A model rocket Was built last weekend. We launched it in a nearby field. The rocket took off Straight up with an initial velocity 62.3 m/s. If it accelerates upward at 4.30 m/s2 until the engines stop 3.73 s later: (a) What is the maximum height the rocket reaches? (b) How long is the rocket in the air? (c) What is the velocity of the rocket as it hits the ground?

Answers

Answer 1

Answer:

a)  y_total = 575.4 m , b)   t_total = 22.56 s , c)  v = 106.20 m

Explanation:

a) We can solve this exercise using the scientific relations

Let's find the height reached while the engines are running

         v₁ = v₀ + a t

         v₁ = 62.3 + 4.30 3.73

         v₁ = 78.339 m / s

in this time it rose

        y₁ = v₀ t₁ + ½ a t₁²

        y₁ = 62.3 3.73 + ½ 4.30 3.73²

         y₁ = 262.29 m

At this moment the engines are turned off and the rocket continues in a vertical launch, suppose that the acceleration of gravity is constant in this path

        v₂ = v₁ 2 - 2 g y₂

       

at maximum height the velocity is zero (v₂ = 0)

        y₂ = v₁ 2 / 2g

        y₂ = 78.339 2/2 9.8

        y₂ = 313.11 m

the total height is

       y_total = y₁ + y₂

       y_total = 262.29 + 313.11

       y_total = 575.4 m

b) the time the rocket is in the air is

       t_total = t₁ + t₂

where t₂ is the time after the engines have shut down

       y = y₁ + v₁ t₂ - ½ g t₂²

      y = 0

      0 = 262.29 + 78.339 t₂ - ½ 9.8 t₂²

      t₂² - 15.99 t₂ - 53.53 = 0

      t₂ = [15.99 ±√ (15.99² +4  53.53)] / 2

      t₂ = [15.99 ± 21.67] / 2

      t₂´ = 18.83 s

      t₂´´ = -2.84 s

since the time must be a positive quantity the correct result is t2 = 18.83 s, the total time in the air is

      t_total = 3.73 + 18.83

      t_total = 22.56 s

c) the speed when it hits the ground

We can perform this calculation starting with the maximum height y = 575.4 m where it has zero initial velocity (vo = 0)

      v² = v₀² + 2 g y

      v = √ 2gy

       v = √ (2 9.8 575.4)

       v = 106.20 m


Related Questions

Earth is 1.5 ✕ 1011 m from the Sun. Neptune is 4.5 ✕ 1012 m from the Sun. How does the gravitational field of the Sun on Neptune (gSN) compare to the gravitational field of the Sun on Earth (gSE)?

Answers

Answer:

The gravitational field of the Sun on Earth is greater than the gravitational field of the Sun on Neptune.

Explanation:

From Newton's law of universal gravitation,

F = [tex]\frac{GMm}{R^{2} }[/tex] ............. 1

where F is the force, G is the gravitational constant, M is the mass of the bigger object, m is the mass of the smaller object and R is the distance between their centers.

Also, Newton's second law of motion state;

F = mg ................ 2

where F is the force, m is the mass and g is the gravitational force.

Equating 1 and 2,

mg = [tex]\frac{GMm}{R^{2} }[/tex]

⇒ g = [tex]\frac{GM}{R^{2} }[/tex]

Given that the distance between the Sun and Earth is 1.5 x [tex]10^{11}[/tex] m, then the gravitational field of the Sun on Earth,

gSE = [tex]\frac{GM}{(1.5*10^{11}) ^{2} }[/tex]

       = [tex]\frac{GM}{2.25*10^{22} }[/tex] .................. 3

Given that the distance between the Sun and Neptune is 4.5 x [tex]10^{12}[/tex] m, then the gravitational field of the Sun on Neptune,

gSN = [tex]\frac{GM}{(4.5*10^{12}) ^{2} }[/tex]

        = [tex]\frac{GM}{2.025*10^{25} }[/tex] ............. 4

Comparing equations 3 and 4, it can be observed that gSE > gSN.

The gravitational field of the Sun on Earth is greater than the gravitational field of the Sun on Neptune.

which sustainable practice is paired correctly with its impact on the environment.

Answers

Answer:

Answer: Creating more wind farms results in a reduction of fossil fuel use

Explanation:

Economical improvement is to make earth a superior spot for everybody, without wrecking the opportunities for the following ages. There are numerous Eco frameworks that should be in equilibrium for us to live here, the atmosphere framework is one of them. This framework guarantees that the atmosphere is right and the air transmits the perfect measure of sunlight based energy. With the destructive nurseries gases, (for example, Carbon dioxide) we stop up the air, this progressions the temperature of the earth that can influence our turn of events  

How we use energy is extraordinarily significant. Oil and coal are tests of energy that we may run out of, utilizing energy that restore themselves (wind ranches) is useful for the planet. Wind, water and sun are maintainable.

Hope this Helps (✿◡‿◡)

Answer:

Answer: D.Creating more wind farms results in a reduction of fossil fuel use

Explanation:

The other name for 'net force' is 'unbalanced force'. What is the name of the force that could be applied to an object that would balance a net force and create a state of equilibrium?

Answers

Answer:

Friction

Explanation:

This is because friction tends to oppose the motion of an object. Since the unbalance force or net force causes a motion of the object, the frictional force would tend to oppose the object until it is large enough to balance the net force. When this is done, equilibrium is achieved.

At this instance, there is no net force acting on the object.

So, the forces on the object become balanced and in a state of equilibrium.

A .422 kg coffee mug rests on a table top 0.63 m above the floor. What is the potential energy of the mug with respect to the floor?

Answers

Answer:

2.61 J

Explanation:

Since potential energy U = mgy where m = mass of object, g = acceleration due to gravity = 9.8 m/s² and y = height of object above the ground.

Now for the coffee mug, m= 0.422 kg and it is 0.63 m on a table, so it is 0.63 m above the ground. Thus, y = 0.63 m.

We compute U

U = mgy

= 0.422 kg × 9.8 m/s² × 0.63 m

= 2.605 J

≅ 2.61 J

So, the potential energy of the mug with respect to the floor is 2.61 J

PLEASEEE HELPPP...Balance the following equation: _ Hv2_0v2--> Hv20

(the v is meant to show the following Tasks:

Answers

It is 33

Explanation:

A rocket has a mass of 80,000 kg and accelerates at a rate of 35 m/s2. Calculate the force that provides this acceleration.

Answers

Force = mass * acceleration
=80,000kg*35=2,800N

I think that’s answer but i’m not sure

The amount of force that provides an acceleration of 35m/s² with a mass of 80,000kg is 2,800,000N.

HOW TO CALCULATE FORCE:

The force applied on an object can be calculated by multiplying the mass of the object by its acceleration. That is;

Force (N) = mass (kg) × acceleration (m/s²)

According to this question, a rocket has a mass of 80,000 kg and accelerates at a rate of 35 m/s². The force can be calculated as follows:

F = 80,000kg × 35m/s²

F = 2,800,000N

Therefore, the amount of force that provides an acceleration of 35m/s² with a mass of 80,000kg is 2,800,000N.

Learn more at: https://brainly.com/question/20207503?referrer=searchResults

Jupiter is made of gas(like Saturn, Uranus and Neptune). What would happen to the strength of gravity if you
a) moved away from Jupiter

b)Fell in to Jupiter

PLS HELP ME OMG ITS DUE TOMOROW AND I HAVE NO CLUE WHAT TO DO BEST EXPLANATION GETS BRAINLIEST

Answers

Answer:

a) The strength of gravity decreases if one moved away from Jupiter

b) The strength of gravity increases if one fell into Jupiter

Explanation:

The gravitational attraction is given by Newton law of gravitation as follows;

[tex]Force \ (strength) \ of \ gravity = \dfrac{G \times M \times m}{R^2}[/tex]

Where;

G = The universal gravitational constant = 6.67408 × 10⁻¹¹ m³/(kg·s²)

M = The mass of Jupiter

m = The mass of the nearby body

R = The distance between the centers of Jupiter and the body

From the equation, we have that the gravitational strength varies inversely with the square of the separation distance between two bodies

Therefore, as one moves away, R increases, and the strength of gravity reduces

Similarly as the body falls into Jupiter, R, reduces the gravitational strength increases.

Are the small sized gears only force, speed and distance, only speed

Answers

If the gears are of different sizes, they can be used to increase the power of a turning force. The smaller wheel turns more quickly but with less force, while the bigger one turns more slowly with more force. Cars and bicycles use gears to achieve amazing speeds our bodies could never match without help.

3 points
14. Even though the water in a filled bathtub may be at the same
temperature as water in a teacup, the water in the bathtub has more
because it contains a greater number of water
molecules.
Choose
convection
kinetic energy
thermal energy
potential
temperature
Page 3 of 4

Answers

Answer:

Potential

Explanation:

The water in the bathtub has more potential energy than that in the tea cup because it has a greater number of water molecules.

Mass is a parameter that is very instrumental in determining potential energy.

The potential energy of a body is the energy due to the position of that body.

   Potential energy  = mass x acceleration due gravity x height

Mass is the amount of matter in a substance. Water in the tub will have more mass and contain a greater number of water molecules there in.

Since potential energy is directly proportional to mass, then, it will have a greater amount of potential energy.

A place Or object used for comparison to determine if something is in motion is called a what?

Answers

Answer:

[tex] \boxed{ \bold{ \sf{Reference \: point}}}[/tex]

A place or object used for comparison to determine if something is in motion is called a reference point .

Explanation :

A reference point can be defined as a fixed point / place / object from which we compare the motion of an object. For example :

When we are travelling by bus , we are in motion with respect to a nearby tree. Here , the tree acts as a reference point or reference frame.

Hope I helped!

Have a wonderful time ツ

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What is the gravitational constant g?

Answers

Answer: In SI units, G has the value 6.67 × 10-11 Newtons kg-2 m2. The direction of the force is in a straight line between the two bodies and is attractive. Thus, an apple falls from a tree because it feels the gravitational force of the Earth and is therefore subject to “gravity”.

Explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

The boat will go faster.

Explanation:

8) A block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm. The block weighs 1587 g. From this information, calculate the density of lead.
9) 28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. The water level rises to the 49.10 mL mark, from this information, calculate the density of iron.
10) What volume of silver metal will weigh exactly 2500.0 g. The density of silver is 10.5 g/cm3.

Answers

Answer:

[tex]11.3\ \text{g/cm}^3[/tex]

[tex]7.92\ \text{g/cm}^3[/tex]

[tex]238.1\ \text{cm}^3[/tex]

Explanation:

8) Volume of lead

[tex]V=4.5\times 5.2\times 6\\\Rightarrow V=140.4\ \text{cm}^3[/tex]

m = Mass of block = 1587 g

Density is given by

[tex]\rho=\dfrac{m}{V}\\\Rightarrow \rho=\dfrac{1587}{140.4}\\\Rightarrow \rho=11.3\ \text{g/cm}^3[/tex]

Density of lead is [tex]11.3\ \text{g/cm}^3[/tex]

9) Volume of lead = Volume of water displaced = (49.1-45.5) = 3.6 mL = [tex]3.6\ \text{cm}^3[/tex]

m = Mass of iron = 28.5 g

Density is given by

[tex]\rho=\dfrac{m}{V}\\\Rightarrow \rho=\dfrac{28.5}{3.6}\\\Rightarrow \rho=7.92\ \text{g/cm}^3[/tex]

The density of iron is [tex]7.92\ \text{g/cm}^3[/tex]

10) m = Mass of silver = 2500 g

[tex]\rho[/tex] = Density of silver = [tex]10.5\ \text{g/cm}^3[/tex]

Volume is given by

[tex]V=\dfrac{m}{\rho}\\\Rightarrow V=\dfrac{2500}{10.5}\\\Rightarrow V=238.1\ \text{cm}^3[/tex]

The volume of silver is [tex]238.1\ \text{cm}^3[/tex]

what does interval training involve

Answers

Answer:

Interval training is simply alternating short bursts (about 30 seconds) of intense activity with longer intervals (about 1 to 2 minutes) of less intense activity. For instance, if your exercise is walking and you're in good shape, you might add short bursts of jogging into your regular brisk walks.

Explanation:

Answer:

Interval training is simply alternating short bursts (about 30 seconds) of intense activity with longer intervals (about 1 to 2 minutes) of less intense activity. For instance, if your exercise is walking and you're in good shape, you might add short bursts of jogging into your regular brisk walks

Explanation:

The S.T.O.P strategy is useful for situations involving negative peer pressure
A: True
B: False

Answers

Answer:

(A.) it is true

Explanation:

the stop strategy

1. State the situation or problem.

2.Tell the person what you want.

3.Offer an opportunity to respond.

4.Provide closure (review, summary, or thanks).

could help you explain the situation to your peer

A paint can is sitting on a ladder 20 m high. It has a mass of 7 kg. What is the
potential energy of the paint can?

Answers

Answer:

The answer is 1400 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 20 × 10 × 7

We have the final answer as

1400 J

Hope this helps you

(AKS 3al) Which graph best represents a moving object in a state of equilibrium
Graph 1
Graph 3

Graph 2
Graph 4
A. Graph 4
o
B. Graph 2
O C. Graph 3
D. Graph 1

Answers

Where is the image? I am unable to find it.

Kayla and her friends are setting up chairs for a school play each row will contain the same number of chairs Kayla knows that there are 96 chairs and all she wants there to be eight rows Kayla needs to know how many chairs, c, should be in each row. Which equation represents the situation. Which equation represents the situation

Answers

There are a total of 12 chairs in each row, and the scenario is represented by the equation 8c = 96.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, there are 96 chairs and all Kayla wants there to be eight rows.

Let "c" be the number of chairs in each row,

Since there is a total of 96 chairs and 8 rows.

The equation for the situation is:

8 *c = 96

So,

In 8 rows there are a total number of chairs = 96

In each row, there are a total number of chairs = 96/8

In each row, there are a total number of chairs = 12

Therefore, the equation that represents the situation is 8c = 96 and there is a total of 12 chairs in each row.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ1

What is the velocity of a wave that has a wavelength of 20 meters and frequency of 0.5
Hz?

Answers

Answer:

v = 10 m/s

Explanation:

recall that velocity is related to wavelength and frequency by the formula

v = fλ

where v = velocity, f = frequency and λ= wavelength

Simply substitute these into the formula:

v = fλ

v = (0.5)(20)

v = 10 m/s

Answer:

10 m/s

I hope this helps :)

HELP ASAP!!!
The development of the periodic table created predictable trends. What trend
does electronegativity follow?

Answers

The general trend is that electronegativity increases as you go up and to the right on the periodic table

Answer:

electronegativity increases from left to right

Explanation:

took quiz

the answer will b bc grass hopppers cant swin

Answers

Answer:

ya thats right they cant swim

Explanation:

Which layer cools with height and also has the earths weather in it
A the Troposphere
B The stratosphere
C The thermosphere
D the Mesosphere

Answers

Answer:

A) Troposphere

Explanation:

It is the lowest layer of the earth's atmosphere.

Help me with this please!

Answers

Answer:

b i. The curve would be less steep than both of the graphs.

c. The temperature was the same at the start of the experiment so that the only variable changed in the experiment would be the thickness of the walls and the change in temperature can be measured from the same starting temperature, ensuring a fair experiment.

Explanation:

b i. Since you know that a thicker wall conducts heat from the inside room to the surroundings slower (based on my previous answer ;)), heat from the room would be conducted to the surroundings by the thicker wall slower and the temperature change will be less drastic and the graph would be less steep.

c. In an experiment, only one independent variable can be changed and we would normally record the dependent variable to get a conclusion for the experiment as the dependent variable is the variable that is affected by the independent variable. We should not change any other variable in the experiment, such as the starting temperature of the experiment.

For e.g. If you want to find out how the amount of water affects a plant's growth, the amount of water would be the independent variable and that would be the only thing you would change in that experiment. During the experiment, you would record the dependent variable, which is the height of the plant. The type of plants used and the type of soil..etc should be kept the same/constant so that it is a fair experiment, as a better type of soil may make the plant grow taller.

If you throw your annoying little sister down the stairs with a force of 60 N and she weighs 30 kg. What’s her acceleration rate?

Answers

Depends on what units you are using but

0.028196 gravitational acceleration on earth

0.2765 meters per second squared

0.9072  feet per second squared

Which of the following would result in the biggest INCREASE in erosion by a river

Answers

The biggest increase would probably be a flood.

Which one has greater potential energy? An 8 kg rock sitting on a 2.2 m cliff or a 6 kg rock sitting on a 3.2 m cliff.

Answers

Answer: The 6 kg rock sitting on a 3.2 m cliff.

Explanation:

The potential energy of an object of mass M that is at a height H above the ground us:

U = M*H*g

where g is the gravitational acceleration:

g = 9.8m/s^2

Then:

"An 8 kg rock sitting on a 2.2 m cliff"

M = 8kg

H = 2.2m

U = 8kg*2.2m*9.8 m/s^2 = 172.48 J

"a 6 kg rock sitting on a 3.2 m cliff"

M = 6kg

H = 3.2m

U = 6kg*3.2m*9.8m/s^2 = 188.16 J

You can see that the 6kg rock on a 3.2m cliff has a larger potential energy.

car sitting on a drive way is that an kinetic or potential energy​

Answers

Answer:

kinetic energy..........

PLEASE HELP!! ILL MARK BRAINLYEST!!


MORE THAN ONE
When an acid and a base are mixed, the excess ions:


A. combine to form water
B. increase
C. decrease
D. neutralize each other

Answers

Answer:

decrease and neutralize each other

Explanation:

I think that the answer is d,a,c

The transfer of heat by the movement of a fluid is called: Think about it: Imagine a pocket of air over the land (“land air”), and another pocket of air over the ocean (“ocean air”).

Which air pocket would you expect to heat up more during the day?

Why?

Answers

Answer:

The transfer of heat by the movement of fluid is called Convection Heat Transfer

Explanation:

Heat transfer by convection is the transfer of heat by fluid transport from one place to another, such that convection takes place when the heat that comes in contact of fluid containing body is moved to other parts of the container by the transporting fluid

Heat is transferred within a fluid medium mainly by convection (movement of heat by the transfer of fluid particles in the medium)

Convection heat transfer is a combination of conduction and advection heat transfer

In a car engine, what type of energy is released at a high level, leading to inefficiency?

A. Mechanical
B. Electrical
C. Chemical
D. Thermal

Answers

Thermal energy is the answer
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