Metric Conversions:
1) 5KL = ?L
2) 3L = ?KL
3) 4g = ?Kg
4) 81Kg = ?g
5) 52dg = ?g
6) 3dm = ?m
7) 14mm = ?m

The current density of the copper wire is determined as 0.182 A/m².

The current density of a material is the amount of electric current flowing per unit cross-sectional area of a material.

The current density of the copper wire is calculated as follows;

J = I/A

where;

Substitute the given parameters and solve for the area of the wire,

A = πr²

where;

A = π(3.5 x 10⁻³)²

A = 3.85 x 10⁻⁵ m²

J = (7 x 10⁻⁶) / (3.85 x 10⁻⁵)

J = 0.182 A/m²

Thus, the current density of the copper wire is determined as 0.182 A/m².

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The correct answer is 10498.3.

The speed of an object is calculated when it moves from one spot to another in time interval t by dividing the distance between the two locations by the time interval. As a result of this definition, the longer it will take the object to travel the specified distance, the greater the separation between the two points.

x = x_0 + (v_x) t

In case of cheetah:

x_0 = 0;

v_c = 97.1 km/h

x = 97.1t _____(1)

In case of gazelle;

x_0 = 52.2 m = 52.2 × 10^-3 km

v_c = 79.2 km/hr

x = 52.2 × 10^-3 + 79.2t ______(2)

equating 1 and 2

52.2 × 10^-3 + 79.2t = 97.1t

52.2 × 10^-3 = 97.1t - 79.2t

52.2 × 10^-3 = 17.9t

52.2 × 10^-3×3600/17.9 = t

t = 10498.3

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Answer:

157.9m

Explanation:

Vi = 20

t = 6

x = 28cos(20)

Find the distance by multiplying the horizontal velocity x time.

(28cos(20))(6)

= 157.9 m

Answer:

dr

Explanation:

Chromatography is a laboratory technique for separating a mixture into its components.

What is Chromatography?

This is a laboratory technique for separating mixture. The mixture is dissolved in a liquid solvent (gas or liquid) called the mobile phase, which passes it through a system (column, capillary tube, plate, or sheet) to which the material is attached, called the stationary phase. Because different constituents of a mixture have different affinities for the stationary phase and are retained for different periods of time depending on their interaction with its surface, the constituents move with different apparent velocities in the moving fluid, causing them to separate. The separation is based on the differential partitioning of the mobile and stationary phases. Subtle differences in the partition coefficient of the compound result in differential retention in the stationary phase and thus affect the separation.

Chromatography can be analytical or preparative . The reason of analytical chromatography is to separate the components of a mixture for later use and then form of purification.This process is associated with higher costs due to the manufacturing method. Analytical chromatography is usually performed on smaller amounts of material and aims to determine the presence of analytes or measure their relative proportion in a mixture. The two types are not mutually exclusive.

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Considering the definition of velocity, the total time elapsed is 1.2292 h.

Velocity ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

In other words, velocity can be defined as the amount of space traveled per unit of time with which a body moves.

The velocity can be calculated using the expression:

velocity= displacement÷ time

In this case, you know:

Then, the elapsed time to travel each of the distances is calculated by the definition of velocity:

65 mph= 50 miles÷ time to travel 50 miles

65 mph× time to travel 50 miles= 50 miles

time to travel 50 miles= 50 miles÷ 65 mph

time to travel 50 miles= 0.7692 h

75 mph= 40 miles÷ time to travel 40 miles

75 mph× time to travel 40 miles= 40 miles

time to travel 40 miles= 40 miles÷ 75 mph

time to travel 40 miles= 0.53 h

The elapsed time will be the sum of the time it takes to travel each distance:

elapsed time= time to travel 50 miles + time to travel 40 miles

elapsed time= 0.7692 h + 0.53 h

elapsed time= 1.2992 h

Finally, the total time elapsed is 1.2292 h.

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1. The final velocity (Vf) is 25.088 m/s

2. The initiial velocity (Vo) is 0 m/s

3. The time is 2.56 s

4. The acceleration is positive

The following data were obtained from the question:

We'll begin by obtaining the time take to reach the ground. this is illustrated below:

h = ½gt²

32 = ½ × 9.8 × t²

32 = 4.9 × t²

Divide both side by 4.9

t² = 32 / 4.9

Take the square root of both side

t = √(32 / 4.9)

t = 2.56 s

Finally, we can obtain the final velocity as follow:

vf = vo + gt

vf = 0 + (9.8 × 2.56)

vf = 0 + 25.088

vf = 25.088 m/s

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The final velocity of the ball that is dropped from a height of 200m is v = 44.73 m/s .

The rate at which an object is travelling in one direction is referred to as its velocity. an automobile traveling north on a highway, or a rocket taking off. Its velocity vector's absolute value always is equal to the motion's speed because it is a scalar.

Given the initial velocity of the ball (u) =  0

Distance travelled by the ball (s) = 200m

Acceleration (a) = 10 m/s²

As we know:

v² = u² + 2as

Putting values:

v² = 0+2 × (10 m/s²) × (200 m)

v = 44.73 m/s.

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Answer:

40.0

Explanation:

[tex]\int^{10}_{2} f(x) \text{ } dx \approx 2f(2)+3f(4)+2f(7)+f(9) \\ \\ =2(0)+3(3)+2(8)+15 \\ \\ =0+9+16+15 \\ \\ =40[/tex]

Answer: force

Explanation:

it is on the y axis

The breaking acceleration of the car must be - 44.5 m/s² so that the car stops in time and avoid hitting the Ilama.

Given in the question

The car is driving at the speed of 14 m/s and the reaction time is 0.05 seconds. So the distance traveled by car before hitting the break is,

Distance = Speed × time

Distance = 14 × 0.05

Distance = 0.7 meters

So, now the Ilama is 2.9 meters away and the distance traveled before hitting the break is 0.7 meters.

So the stopping distance = Distance of Ilama  - distance traveled before hitting the break

So stopping Distance = s = 2.9 - 0.7

stopping Distance = s = 2.2 m

Now we have

Initial Velocity = u = 14 m/s

Final Velocity = v = 0 m/s [ as after applying the break, the car comes to rest]

Stopping Distance = s = 2.2 m

Using the third equation of motion

v² - u² = 2as

Put in the value, we get

(0)² - (14)² = 2a(2.2)

4.4a =  - 196

a = -196/4.4

a = - 44.5 m/s²

Therefore, the breaking acceleration of the car must be - 44.5 m/s².

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Answer:

-5

Explanation:

the red line is showing that you are going down to -8 and the blue line is showing that you should go up, which means you are adding three to -8. When 3 is added to -8, you get -5.

Jamil cycles to the shop and back home in 360 seconds. Jamil takes 150 seconds to reach the shop and stays there for 90 seconds and come back to home.

Speed is the rate at which an object or a body moves.

Formula of Speed:

Speed = Distance/Time

In the given graph, Jamil cycles to the shop, time taken by Jamil to reach the shop can be calculated by the first part of the graph.

Time taken = (150-0)sec

Time = 150 sec

The distance travelled by Jamil is denoted on the Y-axis:

Distance travelled to get to the shop = 450m

Speed at which Jamil cycles to the shop can be calculated by:

Speed = Distance/Time

Speed = 450m/150sec

Speed = 3m/sec

The time period for which Jamil stays at the shop can be inferred from the graph as the distance travelled will be zero at that time.

Time for which distance is constant = Horizontal part of the graph

Time = 240sec-150sec

Time = 90sec

The speed at which Jamil cycles back to his home can be calculated by the last part of the graph when he goes back to his home from shop.

Time taken = (360-240)sec

Time taken = 120 sec

Distance Travelled = 450m

Speed = Distance travelled/ Time taken

Speed = 450m/120sec

Speed = 3.75m/sec

Therefore, the speed of Jamil while going to the shop is 3m/sec while the speed of Jamil returning back to home is 3.75m/sec.

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The acceleration of the car for it to stop within the given distances at the given speeds will be:

a. acceleration = -47520 mi/h²

b. acceleration = -132000 mi/h²

The acceleration of the car for it to travel a distance of 200 ft is calculated as follows:

initial velocity of the car = 60 mi/h

final velocity of the car = 0 mi/h

distance travelled = 200 ft

5280 ft = 1 mile =

200 ft = 200/5280 miles

acceleration, a = ?

Using the formula:

v² = u² + 2as

0 = 60² + 2 * 200/5280 * a

400a/5280 = -3600

a = -47520 mi/h²

Acceleration for it to stop in 200 ft will be:

v² = u² + 2as

0 = 100² + 2 * 200/5280 * a

400a/5280 = -10000

a = -132000 mi/h²

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Answer:h

Explanation:

The net force acting on the particle would be and the magnitude of the force would be -12.92i + 6.49j and the magnitude of the force would be 14.46 Newtons.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The net force on the particle = mass of the particle × acceleration

                                                =3.80*(−3.40i + 1.70j)

                                                = -12.92i + 6.49j

Thus, the magnitude of the net force on the particle would be 14.46 Newtons.

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The unconscious lingering effects of a bad athletic performance may be what is currently causing an athlete distress at the thought of performing. This situation correlates with the Psychodynamic theory.

Psychodynamic theory is first coined by Sigmund Freud. It explains the origins of human behavior. According to Psychodynamic theory:

In this situation, an athlete's distress at the thought of their performance is said to be a result of bad athletic performance in the past. This correlates with the second statement of Psychodynamic theory.

Therefore, Psychodynamic theory of personality explains this situation clearly.

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Frequency of the waves is 0.05 Hz

Number of complete wavelength, λ = 6

therefore distance covered = 6 Wavelength

Time taken to complete 6 wavelengths, t = 2 min

Since 1 min = 60 sec

2 min = 2 * 60 = 120 sec

Frequency can be defined as the number of wave cycles completed per second by a wave.

As we know, Velocity = [tex]\frac{Distance}{Time}[/tex] = [tex]\frac{6 Wavelength}{120}[/tex]

F = [tex]\frac{Velocity}{Wavelength}[/tex]

F = [tex]\frac{6 wavelength}{120 wavelength}[/tex]

F = [tex]\frac{6}{120}[/tex]

F = 0.05 Hz

Therefore frequency of the navigation buoy floating on the sea oscillates as a wave is 0.05 Hz.

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Walking, running, and breathing are examples of motion. For rolling of ball, the street is a frame of reference and an insect on the ball is an inappropriate frame of reference.

A frame of reference, also known as a reference frame, is a perspective used in physics to assess whether an object is moving.  A frame of reference is an environment or object that is thought to be stationary. The Earth itself, despite its motion, serves as the most frequently used frame of reference.

Some examples of motion are:

Motion is a part of many of our daily activities, including walking, running, closing doors, etc.

Another illustration of motion is the passage of air into and out of our lungs.

The vehicles that transport passengers between the point of pickup and the destination have motion.

A ball is rolling down the street that it is moving.

For a ball rolling down the street, the street is an appropriate frame of reference as it is rest as compared to the ball.

For the same example, the insect sitting on the rolling ball is a part of the rolling ball.

Therefore, the insect is an inappropriate frame of reference for the motion of the ball rolling down the street.

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No, it is fair to say that the car was moving at the calculated “average speed” at all points along the track and the floor

Average velocity is the average value of velocity of an object during its whole period of movement. Instantaneous velocity is the velocity of an object at any given instant in its movement.

Average velocity can be equal to the instantaneous velocity if the velocity is constant. The velocity of an object can be constant if there are no external forces acting on the object. But here in the given condition, the car moves on a track where there will be frictional force and air resistance.

Therefore, it is not fair to say that the car was moving at the calculated “average speed” at all points along the track and the floor.

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The SI units of-

Temperature--- kelvins

Mass--- kilogram

Length--- meter

Volume--- litre

CGS units  The centimeter-gram-second system of units is how this is expressed.

FPS units  The foot-pound-second system of units is what this is in its entire form.

MKS unit  This system's full name is meter, kilogram, and second.

SI unit. International System of Units is the longer abbreviation for the units.

The SI includes units for all common measurement types, but its core consists of seven units known as the "basic units." To maintain comparability and consistency across the globe in our everyday measurements, we need the International System of Units.

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Answer:

Length = meter

mass = kilogram

volume = cubic meter

temperature = kelvin

Explanation:

apexs

The voltage drop in the second resistor such that the drop in the first resistor is 7 volts using conservation of potential in a loop we get the value of potential drop to be equal to 8 volts .

Voltage is a physical quantity that is responsible for movement of charges in a wire the difference in potential between two points causes the flow of charges.

Its S.I unit is voltage (V)

Electric current is a physical quantity which refers to the flow of electric charge per unit area across a cross section of unit area.

Its S.I unit is ampere (A).

Given:

Total voltage across the circuit = 15 V

Voltage drop across first resistor = 7V

Resistance of first resistor = 10002 ohm

Resistance of second resistor= 22002 ohm

Now we know about conservation of charge and Kirchhoff's law.

Kirchhoff law states that the sum of potential in a loop is always conserved. In first resistor we noticed a drop of 7 volt it means that the remaining voltage must drop across the second resistor.

Therefore, the drop in the voltage using conservation of potential in a loop we get the value of potential drop to be equal to 8 Volt .

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Note: The question is incomplete in the portal. Here is the complete question.

Question: Two resistors with resistance R₁ equal to 10002 and R₂ equal to 22002 respectively are connected in series circuit, such that the potential drop through the first resistor of resistance 10002 is of 7V find the voltage drop in second resistor using divider rule.

The tractor is in linear motion but the wheels of the tractor are in rolling motion.

When the sudden turn comes then it wants to continue in rolling motion due to conservation of angular momentum.

But the angular momentum is applied and due to inertia, the weight and friction shifts on the bigger wheels causing difference in the angular speed.

Thus, the bigger rear wheels of the tractor rotate more slowly as compared to front small wheels because the bigger wheels have greater moment of inertia due to their mass as compared to front small wheels. That’s why the rear wheels are bigger than the front wheels.

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The acceleration of the fireman sliding down a pole who weighs 100 kg with a frictional force of 137 N is 8.44 m / s²

According to Newton's second law of motion

F = m a

Net downwards force = F - f

F = Applied force

f = Frictional force

m = Mass

a = Acceleration

m = 100 kg

f = 137 N

g = 9.81 m / s²

F = m g

F = 100 * 9.81

F = 981 N

Net downwards force = 981 - 137

Net downwards force = 844 N

F = m a

a = 844 / 100

a = 8.44 m / s²

Therefore, the acceleration of the fireman is 8.44 m / s²

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Answer:

v = 10t

Explanation:

The velocity of an object after time t is given by the equation
v(t) = u + at

Here u, the initial velocity is 0

a = acceleration = g = 10 m/s²

Therefore at any time,
v(t) =  0 + 10t

v = 10t

After 5 seconds, v = 10 m/s² x 5s  = 50 m/s

The graph of this equation is given

The Height of the rocket ship rises above the launch pad after 94 seconds of flight is 47m

Constant upward Acceleration(a) = 6.3m/sec²

Initial Upward Velocity [tex]V_{i}[/tex] = 0

Final Upward Velocity [tex]V_{f}[/tex] = a × t

= 6.3 × 94

= 592.2 m/sec

Let Height be h

Using relation:

[tex]V_{f2}[/tex]² + [tex]V_{i^{2} }[/tex]² = 2 × a × h

592.2 - 0 = 2 × a × h

h = 592.2 / (2× a)

= 592.2 / 2*6.3

= 47 m

So height above the ground is 47  m

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The time taken for the ball to travel the 6.5 m distance at a velocity of 2.2 m/s is 2.95 s

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

With the above formula, we can obtain the time. Details below

From the question given above, the following data were obtained:

The time taken to travel 6.5 m can be obtained as follow:

Velocity = displacement / time

2.2 = 6.5 / time

Cross multiply

2.2 × time = 6.5

Divide both sides by 2.2

Time = 6.5 / 2.2

Time = 2.95 s

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The delegates represented upper-class White men with political power.

Philadelphia, Pennsylvania offered to host the Constitutional Convention from May 14 to September 17, 1787. Choosing America's future government was the main goal of the event. Many of the delegates had much more ambitious plans than the official purpose of the Convention, which was to amend the current Articles of Confederation. It is with the purpose to create concepts for a new government and to revise the Articles of Confederation.

The federal government created by the United States Constitution, which resulted from the convention, was given more precise powers, including those pertaining to managing relations with other governments.

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Answer:

The delegates represented upper-class White men with political power.

What constituted the Constitutional Convention?

Philadelphia, Pennsylvania offered to host the Constitutional Convention from May 14 to September 17, 1787. Choosing America's future government was the main goal of the event. Many of the delegates had much more ambitious plans than the official purpose of the Convention, which was to amend the current Articles of Confederation. It is with the purpose to create concepts for a new government and to revise the Articles of Confederation.

How did the Constitutional Convention affect society?

The federal government created by the United States Constitution, which resulted from the convention, was given more precise powers, including those pertaining to managing relations with other governments.

Explanation:

The average for each checkpoint is:

point 1 t_{avg} = 2.07 sec

point 2 t_{avg} = 3.16 sec

point 3 t_{avg} = 4.11 sec

point 4 t_{avg} = 4.92 sec

We have the graph for each interval.

The magnitude of the average is:

t_{avg} = Σ ( t_(i) / n)

where t_{avg} is the average time, t_(i) each time the magnitude is measured and n is the number of times the measurement is repeated for the same point.

The table for the times measured for each interval is:

Measurement        times for each interval

                           1          2             3            4

1                         2.02    3.17       4.12        4.93

2                         2.05    3.07       3.98        4.81

3                         2.15    3.25       4.23         5.01

Now, the average time to reach the get married checkpoint is:

For point 1:

t_{avg} = (2.02 + 2.05 + 2.15) / 3

t_{avg} = 2.07 s

For point 2:

t_{avg} = (3.17 +3.07 + 3.25) / 3

t_{avg} = 3.16 s

For point 3:

t_{avg} = (4.12 + 3.98 + 4.23) / 3

t_{avg} = 4.11 s

For checkpoint 4:

t_{avg} = (4.93 + 4.81 + 5.01) / 3

t_{avg} = 4.917 s

We employ the significant figures criterion for the sum, which is steady in that the result must be provided with the least amount of decimal places.

t_{avg} = 4.92 s

Therefore, the average times for each checkpoint are:

point 1: t_{avg} = 2.07 s

point 2: t_{avg} = 3.16 s

point 3: t_{avg} = 4.11 s

point 4: t_{avg} = 4.92 s

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