A length 550cm of thin thread wraps around a cylinder exactly 25 times calculate the circumference and the radius of the cylinder. ​

Answer:

B

Explanation:

Momentum= mass × velocity

momentum= P

P= m×v

P= 5×4.5

P=22.5

I hope this helps.

The velocity is 6.75

The velocity in the equation stated above can be calculated as follows

m= 2,000
p= 2.25

y= 6000

velocity= 2.25 × 6000/ 2000
= 13500/2000
= 6.75

Hence the velocity is 6.75

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The velocity of the ball at position A is 3.13 m/s.Since all energy is converted to KE.

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

A person has the most potential energy due to her position. when he is sitting on the highest point.

Given data;

Mass,m = .5 kg

Height,H = 0.5 m

Acceleration due to gravity,g = 9.8 m/s²

H is the height

The potential energy is found as;

The potential energy is mainly dependent upon the height of the object.

Potential energy = mgh

The potential energy at point B;

PE = mgh

PE = ( 1.5 kg) ( 9.8 m/s2) (0.5 m)

PE = 7.35 J

Since all energy is converted to KE, the kinetic energy at point B;

KE = 0.5mv^2

KE = PE

7.35 = 0.53(1.5) v^2

V = 3.13 m/s

Hence, the velocity of the ball at position A is 3.13 m/s.

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a. The free-body diagram for the glass when it is at the top of the circle is attached below.

b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N -  mg x Vtop² /R =0

c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.

d. The string will break if the tension on it is more than 100 N. The range of speeds can  prevent the string from breaking is 3.83< Vtop<4.99 m/s

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

Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.

a. The free body diagram of the bucket and glass is attached below.

b. Bucket will undergo centrifugal force

Fb = mVtop² /R

From the equilibrium of forces, we have

For bucket,

T +mb xg - N =  mb x Vtop² /R..............(1)

For glass,

mg x g + N =  mg x Vtop² /R..............(2)

Thus, this is the net force equation on the glass.

c. On adding both the equations. we have

T + (mb + mg) xg = (mb + mg) Vtop² /R

Substituting the values, T = 0 and from the question, we get

0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)

Vtop = 3.83 m/s

Thus, the speed of spin to prevent glass from falling out is 3.83 m/s

d. The string will break if the tension on it is more than 100 N

100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)

Vtop = 4.99 m/s

Thus, the range of velocity is  3.83< Vtop<4.99 m/s

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Answer:

Force = 9600N

Explanation:

If this is the right question, there should have been a question before about the what the change in the momentum of the ball was. The answer to that was 9.6kg m/s. For this part, we divide this by the time taken which was 0.001s which give us the resultant force.

resultant force = change in momentum ÷ time

= 9.6kgm/s ÷ 0.001s

= 9600N

The wavelength of the first harmonic of the standing wave is 2L.

A standing wave is one in which the obvious points remain fixed as the vibration continues. A standing wave occurs in a wind instrument such as a trumpet, saxophone etc.

We know from  the formula of the first harmonic that the wavelength of the first harmonic of the standing wave is 2L.

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Answer:

The car will stop after 4 seconds after moving the distance of 0.08km.

Explanation:

The reading above it clearly states that a car is moving at a speed of 72Km/hr. And it asking for the distance the car move when it stops after 4 seconds.

Looking at speed formula , speed=distance÷time.

But in this problem we I finding distance, so in speed formula make distance the subject.

Before going ahead you should have this in mind the unit for distance is Km and m . Our speed is in Km/hr but our time is in second. In this case change 4 seconds to hour which is 0.00111 hr .you change second to hour because hr will cancel hr when solving for distance giving distance unit Km

Distance = speed × time

Distance= 72km/hr × 0.00111 hr

hour cancel hour

Distance= 72km × 0.00111

Distance = 0.08km

Therefore the car will stop after 4 seconds after moving the distance of 0.08km.

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conversion :

72 km/h = 72 × (1000/3600) = 20 m/s

so, in 4 seconds it travel

Answer:

it is c

Explanation: i just did it

Answer:

Density is defined as mass per unit volume. its SI unit is: kg/m³

Explanation:

Answer:

Density is defined as mass per unit volume. its SI unit is: kg/m³

Explanation:

from answer above

Answer:

20.37m/s

Explanation:

For this problem, we'll need a basic kinematic equation for both directions

Vertical direction:

[tex]y(t)=\frac{1}{2}a_{y}t^{2}+v_{o_y}t+y_{o}[/tex]

Knowing that the acceleration in the y-direction is due to gravity, and is constant near the surface of the Earth, where the rock is being thrown, we get [tex]a_{y}=g=-10m/s^{2}[/tex].  We're also given that the initial vertical height is 83m, so [tex]y_o=83m[/tex].  Additionally, we're given that the stone is thrown horizontally, and thus initially, it has no vertical velocity.  Only velocity in the x-direction.  Thus, [tex]v_{o_y}=0m/s[/tex].  Substituting known values into our equation:

[tex]y(t)=\frac{1}{2}(-10)t^{2}+(0)t+(83)[/tex]

[tex]y(t)=-5t^{2}+83[/tex]

This equation is true for all times until the acceleration changes (isn't constant... i.e. when it hits the ground).

What now?

We want to find the specific time when it does hit the ground.  Why?  Because this is the point in time where we know some extra information about what is happening in the x direction, and that will help us deal with the x-direction equation.  

When the stone does hit the ground, the output of this function (measuring the height of the stone) is zero, which leaves only one unknown value, t... the time associated with that y:  the time that it takes to hit the ground:

[tex]0=-5(t_{ground})^{2}+83\\-83=-5(t_{ground})^{2}\\\frac{-83}{-5}=(t_{ground})^{2}\\16.6=(t_{ground})^{2}\\\sqrt{16.6}=\sqrt{(t_{ground})^2}\\4.074309757seconds=t_{ground}[/tex]

Again, this is the time that the stone hits the ground.  Knowing how special this time is, one might give it a special subscript to keep track of it.  

[tex]t_{ground}=4.074309757seconds[/tex]

Horizontal direction

Reusing the basic kinematic equation for the horizontal direction:

[tex]x(t)=\frac{1}{2}a_{x}t^{2}+v_{o_x}t+x_{o}[/tex]

Note that in the horizontal direction, there is no acceleration (after the rock is released), so [tex]a_{x}=0[/tex].  Also, if we define the base of the cliff as our origin, then at the top of the cliff where the rock is released, the initial x-position is still zero, aka, [tex]x_{o}=0[/tex]

[tex]x(t)=\frac{1}{2}(0)t^{2}+v_{o_x}t+(0)\\x(t)=v_{o_x}t[/tex]

While we don't know the initial horizontal velocity, we do know an output of the function for one specific input... we know that when the stone hits the ground, that the stone's horizontal distance is 93m from the cliff.  So, if we input [tex]t_{ground}[/tex] into this function, it will give an output of 93.  The only remaining unknown is the initial velocity in the x direction.  One equation, one unknown, we can solve this:

[tex]x(t_{ground})=v_{o_x}t_{ground}\\83=v_{o_x}(4.074309757)\\\frac{83}{4.074309757} =v_{o_x}\\20.37154879m/s =v_{o_x}\\[/tex]

If there were a component of initial velocity in the y direction, we would need to use the Pythagorean theorem to combine them.  However, as the initial y component of velocity is zero, the initial velocity is simply the initial x velocity.

Paying attention to directions, round to the answer to the nearest hundredth:

[tex]20.37m/s =v_{o}\\[/tex]

The vector B will have two components and those components will be called resultant vectors.

A component vector is a unit vector that represents a given vector in a particular direction.

A vector can be represented in x - direction and y - direction.

Thus, the vector B will have two components and those components will be called resultant vectors.

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4. The X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of waves is a False.

5. The amplitude of water waves as you get farther from the disturbance that caused them decreases.

The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is packet of energy that travels and spreads out. It has radio waves, infrared waves, visible light waves, ultraviolet rays and microwaves.

They possess high energy even to penetrate deep within the material. The electromagnetic spectrum has longer wavelength and less frequency.

4. The Earth's environment is thick an adequate number of that for all intents and purposes no X-beams can come through from space the entire way to the Earth's surface. This is great as far as we're concerned yet in addition terrible for stargazing. We need to put X-beam telescopes and identifiers on satellites.

Thus, X-rays, ultraviolet light, and gamma rays all can travel through interplanetary space, so they are examples of wave is a False statement.

5. The amplitude of the wave decreases as the time period increases. But when we get far from the disturbance, the amplitude increases.

Thus, the amplitude of water wave increases as we get farther from the disturbance.

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If all the wires have the same diameter, they will all stretch by the same percent. The elasticity does not depend upon the length.

Distance is a numerical representation of the distance between two locations. The distance can refer to a physical length or an estimate based on other factors in physics or common use.

|AB| is a symbol for the distance between two points A and B.

A physiological method for identifying far-off or unseen items using sound waves that the objects reflect back to the source, such as a bat. Each one will enlarge by the same percentage.

Hence, they will all stretch by the same percentage.

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Answer:

it is easier to kick a stone than to drag a stone.

Explanation:

the science behind the question is fairly simple.

when you kick and object for say a (rock) you have inertia which is made from you clocking your leg back and swinging it full force forward. when you kick with inertia, you will have a much further travel distance of the object rather than dragging it which is almost set at a certain rate of how fast you are moving (m) and how much inertia you are using by pulling (p)

so m+p=i for inertia. hope this  helped

Answer: The cricket ball bc of the material

Explanation:

Answer:

D

Explanation:

The magnitude is 13 m/s

   the direction is east    the   units  are  m/s

The number of formula units would be  2.5 x  [tex]10^2^3[/tex]

This is mathematically given as: mole x Avogadro number

Molar mass of the aluminum sulfide (Al2S3) sample = 26.98 x 2 + 32.06 x 3

= 53.96 + 96.18 = 150.14 g/mole

Mole of 62.2 g aluminum sulfide = 62.2/150.14 = 0.4143 moles

Formular unit = 0.4143 x 6.023 x [tex]10^2^3[/tex] = 2.5 x  [tex]10^2^3[/tex]

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From the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

When winds are not parallel to or directly with  the line of travel, the wind is said to have a crosswind component.

From the head wind component charts, at 220° at 30 knots, the corresponding crosswind component is 19 knots.

Thus, from the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

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Answer:

Motion of an object that travels in a curved path under the influence of Earth's gravitational field. Examples include throwing a ball, javelin throw, and golf ball.

Explanation:

Answer:

1. In sports.

2. In programming or Animation.

3. In home appliances.

4. In military.

Explanation:

1. In sports. Being common in sports, projectile motion is applied in motion of a projectile which is usually a ball. This is because we are able to calculate the angle of the flight developed by a ball to maximize its distance or velocity. For example in baseball and basketball.

2. In programming or Animation. Considering that there is a challenge for animators and programmers in modern world, physics is applied in televisions or video games. For example a baseball being hit by a player in video game or TV, it should look real. Hence the application of projectile motion.

3. In home appliances. Appliances for example hose or water gun uses an application of projectile motion. As the water exits the hose or water gun, the angle over which the water travels depends on the distance moved and force that is being applied.

4. In military. Bullets being shot from the barrel of the gun is a projectile in air. The speed of the bullet is higher than that of the water exiting the hose therefore it will travel a longer distance. The manufacturers of weapons such as a gun tries to maximize the speed while minimizing gun's recoil.

In the gaseous state,  particles transfer significant amounts of energy by both conduction and convection.

The term convection refers to a pattern of heat transfer in which there is the movement of a significant amount of matter. In convection, the particles of a fluid are moved from one point to another.

Thus, in the gaseous state,  particles transfer significant amounts of energy by both conduction and convection.

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Explanation:

Light Light from a moving source travels at 300,000 km/sec (186,000 miles/sec).

Note:

The Speed of Light Is Constant.

Explanation:

LIGHT TRAVELS AT A CONSTANT VELOCITY OF 300,000 km/sec.

(i) For position coordinates p(x, y),  the path of horizontal projectile is parabolic.

(ii)  The time to reach the ground is 0.96 s.

(iii) The distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground is 9.4 m/s.

(v) The direction of the ball to the horizontal just before it hits the

ground is 90 degrees.

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Given is a ball is thrown forward horizontally from the top of a cliff

with a velocity of 10m/s.  The height of the cliff above the ground is 4.5m.

(i) The equation formed by the ball is at point (x,y) given by

y =yo + Voy x t - 1/2gx²

The equation is in the form of parabola.

Thus, the ball follows parabolic path.

(ii) The time to reach the ground is

t = √2h/g

t =  √(2x 4.5)/9.81

t= 0.96 s

iii) Horizontal distance traveled

R = u x t

R = 10 x 0.96

R = 9.6 m

Thus, the distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground.

v = √2gh

Plug the values, we get

v = √(2 x 9.81 x 4.5)

v = 9.4 m/s

(v) The direction of the ball to the horizontal will be 90 degrees just before it hits the ground.

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[tex]\textsf {a) As there is no change in the initial and final positions, the displacement is}\\\textsf {equal to 0.}[/tex]

b) Finding total distance :

Distance travelled from 0 s to 5 s :

Distance travelled from 5 s to 10 s :

Distance travelled from 10 s to 15 s :

Distance travelled from 15 s to 20 s :

Distance travelled from 20 s to 25 s :

Distance travelled from 25 s to 30 s :

Distance travelled from 30 s to 35 s :

Distance travelled from 35 s to 40 s :

Total = 75 + 150 + 162.5 + 190 + 237.5 + 225 + 150 + 50

Total = 1240 m

c) velocity at t = 15 s

d) average velocity

e) average speed

f) Part d uses displacement whereas part e uses distance

The correct option is 2. The solid state is more dense than the liquid state.

The solid form of most substances is denser than the liquid phase so a block of most solids will sink in the liquid but a block of ice floats in liquid water because ice is less dense. Upon freezing the density of water decreases by about 9%. This is due to cooling of intermolecular vibrations allowing the molecules to form steady hydrogen bonds and locking into positions of hexagonal packing upon freezing to ice. These bonds are shorter in the crystal than in the liquid.

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D. It allows the flow of an electric current in the circuit.

Closed circuit allows the flow of current in the circuit from the battery to the bulb. If the circuit is open then the current will not reach to the bulb or other appliances.

So we can conclude that It is important to have a closed circuit because it allows the flow of an electric current in the circuit.

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The time of motion of the track star is determined as 0.837 s.

The time of motion of the track star is calculated as follows;

T = (2u sinθ)/g

where;

T = (2 x 12 x sin20)/9.8

T = 0.837 s

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Answer:

1). Brake pedal or lever

2). A pushrod also called an actuating rod