Complete the following statement: when a net torque is applied to a rigid object, it always produces a.

The velocity with which the objects move together after the collision is 5.604 m/s

State the the law of momentum conservation.

The following is an explanation of the law of momentum conservation.

The bullet and the block have the same speed after colliding, therefore we utilize momentum conservation and account for that.

mv1_i + Mv2_i = mv1_f + Mv2_f

Given values from the question,

Mass of bullet = m =25 g = 0.025 kg

Mass of wooden block = M = 35 kg

Initial speed of bullet = v1_i = 250 m/s

Putting the values in the momentum conservation equation,

mv1_i + 0 = (m + M) V

0.025 x 250 = (0.025 + 35) V

V = 35.025 / 6.25

   = 5.604 m/s

Hence,  the velocity with which the objects move together after the collision is 5.604 m/s

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It will be 10.3% (D) of a block of wood will be submerged if placed in water based on the density of wood given.

Density is the substance's mass per unit of volume. The symbol most often used for density is ρ.

How to calculate the block of wood percentage that will be submerged in water?

Density of water = 1000 kg/m³

Density of the wood = 103kg/m³

If V be the volume of the wood and x be the volume of the wood inside the water then
Vρwood*g = Vρw*g
[tex]\frac{x}{v} = \frac{103}{1000}[/tex]

Percentage of volume of the wooden block submerged in the water is
[tex]\frac{x}{v}*100 = \frac{103}{1000} * 100[/tex]
= 10.3%

So 10.3% will be the percentage of a block of wood that will be submerged if place in water, and the answer is D.

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The pressure on the bottom of the pool due to the water is 22540pa.

What is density?

A substance's density determines how closely it can be packed. The definition of it is the mass per unit volume. The formula for density is D = m/V, where D stands for density, m for mass, and V for volume, which stand in for the object's mass and volume, respectively.

What is volume?

Volume is simply the quantity of space that a three-dimensional solid occupies. One of these solids can be a cube, a cuboid, a cone, a cylinder, or a sphere.

volume of water : 10*8*2.3m³

mass of water = density of water*volume

1000 kg/ m³* 1.84 m³

184000 kg

force extracted by water on the bottom surface = mass of water xg

=184000 kg * 9.8m/s²

=1803200N

pressure : force / area

1803200N/80m²

=22540Pa

Therefore,  pressure on the bottom of the pool due to the water is 22540pa.

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The color spectrum emitted by the bulb as the resistance of the circuit is increased is red.

Rt - Ro =  1 + α ΔT

Rt = Final resistance

Ro = Initial resistance

α = Coefficient of resistivity

ΔT = Change in temperature

Rt - Ro ∝ ΔT

Therefore, resistance is directly proportional to temperature.

As resistance increase, temperature also increases. As temperature increase, the molecules will vibrate faster and the wavelength will be shorter and the frequency will be higher. Since red has the shortest wavelength in the visible spectrum, the bulb will appear red.

Therefore, the color spectrum emitted by the bulb as the resistance of the circuit is increased is red.

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As she crosses the highest point of her motion, the person appears to weigh 460 N.

In physics, an object's apparent weight, which reflects its actual weight, is a characteristic. When an object's force of gravity is not counterbalanced by a normal force that is equal to but opposed to it, the apparent weight of the object will differ from the actual weight of the object. An object's weight is equal to the strength of the gravitational force pulling on it by definition.

Given,

The radius of the wheel, r = 5.0 m

Time, t = 8.0 s

And the weight of the person, W = 670 N

The following formula is used to determine the person's apparent weight as she crosses the highest point of her motion:

R=m(g-a)

Let the mass of the person is,

m=W/g

m=670/9.8

m=68.37kg

Now, we have to calculate the acceleration of a person,

a=(ω²)r

a=((1rev/8s)×(2Πrad/1rev))×5m

a=3.08 m/s²

Therefore, the apparent weight is calculated as follows:

R=68.37(9.8=3.08)

R=460N

As a result, the person appears to weigh 460 N as she crosses the highest point of her motion.

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The torque on the beam calculated from the principle of moments is 68 N to the right.

The torque on the beam is calculated using the principle of moments.

The principle of moments states that the sum of the clockwise moments is equal to the sum of the anticlockwise moments about a fixed point for a system in equilibrium.

Moment = force * perpendicular distance from the fulcrum

Taking the left end of the beam as the anticlockwise direction ad the right end of the beam as the clockwise direction:

Anticlockwise moment = F * (0.75 - 0.25)

Where F is the balancing force

Anticlockwise moment = 0.5f

Clockwise moment = (0.77 * 9.8) * (0.75 - 0.3)

Clockwise moment = 34 J

0.5 F = 34

F = 68 N

Hence, torque is 68 N

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Color is the term found in the electromagnetic spectrum is determined by its wavelength.

Radio waves, gamma-rays, visible light, and all the other elements of the electromagnetic spectrum are electromagnetic radiation. Electromagnetic radiation can be defined in phrases of a movement of mass-much less particles, called photons, each visiting in a wave-like pattern at the velocity of light.

Wavelength is the space from one point on a wave to the same point on the subsequent wave. Frequency is the range of waves that skip through a factor in a 2d. Chemistry Interaction of light with count number.

The wavelength of light is an essential property for it's miles this that determines the character of the light. pink light has a distinctive wavelength to that of blue mild and green mild has a specific wavelength from each of them.

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Answer:

has 5 protons and the atomic numb is 5

Explanation:

atomic number = protons number

they're equal

Answer:An atom consists of a central nucleus that is surrounded by one or more negatively charged electrons. The nucleus is positively charged and contains one or more relatively heavy particles known as protons and neutrons.

Explanation:

W-weighted person standing in an escalator that is descending quickly. The person is subjected to an upward force of N from the elevator floor. (Reply N=W.)

A vehicle that travels in a mine shaft to transport people or cargo between floors of a multi - storey building is an elevator, also known as a lift. The majority of contemporary elevators are moved by electric motors through a network of cables & sheaves with the help of a counterweight (pulleys).

The word "elevator" is really the name of the a lift manufactured by a firm in the US. People began to refer to elevators as elevators since the company  was just so successful and put them in so many locations.

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A sarcomere will produce its greatest amount of active force at a resting size of 1. 7 um rather than 2. 15 um.

Sarcomeres are referred to as the basic contractile unit or muscle fiber. The two main protein filaments that make up each sarcomere and are responsible for triggering muscle contraction are myosin and actin. The most popular idea cited to explain how muscles contract is the hypodermic needle theory.

The Function of Sarcomeres

Muscle cells can be observed to have stripes-like striations under a microscope. This pattern is made up of a collection of basic muscle tissue units called sarcomeres that are stacked one on top of the other.

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Answer: -8.66 m/s2 (down)

Explanation:

Find the mass of the boulder:

F = ma

m=F/a = -3125N/9.8 m/s2 = 325 kg

F net = -3125 N + 370 N = -2815 N

now you can find a:

a = F/m = -2185 N / 325 kg = -8.66 m/s2

The speed of ball when the catcher catches it is 120km/h.

Speed is the rate of change of displacement with respect to time.

In this case, if the acceleration is constant, use the third equation of motion to determine the initial and final velocities.

The third equation of motion is

v² - u² = 2gS

where v---> final velocity

u---> initial velocity

g---> gravitational acceleration

S---> height

Given Data:

Initial Velocity of the Ball (u) = 120 km/h

Initially the ball is moving up, so the acceleration of the ball is g = - 9.81 m/s²

The final velocity of the ball is v = 0 m/s

The height of the ball above the ground can be calculated by using above formula

0 - (120×5/18 m/s)^2 = 2× (-9.81 m /s²) × S

=> S = 56.7 m

When the ball is above the hit point, the initial velocity of the ball at this point is u = 0 m/s.

Using above relation we can calculate the final velocity,

56.7 × 2 × (9.81) = v²-0 = v²

=> v² = 1112.45 m/ s => v= 33.45 m/ s

or v = 120 km/h.

Therefore the velocity of the ball when caught by the catcher is 120 km/h.

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The electric charge the capacitor store now is  0.065 C.

What is a capacitor?

A capacitor is a device that uses the accumulation of electric charges on two nearby surfaces that are electrically isolated from one another to store electrical energy in an electric field. It has two terminals and is a passive electrical component. referrer=search Results refers to a capacitor's effect. Initially when switch S is open for a long time the charge stored on the capacitor is given by the following equation.

The solution to this question is too large so I am adding this screenshot kindly check the attachment:

Now final charge on the capacitor after closing the switch for a long time

Q = CE

Q = 3.65*10^{-3}*17.76= 0.065 C

Hence, the electric charge the capacitor store now is  0.065 C.

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The vast size of our solar system makes it impossible for a large, civilization-threatening asteroid or comet to collide with earth is the False statement.

Small, stony objects called asteroids orbit the Sun. Despite orbiting the Sun similarly to planets, asteroids are far smaller than planets. Small, stony objects called asteroids orbit the sun.

Large ice and dust-based bodies known as comets orbiting the Sun. Most recognisable for their lengthy, streaming tails.

Comet or large, civilization-threatening asteroid has nothing to do with the vastness of solar system in effecting the earth from damage to the human race or to destroy it completely.

Civilization-threatening asteroid or comet large enough to do serious damage to the human race will eventually collide with Earth even if the solar system is very vast.

Hence, the vast size of our solar system makes it impossible for a large, civilization-threatening asteroid or comet to collide with earth is the False statement.

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A box of mass 3 kg is lifted 1. 5 m onto a shelf. The change in its gravitational potential energy is 45 Joule.

The change of gravitational potential energy is equal to the work done on the box.

ΔEp = W

Where:

ΔEp = change of gravitational potential energy

W = work done

W = F x d

Where
F = force

d = distance

From the problem,

F = 3 kg x 10 N/kg = 30 N

d = 1.5 m

Hence,

W = 30 x 1.5 = 45 Joule

Therefore, the change of the gravitational potential energy is:

ΔEp = W = 45 Joule.

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Answer:

E = h ν

E = 6.63E-34 * 2.77E20 = 1.84E-13     energy of incident beam

1 eV = 1.60E-19      10 eV = 1.60E-18 Joules

n = 1.84E-13 / 1.60E-18 = 1.15E5

n = 1.15

Answer:

Approximately [tex]0.64\; {\rm s}[/tex].

Velocity: approximately [tex]6.3\; {\rm m\cdot s^{-1}}[/tex].

(Assuming that air resistance is negligible, and that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] assuming that the fall started from rest.)

Explanation:

If air resistance is negligible, acceleration will be constantly [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex] during the fall.  

Let [tex]x[/tex] denote the displacement. In this question, [tex]x = (-2.0)\; {\rm m}[/tex]. Note that [tex]x[/tex] is negative since the position after the fall is below the initial position.

The initial velocity at the beginning of the fall is [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex] under the assumptions.

Let [tex]v[/tex] denote the final velocity right before landing. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find [tex]v\![/tex]. Rearrange this equation to obtain:

[tex]\begin{aligned}v &= \sqrt{2\, a\, x + u^{2}} \end{aligned}[/tex].

Substitute in [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex], [tex]x = (-2.0)\; {\rm m}[/tex], and [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex] and solve for [tex]v[/tex]

[tex]\begin{aligned}v &= -\sqrt{2\, a\, x + u^{2}} \\ &= -\sqrt{2 \,((-9.81)\; {\rm m\cdot s^{-2}}) \, ((-2.0)\; {\rm m}) + (0\; {\rm m\cdot s^{-1}})^{2}} \\ &= \left(-\sqrt{2 \, (-9.81)\, (-2.0)}\right)\; {\rm m\cdot s^{-1}} \\ &\approx (-6.26)\; {\rm m\cdot s^{-1}} \\ &\approx (-6.3)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Negative since the final velocity points downwards to the ground.)

In other words, the velocity right before landing would be approximately [tex](-6.3)\; {\rm m\cdot s^{-1}}[/tex].

The change in velocity during the fall would be:

[tex]\begin{aligned}v - u &\approx (-6.26)\; {\rm m\cdot s^{-1}} - (0\; {\rm m\cdot s^{-1}}) = (-6.26)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

Divide the change in velocity by acceleration to find the duration [tex]t[/tex] of the fall:

[tex]\begin{aligned}t &= \frac{v - u}{a} \\ &\approx \frac{(-6.26)\; {\rm m\cdot s^{-1}}}{(-9.81)\; {\rm m\cdot s^{-2}}} \\ &\approx 0.64\; {\rm s}\end{aligned}[/tex].

When an object is placed on the surface of two planets that have the same mass but are very different in size, then the the object would experience a greater gravitational pull on the smaller planet.

What is the weight of an object and what is acceleration due to gravity?

Weight of an object:

        W = mg

Where;

The object's mass is m.

Gravitational acceleration, or g, is measured.

Acceleration due to gravity, g:

The square of the distance from the planet's core and the acceleration caused by gravity, or g, are inversely proportional. Likewise, if there were two planets with the same mass but different sizes. Take into account the fact that planet A's radius is smaller than planet B's radius. This implies that the planet A's g will be higher than the planet B's g. Since the object's mass is constant, the weight of the object on planet A will be higher than the weight of the object on planet B.

Hence, The object would experience a greater gravitational pull on the smaller planet.

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The joules carrier by an electron volt will be = 1.602 x 10-19 J

What do you mean by electric potential?

Electric potential can be defined as  the amount of work which is needed to move an unit charge from a reference point to a specific point against an electric field.

It can be calculated by the given formula

V=kQ/r or V = k Q / r . It  is a scalar quantity while the electric field is a vector.

Uses of Electric Potential.

Hence, in the above question the joules carrier by an electron volt will be = 1.602 x 10-19 J.

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Magnetic field - You would need N = 3032 of wire.

What is a magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is traveling through a magnetic field.

As seen in the following equation, a solenoid's magnetic field is
B = μ₀ n I

where n is the turn density, I is current and has a permittivity in a vacuum of 4 107 N/A2.

Let's use this equation to solve the issue; in this case, the length of the magnet is the unit of length, and the turn density is the number of turns per unit length.

L = 8 cm = 0.08 m
Let's compute.
B = μ₀ N/L I
N = B L / μ₀ I
N = 0.10 0.08 / (4π 10⁻⁷ 2.1)
3,032 103 turns,

Hence, the number of turns is 3032.
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The train's displacement from point A when it reaches point C = 1800m

The train's displacement from point A when it reaches point B =1800m

The train accelerate each time its speed change =1 m/s² and -0.5 m/s²

a.  Plot of graph is mentioned in the image .

b.  Now from the plot -

[tex]Area \\of\\Triangle = [ base * height ]/2\\[/tex]                                                                                  

[tex]S= [ 20 *20 +60*20 +40*20 ]/2 = 1800 m[/tex]

These are the sums of the areas on the graph from t=0 to t=120.

     2. Since the train was at rest from point C till point B, the displacement remains the same -

S=1800m

     3.  To  calculate the value of acceleration:-

[tex]0 < t < 20 ---------- > a= 20m/s / 20 s =1m/s^{2} \\[/tex]

[tex]80 < t < 120-------- > a=-20ms^-1/40s =-0.5m/s^{2}[/tex]

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To learn the acceleration and velocity to find the solution.

What is acceleration?

The rate at which the speed and direction of a moving object change over time is known as acceleration. Any movement, whether straighter, faster, or slower, is referred to as acceleration. The fact that the direction is constantly shifting causes motion on a circle to accelerate even though the speed is constant.

What is velocity?

The velocity of a body or object determines the direction of its motion. Speed is often measured as a scalar value. The most basic definition of a vector quantity is velocity. It gauges the rate at which a distance varies. It relates to the speed at which displacement is altering.

Initial height = 6ft

initial velocity v₀= 41i+3gj+27k

assume upwards, as +k acceleration

due to gravity= -9.8m/s²k or

=-32ft/s² k

initial height (s₀)= 6k

position of the ball, after t secs

s= s₀+v₀t+1/2a₀t²

s=6k+(41i+3gj+27k) t+1/2(-32k)t²

r(t)=s=41 i+3gtj +(27t-16t²=6)k ⇒ 1

If the ball is catch by a player 6A above ground

s=6k

so comparing with equation 1

6=27t-16t²+6⇒ t(27-16t)=0

t=0 and t=27/6k =1.6875sec

at t=1.6875sec

from equation 1 r(1.675)=s=69.1815i+65.8125j+6k

so( 69.1875, 65.8125,6)

So he is in bound after he catches the ball.

Therefore,  he is in bound after he catches the ball.

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The angle at which a ray of light strikes a pane of window also called angle of incidence is always equal to the angle of reflection i.e. the angle at which it passes out the other side.

What is angle of incidence?

In Physics, on a plane mirror, there is a point of incidence at which the ray of light falls and returns to the same medium after reflection along the normal. as a result of this, an angle is formed which is called angle of reflection. While the angle formed between the normal point and the incident point is called angle of incidence.

Simply put, angle of reflection and angle of incidence are equal to each other.

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The height between high tide and low tide is referred to as the tidal range. tides are the peaks and valleys in sea levels brought on by the gravitational pull of the Moon, Sun, and Earth's rotation.

Tidal range is influenced by time and place. When the gravitational pulls of the Moon and Sun are in harmony, spring tides (spring range) occur, which have a larger tidal range. 0.6 metres (2 feet) is the average tidal range in the open ocean (blue and green on the map on the right). This range increases significantly closer to the coast at gravitational, there are several different coastal tidal ranges that range from almost zero to over 16 metres (52 ft).

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While spinning down from 500. 0 rpm to rest, a solid uniform flywheel does 5. 1 kJ of work. If the radius of the disk is 1. 2 m, its mass will be 28.33 kg

Work done = change in kinetic energy

kinetic energy = 1/2 * I * [tex]omega^{2}[/tex]

since , moment of inertia of disk = m[tex]r^{2}[/tex] / 2

kinetic energy = 1/2 *  m[tex]r^{2}[/tex] / 2  *  [tex]omega^{2}[/tex]

  5100              = 1/4 * m * [tex]1.2^{2}[/tex] * 500

mass = 28.33 kg

If the radius of the disk is 1. 2 m, its mass will be 28.33 kg

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The total open-circuit voltage that is received is 19.41V.

Solution:

RCHP traveling in the z-direction

E = E₁₀ cos(wt - βz) + Ey₀ sin(wt - βz)

E = [tex]\sqrt{E_{y0}^{2} + E^{2} y_{0}[/tex] = [tex]\sqrt{E^{2}_{O} } +E^{2}_{O}[/tex] = [tex]\sqrt{2} .Eo[/tex]

=  [tex]\sqrt{2} Eo = 19.41 = Eo = 19.41[/tex]

Open circuit voltage is the voltage difference measured between two terminals when no current is being drawn or supplied. Short-circuit current is the current that flows when the voltage difference between terminals is forced to zero. No current flows in the circuit, but there is a voltage drop between the two points.

As a result, in an open circuit, the current through it is zero but the voltage is present. The current becomes zero and the power equals VI. When an open circuit is introduced, current flow through the circuit is interrupted. The voltage drop across each resistive element is zero when no current is flowing. However, the source potential difference appears to be open.

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Select the rate law that best explains this reaction: Rate = k  we discovered that the dissociation of phosphonate occurs in the first order, which exhibits the linear relationship between the pressure and time.

People are only slightly to moderately toxic to phosphonates. If phosphonates are consumed, they are quickly removed from the body through feces because they are not swallowed up either by digestive system. Due to the limited likelihood that phosphonates will build up in the body, ingestion through the epidermis is similarly unlikely to be harmful.

On Earth, Jupiter, plus Saturn, scientists have found the chemical molecule phosphonate. It is made up of three hydrogen atoms and one phosphorus atom. It happens frequently on gas giants alone, when both of the atmospheres are drenched in hydrogen.

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The role of ATP and NADH in the model is that the ATP is used to synthesize NADH in one step of the chain.

ATP is an organic substance that supplies energy to several functions in living cells, including muscular contraction, nerve signal propagation, condensate dissolving, and chemical synthesis. ATP is the molecular unit of currency of intracellular energy transfer and is found in all known forms of life. When it is utilized in metabolic processes, it either changes to adenosine diphosphate (ADP) or adenosine monophosphate (AMP) (AMP). Other processes recycle ATP. Every day, the human body recycles its own body weight equal in ATP. It is also a coenzyme and a precursor of DNA and RNA. So, ATP is used to synthesize NADH in one step of the chain.

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Answer: velocity

Explanation:

Your slope is calculated as [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{displacement}{time}[/tex], which equals velocity.

The percentage error of Jocelyn's estimate is 2.135%

Estimated measurement of wood by Jocelyn = 5.5 cm

Actual measurement of wood = 5.62 cm

error value in calculation = 5.62-5.5 = 0.12 cm

Percentage error = (estimated number - actual number) / (actual number) * 100 = (0.12/5.62)*100

= 2.135 %

What is percentage-

% in mathematics is a quantity or ratio that is stated as a fraction of 100  Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it lacks dimensions and has no associated unit of measurement.

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