Question 1 of 32
Evaluate sin(55°).

Answer:

Greater gravity compresses the gas, making it denser and hotter, so the outward pressure increases. In any given layer of a star, there is a balance between the thermal pressure (outward) and the weight of the material above pressing downward (inward). This balance is called hydrostatic equilibrium.

The final velocity of the block A will be 2.5 m/sec. The principal of the momentum conversation is used in the given problem.

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

In a given concern, mass m₁ is M, mass m₂ is 3M. Initial speed for the mass m₁ and  m₂ will be u₁=5 and u₂=0 m/s respectively,

According to the law of conservation of momentum

Momentum before collision =Momentum after collision

m₁u₁+m₂u₂=(m₁+m₂)v

M×5+3M×0=[M+3M]v

The final velocity is found as;

V=51.25 m/s

The velocity of block A is found as;

[tex]\rm V_f=\frac{(m_1-m_2)u_1}{m_1+m_2} +\frac{2m_2u_2}{m_1+m_2} \\\\ V_f=\frac{(M-3M)5+2\times3M\times0}{m_1+m_2} \\\\ V_f=2.5 m/s[/tex]

Hence, the final velocity of the block A will be 2.5 m/sec.

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Answer:

the easy way to describe this is to use a light as an example.

Explanation:

Voltage is pretty much the loop used to help use a lightbulb to emit light. Without voltage, we would be unable to use lightbulbs. This applies to much more than a lightbulb, but it's the easiest way to describe how voltage works.

Nuclear fusion and fission involve changes in the nucleus of atom, but nuclear fission is  most  in employed nuclear power plants around the world whereas fusion occurs on the sun.

Nuclear fission is a reaction in which the nucleus of large atoms are split into nuclei of two or more smaller atoms.

Nuclear fusion is a reaction in which nuclei of two or more smaller atoms are combined to give an atom of larger nucleus.

Large amounts of energy are involved in both reactions.

The Sun produces energy by nuclear fusion.

However, the most commonly employed method in nuclear power plants is nuclear fission because the necessary conditions required for nuclear fusion have not being developed currently.

Therefore, nuclear fusion and fission involve changes in the nucleus of atom, but nuclear fission is  most  in employed nuclear power plants around the world whereas fusion occurs on the sun.

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Out of the given equations,

241Am 23Np + 4He

18F → 180+ °C

14C → 14N+_e

152 Dy → 15. Dy+y

The first equation shows the alpha decay which is ₉₅Am²²⁴ →  ₉₃Np²³⁷ + ₂He⁴

Alpha particles are emitted in the form of radiations when radioactive decay occurs.  The atom of heavy nucleus emit the alpha particles that consist of two proton and two neutrons, also called helium nuclei.

The properties of alpha radiations are:

The Americium with atomic weight  224 undergo alpha decay and produce ₉₃Np²³⁷ . The alpha particle is helium nuclei.

₉₅Am²²⁴   →    ₉₃Np²³⁷ + ₂He⁴

Thus, the first equation represents alpha radiation.

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Answer:

Sorry if I kwon the

answer I telling u

the answer sorry

The net force performs a total amount of work equal to

(45 N) (0.80 m) = 36 J

on the bullet, and this is in turn is equal to the change in the bullet's kinetic energy by the work-energy theorem. So we have

W = ∆K = 1/2 mv²

since the bullet starts at rest, where m = its mass and v = its final velocity.

Solve for v :

36 J = 1/2 (0.0050 kg) v²   ⇒   v = 120 m/s

The sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.

Kirchhoff's loop rule states that the algebraic sum of potential differences, as well as the voltage supplied by the voltage sources and resistances, in any loop must be equal to zero.

In a series RLCcircuit, the voltages are not added by scalar addition but by vector addition.

Kirchhoff's loop rule is not violated since the voltages across different elements in the circuit are not at their maximum values.

Therefore, the sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.

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The times and distances are represented by the function are

The distance is the length of path travelled by a body when moving with some speed and taking time t.

Given function is

D (t) = 300t +125 for 0≤t<2.5

D (t) = 875  for 2.5 ≤t≤3.5

D(t)= 75t +612.5 for 3.5<t≤6

According to the given function, for 2 hours, the traveler will travel from home,

D (2) = 300x2 +125 = 725 miles.

For time between 2.5 to 3.5 hr, the distance is constant i.e. 875 miles.

For total time 6hr, the distance travelled will be

D(6) = 75 x 6 +612.5 = 1062.5 miles.

Thus, the correct options are picked up.

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Answer:

B, D, E

Explanation:

got it right on edge

Answer:

wave length is 1.2m

Explanation:

since formula of wave length is v/f

v(speed of sound in air at stp is 300ms^-1)

f(frequency 250hertz)

then wave length is 300÷250 which give 1.2m

Sound waves with a constant frequency of 250 hertz are traveling through air at stp. what is the wavelength of the sound waves is 1.32 m.

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform. There are two types of the wave longitudinal wave and transverse wave. Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave.

speed of the wave,

c = νλ

330 m/s = 250λ

λ = 330/250 = 1.32 m

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Answer:

306J

Explanation:

The formula for kinetic energy is given as ½mv².

Using this, we get our answer by substituting the values into the formula.

½ × 0.145kg × 65m/s

= 306.31J

can be rounded off to 306J

The maximum kinetic energy of the ejected electrons will be 0.71 eV.

The kinetic energy (KE) of electrons is defined as the product of one-half of the mass of the electron to the square of the velocity at which electrons spin in orbit.

Given data;

λ(Wavelength)= 400 × 10⁻⁹ m

Φ(Work function)=2.4 eV

c(Speed of light)= 3 ×10⁸ m/sec

h(Constant) = 6.626 * 10^-34

[tex]\rm \phi = 2.4 eV = 2.4 \times 1.6 \times 10^{-19} \\\\ \rm \phi =3.84 \times 10^{-19} \ J[/tex]

The maximum kinetic energy is found as;

[tex]\rm KE= \frac{hc}{\lambda} - \phi \\\\ KE= \frac{6.64 \times 10^{-34}}{400 \times 10^{-9}} -3.84 \times 10^{-19} \\\\ KE=1.14\times 10^{-19} \ J[/tex]

Unit conversion:

1 eV = 1.6 * 10⁻¹⁹ j

1 J=1/( 1.6 * 10⁻¹⁹) ev

KE=0.71 eV

Hence, the maximum kinetic energy of the ejected electrons will be 0.71 eV.

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Answer:

I don't really understood the question

Answer:

See below

Explanation:

East components are   10    and    12 cos 30   = 20.392 m/s

North component =  12 sin 30 = 6 m/s

Resultant velocity = sqrt ( 20.392^2 + 6^2) = 21.26 m/s

  direction   arc tan   (6/20.392) = 16.4 degrees N of east

The stone on the celestial body will be 50 N in weight. When the mass of a celestial body equals half of the mass of the earth.

The mass of the body is defined as the amount of matter a body has. It is denoted by m and its unit is kg.

Weight is defined as the amount of force an object exerts on the surface. It is given as the product of mass and the gravitational pull.

Given data:

[tex]\rm m_h = \frac{1}{2} m_E[/tex]

[tex]\rm r_h=\frac{1}{2} r_E[/tex]

[tex]\rm W_E = 100 \ N[/tex]

The weight of the body on earth is found as;

[tex]\rm W_E = m_Eg[/tex]

Substitute all the values:

[tex]\rm W_E = m_Eg \\\\\ 100 \ N = 2 m_hg \\\\ m_hg =50 \ N \\\\ W_h = 50 \ N[/tex]

Hence, the weight of the stone on the heavenly body will be 50 N.

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Answer:

[tex]46.482 cm[/tex]

Explanation:

[tex]Since 1 in = 2.54cm\\\\18.3 inches =(18.3 x 2.54) cm\\ =46.482cm[/tex]

#21

According to first equation of kinematics

#22

#a

The order is

#b

for speed find absolute velocity

So order is

S1<S3<S2

Answer:

See below ~

Explanation:

Question 21 :

⇒ v = u + at

⇒ v = 5 + 1.3 (2)

⇒ v = 5 + 2.6

⇒ v = 7.6 m/s

=============================================================

Question 22 : At t = 3

Subpart (a)

⇒ Object 1 : v = 2 + 3(3) = 11 m/s

⇒ Object 2 : v = -8 - 4(3) = -20 m/s

⇒ Object 3 : v = 1 - 5(3) = -14 m/s

⇒ Hence, their velocities are in the order : Object 2 < Object 3 < Object 1

Subpart (b)

⇒ Object 1 : v = | 2 + 3(3) | = 11 m/s

⇒ Object 2 : v = | -8 - 4(3) | = 20 m/s

⇒ Object 3 : v = | 1 - 5(3) | = 14 m/s

⇒ Hence, their speeds are in the order : Object 1 < Object 3 < Object 2

The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The given data in the problem is;

v(t)=1.4ln(1’t²) inches per minute

0<t<15 minute

Acceleration is found as;

[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]

Acceleration at t= 5 minute;

[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]

Hence, the acceleration of the snail will be 7/13 inch per square minute.

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Potassium will have the greatest atomic size because of its number of shells, followed by sodium which 1 valence electron compared to magnesium the same number of shells but 2 valence electrons.

The relative size of the atoms is determined from the number of shells and valence electron contained in the atom.

Sodium, 11 ----> 2, 8, 1

Magnesium, 12 ----> 2, 8, 2

Potassium, 19, -----> 2, 8, 8, 1,

Potassium will have the greatest atomic size because of its number of shells, followed by sodium which 1 valence electron compared to magnesium the same number of shells but 2 valence electrons.

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Answer:

wood

Explanation:

Answer:

5.775 m/s

Explanation:

radial acceleration = velocity / radius

=> velocity = radial acceleration * radius

=> v = 3.5 * 1.65 = 5.775 (m/s)

Answer:

B. A measure of mass per unit volume

Explanation:

trust me

Answer:ITS C I PASSED THE TEST

Explanation:I DID THE PLATO

Based on the calculations, the kinetic energy of the model rocket at this point is equal to: A. 7,200 Joules.

Given the following data:

Mass = 1 kg.

Height = 500 m.

Velocity = 120 m/s.

Mathematically, kinetic energy can be calculated by using this formula:

K.E = 1/2 × mv²

Where:

Substituting the given parameters into the formula, we have;

K.E = 1/2 × 1 × (120)²

K.E = 1/2 × 1 × 14,400

K.E = 7,200 Joules.

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The density of the metal sphere is 2 times the density of the liquid as proved.

The net upward force acting on the sphere as it is dropped into the liquid is calculated as follows;

F =  σVg - ρVg

ma =  σVg - ρVg  

where;

σV(a) =  σVg  - ρVg

σ(a) = σg  - ρg

σ(g/2) = σg -  ρg  

g(σ/2) = g(σ -  ρ)

σ/2 = σ -  ρ

σ/2 - σ = -  ρ

-σ/2 = -  ρ

σ = 2ρ --- proved

Thus, the density of the metal sphere is 2 times the density of the liquid as proved.

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The first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.

The resultant of two vectors is determined from Pythagoras theorem is as shown below.

R² = a² + b²

Thus, the first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.

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The potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules

The energy stored in a capacitor is an electrostatic potential energy.

It is related to the charge(Q) and voltage (V) between the capacitor plates.

It is represented as 'U'.

Formula:

Potential difference, V is the ratio of the charge to the capacitance of a capacitor.

It is calculated using:

V = Q ÷ C

Where Q = charge 5 × 10∧-5C and C = capacitance 10∧-9

Substitute the values into the equation

Potential difference, V = 5 × 10∧-5 ÷  10∧-9 = 5 × 10∧4 volts

Formula:

Energy, U = 1 ÷ 2 (QV)

Where Q= charge and V = potential difference across the capacitor

Energy, U = 1 ÷ 2 ( 5 × 10∧-5 × 5 × 10∧4)

= 0.5 × 25 × 10∧-1

= 0.5 × 2.5

= 1. 25 Joules

Therefore, the potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules

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From the calculation, the wavelength of the waves is about 264 nm and belongs to the ultraviolet spectrum.

The term photoelectric effect can be used to describe the loss of electron from the surface of a metal. Given that; KE = E - W, where;

KE = kinetic energy of the emitted photoelectron

E = energy of the photon

W = work function of the metal

[tex]2= E - 2.71\\E = 2 + 2.71\\E = 4.71ev or 7.5 * 10^-19 J[/tex]

λ= hc/E

λ= [tex]6.6 * 10^-34 * 3 * 10^8/7.5 * 10^-19[/tex]

λ= [tex]2.64 * 10^-7 m[/tex] or 264 nm

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The information being conveyed by an object about the important events, advancements, and people of a specific time period is known as: C. historical significance.

Historical significance can be defined as an information that is being conveyed by an artistic object about the important events, advancements, technology, phenomenon, and people that have existed and occurred over a specific time period

This ultimately implies that, historical significance refers to the information that an object conveys with respect to the important events, advancements, technology, and people of a specific time period.

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The option which most likely represent the forces acting on the object is  ← 63 N and → 73 N.

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

When the  resulting net force of an object is →10 N

The forces must be in x and  -x direction to balance and give net force of 10 N in +x direction.

So, +73N -63 N = +10 N

Thus, the correct option is ← 63 N and → 73 N

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The work John does is 680 J (joules).

To calculate the work done by John, we need to use the formula:

Work = Force * Distance * cos(theta)

where Force is the applied force, Distance is the displacement, and theta is the angle between the force and the displacement.

Substitute the given values into the formula:

Force = 60 N

Distance = 12 m

theta = 37 degrees

Convert the angle from degrees to radians:

theta_radians = 37 degrees * (pi/180)

Calculate the cosine of the angle:

cos(theta_radians) = cos(37 degrees * (pi/180))

Calculate the work done by John:

Work = 60 N * 12 m * cos(37 degrees * (pi/180))

Simplify the equation and calculate the numerical value:

Work ≈ 680 J (joules)

Therefore, the work done by John is approximately 680 joules.

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