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

Taking into account the definition of density, the volume of the metal block is 3 m³.

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

In this case, you know that:

Replacing in the definition of density:

[tex]5000 \frac{kg}{m^{3} } =\frac{15000 kg}{volume}[/tex]

Solving:

volume×5000 [tex]\frac{kg}{m^{3} }[/tex]= 15000 kg

volume= [tex]\frac{15000 kg}{5000 \frac{kg}{m^{3} }}[/tex]

volume= 3 m³

In summary, the volume of the metal block is 3 m³.

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The acceleration that the same force will provide if both masses are tied together is; 6.0 m/s².

We are given;

Force; F = 5 N

Acceleration of the first mass, a₁ = 8.0 m/s²

Acceleration of the second mass, a₂ = 24 m/s²

Formula for force is;

F = ma

Let us find both masses; m₁ and m₂.

m₁ = F/a₁

m₂ = F/a₂

Thus;

m₁ = 5/8 kg

m₂ = 5/24 kg

Total mass is; m = m₁ + m₂

m = 5/8 + 5/24

m = 15 + 5/24

m = 20/24 kg

Thus, acceleration if they are both tied together is;

a = F/m

a = 5/(20/24)

a = 6.0 m/s².

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Opposite attract , this is the magnetic south pole

option (b) ✔

Answer:

B

Explanation:

Opposites attract......so the end of the needle pointing to the North Pole is the South pole of the magnetic needle.

Answer:

A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.

Hope this helps:)

The equivalent resistance of the circuit will be option (D) 80.0 Ω

According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them.

The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm is the name given to ohms.

Since in the given figure the resistance are in series so there equivalent resistance will be sum of the two resistance. If they were in parellal connection then we will add reciprocal of their resistance.

Let R1 = 60 Ω and R2 = 20 Ω. So their equivalent resistance will be as follow:

R = R1 + R2

R = 60 + 20

R = 80 Ω

Hence the equivalent resistance of the circuit will be 80 Ω

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The acceleration of the car is calculated as 10 m/s.

The acceleration is the rate of change of velocity with time. Given that;

s = ut + 1/2 at^2

Assuming that the motion started from rest, u = 0 m/s

s = 1/2 at^2

2000 = 0.5 * a * (20)^2

a = 2000/ 0.5 *  (20)^2

a = 10 m/s^2

2) The time taken to reach the maximum height is gotten from;

v=u+at

0=20+(−10)t

t=2s

Then time taken to reach the maximum height;

s = ut + 1/2 at^2

s = 20(2)+0.5(−10)(2)^2

s = 20m

The maximum height is therefore 45 m thus;

45=0+0.5(10)(t)^2

t = 3s

Total time= 3+2= 5s

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acceleration = a

1000 = u(30) + 0.5a(30)²

1000 = 30u + 450a

velocity after covering 1 km = u + 30a

1000= (u+30a) (20) + 0.5a (20)²

1000= 20u + 800a

u = 35a

putting the value of u in above equation

so, a = 2/3

2. refer to the above attachment

The halo of galaxy expand from the bulge out to the edge of the disk. The correct option is b.

Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.

It went on expanding and stretched to grow as large as possible. It is still now expanding.

The universe consist of fully dark matter, interstellar gases or dust. The  This universe began with a big bang , also known as the massive explosion. This universe is still on it way of expanding more.

The formation of stellar halos occurs naturally in a cold dark matter. Universe has halos which occurs from the bottom-up or the large structure of galaxies is formed starting with small objects.

Thus, the correct option is b.

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The total cost for the energy used if electricity costs 10p per unit is determined as 2p.

The total energy consumed during the process is calculated as follows;

E = Pt

where;

E = (800 W/1000) x (2.5 /60)   + (2 kW) x (5/60)

E = 0.8 kW x 0.042 hr     +    2kW x 0.083 hr

E = 0.0336 kW-hr  +  0.166 kW-hr

E = 0.1996 kW-hr

C = E x 10p

C = 0.1996 kW-hr x 10p

C = 1.996p

C ≈ 2p

Thus, the total cost for the energy used if electricity costs 10p per unit is determined as 2p.

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(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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Answer:

67.5m

Explanation:

Use the kinematics equation.[tex]\frac{vf^2-vo^2}{2a} =x[/tex]

[tex]vf=30[/tex]  [tex]vo=15[/tex] [tex]a=5[/tex]

[tex]\frac{30^2-15^2}{10} =x\\[/tex]

[tex]67.5=x[/tex]

(a) The gas of interstellar medium can be detected from the radiations of photons of  wavelength 21 cm.

(b) The gas of interstellar medium can be detected from the absorption lines present in the light from distant stars, which must be caused by a medium of density and temperature other than that of the stars emitting the lights.

Interstellar medium is the matter and radiation that exist in the space between the star systems in a galaxy.

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Beryllium (Be) is the only alkaline earth metal that does not react with water.

What are alkali metals and their properties?

Alkali is a substance that produces hydroxide ions in aqueous solution.

PHYSICAL PROPERTIES OF ALKALIS:

CHEMICAL PROPERTIES OF ALKALI METAL

Beryllium (Be) is the only alkaline earth metal that does not react with water.

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Answer:

the micrometre screw gauge is used​ for making precise linear measurements (e.g to measure diameter of a wire)

The energy of a wave is directly proportional to the square of the amplitude of the wave.

There is direct relationship between energy of the wave and the amplitude of the wave. The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This means if energy is increase the amplitude of wave becomes double and vice versa.

Energy = (amplitude)2

So we can conclude that the energy of a wave is directly proportional to the square of the amplitude of the wave.

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[tex]Energy = (amplitude)^{2}[/tex]

Energy is define as the capacity for doing work.

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.

Here , If energy is increase the amplitude of wave becomes double.

[tex]Energy = (amplitude)^{2}[/tex]

Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.

By using the above equation if the amplitude is 6 Units then :

Energy = [tex](6)^{2}[/tex] = 36 units

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Answer:

INPUT force

Explanation:

You are putting force into a machine of levers to have the output of cutting something.

When your hand presses down on scissors, the force is called input force because are applying a force into an object. Thus, option a is correct.

Force is an external agent acting on a body to deform it or to change its state from rest or motion. There are various kinds of force such as magnetic force, nuclear force, gravitational force etc.

Force is a vector quantity thus, it is characterised by a magnitude and direction. According to second law of motion, the force acting on a body is the product of mass and acceleration.

Hence, the force acting on a body is directly proportional to the mass. Greater the mass, greater will be the force needed to accelerate the body. When we press down on an object we are applying an input force to the object.

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Answer:

Roots are basically hooked into the ground?

Explanation:

Maybe you could comment here the choices if it's multiple choice.

Answer:

Convex mirrors produce only virtual images, and concave mirrors produce real and virtual images

Answer:

covex Miros produce different thing like micronizamm and other things

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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The velocity of the 2x10^4 kg car just before the collision is 0 m/s.

When two bodies of different masses move together each other and have head on collision, they travel to same or different direction after collision.

The external force is not acting here, so the initial momentum is equal to the final momentum. For inelastic collision, final velocity is the common velocity for both the bodies.

m₁u₁ +m₂u₂ =(m₁ +m₂) v

Substitute the values for m₁ = 1.5 x 10^4 kg, m₂ =2 x 10^4 kg and u₁ =7 m/s, the final velocity is 3m/s/

1.5 x 10^4 x 7+2 x 10^4 x u₂ = (1.5 x 10^4 + 2 x 10^4) x 3

u₂  = 0 m/s

So, the car with mass  2x10^4 kg is stationary.

Thus, the  velocity of the 2x10^4 kg car just before the collision is 0 m/s.

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The youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

It is the rate of the electric work done. Its unit is the watt. Horsepower is the unit of power.

A person under the age of 12 may only legally operate a boat with a motor that has more than 6 horsepower but no more than 35 horsepower

if they meet two requirements: they have a boating safety certificate, which they must have on board; and they are being closely watched by an adult who is at least 16 years old.

Hence the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

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Answer:

0 m/s²

Explanation:

Acceleration is defined as the rate of change of velocity:

[tex]acceleration = \frac{change \space\ in \space\ velocity}{time taken}[/tex] .

As the velocity is constant, change in velocity = 0.

∴ acceleration = 0/ 10

                        = 0 m/s²

Explanation:

The periscope is used in the submarines to see what is going on the water surface.

It is also used in some gun turrets and it is used in armed vehicles.

✨Hope it helps.✨

Explanation:

Hello !

''states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces.''

Archimedes principle equation is given as

buoyant force = density of fluid x volume of displaced fluid x acceleration due to gravity. or

Fb=-density*gravity*volume

For example, a ship that is launched sinks into the ocean until the weight of the water it displaces is just equal to its own weight.

Answer:

Archimedes principle states that"When a body is totally or partially immersed in a liquid,it experience an upthrust which is equal to the weight of the liquid displaced"

This shows that the weight of liquid displaced when a certain object is placed in water is equal to the weight of the object.

The energy of the sun Is a response for the life on earth The planet might take a seat down withinside the liveable radius starting from 0. eighty-five AU to two AU.

The large the planet quicker will be the rotation speed, and therefore shortest the time to take rotate across the axis. The large planets are exceedingly greater solid whilst as compared to the small planet system.

The hazards are

• With improved size, the quantity of gravitational enchantment posed via way of means of the planet might additionally increase. This might cause attracting outer area asteroids and consequential crater impact.

• The large the size, the farther it'd be from the big name to atone for the hydrostatic balance, hence reducing the possibilities for it being an inhabitable area.

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Answer:

The strength of the electromagnet increases.

Explanation:

The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

According to Newton's third law of motion, action and reaction are equal and opposite.

The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.

Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

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The particles released during alpha decay are called alpha particles. Alpha particles have greater mass and charge than other emitted particles.

Since alpha particles have more mass and charge, they are more ionising and lose more energy at a faster rate and can be blocked easily.

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