The superhero Green Lantern steps from the top of a tall building. He falls freely from rest to the ground, falling half the total distance to the ground during the last 1.00 s of his fall (Fig. 2.30). What is the height h of the building?

SOLUTION GUIDE

IDENTIFY and SET UP

1. You’re told that Green Lantern falls freely from rest. What does this imply about his acceleration? About his initial velocity?

2. Choose the direction of the positive y -axis. It’s easiest to make the same choice we used for freely falling objects in Section 2.5.

3. You can divide Green Lantern’s fall into two parts: from the top of the building to the halfway point and from the halfway point to the ground. You know that the second part of the fall lasts 1.00 s. Decide what you would need to know about Green Lantern’s motion at the halfway point in order to solve for the target variable h. Then choose two equations, one for the first part of the fall and one for the second part, that you’ll use together to find an expression for h. (There are several pairs of equations that you could choose.)

EXECUTE

4. Use your two equations to solve for the height h. Heights are always positive numbers, so your answer should be positive.

Answers

Answer 1

Answer:

1) its initial velocity is zero, 2) the downward direction as positive

3) h = 25.66 m

Explanation:

This is a free fall exercise.

1) with falls, its initial velocity is zero and the acceleration is constant throughout the path and is equal to the acceleration due to gravity.

2) a widely used selection to estimate the downward direction as positive

3) We know that for the second part of the fall

         y₀ -y = h/2   at  t = 1 s

        y = y₀ + v₁ t + ½ g t²

where v₁ is the initial velocity of this interval at the point y = h / 2

        v₁ t = (y -y₀) - ½ g t²

        v₁ = h / 2 - ½ g t²

        v₁ = h/2 - g/2

now let's write the equation for the first interval

         v₁² = v₀² + 2 g (y₁ - y₀)

       in this interval v₀ = 0

         v₁² = 2 g (y₁ -y₀)

         v₁² = 2g h/2

we write our system of equations

           v₁² = (h/2 - g/2)²

           v₁² = (2g h / 2)

       

           (h /2 - g/2)² = (2g h / 2)

            h² / 4 - 2  g/2  h/2 + (g/2)² = g h

            h² / 4 - g h/2 - g h + g²/4 = 0

            h² - 3 g h + g² =0              

            h² - 29.4 h +96.04 = 0

we solve the quadratic equation

            h = [29.4 ±√ (29.4² - 4 96.04)] / 2

            h = [29.4 ± 21.91] / 2

            h₁ = 25.66 m

            h₂ = 3.75 m

As the system takes more than 1 S to fall, the correct answer for the height is h = 25.66 m

Answer 2

Answer 1)

This is a free fall exercise with falls, its initial velocity is zero and the acceleration is constant throughout the path and is equal to the acceleration due to gravity.

Answer B :

A widely used selection to estimate the downward direction as positive.

Answer 3:

We know that for the second part of the fall:

        y₀ -y = h/2   at  t = 1 s

       y = y₀ + v₁ t + ½ g t²

where v₁ is the initial velocity of this interval at the point

       y = h / 2

       v₁ t = (y -y₀) - ½ g t²

       v₁ = h / 2 - ½ g t²

       v₁ = h/2 - g/2

Answer 4:

Now let's write the equation for the first interval

        v₁² = v₀² + 2 g (y₁ - y₀)

      in this interval v₀ = 0

        v₁² = 2 g (y₁ -y₀)

        v₁² = 2g h/2

we write our system of equations

          v₁² = (h/2 - g/2)²

          v₁² = (2g h / 2)

          (h /2 - g/2)² = (2g h / 2)

           h² / 4 - 2  g/2  h/2 + (g/2)² = g h

           h² / 4 - g h/2 - g h + g²/4 = 0

           h² - 3 g h + g² =0              

           h² - 29.4 h +96.04 = 0

we solve the quadratic equation

           h = [29.4 ±√ (29.4² - 4 96.04)] / 2

           h = [29.4 ± 21.91] / 2

           h₁ = 25.66 m

           h₂ = 3.75 m

As the height is h = 25.66 m.

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Doctors were furious. Their patients didn't care about regular medicine anymore. All they wanted was a wave of Dr. Mesmer's wand. The doctors griped — and groused — and fussed — and fumed. What is most likely the meaning of the word furious?
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Use the drop-down menus to order the steps for writing chemical formulas.

- Identify the elements in the compound.
- Write the chemical symbols in the order shown in the name.
- Use the periodic table to find the symbols of elements in the compound.
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Answer:

1,3,2,4,5

Explanation:

Because I had right

Following these steps will help write chemical formulas by identifying the elements, finding their symbols, arranging them in order, and determining the appropriate prefixes representing them with subscripts.

Here is the correct order for writing chemical formulas :

1) Identify the elements in the compound.

2) Use the periodic table to find the symbols of elements in the compound.

3) Write the chemical symbols in the order shown in the name.

4) Use prefixes to determine the number of each type of atom in the compound.

5) Use subscripts to show the number of each type of atom in the compound.

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If the length of an ax is 20 cm and the width is 5 cm what is the MA of a knife?
O 2
0 4
O 10
O6

Answers

Answer:

4

Explanation:

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

Length of an axe = 20 cm

Width = 5 cm

Mechanical advantage (MA) =.?

The mechanica advantage is simply defined as the ratio of the length to the width of the axe. Mathematically, it is expressed as:

Mechanical advantage = length /width

With the above formula, we can obtain the mechanical advantage of the axe as follow:

Length of an axe = 20 cm

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Mechanical advantage (MA) =.?

MA = 20/5

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Therefore, the mechanical advantage (MA) of the axe is 4

Explain why a golf ball that is hit on the moon travels much farther than a golf ball that is hit with the same force on Earth.

Answers

Answer:

the reason why is that if it is hit with the same force the moon has a lot less gravity than the earth dose so the golf ball will hit the ground on earth first before the golf ball on moon dose

Please help I don’t know how to do this

Answers

the answer is 3.17647059 hours

Answer:

3.176 hours

Explanation:

given:

distance = 270 km

speed = 85 km/h

find:

how long does it take to get into his audition in hours?

solution:

velocity = distance / time

85 km/h =  270 km  

                      t

85 (t) = 270

t = 270 / 85

t = 3.176 hours

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Answers

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Answer:

Red giant star

Explanation:

A graph of kinetic energy vs the mass of an object is ______________?

Answers

Answer:

The shape of the MASS vs ENERGY graph has a NON-LINEAR RELATIONSHIP.

Explanation:

Your Welcome Friend!   :)

A graph of kinetic energy vs the mass of an object is non-linear.

What is the nonlinear relationship?

Changes in the output are not proportional to changes in any of the inputs in a nonlinear connection.

When a linear connection is plotted on a graph, it produces a straight line; however, when a nonlinear relationship is plotted on a graph, it produces a curve.

When graphed, motion energy is proportional to the mass of the moving item, resulting in a linear connection, and it expands with the square of its speed, resulting in a non-linear relationship.

Hence a graph of kinetic energy vs the mass of an object is non-linear.

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When two objects collide and stick together, what will happen to their speed, assuming momentum is conserved?

Answers

The correct answer is that when two objects collide and stick together, BOTH objects will change speed.
If they are moving in the same direction, the faster moving object will slow down and the slower moving object will speed up.
If they are moving in opposite directions the faster will slow down and the slower one will change direction.

Answer:

They will move more slowly.

Explanation:

When the two objects stick together, they can be treated like one larger mass. By increasing mass, and keeping momentum the same, velocity must decrease (a larger object moves slower if all other variables stay the same) by p = mv.

If you hold a piece of copper wire in an open flame, which of the following will most likely happen?
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The ſame will get brighter.

Answers

Answer:

The heat will travel through the wire to your hand.

Explanation:

Thats the one that makes the most sense.

Question 11(Multiple Choice Worth 3 points)
(01.01 LC)
Which of the following actions will decrease the gravitational force between two objects?
o
Increasing the mass of the objects
d
Increasing the density of the objects
O
Increasing the distiyance between the objects
Increasing the temperature of the objects

Answers

Answer:

Explanation:

The only thing that decreases the gravitational pull between 2 objects is if you increase the distance.

The formula is F = G*m*m/r^2

As r^2 gets larger and G and m1 and m2 remain the same, F has to get smaller because r^2 divides into G*m1*m2

is it better to walk or run in the rain?

Answers

Answer:

Not gonna lie. I actually had to think about this a lot XD

Running in the rain can cause you to slip and get hurt. Which I think isn't what you would want.

Walking in the rain (although it is sad), is actually a better idea than running.

Hope this helps!

Answer:

Walk

Explanation:

Running might stop you from being outside for as long, but running on wet ground will most likely result in a not-so-graceful faceplant.

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Answers

Answer:

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Answers

Solution:
Mass(m)=20kg
Displacement (s)=1.5m
For 1 kg force of gravity=10N
We have,
F=mg
or,10=1xg
or g=10m/s^2
Then,
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or,W=mxgxs
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Answers

Explanation:

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The answer pleaseeeeeee

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I’d love to help, but I can barely understand what you put

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Answers

In a magnetic field, it would require the thing that passes through it to have all their electrons paired up for it to be unaffected or repulsed. And if there is an empty orbital or an unpaired electron, it’ll be attracted. Sunlight can’t have these properties, it has no charge or mass


Give reasons.
A stone thrown upward returns back to the earth surface.​

Answers

Answer:

Gravity

Explanation:

Due to earths gravity, anything that goes into the air returns back to the surface unless it is given the ability to fly.

Hope this helps!

3. A substance has a density of 19.3 g/ml. What is the volume of 20.2 g of the
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Answers

Answer:

The answer is 1.05 mL

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

[tex]volume = \frac{mass}{density} \\ [/tex]

From the question we have

[tex]volume = \frac{20.2}{19.3} \\ = 1.04663212...[/tex]

We have the final answer as

1.05 mL

Hope this helps you

If you walk North for 40 feet and then walk East for 30 feet, what is your total distance
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Answers

Answer:

The person travelled a total distance of (40+30) feet = 70 feet

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Explanation:

A 57 kg paratrooper falls through the air. How much force is pulling him down?

Answers

Answer:

Explanation:

Force = Mass * acceleration due to gravity.

Given

Mass of the paratrooper = 57kg

Acceleration due to gravity = 9.81m/s²

Required

Force pulling him down

Substitute unto formula;

F = 57 * 9.81

Force = 559.17 N

Hence the force pulling him down is 559.17N

The force pulling the paratrooper as he falls down is 558.6 N.

The given parameters;

mass of the paratrooper, m = 57 kgacceleration due to gravity, g = 9.8 m/s²

The force pulling the paratrooper is force of gravity and the magnitude can be determined by applying Newton's second law of motion as shown below;

F = mg

F = 57 x 9.8

F = 558.6 N

Thus, the force pulling the paratrooper as he falls down is 558.6 N.

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yes simpsimpsimpsimpsimpsimpsimp simpsimpsimpsimpsimpsimpsimp

A child (mass Me) pulls a sled (mass Ms) holding a baby (mass m) across the snow (assume the snow is frictionless). When the child starts the sled moving the baby brother slips off the sled instead of moving with the sled. The child tries again with a slightly smaller force and the baby stays on the sled due to the friction between the baby and the sled. Write a symbolic solution for the coefficient offriction between the baby and the sled if the maximum acceleration ofthe sled for the baby to stay on the sled is a. The solution may include the variables MC: Ms, m: a and g but does not need to have all ofthem_ The computer Ivill not recognize any other variables. Do not include any numbers (or the in your answer). Fill in the blank

Answers

Answer:

symbolic solution for the coefficient of friction between the baby and the sled is  

   [tex] \mu  =  \frac{m + M_s}{m}  *  \frac{a}{g}[/tex]

Explanation:

From the question we are told that

   The  mass of the boy is  [tex]M_e  =[/tex]

   The  mass of the shed is  [tex]M_s[/tex]

    The mass of the baby is  [tex]m[/tex]

    The  maximum acceleration for the baby to stay is  a

     

Generally the frictional  force between the baby and the shed is mathematically represented as

     [tex]F_f  =  \mu  N[/tex]

Here  N is the normal force acting on the baby which is mathematically represented as

     [tex]N  =  m *  g[/tex]

=>   [tex]F_f  =  \mu *  m *  g[/tex]

Now for the baby not the slip off the shed the frictional  force between the baby and the shed must be equal to the the force applied by the child

The force applied by the child is mathematically represented as

    [tex]F  =  [M_s+m] * a[/tex]

So

     [tex] \mu *  m *  g  =  [M_s+m] * a[/tex]

=>    [tex] \mu  =  \frac{m + M_s}{m}  *  \frac{a}{g}[/tex]

What happens when light hits a transparent material like water or glass? What is
the phenomenon called?
HELP

Answers

The light will pass through the material.
The phenomenon where light passes through different mediums is REFRACTION
Hope this helps!

Types of muscle tissue includes

Skeletal muscle

Cardiac muscle

Smooth muscle

All of the above

Answers

Answer:

D. all of the above

Explanation:

hope it helps

D. All of the above

Two forces are described below:

Force 1: The squeezing force applied to remove water from a wet cloth
Force 2: The gravitational force exerted by Earth on the moon

Which statement is true about the forces? (3 points)
Both are contact forces.
Both are non-contact forces.
Force 1 is a non-contact force and Force 2 is a contact force.
Force 1 is a contact force and Force 2 is a non-contact force.

Answers

Answer:

its Force 1  is a contact force and Force 2 is a non-contact force.

Explanation:

I took the test!

Answer:

Force 1 is a contact force, Force 2 is a non-contact force :)

Explanation:

Because Force 1 is an object touching something and Force 2 is a force that is not touching something (hope this helps)

The fuel is ignited in a model rocket sitting on a launch pad, which blasts the rocket upward. The rocket goes up because: Group of answer choices air friction pushes on the escaping fuel. the downward force of gravity is less than the downward momentum of the fuel. None of the above. the fuel pushes on the launch pad. the downward force of gravity is greater than the downward momentum of the fuel.

Answers

Answer: The fuel pushes on the launch pad.

Explanation: This is a case of Newton's Third Law of Motion which states for every action in nature, there is an opposite and equal reaction.

Inside the rocket, the fuel is combusted creating a force that exerts on the launch pad by pushing it. As a reaction, the pad pushes the rocket upward, allowing it to go up. This is an example of Newton's Third Law of motion.

True or false- Normally, all objects are electrically positively charged

Answers

False. Objects usually have either a positive, neutral, or negative charge. So not all objects has a positive charge

Velocity of a car traveling in a straight line increases from 0 m/s to 30 m/s in eight seconds what is the average acceleration of the car

Answers

Average acceleration is how much the car increases (on average) per second.  So, since it increases by 30 m/s in 8 s, then dividing 30 by 8 will give you an average acceleration of 3.75 m/s^2 (remember that acceleration is ever increasing, so the unit is s^2, not just s)

For a balloon to rise in the air, the lifting force
must be greater than which force: Gravity,
Normal, or Friction?
Help please
Mark brainlist

Answers

Answer:

gravity

Explanation:

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