A car drives 16 miles south and then 12 miles west. What is the magnitude of the car's displacement?

Answer: 0.390625 grams

Explanation:

A half-life of an element is the amount of time that it takes for half the mass of the element to decay.

Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.

If there are 20 days, find out how many half-life periods there are:

= 20 / 2.5

= 8 periods

The half life is:

= Original mass * 0.5^number of half-life periods

= 100 * 0.5⁸

= 0.390625 grams

The distance CE is called the altitude of the triangle ABD.

In mathematics, the distance CE is called the altitude of the triangle ABD.

An altitude is a line segment drawn from the vertex of a triangle to the opposite side, and it is perpendicular to that side.The altitude CE divides the triangle into two smaller right triangles, ACE and BCE.

The length of the altitude can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

To find the length of the altitude CE, you would use the Pythagorean theorem on either of the right triangles.

For example, using the right triangle ACE, you would have:

AC² + CE² = AE²

Where AC is the length of one of the legs of the triangle, CE is the length of the altitude, and AE is the length of the hypotenuse.

By rearranging this equation, you can solve for CE:

CE² = AE² - AC²CE = √(AE² - AC²)

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Answer:

In which school you are???

Explanation:

When two magnets are close to each other, the magnets experience a repulsive or attractive force. The magnetic field strength is affected by the orientation of the magnet.

The direction in which the bar magnet obtains its maximum magnetic property is called the orientation of the magnet. The magnetic field strength depends on the orientation of the magnet.

The magnetic field lines emerge from the north pole and end in the south pole. When the two bar magnets of opposite poles face each other, an attractive force will be produced and magnetic field strength increases.

When the bar magnet of the same poles faces each other, repulsive force will produce and magnetic field strength decreases. Hence from the orientation of the bar magnet,  the magnetic field strength gets affected.

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Angle of projection of the dart = 60°

initial velocity of the dart = 14.1 m/s

Using basic trigonometry, we can see that:

Vertical component of the Dart = 14.1*Sin 60° = 12.2 m/s

Horizontal component of the Dart = 14.1*Cos 60° = 7.05 m/s

Explaining the concept:

Once the dart is in mid-air, there will be no force that will reduce its horizontal velocity

So, the dart will be moving at a constant horizontal velocity of 7.05 m/s

but the force of gravity will be applied on the dart while mid-air and will pull it downwards with an acceleration of 9.8 m/s²

Hence, the time the dart will be aloft is the same as the time taken by the dart to reach the ground if we threw it vertically upwards at a velocity of 12.2 m/s

Solving for the time taken for the dart to reach the ground:

initial velocity = 12.2 m/s          

velocity at max height = 0 m/s      

acceleration = -9.8 m/s

time taken to reach max height:

v = u + at            using the first equation of motion

replacing the variables

0  = 12.2 + (-9.8)t

t = -12.2 / -9.8

t = 1.24 seconds

Time taken to reach the ground:

time taken to reach the ground = 2 * time taken to reach max height

(Since the dart will take the same time to come back down)

Time taken to reach the ground = 2 * 1.24

Time taken to reach the ground = 2.48 seconds

Therefore, the dart will hit the ground and stop 2.48 seconds after throwing

Explaining the concept:

From newton's second equation of motion

s = ut + 1/2 at²

Since we need the max vertical height, we need the vertical component of the values,

so this equation can be rewritten for vertical height as :

s(vertical) = u(vertical)* t + 1/2 * a(vertical) * t²

from the last section, we know that the dart reaches its maximum height at  t = 1.24 seconds

replacing the values in this equation:

s(vertical) = (12.2 * 1.24) + 1/2 * (-9.8) * (1.24)²

s(vertical) = 15.128 + (-7.5)

s(vertical) = 7.63 m

Therefore, the maximum height of the dart is 7.63 m

Explaining the concept:

The range of the dart is the horizontal distance covered by the dart

from the second section, we know that the dart travels horizontally with a constant velocity of 7.05 m/s

from the third section, we know that the total time taken by the dart to hit the ground is 2.48 seconds

Since the horizontal velocity of the dart is constant, we can say that it moved horizontally for 2.48 seconds at a constant velocity of 7.05 m/s

Solving for the range:

s = ut + 1/2 at²            From the second equation of motion

this equation can be rewritten for horizontal distance as:

s(horizontal) = u(horizontal)* t + 1/2 (a)(t)²

The dart is moving at a constant velocity, that means that its acceleration is 0

s(horizontal) = u(horizontal)* t + 1/2 (0)(t)²

s(horizontal) = u(horizontal)* t

replacing the variables

s(horizontal) = 7.05 * 2.48   [here, 2.48 is the time taken by the dart to reach the ground and stop]

s(horizontal) = 17.484 m

The horizontal distance covered by the dart is 17.484 m

Therefore, the range of the dart is 17.484 m

Answer:

time =  2.49 s

max height = 7.61 m

range = 17.57 m

See below for exact values.

Explanation:

Since we are given the angle at which the object is tossed, this object is in projectile motion.

We are given the initial velocity of the dart, and we can use the angle to solve for its horizontal and vertical components.

Horizontal component:

Vertical component:

In order to find the time that the dart stays in the air, we can use the constant acceleration equation that does not include displacement. This equation is:

Since we solve for time using the vertical motion of the projectile, we will use this equation in terms of the y-direction.

We don't know what the final velocity of the dart when it reaches the ground is, but we do know that its final velocity when it reaches its maximum height is 0 m/s.

Therefore, we can solve for half of the full time that it takes the object to reach the ground, and double this value at the end.

Let's set the downwards direction to be negative and the upwards direction to be positive.

Using our knowledge and previous calculations, we know that:

The acceleration of gravity is in the y-direction and facing downwards, so that's why it is -9.8 m/s².

Substitute these values into the constant acceleration equation.

Subtract 14.1 * sin(60) from both sides of the equation.

Divide both sides of the equation by -9.8 to solve for t.

Now, this is only the time for half of the object's trajectory. Double it to find the total time the dart is aloft:

The dart is in the air for a total of 2.49 seconds.

We can find the maximum height of the dart by using another constant acceleration equation.

Since we don't have the final velocity of the object, we can use this equation:

Subtract \(x_i\) from both sides to get the change in position, or delta x.

In order to find the maximum height, we need to use this equation in terms of the y-direction.

Remember that time is the same regardless of the x- or y- direction.

Now, we can solve for the displacement in the y-direction by plugging in the values that we know.

Note that we are using half of the time t, since this is where the maximum height occurs.

Plug these known values into the constant acceleration equation:

The maximum height of the dart is 7.61 meters.

Finding the range of the object in projectile motion involves the same constant acceleration equation, but this time we are solving for the displacement in the horizontal direction (x-direction). Therefore:

We know the horizontal component of the initial velocity vector, which is what we will be using.

The acceleration, of an object in projectile motion, in the x-direction is always 0 m/s².

We will use the full time of the object since we want to find the entire horizontal distance that the object covers. We have:

Plug these values into the constant acceleration equation.

The range of the dart is 17.57 meters.

Given:

The velocity of the first car is: u = 35 m/s

The velocity of the second car is: v = 28 m/s

To find:

a) The relative velocity of the first car with respect to the frame of reference of the second car

b) Change in the relative velocity of the cars

Explanation:

a) As both cars are moving in the same direction westward, the relative velocity of these cars is given as the difference between their velocities.

For every one second, the first car covers a distance of 35 m while the second car covers a distance of 28 m. Thus, the velocity of the first car with respect to the frame of reference of the second car is determined as:

b) As both the cars are moving in the same direction with the velocity of the first one being greater than the velocity of the second one. For every one second, the first car will always be 7 m away from the second car for every one second. Thus, these cars will not cross each other and their relative velocity will remain the same.

Final answer:

a) The velocity of the first car with respect to the frame of reference of the second car is 7 m/s.

b) The relative velocity of the cars will not change.

The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.

Answer:

The characteristics that determine how easily two substances change temperature are:

The volume and density of the substances and the amount of time they are in contact do not directly affect how easily they change temperature.

Explanation:

The given statement is true.

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The work done on the object as it moves from a distance of 0.0m to 2.0m is 40 J.

Work done is defined as the product of the force applied and the distance moved by the force.

The unit of work done is Joules.

Based on the graph:

When the object moves from 0.0 m to 2.0 m

The force applied between 0.0 m to 2.0 m is 20 N

Hence, the work done will be:

Work done = 20 * 2.0

Work done = 40 J

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Answer:

4 Km/hr

Explanation:

Data obtained from the question include the following:

Mass of ball (Mb) = 15 Kg

Velocity of ball (Vb) = 20 Km/hr

Mass skater (Ms) = 60 Kg

Velocity of skater (Vs) = 0 Km/hr

Velocity after collision (V) =..?

Thus, we can obtain the velocity after collision as follow:

MbVb + MsVs = V(Mb + Ms)

(15 x 20) + (60 x 0) = V (15 + 60)

300 + 0 = 75V

300 = 75V

Divide both side by 75

V = 300/75

V = 4 Km/hr.

Therefore, the velocity after the collision is 4 Km/hr.

Echo is determined by how sound waves are reflected back a hard object, such as the multipurpose hall's walls, reflects sound waves well.

The following conditions must be met in order for an echo to occur:

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Answer:

Convection currents

Explanation:

As hot air cools it sinks back to the surface of the earth, where it gets warmed by the ocean only to rise again. This is called a convection current. Convection currents are defined as room air rising and cold air sinking

~Hope this helps

~Bre

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;

Take moment about the joint to determine the magnitude of the force along part BC.

120 kN x 750 mm  =  F x 1000 mm

F = ( 120 kN x 750 mm ) / ( 1000 mm )

F = 90 kN

Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.

Stress in AB = 2 times stress in BC

P/A₁  = 2F/A₂

where;

A₁ =  πd²/4  =  π(50 x 10⁻³)²/4

A₁ = 1.96 x 10⁻⁵ m²

A₂ = πd²/4  =  π(75 x 10⁻³)²/4

A₂ = 4.42 x 10⁻³ m²

P/A₁ = 2F/A₂

P = (2F x A₁) / (A₂)

P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = 798.2 N

P = 0.798 kN

P ≈ 0.8 kN

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Resistance of snorkeler, R = 605 Ω.

Current, I = V/R 500/605  = 0.83 A

⇒ I = 0.83 A.

The flow of charge across the cell membrane creates an electric current. Cells control the flow of specific charged elements across membranes using proteins that reside on the cell surface and create openings for specific ions to pass through. These proteins are called ion channels.

For example, if there is a voltage difference between one arm and the other a current will flow through the body. The human body has a higher impedance to DC current than to its AC current. That is, a person can withstand the effects of an electric shock caused by a DC voltage more than he can by an AC voltage. It interferes with the normal functioning of the nervous and muscular systems, causing severe muscle contractions.

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The heat loss from the object in 10 minutes is -0.26 * 10⁻⁹ J.

How can Heat loss from an object be calculated?

Heat loss can be calculated using this formula:

Q/t = oeA {(T₂)⁴ - (T₁)⁴}

It can be found that:

Q = heat loss in joules

t = time in seconds, 10 minutes = 600 seconds

σ = (5.67 x 10⁻8J/s . m² . K⁴)

e = emissivity, 0.9

A = surface area of 1.8 m²

T₂ = temperature of a room,  288 K

T₁ = temperature of an object, 329 K

To find Q which is heat loss,

where,

Q = oeA {(T₂)⁴ - (T₁)⁴}

Q = oeA {(T₂)⁴ - (T₁)⁴}(t)

Q = (5.67 x 10⁻8J/s . m² . K⁴) (0.9) (1.8) (288K⁴ - 329K⁴)(600)

Q = (5511.24){(288)⁴ - (329)⁴}

Q = (5511.24){(6879707136) - (11716114081)}

Q = (5511.24) (-4836406945) = -26652356.64

Q = -0.26 * 10⁻⁹ J

Therefore, the heat loss will be -0.26 * 10⁻⁹ J.

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Answer:

a pandemic?

Explanation:

i dont know if there is like a A answer and it can kill lot of people

Answer: Initial Velocity

Explanation:

The formula is:

Δx = Vit + 1/2at^2

Therefore the initial velocity is zero

Answer:

Fossil fuels are energy sources that come directly from nature. First, the sun's radiant energy is stored as chemical energy in plants by photosynthesis. When the plants die, they start decaying. After many years, the plants are turned into fossil fuels.

Explanation:

Fossil fuels rely on the Sun's energy because the energy in fossil fuels came from plants and algae as they performed photosynthesis, which requires sunlight.

When sunlight strikes a plant, some of the energy is trapped through photosynthesis and is stored in chemical bonds as the plant grows.

(u should paraphrase it)

Answer/Explanation:

A timeline of atomic models

Because of friction and air resistance, every moving object will eventually come to rest unless a continuous net force is applied to it.

Friction is the opposition offered to motion of a body over another body.

Friction can either be:

The law of inertia states that an object will remain in its state of rest or state of motion in a straight line unless acted upon by an external force.

However, due to friction and air resistance, every moving object will eventually come to rest unless a continuous net force is applied to it.

In conclusion, moving objects come to rest because of friction and air resistance.

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To better understand crash dynamics we have to look at "the laws of motion."

The laws of motion

The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.

It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.

Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.

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The perpendicular force exerted by the incline on the car is Fw cosθ.

Normal reaction force is defined as a contact force that is exerted by the surface on an object which is in contact with it. It prevents the object from passing through the surface.

Here,

Weight of the car is Fw

The incline makes an angle θ with the horizontal.

From the figure,

The perpendicular force exerted by the incline, N = Fw cosθ

Hence,

The perpendicular force exerted by the incline on the car is Fw cosθ.

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Answer:

Hydrogen has an Atomic number of 1

Symbol: H