please help me with this

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

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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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:

5.775 m/s

Explanation:

radial acceleration = velocity / radius

=> velocity = radial acceleration * radius

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

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 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  motion of the ball on the frictionless ramp is defined by increasing translational speed with non zero angular speed. The correct option is C.

When a body is moving on a circular track, the speed of the particle is called as the angular speed.

When a ball is rolling without slipping, the motion is both translational and rotational. At point of contact at rest, the velocity is zero. The ball rolls without slipping only if the ball moves with zero speed at point of contact.

On the inclined part, the gravity acts straight downward. Velocity remains constant, ramp pushes back the ball and so the ball pushes ramp. There will be no acceleration and velocity remains constant. The angular speed is directly proportional to the linear velocity.

Thus, the correct option is C.

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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:

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:

E......1,800 meters

Explanation:

distance = speed × time

convert 1 min to seconds because speed is give in meters per seconds so it's which is 60 seconds

Then...60 ×30 = 1,800

The raising of window blinds is changing the amount of work done because work is easier by changing the direction of the force.

Work done refers to the product of component of a force in the direction of distance and the magnitude of this distance.

According to this question, a woman raises window blinds by pulling down on the cord.

The work done on the blind is made easier because load is relieved by changing the direction of the force.

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According to the universal law of gravitation, the force due to gravity is a. inversely proportional to the square of the distance between objects.

Newton's law of universal gravitation states that objects are attracted to each other in the universe with a force directly proportional to the product of their masses and inversely proportional to the square of their distance apart.

The equation that represents this law is;

F = G × M1M2 ÷ r∧2

Where,

F is the gravitational force acting between two objects

M1 and M2 are the masses of the objects

r is the distance between the centers of their masses

G is the gravitational constant.

Thus. according to the universal law of gravitation, the force of gravity is inversely proportional to the square of the distance between objects.

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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 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:

[tex]46.482 cm[/tex]

Explanation:

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

From the four figure table, the value of sin(55°) to 4 dp is 0.8192.

The term trigonometric ratios are those ratios that are obtained using the sides of a right angled triangle and they are sine, cosine and tangent.

If we have the value sin(55°), upon evaluation, we realize that the value of sin(55°) to 4 dp is 0.8192.

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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.

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

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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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.

Answer:

Explanation: RADIUS OF EARTH = 6400X1000m =

ACC DUE GRAVITY ABOVE SURFACE OF EARTH = g' =2.45 m/s^2

ACC DUE GRAVITY ON SURFACE OF EARTH =g= 9.8 m/s^2

A/C TO FORmULA

g'/g=1-2h/Re

g'/g +2h/Re = 1

2h/Re =1- g'/g

2h= (1- g'/g)Re

2h=(1-2.45 /9.8)

6400X1000

2h = (0.75)6400X1000

2h = 4800000

h= 2400000

m

Answer:

Supplementary units are the dimensionless units that are used along with the base units to form derived units in the International system.

Explanation:

Since they have no units under SI system, they can be considered dimensionless.

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The voltage across the resistor increases because extra electron gained by the LDR when the light is shone on it.

Increase in the voltage can occur due to some of the following reasons.

From Ohm's law voltage is directly proportional to current flowing in a circuit.

V ∝ I

The voltage across the resistor increases because extra electron gained by the LDR when the light is shone on it.

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Answer:

I don't really understood the question

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 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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The magnetic and electrostatic can be either attractive or repulsive. The correct option is C.

A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects.

Non-contact forces, such as electrostatic forces, pull or push on objects without actually making contact with them.

When certain materials are rubbed together, a phenomenon known as "charge" can be transferred from one surface to another.

One of the four fundamental forces of nature, the electromagnetic force, results in the magnetic force, which is brought about by the motion of charges.

When two charge-containing objects move in the same direction, a magnetic attraction pulls them together.

Thus, the correct option is C.

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Given that 1 ounce equals 28.35 grams, the value of 14.600 ounces in grams is approximately 413.9g.

Note that:

1 ounce = 28.35 grams

Given that;

Since 1 ounce = 28.35 grams, 14.600 oz will be;

14.600 oz = ( 14.600 × 28.35) grams

14.600 oz = 413.9g

Given that 1 ounce equals 28.35 grams, the value of 14.600 ounces in grams is approximately 413.9g.

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The spectral type is B, the temperature is 18,000, the absolute magnitude is 0 and the luminosity is 100.

The value of luminosity is independent of an observer's distance from an object since it is an absolute measure of radiant power.

Astronomers commonly express an object's brightness in terms of solar luminosities, with one solar luminosity equaling the luminosity of the Sun.

Hence, the spectral type is B, the temperature is 18,000, the absolute magnitude is 0, and the luminosity is 100.

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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