators change through the years. The vertical (Y) axis represents voltage and the horizontal (X) axis represents time.

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Increasing the amplitude by a factor of four times doubles the energy of a simple harmonic oscillator.

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude compared with a reference value. There are various definitions of amplitude, which are all functions of the magnitude of the differences between the variable's extreme values.

Simple harmonic oscillator is an oscillator that is neither driven nor damped. It consists of a mass m, which experiences a single force F, which pulls the mass in the direction of the point x = 0 and depends only on the position x of the mass and a constant k.

A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling.

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a) The motion of the motorcyclist is a uniform motion

b) The distance is 600 m

c) The speed is 20 m/s.

We now that motion has to do with the change in the position of an object with time. In this case, we have the graph that described the motion of the motorcyclist . It is clear that the distance is increasing in equal amounts, in equal time intervals thus this is a uniform motion.

Looking at the graph, we can see that the motorcyclist covers 600 meters of distance within 30 seconds.

We can obtain the speed as the ratio of the distance to the time or the slope of the graph. Hence the speed is obtained from;

Speed = distance / time

Using the slope concept;

\(y_{2} - y_{1} /x_{2} - x_{1}\)

= 600 - 0/30 - 0

= 20 m/s

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Wavelength (λ) refers to the distance between two consecutive points of a wave. It is commonly measured as the distance between two consecutive peaks or troughs of a wave. In physics, wavelength is often denoted in meters (m) or its subunits such as nanometers (nm) or angstroms (Å).  The wavelength (λ) in nm for light with a photon energy (photon) of 2.5 eV is approximately 495 nm. and The photon energy for light with a wavelength (λ) of 470 nm is approximately 2.64 eV.

a) The wavelength (λ) in nm for light with a photon energy (photon) of 2.5 eV is approximately 495 nm.

The relationship between photon energy and wavelength can be determined using the equation

\(\text{E} = \frac{hC}{\lambda}\) where E is the energy of a photon, h is Planck's constant (approximately \(4.1357 \times 10^{(-15)} eV\times s\) ,

c is the speed of light (approximately  \(2.998 \times 10^8 m/s\)  and λ is the wavelength of the light.

By rearranging the equation, we can solve for λ:

\(\lambda = \frac{hC}{E}\). Plugging in the values,

we get :

\(\[\lambda = \frac{{4.1357 \times 10^{-15} \, \text{eV} \cdot \text{s}} \times {2.998 \times 10^8 \, \text{m/s}}}{{2.5 \, \text{eV}}} \approx 495 \, \text{nm}.\]\)

b) The photon energy for light with a wavelength (λ) of 470 nm is approximately 2.64 eV.

To find the photon energy, we can use the equation \(E = \frac{hC}{\lambda}\), where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

By rearranging the equation, we can solve for  \(E = \frac{hC}{\lambda}\) . Plugging in the values,

\(\[E = \frac{{4.1357 \times 10^{-15} \, \text{eV} \cdot \text{s}} \times {2.998 \times 10^8 \, \text{m/s}}}{{470 \times 10^{-9} \, \text{m}}} \approx 2.64 \, \text{eV}.\]\)

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Answer:

Any material that has ferromagnetic property

Explanation:

Materials such as  iron, nickel or cobalt are ferromagnetic element as they behave as small magnets in the presence of moving electric charge or static magnetic field.

When an external magnetic field is applied these ferromagnetic material align in a way that they contribute to produce a stronger magnetic field in the material and remain aligned even after removal of the external magnetic field.

Answer:

Explanation:

Radius of first spherical ball =

2

2

​

cm=1cm

Radius of second spherical ball =

2

2

3

14.5

​

​

cm=

3

14.5

​

cm

Let the radius of the third ball be r cm.

Radius of the main spherical ball =

2

5

​

cm=2.5cm

Volume of main spherical ball = Volume of spherical ball  1+Volume of spherical ball 2+ Volume of spherical ball 3

Volume of a sphere =

3

4

​

πr

3

So,  

3

4

​

π×2.5

3

=

3

4

​

π1

3

+

3

4

​

π(

3

14.5

​

)

3

+

3

4

​

πr

3

⇒2.5

3

=1

3

+(

3

14.5

​

)

3

+r

3

⇒r

3

=15.625−1−14.5

⇒r

3

=0.125=0.5×0.5×0.5

⇒r=0.5

Lithium (Li), sodium (Na), potassium (K), rubidium (Rb), and cesium (Cs) are grouped together in the same row of the periodic table, specifically in Group 1 or the alkali metals.

Mendeleev organized the periodic table based on the chemical and physical properties of elements. The elements in Group 1, including lithium, sodium, potassium, rubidium, and cesium, share common characteristics that led to their grouping.

They are all highly reactive metals and have a single valence electron in their outermost energy level, which makes them prone to losing that electron and forming a positive ion with a +1 charge. These elements also display similar trends in atomic radius, ionization energy, and reactivity with water.

By grouping these elements together, Mendeleev highlighted their shared characteristics and allowed for a systematic arrangement of elements based on their properties. This organization was essential in predicting the existence and properties of yet-to-be-discovered elements and contributed to the development of the periodic law.

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Answer: t=10s

Explanation:

v=u+at

⟹0=30+(−3)×t

⟹0=30−3t

⟹3t=30

⟹t=303

⟹t=10s.

Answer:  \(135.48\ m/s^2\) ,\(13.82g\)

Explanation:

Given

Missile velocity raises from 0 to \(8.4\ km/s\)

Time taken \(t=62\ s\)

Convert velocity into m/s

\(\Rightarrow 8.4=8.4\times 1000=8400\ m/s\)

Acceleration is the change of velocity w.r.t time

\(\Rightarrow a=\dfrac{8400-0}{62}\\\\\Rightarrow a=135.48\ m/s^2\)

In terms of gravity, it is

\(\Rightarrow \dfrac{135.483}{9.8}=13.82\)

Therefore, acceleration in terms of g is \(13.82g\)

10.012ml is the actual volume of water measured out.

What does the word "volume" mean?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Typically, there are two forms of density: absolute density and relative density. The ratio of a substance's density to the density of a reference material is known as its relative density, sometimes referred to as specific gravity. Water is frequently used as the reference material.

D ⇒ M/V

V ⇒ M/D

M ⇒ 9.990g

D⇒ 0.9978g/ml

V ⇒ 9.990/0.9978 ⇒ 10.012ml

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