A rocket is fired vertically upwards starting frkm rest. It accelerates at 30m/s for 4secs. At the end of 4secs it runs out of fuel but continues to rise. How long does it rise with reference to firing position?

Answers

Answer 1

Answer:

t = 16.5 s

Explanation:

First we apply first equation of motion to the accelerated motion of the rocket:

[tex]v_{f1} = v_{i1} + at_{1}[/tex]

where,

vf₁ = final speed of rocket during accelerated motion = ?

vi₁ = initial speed of rocket during accelerated motion  = 0 m/s

a = acceleration of rocket during accelerated motion = 30 m/s²

t₁ = time taken during accelerated motion = 4 s

Therefore,

[tex]v_{f} = 0\ m/s + (30\ m/s^2)(4\ s)\\\\v_{f} = 120\ m/s[/tex]

Now, we analyze the motion rocket when engine turns off. So, the rocket is now in free fall motion. Applying 1st equation of motion:

[tex]v_{f2} = v_{i2} + g t_{2}[/tex]

where,

vf₂ = final speed of rocket after engine is off = 0 m/s

vi₂ = initial speed of rocket after engine is off  = Vf₁ = 120 m/s

g = acceleration of rocket after engine is off = - 9.8  m/s² (negative sign for upward motion)

t₂ = time taken after engine is off = ?

Therefore,

[tex]0\ m/s = 120\ m/s + (- 9.8\ m/s^2)(t_{2})\\\\t_{2} = \frac{120\ m/s}{9.8\ m/s^2}\\\\t_{2} = 12.25\ s[/tex]

So, the time taken from the firing position till the stopping position is:

[tex]t = t_{1} + t_{2}\\\\t = 4 s + 12.5 s[/tex]

t = 16.5 s


Related Questions

Un bloque de 25 n se encuentra suspendido por un hilo al techo vitamina la tensión que aparece en el hilo

Answers

Answer:

T = 25 N

Explanation:

The question says that "A 25 n block is suspended by a wire from the ceiling vitamin the tension that appears in the wire ?"

Weight of the block, W = 25 N

Weight of a body acts in downward direction and tension acts in upward direction. It would mean that,

Tension = weight of the block

T = mg

T = 25 N

Hence, the tension in the wire is 25 N.

What do the most abundant elements in Earth’s atmosphere have in common?

Answers

Answer: Since the oceans are mostly water, the elements hydrogen and oxygen are the most common. Sodium and chlorine are found in the salt in ocean water. Earth's atmosphere is made up of a combination of gases, including nitrogen, oxygen, and carbon dioxide. Nitrogen and oxygen are the most common elements in the atmosphere..

A string attached to an airborne balloon was maintained at an angle of 54 degrees with the ground. If 2.3 m of string was reeled in to return the balloon back to the ground, what was the horizontal and vertical displacements

Answers

Answer:

dₓ = 1.35 m

dy = 1.86 m

Explanation:

In order to find the vertical and horizontal components of the displacement, we can assume a right triangle. Such that, the length of string is the hypotenuse, making and angle of 54° with the base of triangle. The base is the horizontal component of displacement. And the perpendicular is the vertical component of displacement. Therefore:

[tex]d_{x} = d\ Cos\ \theta[/tex]

where,

dₓ = horizontal component of displacement = ?

d = resultant displacement = 2.3 m

θ = angle between displacement and ground = 54°

Therefore,

[tex]d_{x} = (2.3\ m)\ Cos\ 54^0[/tex]

dₓ = 1.35 m

For vertical component of displacement:

[tex]d_{y} = d\ Sin\ \theta\\d_{y} = (2.3\ m)\ Sin\ 54^0[/tex]

dy = 1.86 m

Find the force of gravity acting between at 1.7x10^30 kg planet with
5.5x10^20 kg moon that is 2x10^5 m away.
A) 4.0x10^30 N
B) 5.0x10^30 N
C) 4.3x10^30 N
D) 9.8x10^30 N

Answers

None of these answers are correct...

Applying the law of universal gravitation, we have

F = G m₁ m₂ / R²

where

G = 6.67 × 10⁻¹¹ N•m²/kg²

m₁ = 1.7 × 10³⁰ kg

m₂ = 5.5 × 10²⁰ kg

R = 2 × 10⁵ m

→   F = (6.67 × 1.7 × 5.5)/2² × 10⁻¹¹⁺³⁰⁺²⁰⁻¹⁰ N

→   F ≈ 15.59 × 10²⁹ N

→   F ≈ 1.6 × 10³⁰ N

PLS HELP ASAP
I NEED HELP
HAPPY HOLIDAYS

Answers

Answer:

Displacement is calculated using the following formula: [tex]d = v \times t[/tex]Where v in meters per second is the velocity and t in seconds representing time Hence d = 14,542.32


6. Why does sound travel faster through a steel bar than through a swimming pool filled with water?
Water is a denser medium than steel.
Water has a larger wavelength than steel.
Steel has a larger wavelength than water.
Steel is a denser medium than water.

Answers

I understand that sound travels faster in water then in air. Water is a liquid, and air is gas.

Water still has the ability to roll the molecules over each other (so water can flow), it has some flexibility.

But I do not understand how a solid that is inflexible can make sound waves travel faster then in a flexible liquid.

In fact, sound waves travel over 17 times faster through steel than through air.

Sound waves travel over four times faster in water than it would in air.

A thermal cap used in certain apparatus consist of silica rod which fits tightly inside an aluminium tube whose internal diameter is 8mm at 0 degree c … elcius.Calculate what change in temperature to produce channel whose cross section equal to 1 mm

Answers

Answer:

change in temperature is a decrease by 268.734 K

Explanation:

We are given;

Temperature: T1 = 0°C = 273 K

Internal diameter; d1 = 8mm

Final diameter; d2 = 1 mm

To solve this, we will use Charles law formula since pressure is constant.

Thus;

V1/T1 = V2/T2

Where T2 is the final temperature.

Now, V1 and V2 are volume

Volume is given by: V = area x height

We are told the cross section is equal except for the diameter.

Thus;

V1 = A1 × h

V2 = A2 × h

Thus;

(A1 × h)/T1 = (A2 × h)/T2

h will cancel out and making T2 the subject, we have;

T2 = (A2 × T1)/A1

A2 = π(d2)²/4

A1 = π(d1)²/4

Thus;

T2 = [(π(d2)²/4) × T1]/(π(d1)²/4)

π and 4 will cancel out to givw;

T2 = ((d2)²× T1)/(d1)²

T2 = (1² × 273)/8²

T2 = 273/64

T2 = 4.266 K

Thus;

Change in temperature = T2 - T1 = 4.266 - 273 = -268.734 K

Thus, change in temperature is a decrease by 268.734 K

Joey throws a football 30 meters with a force of 10 N. How much work
does Joey do?

Answers

Answer:

300 Joules

Explanation:

Just use the Work formula:

W = F . D

W = 10 . 30

W = 300 Joules

help please 10 pts and quick!

Answers

Answer: A

Explanation: as you can see it would be a 50/50 chance because there is 2 for each hope this helps(:

The diagrams show the four primary steps in the production of work in a four-stroke heat engine.

An illustration of a internal combustion engine cylinder at four different stages. The first illustration is labeled W with red ejected out of the left valve, the second is labeled X with purple in the cylinder trapped by the piston and valves, the third is labeled Y with the piston going down and the fluid red, the last is labeled Z with purple coming into the cylinder from the right valve.

What is the correct order in which these steps occur?

Answers

Answer:

D) Z,X,Y,W

Explanation:

TOOK THE QUIZ MATE, TOOK THE MF QUIZ

Answer:

D

Explanation:

edge 21

A mirror forms an erect image of 30 cm from the object and a fifth of its height. Where must the mirror be situated? What is its radius of curvature? Assuming the object is to be real, determine whether it is convex or concave

Answers

concave

Explanation:

convex would magnify

What nuclear process changes one element into another different element?
A
transfiguration
B
transduction
C
transmutation
D
transgeneration​

Answers

The answer is nuclear transmutation
The answer would option C

Which two elements would most likely form an ionic compound?

a
From the Periodic Table of Elements - #6 carbon and #8 oxygen
b
From the Periodic Table of Elements - #3 lithium and #9 fluorine
c
From the Periodic Table of Elements - #1 hydrogen and #7 nitrogen
d
From the Periodic Table of Elements - #5 boron and #10 neon

Answers

Answer:

boron and neon.

Explanation:

two element compounds are usually ionic when one element is a metal and the other is a non-metal. boron is a metal, whereas neon is a non-metal. i might be wrong but hope it helps.

What is the displacement of the particle in the time interval 7 seconds to 8 seconds? A. 0 meters B. 1.5 meters C. 3 meters D. 7 meters

Answers

Answer:

It's 1.5 meters

Explanation:

plato

A bicyclist initially at rest, begins pedaling and gained speed steadily for 4.80s during which she covers 37.0m What was her final speed?

Answers

Answer:

The final speed of the bicyclist is 15.44 m/s.

Explanation:

Given;

initial velocity, u = 0

time of motion, t = 4.8 s

distance covered, d = 37.0 m

The acceleration of the bicyclist is calculated as;

d = ut + ¹/₂at²

37 = 0 + ¹/₂(4.8)²a

37 = 11.52a

a = 37 / 11.5

a = 3.22 m/s²

The final speed of the bicyclist is given as;

v² = u² + 2ad

v² = 0 + 2(3.22)(37)

v² = 238.28

v = √238.28

v = 15.44 m/s

Therefore, the final speed of the bicyclist is 15.44 m/s.

If I hold an .63kg basketball 2 meters above the
ground, how much potential energy does it have?
If I drop the basketball from this height, how
much kinetic energy would it have right before it hits the floor?

Answers

Answer:

P.E.= 12.348 joules

K.E.=1.26 joules

Explanation:

Which of Earth's Layers is solid but still "bendable"?

Answers

Answer:

Mantlee

Explanation:

Jonas and his family are moving to another part of the city. As Jonas, his brother, and his Dad were driving one of the trucks filled with furniture to their new home, Jonas noticed that the truck seemed to take longer to stop now that it was heavier with the furniture. Which Newton's Law explains why this happens?

Answers

Answer:newtons second law

Explanation:

To get something to accelerate you have to apply a pull force . if the mass increase a grater pull is required

The law that explains the fact that a heavier truck takes a longer time to stop is Newton's law of inertia.

According to Newtons first law of motion also called the law of inertia, a body will continue in a state of rest or uniform motion unless it is acted upon by an external, unbalanced force.

This law explains the reluctance of heavier objects to move or stop. The law that explains the fact that a heavier truck takes a longer time to stop is Newton's law of inertia.

Learn more: https://brainly.com/question/14281129

Which of the following exhibit parabolic motion?

a flat rock skipping across the surface of a lake ​
a three-point shot in basketball ​
an airplane in flight at a steady cruising altitude ​
a ball bouncing across the room ​
a life preserver dropped from a stationary helicopter​

Answers

Answer:

A

Explanation:

Hopefully this helps

If you have a liquid with a mass of 6g and a density of 25g/ml, what volume of liquid do you have?

Answers

Hello!!

For calculate the volume of the liquid, lets applicate the formula:

[tex]\boxed{V=m/ p }[/tex]

[tex]\textbf{Being:}[/tex]

[tex]\sqrt{}[/tex] V = Volume = ?

[tex]\sqrt{}[/tex] m = Mass = 6 g

[tex]\sqrt{}[/tex] p = Density = 25 g/ml

[tex]\text{Let's \textbf{replace} and resolve: }[/tex]

[tex]V = 6 \ g / 25 \ g / m l[/tex]

[tex]V = 0,24 \ m l[/tex]

[tex]\textbf{Result:}[/tex]

The volume of the liquid is 0,24 ml.



Which statement supports the idea that the Earth rotates on its axis?

A) The apparent size of the Sun changes throughout the year.
B) length of the day and night varies throughout the year
C) The seasons spring summer, fall, and winter) repeat in a cyclic mannet.
D)The stars appear to follow circular paths across the sky

Answers

Answer:

c

Explanation:

because the other would not make sense

Marc was told his dinner would be ready at 18:00. He left his house at 12:00 and travelled in his car at an average speed of 45mph to his mum's house 300 miles away. Did Marc make it home in time for dinner

Answers

Answer:

No

Explanation:

No, Marc did not make it on time for dinner.

The time duration between 12:00 and 18:00 is 6 hours.

Total distance that needs to be covered from his house to his mum's house and back = 300 miles x 2 = 600 miles

Time that would be needed to cover 600 miles to his mum's house at an average speed of 45 mph = distance/speed

    = 600/45

            = 13.33 hours

The required time to cover the distance by Marc is approximately 13.33 hours. If he leaves the house by 12:00, he will definitely not get back 6 hours after. Hence, he could not have made it for dinner.

Falling Faster
Imagine that you are standing on the observation deck of the Empire
State Building. You drop a hammer and a feather at the same time
over the edge of the building.
1. Will the hammer or the feather reach the ground first? Explain.
per anstre here
2. Why do the hammer and the feather fall to the ground?

Answers

In a vacuum they would fall at the same speed, but since it is only off the empire State building, the hammer would fall first

Gravity

Consider two objects have mass m1= 6kg and m2 = 0.5kg specific heat capacity c1 = c2 =4200J/kg.℃ , respectively. Assume that, first object has temperature 20℃ and second object has temperature 90℃ . After, they placed this two object touch each other. Determine the mixture temperature of substance

Answers

Answer:c=-56+ 8

Explanation:

HELP ASAP!!!! WILL GIVE BRAINLIEST!

Explain how organelles and other structures interact to secrete substances from the cell.

Answers

Answer:

Vacculoes, vesicles

Explanation:

Organelles and other structures within the cells have vesicles collectively referred to as the endo-membrane system. The Lysosomes pack up the substances, and the vesicles go through the porsous membrame and secrete the substances.

According to the law of conservation of matter, the number of _______ is not changed by a chemical reaction.
A.
products
B.
molecules
C.
atoms
D.
bonds

Answers

Answer:

c

Explanation:

SHOW ME YOUR SMARTS FOR BRAINLIEST
Why is the value of a substance’s specific gravity always the same numerically as its density?

Because it is always the substance’s density divided by the density of water which is 1 g/cm 3
Because it is always the substance’s density multiplied by the density of water which is 1 g/cm 3
Because specific gravity is the inverse of density
Because these represent the same measurement

Answers

Answer:

Because it is always the substance’s density divided by the density of water which is 1 g/cm 3

Explanation:

The density of water is 1g/cm³;

  Specific gravity = [tex]\frac{density of substance}{density of water}[/tex]

Since specific gravity is a relative comparison of a substance density with that of water, the values always the same.

Density of water is 1 and it will have no effect on the density of the substance.

The only difference is in the units. The density of a substance will have a unit but that of the specific gravity will have no unit.

Numerically, dividing by 1 has no implication.

Answer:  the answer is C

Explanation:Specific gravity is the density of a substance divided by the density of water. Since (at standard temperature and pressure) water has a density of 1 gram/cm3, and since all of the units cancel, specific gravity is usually very close to the same value as density

What current in a solenoid 15-cm long wound with 100 turns would produce a magnetic field equal to that of the Earth, 5 cross times 10 to the power of negative 5 end exponentT ?

Answers

Answer:

The value is  [tex]I= 0.0597\ A[/tex]  

Explanation:

From the question we are told that

    The length of the solenoid is [tex]l = 15 \ cm = 0.15 \ m[/tex]

     The number of turns is  [tex]N = 100[/tex]

      The  magnetic field of the earth is  [tex]B = 5* 10^{-5} \ T[/tex]

Gnerally magnetic field is mathematically represented as

          [tex]B = \frac{\mu_o * N * I }{ l }[/tex]

=>        [tex]I= \frac{Bl}{ \mu_o *N }[/tex]

=>        [tex]I= \frac{ 5 *10^{-5} * 0.15}{4\pi *10^{-7} *100 }[/tex]  

=>        [tex]I= 0.0597\ A[/tex]  

a projectile is fixed from ground level with a velocity 500m/s at 30 degree to the horizontal .find its horizontal range, the greatest height and time to reach the greatest height.​

Answers

Answer:

1. 22092.31 m

2. 3188.78 m

3. 25.51 s

Explanation:

Let's split this projectile's motion into its horizontal and vertical components:

Horizontal (v_x) component: 500 * cos(30)Vertical (v_y) component: 500 * sin(30)

Since this projectile is in constant acceleration (9.8 m/s² vertically downwards and 0 m/s² horizontally), we can use the kinematic equations for constant acceleration.

Let's find the time it takes for the projectile to reach its greatest height first by using our knowledge that, at the top of its trajectory, the projectile will have a final velocity of 0 m/s before changing its direction and falling down.

Therefore, we can use the equation that contains the variables a_y, v_f, v_i, and t in order to solve for time t.

This equation is: v = v_0 + at, where v is the final velocity, v_0 is the vertical component of the initial velocity, a is the acceleration in the y-direction, and t is the time of flight of the projectile.

Plug known values into the equation:

0 = 500 * sin(30) + (-9.8)t

Subtract 500 * sin(30) from both sides of the equation.

-500 * sin(30) = -9.8t

Divide both sides by -9.8.

t = 25.51

The time it takes the projectile to reach its greatest height is 25.51 seconds.

Now we can use this time t to find the greatest height of the object, which will be the displacement in the y-direction at t = 25.51 seconds.

We can use this equation that contains the variables displacement (Δx), initial velocity (v_0), acceleration (a_y), and time (t):

Δx = v_0 t + 1/2at²

Plug known values into the equation.

Δx = [500 * sin(30)] * 25.51 + 1/2(-9.8)(25.51)² Δx = 6377.5 + -4.9 * 650.7601 Δx =  6377.5 + -3188.72449  Δx = 3188.77551

The displacement in the y-direction is 3188.78 m at half the time t, meaning that this is the greatest height of the projectile.

Now we can find the horizontal range of the projectile by using the same equation, but this time in the x-direction.

Δx = v_0 t + 1/2at²  

We will use the x-component of the initial velocity and the acceleration in the x-direction, which is always 0 m/s² assuming air resistance is negligible. Note that the time we have above (25.51 sec) is only half the total time, so we will use double this time (51.02 sec).

Δx = [500 * cos(30)] * 51.02Δx = 22092.31

The horizontal range of the projectile is 22092.31 m.

What is 3,278,000 as scientific notation?

Answers

3.278*10^6 I think. Sorry if it’s wrong.
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