Find , the length of , the sum of and . Express in terms of , , an angle , using radian measure for known angles.

Ice crystals that form by accretion are fairly large, they fall slowly because of there high surface area to volume ratio, which cause high air resistance.

Ice crystals that form by accretion are large and have a high surface area to volume ratio. This high surface area causes more air resistance, which slows their fall. The larger the surface area, the more air resistance there is, and the slower the crystals fall. Additionally, the shape of the crystals can also affect their fall speed, with more irregular shapes experiencing more air resistance and thus falling slower. Ice crystals are the building blocks of snowflakes and have a well-defined and ordered internal structure. The structure of an ice crystal depends on the conditions under which it forms, such as temperature and humidity. At very cold temperatures, the crystals are usually simple hexagonal structures, while more complex branching structures can form at warmer temperatures.

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Due to the significant temperature gradient, jet streams are connected to fronts.

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The kinematic equation of motion used to find the time, velocity, and acceleration of the motion in the questions are as follows;

8. The time it takes the runner to get to full speed is 5 seconds

9. The acceleration is 166.[tex]\overline{6}[/tex] m/s²

10. The initial velocity is 550 m/s

11. It takes the sketer 8 seconds

12. The acceleration of the fan is -6·π rad/s²

13. The speed with which the zebra hits the ground is 98 m/s

14. The acceleration of the school bus is -100 m/s²

15. 5 seconds ago the velocity of the jet was 4250 m/s

The kinematic equations of motion are;

v = u + a·t

s = u·t + (1/2)·a·t²

v = u + 2·a·s

Where;

v = The final velocity

u = The initial velocity

s = The distance

t = The time of the motion

a = The acceleration

8. The runner's rate of acceleration = 2 m/s²

The runner's top speed = 10 m/s

The required kinematic equation is; t = (v - u)/a

Where;

t = The time duration

a = The acceleration = 2 m/s²

v = The final velocity = The runner's top speed = 10 m/s

u = The initial velocity of the motion = 0 (assumption that the runner starts from rest)

Therefore;

t = (10 - 0)/2 = 5

9. The speed of the bullet when it hits the bystander, v = 250m/s

The time at which the bullet was shot out of the high powered rifle, t = 1.5 seconds

The initial velocity of the bullet, u = 0m/s (The bullet is initially at rest in the gun)

The acceleration, a = (v - u)/t

Acceleration = (250 - 0)/1.5 = 166.[tex]\overline{6}[/tex]

10. The acceleration of the person as he falls, a = 10 m/s²

The speed at which the person was travelling as he hits the ground, v = 600 m/s

Time after which the person hits the ground, t = 5 seconds

v = u + a·t
u = v - a·t

Therefore; u = 600 - 10 × 5 = 550

11. The acceleration rate, a = 2 m/s²

Initial velocity, u = -6m/s

Final velocity, v = 10m/s

t = (10 - (-6))/2 = 8

12. The initial angular velocity of the fan, ω₁ = 9 rev/sec

1 rev = 2·π rad, therefore;

ω₁ = 2·π × 9 rad/s = 18·π rad/s

The time after which the fan stops, Δt = 3 seconds

The final angular velocity of the fan, ω₂ = 0

The angular acceleration of the fan, α = (ω₂ - ω₁)/Δt

Therefore; α = (0 - 18·π)/3 = -6·π

13. The time it takes the zebra to hit the ground = 10 seconds

The acceleration due to gravity, g = 9.8 m/s²

The initial velocity of the zebra, u = 0 m/s

Therefore;

The velocity with which the zebra hits the ground, v = 9.8 × 10 = 98

The zebra hits the ground moving at 98 m/s

14. Initial speed of the school bus, u = 50 m/s

The time it takes the school bus to come to rest = 0.5 seconds

The acceleration. a = (0 m/s - 50 m/s)/(0.5 s)) = -100 m/s²

15. The acceleration of the jet = 150 m/s²

Current velocity of the jet = 5000 m/s

The initial speed of the jet, u, 5 seconds ago is therefore;

u = 5000 - 150 × 5 = 4250

The initial speed of the jet 5 seconds ago is 4250 m/s

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The kinetic energy possesed by a 1000kg go-cart that is moving at a constant speed of 23 m/s is 264,500J.

Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.

Kinetic energy of a body can be calculated using the following formula;

K.E = ½mv²

According to this question, a 1000kg go-cart is moving at a constant speed of 23m/s. The kinetic energy of the cart can be calculated as follows:

K.E. = ½ × 1000 × 23²

K.E. = 500 × 529

K.E. = 264,500J

Therefore, 264,500J is the kinetic energy of the go-cart.

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Knowing the risks you and your family may face can help you find ways to avoid health problems.

Health risk can be defined as the chance or likelihood that something will harm or otherwise affect your health. health risk is something that increases your chance of developing a disease.

The main health risk are :

Therefore knowing the risks and benefits of a medical treatment can help you and your doctor make informed decisions and It can also keep you from fretting over unlikely threats.

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At the base of the cliff, a boulder falls into the water, transferring all of its kinetic energy to the ocean. The cliff must be 14.6 meters high.

Kinetic energy, which may be seen in the movement of an item or subatomic particle, has been the energy of motion. Example of angular momentum in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a chargeable particle inside of an electric field.

mass of rock m_r = 3.0Kg

mass of water is m_w = 1.0Kg

temperature variation ΔT= 0.10°C

heat of water C_W = 4186 J/Kg °C

gravity g=9.8 m/sec^2

the expression for height,

mrgh = K

h = K/(mrg)

Evaluating numerically.

h = K / (mr g)

h = (418.6 J)/(3.2Kg⋅9.8 m/sec^2 )

h = 14.6 m

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Answer:

An experiment to investigate the relationship between efficiency and load using a block and tackle pulley system could be set up as follows:

1.Set up a block and tackle pulley system, with a fixed pulley at the top and a movable pulley at the bottom. The pulleys should be mounted on a sturdy frame, and the rope should be of a known length and thickness.

2.Attach a weight to one end of the rope, and a load cell to the other end. The load cell will measure the force applied to the rope.

3.Record the weight of the load and the force applied to the rope using the load cell.

4.Measure the distance the load is raised, and record this distance.

5.Repeat steps 3 and 4 for different loads, increasing the weight of the load in increments of, for example, 5 kg.

6.Calculate the efficiency of the pulley system for each load by dividing the work output by the work input and multiplying by 100. The efficiency of the system can be calculated as follows: Efficiency = (Work out / Work in) * 100.

7.Plot a graph of efficiency against load, and observe the relationship between the two variables.

8.Repeat the experiment with different pulley systems, such as a single pulley system and a double pulley system and compare the results.

9.Record the results and any observations and Analyze the data and make conclusions about the relationship between efficiency and load in a block and tackle pulley system.

The image of your face will be located 66.5 cm behind the front surface of the Christmas tree ball.

Surface is the outer layer of a physical object, such as a planet or a star. It is also the top layer of an object, such as the ground or a body of water. Surface can refer to the interface between two objects, such as the atmosphere and the ocean, or the interface between two materials, such as the air and the ground. The term can also refer to the top layer of a material, such as the skin of a human or the bark of a tree. In some cases, surface can refer to the way a material or object looks or feels, such as the smoothness of a rock or the texture of a fabric.

This is because of the principles of spherical mirrors; the image is located twice the distance behind the mirror as the object is in front of it. Therefore, the distance between your face and the image of your face is 58.0 cm (29.0 cm + 66.5 cm). The answer is expressed to two significant figures, and the appropriate units are included.

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Answer:

A variable amount of current travels through each parallel branch of the circuit in a parallel circuit. Each component in a series circuit has a separate voltage across it. The same voltage is present across all of the circuit's components in a parallel circuit, though.

Explanation:

According to the given statement 2.5 m/s is the final velocity of the truck.

Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.

Collision energy equals collision energy before collision

Afterward, we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

According to our estimation, the velocity is 2.5 m/s.

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According to the given statement 2.5 m/s is the final velocity of the truck.

Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.

Collision energy equals collision energy before collision

Afterward, we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

According to our estimation, the velocity is 2.5 m/s.

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The rise in the water's temperature, given that 18200 joules was transferred to the 100.0 g of water is 43.5 °C

Heat transferred I related to temperature rise by the following formula:

Q = MCΔT

Where

With the above formula, we can determine the temperature rise as illustrated below.

The following data were obtained from the question:

Q = MCΔT

18200 = 100 × 4.184 × ΔT

18200 = 418.4 × ΔT

Divide both sides by 418.4

ΔT = 18200 / 418.4

ΔT = 43.5 °C

Thus, we can conclude from the above calculation that the temperature rise of the water is 43.5 °C

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A parcel is traveling on a horizontal conveyer belt moving at 1 meter/second. At the end of the conveyor belt, the parcel lands on a tray after 1 second. The horizontal distance is 1 meters and vertical distance of the tray from the end of the conveyor belt is 4.9 meters.

The conveyer belt's horizontal speed is 1 m/s.

The parcel settles on a tray at the end of the conveyor belt after 1 second. Finding the tray's horizontal and vertical distance from the conveyor belt's end is necessary.

D = v x t for horizontal distance

D= 1x1

d = 1 meter

Utilize the second equation of motion as follows for vertical distance:

s= ut+1/2gt²

Initially  vertical velocity is zero

s= ut+1/2gt²

s = 0+1/2 9.8 x(1)²

S=4.9 meters.

Therefore, the tray is 1 meters and 4.9 meters away from the end of the conveyor belt, respectively, in both the horizontal and vertical directions.

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The time taken for the car to decelerate is 4.5 seconds.

option B.

The acceleration of the car is calculated from Newton's second law of motion as follows;

F = ma

a = F / m

a = ( 7500 ) / ( 2250 )

a = 3.33 m/s²

The time taken for the car to slow down is calculated as follows;

v = u + at

at = v - u

t = ( v - u ) / a

where;

t = ( 20 - 5 ) / 3.33

t = 4.5 seconds

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The Kinetic energy will be 19663 J that is approximately 2.0 × 10³ J option B.

An object or particle has kinetic energy because of its motion. When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and acquires kinetic energy. It's SI unit is Joules.

Given, mass of the car, m = 1400 kg

velocity of the car= 5.3 m/s

by applying the formula ,Kinetic Energy = 1/2×mass×velocity²

K.E. = 1/2×1400×(5.3)²

K.E = 700×28.09

K.E. =  19663 J ≈ 2.0 × 10³ J

The Kinetic energy will be 19663 J that is approximately 2.0 × 10³ J.

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The formula for magnetic field is  B = μo(H + M).

The magnetic field of a magnet is the area around it in which a magnetic force is exerted. It is represented by the symbol B and follows the equation B = μo(H + M).

Here, μo is the permeability of free space, H is the magnetic field intensity and M is the magnetization.

The magnetic field can be measured by a variety of instruments such as a Hall probe or a flux meter. It can also be calculated using mathematical models such as the Biot-Savart law or Ampère's law.

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It is also commonly abbreviated as ms−2. For example, if the velocity of a particle moving in a straight line changes uniformly (at a constant rate of change) from 2 m/s to 5 m/s over one second, then its constant acceleration is 3 m/s2.

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Since the component of your velocity along the road decreased slightly as there was a component across the road when you changed lanes, the distance increased.

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Answer:

[tex]\huge\boxed{\sf I = 50,000\ Ns}[/tex]

Explanation:

Force = F = 100,000 N

Time = t = 0.5 s

Impulse = I = ?

I = F × t

I = 100,000 × 0.5

I = 50,000 Ns

[tex]\rule[225]{225}{2}[/tex]

This question discusses circular motion. Circular motion is the motion of an object that forms a circular path around a fixed point. An object moving in a circle needs a force that always deflects it toward the center of the circular path. This force is called the centripetal force.

Horizontal equilibrium T sinθ = m x v²/r

r = D/2 = 10.8/2 = 5.4 m

From the above two equations, mg tanθ = m x v²/r

but from the figure

r = L sinθ + 5.4 m

r = (2.85 x sin38.2 + 5.4)

r = (2.85 x 0.6184 + 5.4) = 7.1 m

So,

v² = g x tanθ x r

v² = 9.8 x tan38.2 x 7.1

v² = 9.8 x 0.78 x 7.1

v  = √54.27

v  = 7.36m/s

The speed of each seat is 7.36m/s.

If a child of mass 36.8 kg sits in a seat:

Tenson T = mv²/r

T = 36.8 x 7.36²/(7.1)

T = 280 N

So, the chain tension is 280 N.

Writing the right questions:

An amusement park ride consists of a rotating circular platform 10.8 m in diameter from which 10 kg seats are suspended at the end of 2.85 m massless chains. When the system rotates, the chains make an angle of 38.2◦ with the vertical. The acceleration of gravity is 9.8 m/s.

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The required work was done by the workman is 432 J.

Work is the energy exerted by an object as it applies a force to move another object over some distance. For a given amount of force, F, and a given distance, d, the work done on an object is given by the formula W=F⋅d .

We have,

Weight = Force due to gravity = -45j N

Total displacement = 22i + 9.6j Meter

Now,

Work done by gravity = -F.d = Work done by man

W = -45j(22i + 9.6j ) J

W =  -45( 9.6) = -432 J

Thus, work done by man is 432 J

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The change in speed of the hockey pack is 10m/s.

Speed refers to the rate of motion or action, specifically the magnitude of the velocity; the rate distance is traversed in a given time.

The speed of an object can be calculated using the following formula:

F = m × (v/t)

where;

According to this question, a hockey puck (0.50 kg) is in contact with the stick for 0.2 seconds. If the force on the hockey puck is 25 N, the speed can be calculated as follows:

25 = 0.5 × (v/0.2)

25 = 2.5v

v = 10m/s

Therefore, 10m/s is the change in the speed of the hockey pack.

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According to the question the speed of pulse is = 0.33m/s

Velocity is the pace and direction of either an object's movement, whereas speed is now the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed would be a scalar value. If you determine how far an object travels in a certain amount of time, you can calculate its speed.For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour .

The equation for speed can be obtained by simply dividing time by distance.

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Answer: The force between the two asteroids is 2.25 x 10^-5 N. ✅

PLEASEEEE GIVE BRANLIEST

Explanation:

The force between two objects in space can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where:

F = force between the two objects

G = gravitational constant (6.67 x 10^-11 Nm^2/kg^2)

m1 = mass of object 1

m2 = mass of object 2

r = distance between the two objects

So, in this case:

F = 6.67 x 10^-11 Nm^2/kg^2 * (34000 kg * 15000 kg) / (67000 m)^2

To calculate the force between the two asteroids, we need to substitute the values for m1, m2, and r into the formula.

F = 6.67 x 10^-11 Nm^2/kg^2 * (34000 kg * 15000 kg) / (67000 m)^2

F = (2.25 x 10^-5 N)

So the force between the two asteroids is 2.25 x 10^-5 N.

The shopping car is traveling  with speed of  13.40 m/s after that point.

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Due to having both direction and magnitude, it is a vector quantity.

Acceleration of the cart = 23 Newton/10 kg = 2.3 m/s²

Hence, Final speed of the cart after traveling 39 m is = √(2 ×2.3 ×39) m/s

= 13.40 m/s.

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Hey there!

Answer:

9.4 million kilometers (km) converted to light years would be 9.93580784e-7 I believe.

Hope this helps!

The force applied to the car of mass 1560 kg is 1365 N.

Force is the product of mass and acceleration.

To calculate the force applied to the car, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force applied is 1365 N.

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For a rectangular prism, the expression volume is calculated as V = l ⋅ w ⋅ h , where l is the length, w is the width, and h is the height of the rectangular prism.

It is much simpler to calculate the surface area and volume of a rectangular prism once it is understood that this type of prism is composed of some sets of identical forms.

The volume of a rectangular prism may be calculated by multiplying its length by its breadth by its height. The surface area of a rectangular prism can be calculated by adding the areas of each of its sides.

If you are familiar with the formulas for the surface area and volume of a rectangular prism, it will be much simpler for you to deal with different geometric shapes.

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Moving in a vertical circle If the distance is calculated using a fixed point, it will be the same everywhere. The ball needs to travel around the circle at a minimum speed of 44.1 m/s.

The vectorial expression of velocity is the movement in space-time of an object or particle. The recognised unit of velocity magnitude is the metre per second (m/s) (also known as speed). The rate of speed can also be expressed in centimetres per second (cm/s). The pace at which an object's location changes as seen from a certain angle and as stated by a specific time unit (for example, 60 km/h northbound) is measured by its velocity, which is the direction in which it is travelling.

As a physical vector quantity, velocity must have a specified magnitude and direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or ms1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). A vector is "5 metres per secon.

The vertical circle has a radius of 0.90 metres.

As the ball rotates vertically and continuously in a circular motion. As a result, the ball will move at the same speed at each point.

Consequently, the centripetal force ought to be constant at each location, that is,

mv2/R

Here, m stands for mass. R is the radius, and v is the speed.

The tension operating on the ball (towards the centre) and the gravitational force acting on it counteract this centripetal force. Thus,

mv2/R=T+mg

The tension should be zero for the minimal velocity. Thus,

mv2/R=mg

Simplify it as,

V2/R=g

V=√Rg

Assume that V is the initial velocity.

1/2mv2=mg(2R)+1/2m(√(gR^2 )

V=√5gR

G's squared value is 9.8 m/s. The ball must therefore move at a minimal speed in order to complete the circle:

V=5×9.8×0.90

V=44.1m/s

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Answer: Fusion

Explanation:

This is the process when two atoms collide and combine to make a bigger atom.

An example could be land pollution, like when you see garbage and plastic littered across the grass/sidewalk