A student Has focused the image of a candle flame on a white screen using a convex lens . The situation is as given below:

Length of the flame = 2cm

Focal length of the lens = 12cm

Distance of the flame from the lens = 16cm

If the flame is perpendicular to the principal axis of the lens , calculate the values of the following:

(i) Distance if the image from the lens

(ii) Length of the image formed

Need answer for this question

Assuming constant acceleration, the distance travelled in the first 4.5s is:

0.5*5.0*4.5 = 11.25m

The distance travelled in the next 4.5s is:

5.0*4.5 = 22.5m

The total distance travelled is:

11.25 + 22.5 = 33.75m

Answer:

Option b is correct - Rocky, nearly continuous, found on earth surface.

The reason is it is the rocky surface area composed of crust and upper mantle part. Basically, it is the outer shell of earth.

Answer:(of a reaction or process) accompanied by the release of heat.

Explanation: trust moi

When the distance between two objects is doubled, the gravitational force between them is reduced by one-fourth.

Newton's law of gravitation states that an object attracts every other object in the universe with a force that is directly proportional to the product of their masses and inversely proportionate to their square distances from one other. This force may be thought of as gravitational attraction.

So, when we double the distance between the two objects then force will get reduced to one-fourth as according to newton's law of gravitation, force is inversely proportional to the square of the distance between them.

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24,576.11 joules work is done lifting a 35 pound object from the ground to the top of a 45 foot building if the cable used weighs 2 pounds per foot.

The work done while lifting a 35 pound object from the ground to the top of a 45-foot building using a 2-pound per foot cable can be determined by calculating the potential energy of the object at the top of the building.

The potential energy of an object is given by the formula;

Potential Energy = mgh

where m is the mass of the object in kilograms,

g is the acceleration due to gravity which is approximately 9.81 m/s², and

h is the height of the building in meters.

To begin, the 35-pound object needs to be converted to kilograms as follows:

1 pound = 0.45359237 kilograms

Therefore, 35 pounds = 35 x 0.45359237 = 15.875198 kg

The cable weighs 2 pounds per foot, and the height of the building is 45 feet.

Therefore, the total weight of the cable is:

2 pounds per foot x 45 feet = 90 pounds or 40.82331 kg

The total mass, M, of the object and the cable can be found by adding the mass of the object, m, to the mass of the cable,

C.M = m + C

Therefore,

M = 15.875198 + 40.82331M = 56.698508 kg

Now that the total mass of the object and the cable has been found, the potential energy of the object at the top of the building can be calculated.

Potential Energy = mgh

Potential Energy = (56.698508)(9.81)(45)

Potential Energy = 24,576.10561 joules

Therefore, the work done lifting the 35 pound object from the ground to the top of a 45-foot building using a 2-pound per foot cable is approximately 24,576.11 joules.

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The torque about the center of mass is the same as in a direction perpendicular to the door.

The rotational equivalent of a force in physics and mechanics is called torque. Depending on the subject matter, it may also be referred to as the moment, moment of force, rotational force, or turning effect. torque symbolizes a force's ability to cause a change in the body's rotational motion around center of mass. The idea was developed as a result of Archimedes' studies on the application of levers. Similar to how a linear force pushes or pulls an object, torque is a twist about a particular axis. The ratio of the force's magnitude to the angle at which the force's line of action is perpendicular to the axis of rotation is known as the torque.

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This is the same speed as the elevator's initial speed, so the elevator and the cylinder should be in sync again after one complete revolution.

When the elevator is moving upward at a speed of 2.3 m/s, the cable is unwinding from the cylinder at a rate that is equal to the elevator's speed. Since the diameter of the cylinder is 1.2 m, its circumference is:

C = πd = 3.7699 m

Therefore, the length of cable that unwinds from the cylinder in one second is:

L = 2.3 m/s × 1 s = 2.3

Dividing this by the circumference of the cylinder gives us the number of complete revolutions that the cylinder makes in one second:

N = L / C = 2.3 m / 3.7699 m = 0.6097 revolutions/s

If the cylinder turns one complete revolution, it means that N = 1. Therefore, the time it takes for the cylinder to complete one revolution is:

t = 1 / N = 1 / 0.6097 revolutions/s = 1.639 sDuring this time, the elevator has slowed down and come to a stop. The speed of the cylinder during this time can be calculated using the formula:

v = ωr

where ω is the angular velocity of the cylinder, and r is its radius. Since the diameter of the cylinder is 1.2 m, its radius is 0.6 m. One complete revolution corresponds to an angle of 2π radians, so the angular velocity of the cylinder is:

ω = 2π / t = 2π / 1.639 s = 3.834 rad/s

Therefore, the speed of the cylinder during the time it takes to make one complete revolution is:

v = ωr = 3.834 rad/s × 0.6 m = 2.3004 m/s

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Answer:

hope this helps.

Explanation:

______

Work is said to be done when force applied moves a distance in the direction of the force.

The questions here relate to motion and i will try to answer each one.

1) The graph as shown represents a constant negative acceleration.

2) Given that even at constant velocity, an acceleration occurs in circular motion because the direction of motion changes hence as the carousel moves, there is acceleration; change in velocity.

3) From the diagram shown, we can see that a simple machine makes a task easier.

4) The average speed for each lap decreases. This is an example of a(n) inverse relationship.

5) When a stack of books is carried at waist level across a room, work is not being done.

6) The reason why the tortoise won is that, the tortoise moved at a constant velocity throughout the race; the hare stopped to rest periodically.

7) Work is only said to be done when the force applied moves a distance hence, work is not done because, the object has not moved.

8) The truth about the movement of the car is that the car travels at constant velocity.

9) The mechanical advantage is defined as the ratio of load to effort. Hence the mechanical advantage = 600 Ibs/150 Ibs = 4

10) The lowest gear has the greatest mechanical advantage because it requires the least work to climb the hill.

11) A pulley helps you do work because it decreases the amount of applied force.

12) The pedals on a bicycle give a mechanical advantage by allowing you to turn the pedals a short distance to turn the larger circumference of the wheels.

13) The car is traveling with a constant velocity due to the flat line of the graph.

14) The statement Mary traveled 70 miles/hour due north is velocity.

15) speed = distance/time

time = distance/speed

time = 9 m/ 2m/s = 4.5 s

16) The force needed to push the mass to the top of the ramp can be decreased by decreasing the length of the ramp.

17) The acceleration of the car is negative when the velocity of a car reduced from 50 km/h to 35 km/h over one minute.

18) Average velocity = Distance covered in a specific direction/ time

= 25 Km due east/4 hours = 6.25 km/hr due east

19) Work done = Force × distance

Distance = Work done/Force

Distance = 96 J/16 N = 6 meters

20) The most work is done when Jeremy pushed a car up a steep hill.

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Answer:

Mass

Explanation:

The total sum of atoms in an object is the mass of the object. There are several ways to quantify the number of atoms in a substance.

The distance covered by Usain Bolt in meters is  1200 meter.

Speed is defined as the distance travelled or covered in a particular time period. Speed is a scalar quantity as it does not specify the direction of motion, whereas velocity is the vector counterpart of speed as velocity specifies the direction of motion of the object or body or anything concerned with the motion.

Speed is given by the equation,

speed= distance traveled/time taken --- equation(1)

so we can calculate distance from equation(1) as ,

distance traveled= speed × time taken --- equation(2)

here,

speed is given as 12 m/s and time taken is given as 100 seconds

Therefore from equation(2)

distance traveled = 12m/s×100s=1200m

that is , the distance covered by Usain Bolt is 1200 meters.

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Answer:

Balloons can be filled with air.

Air has mass.

Explanation:

Matter is anything that has mass and can occupy space.

Mass is the quantity of matter within a substance.  Notably, there are three states of matter which are solid, liquid and gas.

So, air is a matter because it has mass and it can be used to fill balloons.

Answer:

Balloons can be filled with air.

Air has mass.

The suitable dimensions for tied and spiral columns of Required loads, Stresses, Gross area, Area of steel are 1142.86 kN, 12.6 MPa, 90.89 m².

The required loads can be determined by dividing the factored load by the appropriate load factor. For this example, let's assume a load factor of 1.4. Required loads = Factored load / Load factor

= 1600 kN / 1.4

= 1142.86 kN

Determine the allowable stresses: a concrete compressive strength of fc' = 28 MPa, the allowable compressive stress (fa) can be calculated using the formula:

= 0.45 * 28 MPa

= 12.6 MPa

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(P4.33) A dielectric cube of side a, centered at the origin, carries a "frozen- in" polarization" P = kr, where k is a constant.(a)The total bound charge is given by Q_b, and since it is proportional to a^3, the bound charges will add up to zero only if k = 0. Otherwise, there will be a non-zero net bound charge.(P4.35)The total bound charge on the surface is given by Q_b, which is equal to -2χ_e q.

Problem 4.33, we have a dielectric cube of side length a centered at the origin. The polarization is given as P = kr, where k is a constant.

To find the bound charges, we need to consider the divergence of the polarization. The bound charge density, ρ_b, is given by:

ρ_b = -∇ · P

In this case, since P = kr, we can calculate the divergence:

∇ · P = ∂(krx)/∂x + ∂(kry)/∂y + ∂(krz)/∂z

= k + k + k

= 3k

Therefore, the bound charge density is:

ρ_b = -3k

To check if the bound charges add up to zero, we need to integrate the bound charge density over the volume of the cube:

Q_b = ∫∫∫ ρ_b dV

Since the polarization is "frozen-in" and the cube is centered at the origin, we can integrate over the volume of the cube:

Q_b = ∫∫∫ (-3k) dV

= -3k ∫∫∫ dV

= -3k (Volume of the cube)

= -3k (a^3)

The total bound charge is given by Q_b, and since it is proportional to a^3, the bound charges will add up to zero only if k = 0. Otherwise, there will be a non-zero net bound charge.

Problem 4.35, we have a point charge q embedded at the center of a sphere with linear dielectric material of susceptibility χ_e and radius R.

To find the electric field, polarization, and bound charge densities, we can use Gauss's Law for dielectric materials. The electric field inside the dielectric sphere is given by:

E = q / (4πε_0 χ_e R^2) * r

where r is the radial distance from the center.

The polarization, P, is related to the electric field by:

P = χ_e ε_0 E

Substituting the expression for E, we get:

P = χ_e q / (4πR^2) * r

The bound charge density, ρ_b, is given by:

ρ_b = -∇ · P

Since P only has a radial component, the divergence simplifies to:

∇ · P = ∂(χ_e q / (4πR^2) * r)/∂r

= χ_e q / (2πR^2)

Therefore, the bound charge density is:

ρ_b = -χ_e q / (2πR^2)

To find the total bound charge on the surface of the sphere, we integrate the bound charge density over the surface area:

Q_b = ∫∫ ρ_b dA

Since the bound charge is on the surface, we can integrate over the surface area of the sphere:

Q_b = ∫∫ (-χ_e q / (2πR^2)) dA

= -χ_e q / (2πR^2) ∫∫ dA

= -χ_e q / (2πR^2) (Surface area of the sphere)

= -χ_e q / (2πR^2) (4πR^2)

= -2χ_e q

The total bound charge on the surface is given by Q_b, which is equal to -2χ_e q. The negative bound charge is located on the surface of the sphere, compensating for the positive charge at the center.

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If the length of a guitar string that vibrates freely is 64 cm and its fundamental frequency is 330 Hz. If the string is pressed down at a certain fret, the length of the vibrating section of the string is reduced to two-thirds of its original length. The new fundamental frequency is 401 Hz.

When a string is played, it vibrates at a certain frequency that is determined by the length, tension, and mass per unit length of the string. This frequency is called the fundamental frequency. When a finger is pressed on a string, the length of the vibrating section of the string is shortened, which causes the frequency to increase. The length of the string that vibrates is determined by the position of the fret. So, if the string is pressed down at the fret, the length of the vibrating section of the string is reduced to two-thirds of its original length.

Here, the length of the vibrating section of the string is 2/3 times the original length

= (2/3) x 64.0 cm

= 42.7 cm.

Now, we can calculate the new fundamental frequency using the formula:

f = (v/2L) where f is the frequency, v is the velocity of the wave, and L is the length of the vibrating section of the string. We know that the velocity of the wave is constant for a given medium, and we can assume that it is equal to the speed of sound in air (v = 343 m/s). Therefore, the new fundamental frequency is:

f = (343/2 x 0.427) Hz

= 401 Hz.

As a result, the pitch of the note being played changes.  In this case, the length of the vibrating section of the string is two-thirds of the original length because the fret is located at that position. The new fundamental frequency of the string is calculated to be 401 Hz using the formula.

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Region 1: The electric field in this region is in the positive x-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

Electricity is the flow of electrical energy generated by the movement of charged particles. It is a form of energy that can be used to power a wide variety of appliances and machines. Electricity is created by the movement of electrons, which are negatively charged particles found in all matter.

Region 2: The electric field in this region is in the negative x-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

Region 3: The electric field in this region is in the negative y-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

Region 4: The electric field in this region is in the positive y-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

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Answer:

4.08m

Explanation:

h = PE/mg

h = 600/(15)(9.8)

h = 600/147

h = 4.08m

We know

\(\boxed{\sf Power=\dfrac{Work\:done}{Time}}\)

\(\\ \sf\longmapsto Power=\dfrac{Force\times displacement}{Time}\)

\(\\ \sf\longmapsto Power=\dfrac{50\times 10}{10}\)

\(\\ \sf\longmapsto Power=\dfrac{500}{10}\)

\(\\ \sf\longmapsto Power=50W\)

Answer:

24 m to the right/ to the east

Answer:

C. Cables transmit infrared waves over longer distances.

Explanation:

A.pex

Answer:

The answer is C.Cables transmit infrared waves over longer distances.

Explanation:

I took AP EX quiz.

Answer:

a low protein diet helps you lose weight because lack of protein can make you lose muscle mass

Explanation:

It cuts your strength it makes it harder to keep your balance and slows your metabolism and later you get tired easily it leads to muscle wasting overtime and sheds your fat

Answer:

Pressure of .2 m^3 of bricks:

Pb = ρ g H = 1.8 ρw * 9.80 m/s^2 * .20 m = 1800  * 9.8 * .2 = 3530 Pascals

ρb = 1.8 ρw = 1.8    since the density of bricks is 1.8 that of water

Pw = 1 * 9.8 * 1000 * .2 = 1960 Pascals

W = P * A   pressure * Area = Force

Pnet = 1570 Pascals - pressure due to bricks under water

F = 1570 N/m^2 * .2m^2 = 63 N     force on pile of bricks

The displacement and the distance traveled by the particle during the time interval  [-2, 5] are -26.83 units and 27.17 units.

Displacement is the straight path between the initial and end positions, whereas distance traveled is the actual length the body covers.

Here, the velocity is given as v(t)=(-t²)+3t-2 and the interval is [-2, 5]. By integrating the given velocity function, we will get the total distance traveled and displacement within the given interval.

The displacement is given as follows,

\(\begin{aligned}\int\limits^5_{-2} v(t)dt&=\int\limits^5_{-2} ((-t^2)+3t-2)dt\\&=\left[\frac{-t^3}{3}+\frac{3t^2}{2}-2t\right]^5_{-2}\\&=\left(\frac{5^3}{3}+\frac{3(5)^2}{2}-2(5)\right)-\left(-\frac{(-2)^3}{2}-2(-2)\right)\\&=-\frac{85}{6}-\left(\frac{38}{3}\right)\\&=-\frac{161}{6}\\&=-\mathrm{26.83\;units}\end{aligned}\)

The total distance traveled is given by,

\(\begin{aligned}\int\limits^a_b|v(t)|dt&=\int\limits^5_{-2}|(-t^2)+3t-2|dt\\&=\int\limits^1_{-2}(t^2-3t+2)dt+\int\limits^2_1(-t^2-3t+2)dt+\int\limits^5_2(t^2-3t+2)dt\\&=\left[\frac{t^3}{3}-\frac{3t^2}{2}+2t\right]^1_{-2}+\left[-\frac{t^3}{3}+\frac{3t^2}{2}-2t\right]^2_{1}+\left[\frac{t^3}{3}-\frac{3t^2}{2}+2t\right]^5_2\\&=\frac{27}{2}+\frac{1}{6}+\frac{27}{2}\\&=\frac{163}{6}\\&=\mathrm{27.17\;units}\end{aligned}\)

Therefore, the displacement and distance traveled are calculated using the given time interval.

The complete question is -

The velocity function is v(t)=(-t²)+3t-2  for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-2, 5].

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The moment of inertia of sphere A about an axis through its center of mass is equal to the moment of inertia of sphere B about an axis through its center of mass.

This is because the mass and radius of the two spheres are the same, so their moments of inertia will be equal if they are rotated about the same axis.

The distribution of mass within each sphere will affect the moments of inertia if they are rotated about different axes. However, the question only asks about the moments of inertia about an axis through the center of mass, which is the same for both spheres.

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The trailer pulls on the vehicle with an average force of A=B=C.

Newton's second law of acceleration is expressed as follows: F = ma

In this case, the mass is m, and the acceleration is a.

Assume that g=9.8 m/s2 represents the acceleration caused by gravity.

The acceleration of the object will be zero if it is travelling at a constant speed.

Because of the constant velocity, the van's net force on the trailer is therefore zero.

As a result, the van applies the same amount of force to each trailer. Thus, FA FB = FC.

As a result, each trailer pulls on the van with the same amount of force in the opposite direction. FA' = FB' = Fc', therefore.

As a result, A=B=C represents the rank of the force the trailer exerts on the van.

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Answer:

The terms of biosafety in a laboratory require that the person must not have the eyes and skin exposed.

Explanation:

A corrosive substance is a substance that can damage a surface when they come into contact.

These substances represent a danger in people since they can burn the eyes, the skin, and the inside of the body since the inhalation of gases can burn the respiratory tract.

These chemical burns can be avoided by properly following the biosafety protocol that a laboratory requires the use of masks, goggles, gloves, and an apron or lab coat.

The rate at which a substance passes through a semipermeable membrane is determined by the diffusivity (d) of the gas. The diffusivity varies with the membrane temperature (t) according to the Arrhenius equation.

The Arrhenius equation is expressed as:
d = D * exp(-Ea/RT)

where:
- d is the diffusivity
- D is a constant
- Ea is the activation energy
- R is the gas constant (8.314 J/(mol*K))
- T is the temperature in Kelvin

In this equation, the diffusivity (d) is inversely proportional to the temperature (T). As the temperature increases, the diffusivity also increases. This means that a higher temperature leads to a faster rate of diffusion through the semipermeable membrane.

To summarize, the rate at which a substance passes through a semipermeable membrane is determined by the diffusivity, which varies with the membrane temperature according to the Arrhenius equation. A higher temperature increases the diffusivity and results in a faster rate of diffusion.

In conclusion, the diffusivity of a gas through a semipermeable membrane can be determined using the Arrhenius equation, which relates the diffusivity to the temperature.

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Alice is weightless because she is in free fall.

Free-fall occurs when an object is experiencing the force of gravity but is not experiencing any other forces, such as air resistance. Because Alice is in a spacecraft, air resistance is not a factor, so she is essentially in a vacuum.

When an object is in a vacuum, the only force acting upon it is gravity. Therefore, Alice is in free fall and is experiencing weightlessness. This is in contrast to you, who is experiencing 1g of acceleration due to the force of the engine of your spacecraft.

This force is greater than the force of gravity, so you are not in free fall, and thus you are feeling the effects of the gravitational field.

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The acceleration of the car can be obtained as  0.26 m/s^2. The force required to ove it a distance of 30 m is 11760 N.

We know that the acceleration is the change in the velocity of the object with time. Now we know from the Newton law that the force is the product of the mass of the object and the acceleration.

Now we have that;

weight = mass * acceleration due to gravity

mass = weight/ acceleration due to gravity

mass = 12,000 N / 10 m/s^2

= 1200 Kg

The we know that;

Force = mass * acceleration

acceleration = Force/mass

=  310 N/1200 Kg

= 0.26 m/s^2

For the force that that is needed to move the car a distance of 30 m we have;

F = ma

= 1200 Kg * 9.8 m/s^2

= 11760 N

This is the force that ca move the object forward.

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