According to Hebrews 11, what did Abraham believe God would do if Isaac was slain as a sacrifice?

Answers

Answer 1

Answer:

That he would be happy,for he had ordered him to be sacrificed


Related Questions

Forces in action worksheet. Need help with this, it's due tomorrow by 8:30am, please help! If you do the bottom 2 for me as well, I will mark brainliest :)

Forces in action worksheet. Need help with this, it's due tomorrow by 8:30am, please help! If you do

Answers

For the bottom you can put a kid being in a swing putting the arrows up and down. For the other one you can put someone jumping that goes up and down too. Hope this helps

Using the right-hand rule, in which direction will the single wire move, and in which direction will the loop rotate?

Answers

Single Wire moves down, loop rotates left.

About single wire

A single-wire system is a method of transmitting power or signals using only a single conductor. This is in contrast to the usual use of a pair of wires to provide a complete circuit, or an electrical cable containing (at least) two conductors for this purpose.

A single-wire transmission line is not the same as a single-wire earth return system. This is beyond the scope of this article. The latter system relies on reverse current flow through earth, using earth as a second conductor between earth terminal electrodes. A single-wire transmission line does not have a second conductor of any kind. 

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It takes a force of 150 newtons to move a 300 newton object up a ramp to a height of 3 meters. How could you reduce the amount of force needed to move an object?Select one:a. Make the ramp higher.b. Make the ramp longer.c. Make the ramp shorter.d. Lift the object without the ramp.

Answers

Explanation

Step 1

Diagram:

Step 2

the work done by an object is defined as:

the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement:

\(Work=force*distance*cos(angle)\)

so,let

\(\begin{gathered} displacement\text{ =}3m \\ force=\text{ 150 N} \end{gathered}\)

therefore,l to reduce the amount of force needed , we need to affect the distnace or the angle

Step 3

let's check every option

A)Make the ramp higher.

as the distnace becomes greater the force must increase too, so this is not the rigth option,in other words , a higher distnace will neeed a stronger force

B)making the ramp longer will make the angle becomes smaller, and this makes the distance becomes greater,

C) when yuo make the ramp shorter ,you will need the same force because the displacementis vertical

when the angle becomes smaller, the work will be the same, but the distnace and force, change, cos

\(\begin{gathered} Work=force*distance*cos(angle) \\ cos\text{ \lparen angle}\Rightarrow0)=1 \\ so,\text{ } \end{gathered}\)

when the angle goes to 0° degrees the required force becomes smaller, so

the answer is

b. Make the ramp longer.

D)finally, if yuo lift the object witouth the ramp ( vertically) , the distnace becomes smaller, ( only 3 m),but the force is the total weigth of the object ( 300 N)

I hope this helps you

It takes a force of 150 newtons to move a 300 newton object up a ramp to a height of 3 meters. How could
It takes a force of 150 newtons to move a 300 newton object up a ramp to a height of 3 meters. How could

El tubo de entrada que suministra presión de aire para operar un gato hidráulico tiene 2 cm de diámetro. El pistón de salida es de 32 cm de diámetro. ¿Qué presión de aire se tendrá de aire se tendrá que usar para levantar un automóvil de 17,640 N?`

Answers

Answer:

P₁ = 219.3 Pa

Explanation:

This fluid mechanics problem, we can use that the pressure is distributed with the same value throughout the system, which is Pascal's principle.

Let's use the subinidce1 for the small diameter and the subscript 2 for the larger diameter.

              P₁ = P₂

pressure is defined by

             P = F / A

we subtitute

             F₁ / A₁ = F₂ / A₂

             F₁ = F₂ A₁ / A₂

the area in a circle is

             A = π r² = π d² / 4

we substitute

            F₁ = F₂ (d₁ / d₂)²

we calculate

           F₁ = 17640 (2/32)²

           F₁ = 68.9 N

Having the force to be applied we can find the air pressure on the small plunger

          P₁ = F₁ / A₁

          P₁ = F₁ 4 / π d₁²

let's calculate

          P₁ = 68.9 4 / (π 0.02²)

          P₁ = 219.3 Pa

A 500 kg rocket sled is coasting in reverse at 10 m/s (to the left). It then turns on its rocket engines for 10.0 s, with a thrust of 1500 N (to the right). What is its final velocity? (Remember velocity has magnitude and direction)

Answers

Explanation:

F = ma

\(a = \frac{f}{m} \)

\(a = \frac{1500}{500} = 3\)

\(a = \frac{v2 - v1}{t} \)

\(3 = \frac{v2 - 10}{10} \)

v2 (final) = 40 m/s to the right direction

the very act of observing a particle has a dramatic effect on its behaviour why do you think this is the case​

Answers

Answer:

Explanation:

In the microscopic world of quantum mechanics, particles don't behave like familiar everyday objects. They can exist in multiple states simultaneously and behave as both particles and waves. When we try to measure or observe a particle, we typically use light or other particles to interact with it. However, this interaction can disturb the particle's state. Imagine trying to measure the position of an electron using light. Light consists of photons, and when photons interact with the electron, they transfer energy to it. This energy exchange causes the electron's position and momentum to become uncertain. The more precisely we try to measure its position, the more uncertain its momentum becomes, and vice versa. This is known as the Heisenberg uncertainty principle.

So, the act of observing a particle disturbs its state because the interaction between the observer and the particle affects its properties. The very act of measurement or observation introduces a level of uncertainty and alters the particle's behavior. It's important to note that this behavior is specific to the quantum world and doesn't directly translate to the macroscopic world we experience in our daily lives. Quantum mechanics operates at extremely small scales and involves probabilities and uncertainties that are not typically noticeable in our macroscopic observations.

How do we investigate the transformation of potential and kinetic energy?

Answers

Answer:

Well potential energy is when an object is not moving, kinetic energy is when energy is made when an object is moving. So basically the way you can investigate the transformation of the energy of potential and kinetic is that, for example, a ball is being pushed down a hill. Ar first there is potential energy because the ball is not moving. Then there is kinetic energy because the ball is being pushed.

Explanation:

so basically what i'm saying as that as the energy of a ball moving than that's kinetic energy, Something that doesn't move always has potential energy.

A gas expands from I to F in the figure. The energy added to the gas by heat is 465 J when the gas goes from I to F along the diagonal path. What is the change in internal energy of the gas?

Answers

The gas's internal energy that expands from I to F changes by 1015 J.

How to determine internal energy?

Since the gas is expanding and energy is added to it by heat, the change in internal energy of the gas can be calculated using the first law of thermodynamics, which states that:

ΔU = Q - W

where ΔU = change in internal energy,

Q = heat added to the system, 465 J and

W = work done by the system.

Assuming that the process is quasi-static use approximation known as the "staircase approximation."

By adding up the work done in each step, find that the total work done by the gas is approximately -550 J. The negative sign indicates that work is done on the gas.

Therefore, using the first law of thermodynamics, we can calculate the change in internal energy of the gas as:

ΔU = Q - W

ΔU = 465 J - (-550 J)

ΔU = 1015 J

Therefore, the change in internal energy of the gas is 1015 J.

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You are pushing your old dishwasher of mass 35.0 kg up the ramp into the truck bed. You are applying a force of 225 N along the ramp which is inclined at 22.0 degrees. There is a frictional force of 45.0 N between the ramp and the dishwasher. can you please help with b?​

You are pushing your old dishwasher of mass 35.0 kg up the ramp into the truck bed. You are applying

Answers

The acceleration of the dish washer is obtained as 5.1 m/s^2.

What is a free body diagram?

A free body diagram is a type of image that physicists use to illustrate the forces operating on an item in a certain circumstance.

By dissecting the motion of the object into its component forces and displaying the direction and amount of each force acting on the object, the diagram may be used to study the motion of the object.

We know that;

Net force =Applied force - Frictional force

35a = 225 - 45

a = 225 - 45/35

a = 5.1 m/s^2

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Kelli felt obligated to answer the phone when her mom called. She really was not paying attention to the conversation, but every once in awhile would say, "Yes" or "Okay" just to keep her mom satisfied.

This hurtful listening habit is called:

A. Defensive Listening
B. Selective Listening
C. Bad Listening
D. Pseudolistening

Answers

Although she wasn't truly listening to what was being said, she would occasionally say "Yeah" or "Okay" to appease her mother. This destructive listening behaviour is known as: Defensive listening, first

What constitutes a poor listening habit?

Interrupting, eavesdropping, being confrontational, egotistical, defensive, selective, insensitive, and pseudo-listening are some examples of these poor listening techniques.

A faux listener is what?

Pseudolistening– having to pretend to pay any attention and did appear considerate but is not trying to listen to realise or translate the data (audience members may answer back with a smile, mouth, or even a verbal cues appreciation but are dismissing or not planning to attend).

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A truck of mass 1600 kg is traveling at 15 m/s. In order to avoid running over a squirrel in the middle of the road, the truck driver begins to brake. What must the braking force on the truck be if the truck comes to stop in 2 s? *


a)12000n
b) 8000n
c)7000n
d)6000n

Answers

I think A is correct

two particles with equal charge experiences a force of 12 nN where they are 30 cm apart. what is the magnitude of the charge on each particle

Answers

Considering the Coulomb's Law, the magnitude of the charge on each particle is 4.2426 C.

Definition of Coulomb's Law

Coulomb's law or law of electrostatics is the relationship between the interactions of electric charges, that is, it explains the force experienced by two electric charges at rest.

This law says that the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them, expressed mathematically as:

\(F=k\frac{Qq}{d^{2} }\)

where:

F is the electrical force of attraction or repulsion. It is measured in Newtons (N).Q and q are the values ​​of the two point charges. They are measured in Coulombs (C).d is the value of the distance that separates them. It is measured in meters (m).k is a constant of proportionality called the Coulomb's law constant. It depends on the medium in which the charges are located. Specifically for vacuum k is approximately 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\).

The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.

Magnitude of the charge on each particle

In this case, you know that:

F= 12 nN= 1.8×10⁻⁸ N (being 1 nN= 1×10⁻⁹ N)k= 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)Q= qd= 30 cm= 0.3 m (being 100 cm= 1 m)

Replacing in the Coulomb's Law:

\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{Qq}{(0.3 m)^{2} }\)

Being Q=q:

\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{q^{2} }{(0.3 m)^{2} }\)

Solving:

1.8×10⁻⁸ N÷ 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)= q²÷ (0.3 m)²

2×10⁻¹⁸ C²/m²= q²÷ (0.3 m)²

2×10⁻¹⁸ C²/m²= q²÷ 0.09 m²

2×10⁻¹⁸ C²/m² ×0.09 m²= q²

1.8×10⁻¹⁹ C²= q²

√1.8×10⁻¹⁹ C²= q

4.2426 C= q= Q

Finally, each charge has a value of 4.2426 C.

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Answer this and you get 100 points
You better answer it quick though

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Answer what? Apologies, but I don't see anything. (。>︿<)

Answer this and you get 100 pointsYou better answer it quick though

How does paragraph 3 help develop the ideas in this passage

Answers

Answer:

celebrating different points.

Explanation:

adds more information to what your talking about

It helps add more information to what you are talking about

How many kilocalories of heat would be needed to melt 0.32 kg of ice at 0°C and increase the temperature to 25°C? The specific heat of water is 1 cal/g.°C, specific heat of ice is 0.5 cal/g.°C, the latent heat of ice to water is 80 cal/g. Keep one digit after the decimal.

Answers

To calculate the heat needed to melt the ice and raise the temperature, we need to break it down into two steps:

Step 1: Heat needed to melt the ice
The mass of ice is 0.32 kg, and the latent heat of ice to water is 80 cal/g. Therefore, the heat needed to melt the ice is:

0.32 kg x 80 cal/g = 25.6 kcal

Step 2: Heat needed to raise the temperature from 0°C to 25°C
The specific heat of water is 1 cal/g.°C, and the mass of water produced by melting the ice is also 0.32 kg. Therefore, the heat needed to raise the temperature from 0°C to 25°C is:

0.32 kg x 25°C x 1 cal/g.°C = 8 kcal

Total heat needed = Heat needed to melt the ice + Heat needed to raise the temperature
Total heat needed = 25.6 kcal + 8 kcal = 33.6 kcal

Therefore, 33.6 kilocalories of heat would be needed to melt 0.32 kg of ice at 0°C and increase the temperature to 25°C.

Which of the following is a function of the cardiovascular system?
A. transportation of oxygen
B. removal of carbon dioxide
C. assistance with immune function
D. All of the above

Answers

Answer:

D

Explanation:

The CV system does all of the above

The electrical power of a circuit can be calculated by the equation P = V × I. The table below shows the different voltages that can be supplied to the circuit. If current stays the same, which voltage will most likely result in the smallest electrical power?


A B C D
100V 25V 5V 30V

A
B
C
D

Answers

Answer:  C.  5V

Explanation:

Since P = VI, power is directly proportional to voltage

If current is constant, then the lower the voltage, the lower the power. The lowest voltage shown is 5 Volts.

Interpreting Graphics The velocity-versus-time graph for a shut-
tle bus moving along a straight path is shown in Figure 13.

a. Identify the time intervals during
which the velocity of the shuttle bus
is constant.
b. Identify the time intervals during
which the acceleration of the shuttle
bus is constant.
c. Find the value for the average veloc-
ity of the shuttle bus during each
time interval identified in b.
d. Find the acceleration of the shuttle
bus during each time interval identi-
fied in b.
e. Identify the times at which the
velocity of the shuttle bus is zero.
f. Identify the times at which the acceleration of the shuttle bus is zero.
g. Explain what the slope of the graph reveals about the acceleration in
each time interval.

Interpreting Graphics The velocity-versus-time graph for a shut-tle bus moving along a straight path

Answers

Interpreting Graphics The velocity-versus-time graph for a shuttle bus moving along a straight path is shown in Figure 13., all the answer is attached.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

a) The time intervals during which the velocity of the shuttle bus is constant: 50 s to 150 s.

b) The time intervals during which the acceleration of the shuttlebus is constant: 500 s to 600s.

c) The value for the average velocity of the shuttle bus during time interval identified in b is: ( -3 +(-5))/2 =m/s = - 4 m/s.

d) The acceleration of the shuttle bus during time interval identified in b = ( -3 +(-5))/(600 - 500) m/s² = 0.02 m/s²

.e) The times at which the velocity of the shuttle bus is zero is : 200s to 300s.

f) The times at which the acceleration of the shuttle bus is zero is : 50s to 150s.

g) The slope of the graph reveals about the acceleration in each time interval that when it is positive the car is accelerated, when it is negative, the car is decelerated.

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A football blocking sled has a mass of roughly 100 kg. If a football player applies a force of 500 N to the sled, and there is a 350 N frictional force acting on the sled, what is the acceleration of the sled?

Answers

The the acceleration of the sled of mass 100 Kg will be 1.5 m/s².

What is Friction?

A drag is force that opposes the motion of an object by acting in the direction opposite to its motion. It is of two types namely - Static friction and kinetic friction. The static friction is given by - F[S] = μ[s]​ x η and the  kinetic friction is given by F[K] = μ[k] x η.

Given is a football blocking sled which has a mass of roughly 100 kg. A football player applies a force of 500 N to the sled, and there is a 350 N frictional force acting on the sled.

Assume that the force applied by the player is - F[P] = 500 N and the force of friction is - F = 350 N.

Now, for the motion of the sled with acceleration [a], we can write -

F[P] - F = ma

a = {F[P] - F}/m

Substituting the values, we get -

a = (500 - 350)/100

a = 150/100

a = 15/10

a = 1.5 m/s²

Therefore, the the acceleration of the sled of mass 100 Kg will be

1.5 m/s².

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Please Help:)
How to draw two vectors being added:

Answers

Explanation:

you add the from head to tail. Head is the triangle and tail is the final point of the vector

what are the occupational respiratory disorders?​

Answers

Answer:

the occupational respiratory disorders are the one that occur

due to long term inhalation of chemical proteins and dust and it affects respiration badly.

Explanation:

Occupational respiratory disease is any lung condition you get at work. It occues because of repeated exposure to certain toxins. You can even get a disease long after being exposed to those toxins. Certain workplaces lend themselves to disease.

Highway safety engineers want to design roadside barriers that will crumple
in the event that a car drives off the road and collides with them, slowing
down the car more gradually. The average person has a mass of 68 kg and
travels on a highway at a velocity of 27 m/s. If the engineers know that the
maximum force that a person can safely withstand is 1650 N, approximately
how much time is required to crumple the barrier to safely slow the person
with this force?
A 1.5s
B. 0.7 s
C. 1.1 s
D. 2.1 s

Answers

The time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately C, 1.1 seconds.

How to find time?

To determine the time required to crumple the barrier and safely slow down the person with a maximum force of 1650 N, use the equation of motion:

F = m × a

where:

F = force

m = mass

a = acceleration

Given:

m = 68 kg

F = 1650 N

Find the acceleration (a) first. Rearranging the equation:

a = F / m

Substituting the values:

a = 1650 N / 68 kg

a ≈ 24.26 m/s²

Now, use the equation of motion to find the time (t):

v = u + at

where:

v = final velocity (0 m/s as the person comes to a stop)

u = initial velocity (27 m/s)

a = acceleration (24.26 m/s²)

t = time

Rearranging the equation:

t = (v - u) / a

Substituting the values:

t = (0 m/s - 27 m/s) / 24.26 m/s²

t ≈ -27 m/s / 24.26 m/s²

t ≈ -1.11 s

The negative sign indicates that the time is in the opposite direction to the initial velocity. Taking the absolute value, the time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately 1.11 seconds.

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Why are rocks important to geologists? Check all that apply.
They give clues about Earth's past environments.
They present opportunities for future use in technology.
They contain valuable resources used for building.
Many people like to collect different types of rocks.
Rocks are important to modern transportation.

Answers

Answer:

a, b and c or They give clues about Earth's past environments.

They contain valuable resources used for building.

They present opportunities for future use in technology.

Explanation:

The Reasons why Rocks are important to geologists are ; ( A, B, C )

They give clues about Earth's past environments ( A ) They present opportunities for future use in technology ( B ) They contain valuable resources used for building ( C )

Rocks are the basic elements for the formation of the earth crust, they contain important geological materials like  mineral crystals such as  limestone,  non-mineral like glass,  pieces from other rocks, and fossils.

The study of rocks by geologists provide geologists with important information regarding the presence of mineral resources and the soil composition of the past and present environments.  

Rocks contains important resources such as quartz , glass and limestone which are used as Raw materials for the production of building materials.

Hence we can conclude that The Reasons why Rocks are important to geologists are ; ( A, B, C ).

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Why are rocks important to geologists? Check all that apply.They give clues about Earth's past environments.They

A flat screen tv uses 120 watts. How much energy is used up if it is left on for 15 min?
A.) 4j
B.) 15j
C.) 0.67j
D.) 108,000j

Answers

Answer:

d

Explanation:

2 A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a the volume of paraffin
c the weight of paraffin
b the mass of paraffin
d the pressure at the bottom of the tank due
to the paraffin
1m

Answers

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

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two small identical conducting spheres have charges of 2.0x10-9C and - 0.5x109 C respectively when they are placed 4cm apart, what is the force between them? If they are brought into contact and then separated by 4cm, what is the force between them? ​

Answers

Answer:

6

Explanation:

nothingnsbejejjdbsbzbawkje

Which two of the following statements about inertia are true?
1. Inertia is the force that keeps a moving object in motion.
2. Inertia is the force that keeps a stationary object at rest.
3. Inertia is the natural tendency of a stationary object to resist motion.
4. Inertia is the natural tendency of a moving object to resist a change in its velocity.

Answers

1 and 4

Hope I am right!!

The statements that apply to inertia are that it is a force that maintains moving objects in motion, a force that keeps stationary objects at rest, a force that causes stationary objects to naturally resist motion, and a force that causes moving objects to naturally resist changes in velocity.

What is Newton's first law?

According to Newton's first law, until pushed to alter its condition by the intervention of an external force, every object will continue to be at rest or in uniform motion along a single direction.

As given all the following the statements that are true about inertia are,

1. Inertia is the force that keeps a moving object in motion.

2. Inertia is the force that keeps a stationary object at rest.

3. Inertia is the natural tendency of a stationary object to resist motion.

4. Inertia is the natural tendency of a moving object to resist a change in its velocity.

Thus, all the given options are correct about inertia.

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A hummingbird flies forward and backward. Its motion is shown on the above graph of horizontal Position and
Time.
What is the total distance the hummingbird travels from t=0 sec to t=12 sec?

Answers

Answer:

The hummingbird travels the total distance is 10 m

Explanation:

Given that,

A hummingbird flies forward and backward.

According to figure,

We know that,

The total distance is equal to the sum of all distance.

Forward direction is positive and backward direction is negative.

We need to calculate  the hummingbird travels the total distance

Using figure,

\(D=d_{1}+d_{2}+d_{3}+d_{4}\)

Put the value into the formula

\(D=6+(-4)+2+6\)

\(D=10\ m\)

Hence, The hummingbird travels the total distance is 10 m.

A hummingbird flies forward and backward. Its motion is shown on the above graph of horizontal Position

what is renewable and non-renewable energy?​

Answers

Renewable resources:

A renewable resource is one that can be used repeatedly and does not run out because it is naturally replaced.

Nonrenewable resource:

A nonrenewable resource is a natural substance that is not replenished with the speed at which it is consumed. It is a finite resource.

Thenks and pls mark me brainliestt :))

Answer:

Renewable energy includes solar, hydro, and wind energy. Non-renewable energy includes coal, gas, and oil.

Explanation:

Renewable energy is useful energy that is collected from renewable resources, which are naturally replenished on a human timescale. A non-renewable resource is a natural resource that cannot be readily replaced by natural means at a pace quick enough to keep up with consumption.


A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.

Answers

If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.

To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.

Given:

Mass of the box, m = 210 kg

Tension in the string, T = 1300 N

The angle of inclination, θ = 35°

Frictional force, f = 100 N

Initial speed, u = 0 m/s

Final speed, v = 10 m/s

First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:

T_parallel = T * cos(θ)

Next, let's calculate the net force acting on the box along the incline. The net force is given by:

Net force = T_parallel - f

Now, using Newton's second law, we can calculate the acceleration (a) of the box:

Net force = m * a

From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):

v^2 = u^2 + 2as

Rearranging the equation, we get:

s = (v^2 - u^2) / (2a)

Now, let's plug in the given values and calculate the distance covered:

T_parallel = 1300 N * cos(35°) ≈ 1067.35 N

Net force = 1067.35 N - 100 N = 967.35 N

a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2

s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m

Therefore, the distance covered by the box is approximately 10.89 meters.

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