Compare relative age with absolute age.

Answers

Answer 1

Answer & Explanation:

Relative age is the age of a rock layer (or the fossils it contains) compared to other layers. It can be determined by looking at the position of rock layers. Absolute age is the numeric age of a layer of rocks or fossils.


Related Questions

Match the characteristic or descriptive phrase to the type of application it describes. sound waves soft-tissue imaging electromagnetic wave fetal imaging

answer:
ultra sound
mri
mri
ultra sound

Answers

The answer is ultra sound

Match the characteristic or descriptive phrase to the type of application it describes.

sound waves

✔ ultrasound

soft-tissue imaging

✔ MRI

electromagnetic wave

✔ MRI

fetal imaging

✔ ultrasound

Match the characteristic or descriptive phrase to the type of application it describes.

sound waves

✔ ultrasound

soft-tissue imaging

✔ MRI

electromagnetic wave

✔ MRI

fetal imaging

✔ ultrasound

Answer:

Explanation:

trust

How does Newton's first law of motion affect people in a car crash?​

Answers

Answer:

When the car crashes there is no balanced force acting on the person so they continue forward in the car

Explanation:

Suppose you are given a position versus time graph. The slope of a line tangent to a point on the curve of this graph describes what quantity?
A: Displacement
B: acceleration
C:Instantaneous velocity
D: position
Alo tell me why it’s the answer that it is

Answers

The answer is C.) Instantaneous velocity

Answer:

Explanation: ur answer is c. If I remember correctly. thnx

How can you use graphs to calculate the displacement of an object?
O
A. Find the area under the position-time graph
O
B. Find the slope of the position-time graph
O
C. Find the area under the velocity-time graph
O
D. Find the slope of the velocity-time graph

Answers

Answer:

C

Explanation:

The order is this: Displacement --> Velocity --> Acceleration.  The velocity directly affects the displacement and the acceleration directly affects the velocity. (changing the acceleration changes the velocity which also changes the displacement).

To go forward in our order, find the slope of the curve/line.  To go backwards, find the area under the curve/line.  In this case, we are trying to find the displacement of the object, so we should find the area of a velocity-time graph.

Final answer:

To calculate the displacement of an object using graphs, you can either find the area under the position-time graph or the slope of the velocity-time graph.

Explanation:

To calculate the displacement of an object using graphs, you can use two different methods:

Find the area under the position-time graph: By calculating the area under the curve of the position-time graph, you will determine the displacement of the object. The area represents the distance traveled.Find the slope of the velocity-time graph: The slope of the velocity-time graph represents the object's acceleration. By integrating the acceleration function, you can determine the velocity. Then, by integrating the velocity function, you can find the displacement.

Therefore, the correct options are A and D.

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How many coulombs of positive charge are there in 47.0 gm of plutonium, given its atomic mass is 244 and that each plutonium atom has 96 protons?

(enter answer to three significant figures and in the exponent form: Example,

1.38e5)

Answers

Answer:

1.78×10⁶ C

Explanation:

Using the atomic mass of pluonium atoms (244 g/mol), you can calculate the number of atoms in 47.0 g. Then, knowing that each plutonium atom has 96 protons, you calculate the number of protons in the 47.0 g sample. Finally, using the positive charge of one proton, you calculate the total positive charge in the 47.0 g of plutonium.

1. Number of atoms of plutonium in 47.0 g

Number of moles = mass / atomic mass = 47.0 g / 244 = 0.1926 moles

Number of atoms = number of moles × 6.022 × 10²³ atoms/mol

Number of atoms = 0.1926 mol × 6.022 × 10²³ atoms/mol = 1.15998×10²³ atoms

2. Number of protons

Number of protons = 1.15998×10²³ atoms × 96 protons/atom = 1.11385×10²⁵ protons

3. Charge

Charge = charge of one proton × number of protons

Charge = 1.602×10⁻¹⁹ C/proton × 1.11385×10²⁵ protons = 1.78×10⁶C

The acceleration from gravity on the moon is 1.6 m/s. How much less force
would you apply standing on the moon?​

Answers

Answer:

We use the relationship F = m x a, adapted for Weight: W = m x g

Weight is the force, m is the mass and g is the acceleration of gravity. Take an example: you are 100 kg made up of 70 kg of body mass and 30 kg of space suit. Your weight on the Moon would be 100 kg x 1.62 m/s^2 = 162 Newtons (weight force).

On Earth that would be a Weight of 100 kg x 9.81 m/s^2 = 981 Newtons.

Explanation:

The weight on the moon will be 162 Newtons.

What is weight?

The force exerted on an object by gravity is known as the weight of the object in science and engineering. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull.

We use the relationship F = m a, adapted for Weight: W =  mg

Weight is the force, m is the mass and g is the acceleration of gravity. Take an example: you are 100 kg made up of 70 kg of body mass and 30 kg of a space suit.

Your weight on the Moon would be 100 kg x 1.62 m/s²= 162 Newtons (weight force).

On earth that would be a Weight of 100 kg x 9.81 m/s² = 981 Newtons.

Therefore, the weight on the moon will be 162 Newtons.

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A wire 25.2 cm long is at right angles to a
0.219 T uniform magnetic field. The current
through the wire is 6.04 A.
What is the magnitude of the force on the
wire?
Answer in units of N.

Answers

The magnitude of the force on the wire is 0.33 N

Explanation:

Whenever a current-carrying electrical wire is placed during a field of force, a force is exerted on the wire. The formula for force depends on length(m), current(I) and magnetic field(B).

The length vector depends on the direction of the present flow. The unit of force is Newtons (N), the unit of current is Ampere (A), the unit of length is the meter (m), and therefore the unit of the field of force is Tesla (T). The direction of the force vector will be found mistreatment the "right-hand rule".

The magnitude of force = (current)*(magnetic field)*(length)

                                         = (6.04) * (0.219) * (0.252) = 0.33 N

Explain why the height of the liquid column in a barometer changes as atmospheric pressure changes.

Answers

Answer:

Explanation:

760 mm: Because mercury (Hg) is about 13.6-times denser than water, a mercury barometer only needs to be as tall as a water barometer—a more suitable size. Standard atmospheric pressure of 1 atm at sea level (101,325 Pa) corresponds to a column of mercury that is about 760 mm (29.92 in.) A height of a liquid column will get increased or decreased according to the force of the atmospheric pressure. ... Pressure (P) is inversely proportional to Area (A). So if the area of the column is lesser then Force (F) of the atmospheric pressure is greater

2. Does the bowling ball have more potential energy or kinetic energy as it is half way through its fall
.

Answers

Answer:

Equal

Explanation:

Recall that KE = 1/2(m)(v²) and PE = mgh, where m is mass, g is gravity, v is velocity, and h is height.

When the bowling ball is first dropped, it has a maximum potential energy but minimum kinetic energy.  The height is max, so the potential energy will be greatest.  Velocity is 0, so kinetic energy will be 0.

When the bowling ball is half way through its fall, the height will be half the initial height and the velocity will be half of the final velocity.

When the bowling ball is at the bottom and reaches the ground, the height is 0 so potential energy is 0 while the kinetic energy is max because velocity is the greatest.

Answer:

I think that it is kinetic because it is gaining speed through out it's fall.

How much energy is received by earth per second per unit area ?​

Answers

Answer:

The approximate average value cited, 1.3608 ± 0.0005 kW/m², which is 81.65 kJ/m² per minute, is equivalent to approximately 1.951 calories per minute per square centimeter, or 1.951 langleys per minute.

Explanation:

What is 52,427 equal in scientific notation

Answers

Answer: 5.2427 x [tex]10^{4}[/tex]

Explanation: To write a number in scientific notation, first write a decimal point in the number so there is only 1 digit to the left of the decimal point.

So here, we have 5.2427 and notice that there is only 1 digit to the left of the decimal point. Next, we count the number of places the decimal point would need to move to get back to the original number 52,427.

Since we would need to move the decimal point 4 places to the right, we have an exponent of positive 4.

Now, Scientific notation is always expressed as a number times a power of 10. So in this case we have 5.2427 x [tex]10^{4}[/tex].

So 52,427 can be written in scientific notation as 5.2427 x [tex]10^{4}[/tex].

You can write 52,227 as 5.2427×10-⁴

80N force ;
height: 5m
it reaches a final velocity of 4 m/s

(no mass given)

wanted : power of the engine

Answers

The power of the engine is 320 W.

Explanation:

Power may be defined as the rate of doing work (or) work done per unit time. One unit of energy is used to do the one unit of work.

                          Power = Work done / Time taken

Given, Force = 80 N,    height = 5 m , final velocity = 4 m/s

To calculate the power, we must know the time taken.

To find the time, use the distance and speed formula which is given by

                              Time = Distance / speed

Here distance = 5 m and speed = 4 m/s

                              Time = 5 / 4 = 1.25 s.

Now,          Power = work done / time

                              = (F * d) / t  = (80 * 5) / 1.25

                  Power = 320 W.

The standard unit of power is watt (W) which is joule per second.

                                                               

At what vertical velocity should no object be launched at in order to achieve a height of 20m?​

Answers

Answer:

19.8 m/s

Explanation:

Given:

Maximum vertical displacement of the object (H) = 20 m

Acceleration due to gravity (g) = 9.8 m/s²

At maximum height, the velocity of the object is 0 m/s for a moment. So, final velocity (v) at the maximum height is 0 m/s.

Now, let the initial velocity or velocity at launch be 'u' m/s.

Now, using the following equation of motion for vertical motion:

[tex]v^2=u^2-2gH[/tex]

Rewriting in terms of 'u', we get:

[tex]u^2=v^2+2gH\\\\u=\sqrt{v^2+2gH}[/tex]

Plug in the given values and solve for 'u'. This gives,

[tex]u=\sqrt{0+2\times 9.8\times 20}\\\\u=\sqrt{392}\\\\u=19.8\ m/s[/tex]

Therefore, the vertical velocity at the launch is 19.8 m/s.

How far does a car move when it travels 60mph for 4hours?​

Answers

Answer: 240 miles

Explanation: 60 times 4 is 240

may i get a brainliest or no? haven't got one in a while

Which of these is a good example of Newton's First Law of inertia

Answers

Answer:

Its is A

Explanation:

Which of these is a good example of Newton's First Law of inertia  

 

A)  

a ball sits motionless on the ground  

B)  

a ball gathers speed as it rolls downhill  

C)  

a ball accelerates as it falls out of the classroom window  

D)  

a ball slows down after it is kicked through the grass

Final answer:

A ball at rest exemplifies Newton's First Law of inertia, as it will remain stationary unless acted upon by an external force. Other options involve external influences such as gravity and friction, which cause changes in motion.

Explanation:

Newton's First Law, often referred to as the law of inertia, dictates that an object will remain at rest or move at a constant velocity unless acted upon by a net external force. One of the choices that best exemplifies this concept is: A) a ball sits motionless on the ground.

This scenario shows that the ball will stay at rest since there is no external force causing it to move. In contrast, the other options involve accelerating, decelerating, or being under the influence of gravity, indicating that there are external forces at play.

To further illustrate this principle, consider when a ball is kicked through the grass and begins to slow down as in option D). It is the frictional force acting opposite to the direction of motion that causes the ball to decelerate. If there was no friction or other net external force, the ball would continue to move at a constant velocity in a straight line, a concept rooted in the First Law of inertia.

The mass of an object is a measure of its inertia. This means that heavier objects (greater mass) require more force to change their state of motion. Therefore, two balls with the same size but different masses, when subjected to the same force, will not travel the same distance due to the difference in inertia.

A 0.10kg hockey puck decreases it’s speed from 40m/s to 0m/s in 0.025s. Determine the force that it experiences

Answers

vf = vi + at
0m/s = 40m/s + a(0.025s)
a = -1600m/s^2

Fnet = ma
Fnet = (0.10kg)(-1600m/s^2)
Fnet = -160 N


hope that helps

What is the electric force acting between two charges of 0.0042 C and
-0.0050 C that are 0.0030 m apart?
Use F. - k9192 and k=9.00 x 10°N VIC

Answers

The electric force acting between the two charges is - 2.1 * 10^10.

Explanation:

An electric force is exerted between any two charges. Objects with the same charge, having both positive negative charges repel each other, and objects with opposite charges will attract each other.

The formula for finding the electric force is given by,

                              F = (k q1 q2) / r^2  

                                 = (9 * 10^9)(4.2 * 10^-3)(-5 * 10^-3) / (3 * 10^-3)^2

                             F = -2.1 * 10^10.

any object that attracts iron is a(n)

Answers

Any object that attracts iron is a(n)

Explanation:

Any object that attracts iron is called  as Magnet .

Magnet

It  is an object which attracts pieces of iron, steel etc towards itself.  

Magnets made are of diff. shapes like :

Bar magnet- long rectangular piece of magnet  

 Horse shoe shaped- U shaped magnet  

 Magnetic needle  

Magnetic compass :

  Some facts about magnets:-  

• When magnet is freely suspended it always align towards north-south direction    

• Like poles always repel  & opp. poles attract each other.  

• Magnet always exist as dipole  

• Two poles can never be separated : if we try to cut it then still both the poles will exist even ina small piece of magnet .it automatically develops the lost polarity  

 Magnet always develop certain area around it where its effect can be felt ie. magnetic field.  

Which of the following elements most likely has the highest boiling point?
a. aluminum
b. chlorine
C. argon
d. phosphorous

Answers

Answer:

Explanationalluminiim

a) aluminium

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The motion of roller coasters depends upon the conversion of potential and kinetic energy. A 100-kg car starts from rest at the top of a hill with a height of 50 m. Which of the following is this car's kinetic energy at the bottom of the hill?

Answers

Answer:

K=49,000 Joule

Explanation:

Kinetic and Gravitational Potential Energy

The principle of conservation of the mechanical energy states that the mechanical energy of a system of particles remains unaltered unless some external non-conservative forces acting on the system.

The total mechanical energy present in the roller coasters is the sum of their kinetic and gravitational potential energies:

[tex]\displaystyle ME=\frac{m.v^2}{2}+m.g.h[/tex]

If the roller coaster decreases its height, the speed will increase and compensates for the loss of potential energy. If the roller coaster increases its height, it will go slower and eventually stop until running out of kinetic energy.

We know the car starts from rest at the top of the hill of 50 m. This implies that the mechanical energy is

[tex]\displaystyle ME=\frac{100.0^2}{2}+100.(9.8).(50)=49,000\ J[/tex]

When it reaches the bottom of the hill, the potential energy is zero, thus the car has only kinetic energy.

Kinetic energy at the bottom = 49,000 Joule

Final answer:

The roller coaster's potential energy at the top of the hill is converted to kinetic energy at the bottom. Assuming no energy losses, the car's kinetic energy at the bottom is 49050 J, equal to the potential energy it had at the top.

Explanation:

Understanding Energy Conservation in a Roller Coaster

The question addresses the principle of energy conservation in physics, particularly as it pertains to a roller coaster's movement. When the roller coaster is at the top of a hill, it possesses a maximum amount of gravitational potential energy due to its position. As it descends, this potential energy is converted into kinetic energy, which is dependent on the mass and velocity of the coaster car. To find the kinetic energy at the bottom of the hill, we can use the equation KE = ½mv², where m is mass and v is velocity.

To determine the kinetic energy at the bottom, we first need to calculate the potential energy at the top. The potential energy (PE) can be found using the formula PE = mgh, where g is the acceleration due to gravity (approximately 9.81 m/s² on Earth) and h is the height. For a roller coaster car with a mass of 100 kg at a height of 50 m, the potential energy is PE = 100 kg × 9.81 m/s² × 50 m, which equates to 49050 J (joules). Assuming no energy is lost to friction or air resistance, this potential energy will be entirely converted into kinetic energy at the bottom of the hill.

Thus, the car's kinetic energy at the bottom equals the potential energy at the top, which is 49050 J.

State ohm’s law Q.34.7

Answers

Ohm's law states that: [tex]V=RI[/tex]

Explanation:

Ohm's law states that in a conductor, the potential difference across the conductor is directly proportional to the current flowing through it. Mathematically,

[tex]V \propto I[/tex]

where

V is the potential difference

I is the current

The constant of proportionality is called resistance (R), and it gives a measure of "how much the conductor opposes" to the flow of current. Therefore Ohm's law can be rewritten as

[tex]V=RI[/tex]

where R is the resistance. By rewriting the equation as

[tex]I=\frac{V}{R}[/tex]

we see that the larger the resistance, the lower the current in the conductor.

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The Milky Way is the name of the _______ where the Earth is located. A. orbit B. universe C. galaxy D. solar system

Answers

The name of the Milky Way in which planet Earth is located is Galaxy.

A Galaxy is a collection of billions or millions of stars, as well as dust and gas, that is gravitationally bound together by a super-massive black hole at its center. The Greek term galaxies, which translates to "milky" and refers to the Milky Way.

There are solar systems within galaxies. Our Solar system is a part of the Milky Way galaxy. Our solar system contains the planet Earth, where we reside. In summary, your planet is located in the Milky Way. It is only a tiny portion of the Milky Way Galaxy.

So, Milkyway is the galaxy in which we live or our planet Earth is a part of.

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If a car is traveling at an average speed of 60 kilometers per hour, how long does it take to travel 12 kilometers?
a. 0.2 hour b. 0.5 hour c. 0.72 hour d. 5.0 hours

Answers

Answer: 0.2 hour

Explanation:

Speed = Distance / Time

Time = Distance / Speed

= 12/60

= 0.2 hour

The travel time for 12 kilometers at an average speed of 60 kilometers per hour, divide the distance by the speed, resulting in 0.2 hours, which is option (a).

If a car is traveling at an average speed of 60 kilometers per hour, to calculate how long it takes to travel a certain distance, you can use the formula: time = distance/speed.

To find out how long it takes to travel 12 kilometers:

Time = Distance/ Speed

= 12 km/60 km/h

= 0.2 hours

Therefore, the correct answer is (a) 0.2 hours.

What will happen in the diagram if a lightbulb
placed at D and B is closed?

•The lightbulb will be off.
•The lightbulb will be dimmer than
normal.
•The lightbulb will be on.
•The lightbulb will be short circuited.
ingle

Answers

Answer:

Explanation:

There is no other resistance in the circuit.  It is as though B was a wire. The light bulb with show its normal brightness with a voltage of A. So the answer is C

A: the lightbulb will light A is incorrect.

B: is incorrect. It will be as bright as is normal for bulb and battery

D: is incorrect. If the switch were placed across D, then the light bulb would be shorted out.

determine the percent yield of copper by dividing the actual yield (in moles) by the theoretical yield (in moles). percent yield = %

Answers

Answer:

79% is = to the percent yield

Answer:

79

Explanation:

Using the periodic table and your knowledge of atomic structure. Draw a conclusion about the number of neutrons in Carbon-14 relative to a typical carbon atom.

A)
The same number of neutrons. All carbon atoms have atomic number 6.


B)
The periodic table cannot give you the information needed to answer this question.


C)
It has less neutrons. Its mass number is smaller than the one on the periodic table.
Eliminate

D)
It has more neutrons. Its mass number is larger than the atomic mass number for carbon.

Answers

D)

It has more neutrons. Its mass number is larger than the atomic mass number for carbon.

Explanation:

We can see that all the isotopes of Carbon occupies the same slot in the periodic table and thus the same periodic number.

Atomic number of carbon = 6

Periodic Table gives us the information of Atomic number and mass number of atoms of an element.

Atomic number does not give any information about the number of neutrons of an atom. Atomic number of an element is the number of protons in the nucleus of each atom of that element.

Mass number is defined as the total number of protons and neutrons in an atom. Mass number of a typical carbon atom is equal to 12.

Isotopes are variants of a particular chemical element which differ in number of neutrons. Hence, the mass number of different isotopes of the same element varies and gives us information about the number of neutrons present in that atom at the same time.

The mass number of Carbon-14 is equal to 14.

Atomic number of C-14 = Protons in Carbon-14 = 6

Neutrons in Carbon-14 = Mass Number - Atomic Number

Neutrons in C-14 = 14-6

= 8

Whereas the number of neutrons in a typical Carbon-12 atom is equal to 6.

Keywords: Periodic Table, mass number, atomic number, carbon, isotopes

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Final answer:

Carbon-14 is an isotope of carbon that has more neutrons than the typical carbon atom, containing 8 neutrons compared to a normal carbon atom's 6.

Explanation:

Using the periodic table and understanding the atomic structure, we can conclude that the Carbon-14 isotope has more neutrons than a typical carbon atom. An atom's atomic number corresponds to the number of protons it has, which for carbon is 6. The number after the hyphen, in this case 14, represents its mass number (sum of protons and neutrons). When we subtract the atomic number from the mass number (14-6), it indicates that a Carbon-14 atom has 8 neutrons, which is 2 more than the typical carbon atom assuming it has 6 neutrons to match its 6 protons.

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Delivery drone approaches a customer's porch flying at 8.65 m above the porch at 21.5 km/hr. (a) at what horizontal distance from the desired landing spot should it release a package? (b) at what speed will the package hit the porch?

Answers

a) Horizontal distance covered: 8.0 m

b) The final speed is 14.3 m/s

Explanation:

a)

The motion of the package is a projectile motion, so it consists of two independent motions:  

- A uniform motion (constant velocity) along the horizontal direction  

- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction  

First of all, we have to find the time of flight of the package. This is given by the vertical motion, and we can do it by using the suvat equation:

[tex]s=u_y t+\frac{1}{2}at^2[/tex]

where:

s = 8.65 m is the vertical displacement of the package (the initial height from which is thrown)

[tex]u_y=0[/tex] is the initial vertical velocity (the package is thrown horizontally)

t is the time of flight

[tex]a=g=9.8 m/s^2[/tex] is the acceleration of gravity

Solving for the time of flight we find:

[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(8.65)}{9.8}}=1.33 s[/tex]

Therefore the package lands after 1.33 s.

Now we can study the horizontal motion: the package moves horizontally with a constant velocity of

[tex]v=21.5 km/h \cdot \frac{1000}{3600}=6.0 m/s[/tex]

And therefore the distance it covers in 1.33 s is

[tex]d=v_x t =(6.0)(1.33)=8.0 m[/tex]

So the package covers a horizontal distance of 8.0 m.

b)

As we said previously, the horizontal velocity of the package is constant, and it is

[tex]v_x = 6.0 m/s[/tex]

On the other hand, the vertical velocity is constantly changing, and it is given by

[tex]v_y = u_y + at[/tex]

where

[tex]u_y = 0[/tex] (initial vertical velocity)

[tex]a=g=9.8 m/s^2[/tex]

Substituting t = 1.33 s, we find the final vertical velocity:

[tex]v_y = 0 +(9.8)(1.33)=13.0 m/s[/tex] (in the downward direction)

Therefore, the final speed is given by:

[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{6.0^2+13.0^2}=14.3 m/s[/tex]

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Answer:

(a) [tex]x=7.93\ m[/tex]

(b) [tex]v=15.25\ m/s[/tex]

Explanation:

Horizontal Launching

When an object is released from certain height h with a (only) horizontal speed vo, it describes a curved trajectory with a constant speed in the horizontal direction and a variable speed in the vertical direction, constantly changed by the acceleration of gravity. Their equations are

[tex]v_x=v_o[/tex]

[tex]v_y=g.t[/tex]

The distances traveled in both directions are

[tex]x=v_o.t[/tex]

[tex]\displaystyle y=h-\frac{gt^2}{2}[/tex]

(a)

The package dropped by the drone will land when it travels down all its initial height, thus the flight time must comply:

[tex]\displaystyle 0=h-\frac{gt_f^2}{2}[/tex]

Solving for [tex]t_f[/tex] :

[tex]\displaystyle t_f=\sqrt{\frac{2h}{g}}[/tex]

The data is: h=8.65 m, v_o=21.5 Km/h = 5.972 m/s

[tex]\displaystyle t_f=\sqrt{\frac{2(8.65)}{9.8}}=1.33\ sec[/tex]

Thus, the horizontal distance is

[tex]x=(5.972)*(1.33)=7.93\ m[/tex]

[tex]\boxed{x=7.93\ m}[/tex]

(b)

The horizontal speed at landing time is (constant)

[tex]v_x=5.972\ m/s[/tex]

The vertical speed is

[tex]v_y=(9.8)*(1.33)=13.024\ m/s[/tex]

The magnitude of the total speed is

[tex]v=\sqrt{v_x^2+v_y^2}[/tex]

[tex]v=\sqrt{(7.93)^2+(13.024)^2}=15.25\ m/s[/tex]

[tex]\boxed{v=15.25\ m/s}[/tex]

8
car traveling at 120 km/h towards West makes a right turn and travels north without
changing its speed.
120 km/h
120 km/h
Using a vector diagram, find the magnitude and direction of the resultant velocity of the car. ​

Answers

Answer:

The resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.

Explanation:

Considering west direction along negative x-axis and north direction along  positive y-axis

Given:

The car travels at a speed of 120 km/h in the west direction.

The car then travels at the same speed in the north direction.

Now, considering the given directions, the velocities are given as:

Velocity in west direction is, [tex]\overrightarrow{v_1}=-120\ \vec{i}[/tex]

Velocity in north direction is, [tex]\overrightarrow{v_2}=120\ \vec{j}[/tex]

Now, since [tex]v_1\ and\ v_2[/tex] are perpendicular to each other, their resultant magnitude is given as:

[tex]|\overrightarrow{v_{res}}|=\sqrt{|\overrightarrow{v_1}|^2+|\overrightarrow{v_2}|^2}[/tex]

Plug in the given values and solve for the magnitude of the resultant.This gives,

[tex]|\overrightarrow{v_{res}}|=\sqrt{(120)^2+(120)^2}\\\\|\overrightarrow{v_{res}}|=120\sqrt{2} = 169.71\ km/h[/tex]

Let the angle made by the resultant be 'x' degree with the east-west line or the x-axis.

So, the direction is given as:

[tex]x=\tan^{-1}(\frac{|v_2|}{|v_1|})\\\\x=\tan^{-1}(\frac{120}{-120})=\tan^{-1}(-1)=-45\ deg(clockwise\ angle\ with\ the\ x-axis)[/tex]

Therefore, the resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.

she travels 5km north 3km east 1km north again what is the distance and displacement she walks 3hrs what is the average speed and average velocity


Answers

1) Distance: 9 km, displacement: 6.7 km at [tex]63.4^{\circ}[/tex] north of east

2) Speed: 3 km/h, velocity: 2.2 km/h at [tex]63.4^{\circ}[/tex] north of east

Explanation:

1)

Distance is the total length of the path travelled by an object, regardless of the direction of motion. It is a scalar quantityDisplacement is a vector connecting the initial position to the final position of motion of an object, so it also takes into account the direction

In this problem, the person travels:

5 km north

3 km east

1 km north

Therefore, the distance covered is simply the sum of these paths:

d = 5 + 3 +1 = 9 km

Instead, for the displacement we have to see what is the final position. The total displacement in the north direction is

[tex]d_y = 5 + 1 = 6 km[/tex]

While the displacement in the east direction is

[tex]d_x = 3 km[/tex]

Since the two are perpendicular in direction, we can find the length of the total displacement by using Pythagorean's theorem:

[tex]d=\sqrt{d_x^2+d_y^2}=\sqrt{3^2+6^2}=6.7 km[/tex]

And the direction is

[tex]\theta=tan^{-1}(\frac{d_y}{d_x})=tan^{-1}(\frac{6}{3})=63.4^{\circ}[/tex] north of east.

2)

The average speed of a body is a scalar quantity given by

[tex]speed=\frac{distance}{time}[/tex]

In this problem,

distance = 9 km

time elapsed = 3 h

Therefore, the speed is

[tex]speed=\frac{9 km}{3 h}=3 km/h[/tex]

The average velocity of a body is a vector quantity given by

[tex]velocity = \frac{displacement}{time}[/tex]

In this problem,

displacement = 6.7 km

time elapsed = 3 h

Therefore, the velocity is

[tex]velocity = \frac{6.7}{3}=2.2 km/h[/tex]

And the direction is the same as the displacement ([tex]63.4^{\circ}[/tex] north of east)

Learn more about distance, displacement, speed and velocity:

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#LearnwithBrainly

Humans cannot digest food without the aid of small single celled organisms that live in our digestive tract these small organisms help humans digest food by breaking down complex food molecules. Which common name is associated with theses single celled organisms that help humans digest food?

A virus
B protozoa
C bacteria
D algea

Answers

Answer:

bacteria

Explanation:

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