a 10.0 kg experimental rocket is catapulted from kennedy space center. it leaves the launch pad with kinetic energy of 1960 j. a) what elements comprise the closed system in this problem and what is the conservative force acting on the experimental rocket? b) how high will the rocket rise?

Answers

Answer 1

a). The elements that comprise the system in the question above are kinetic energy and potential energy.

b). The rocket will rise to 20 m high.

Given:

Rocket mass (m) = 10.0 kgInitial kinetic energy (K1) = 1960 J

b)

To calculate the height of the rocket rise, we can use the law of conservation of mechanical energy equation:

  K1 + U1 = K2 + U2

U is the potential energy that the rocket has. Its formula is

  U = m * g * h

Since we have the mass and acceleration due to gravity, we can calculate the height using that formula.

So,

  K1 + U1 = K2 + U2

1960 + U1 = 0 + U2    -> K2 = 0 because at max height, kinetic energy is 0.

         U2 = 1960 J

1960 = m * g * h

1960 = 10 * 9.8 * h

    h = 20 m

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Related Questions

an earth satellite moves in a circular orbit at a speed of 5500 m/s . part a what is its orbital period?

Answers

According to the solving using gravitational law the earths  its orbital period = 5.6 hours.

What does the gravity principle mean?

Every particle in the universe is drawn to every other component with a force that is directly related to the product between their masses and inversely proportional to their separation from one another, according to Newton's Law of Universal Gravitation. As a result, the general gravitation equation takes shape. F ∝ m 1 m 2 r 2.

What precisely is the first law of gravitation?

Newton's first law asserts that an object at rest will stay at rest and also an object in motion will keep moving at a fixed pace unless they are both subject to a net external force.

According to the given information:

The strength of attraction between two particles can be expressed as follows, according to Newton's gravitational law:

F = [tex]G\frac{M_1M_2}{R^2}[/tex]

speed of satellite = v = 5000 m/s

mass of earth = M = 6 × 10²⁴ kg

orbital period = T = ?

∑F = ma

[tex]G\frac{mm_2}{R^2}[/tex] = M[tex]\frac{v^2}{r}[/tex]

Substituting the value we get:

T = 2πG[tex]\frac{M}{v^3}[/tex]

T = 2π ×  6.67 × 10⁻¹¹ [tex]\frac{ 6 * 10^2^4}{5000^3}[/tex]

T = 20116s

T = 5.6 hours.

According to the solving the earths  its orbital period = 5.6 hours.

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Stretch:
A) How many waves are on the diagram
diagram?
B) What is the time period of the wave
C) What is the frequency of the wave

Answers

(a) The number of waves on the diagram is 2.

(b) The period of the of the oscillation of the wave is 0.4 second.

(c) The frequency of the wave is 2.5 Hz.

How many waves are on the diagram?

The number of waves on the diagram is determined by calculating the number of cycles.

number of waves = 2

The period of the of the oscillation of the wave or the time taken to make a complete cycle is calculated as;

T = 0.4 seconds

The frequency of the wave is the reciprocal of the period of the wave and it is calculated as follows;

f = 1/T

f = 1 / 0.4

f = 2.5 H

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the force between two charges is 10 n. if the distance between the two charges is tripled and both of the charges are tripled, what is the resulting force between the two charges?

Answers

Coulomb's Law states that the force exerted between two electric charges is negatively correlated to their square of distance. As a result, if the range is doubled, its force will be nine times weaker.

What Exactly Is a Distance?

Distance can be defined as the amount of space an object has covered, regardless of its start or ending position.

 Keep in mind that distance between two points and the distance travelled between them are not the same.

How do forces work?

A pressure is the modification of an object's state brought on by its surroundings. Forces will cause an object.

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We fear too little those events that will claim lives. A) accidentally. *B) undramatically. C) in the near future. D) one person at a time.

Answers

We fear too little for all those events that will claim lives undramatically.

Fear is an extremely unpleasant feeling that occurs when one perceives or recognizes a threat or danger. Fear results in physiological alterations that might result in behavioral responses like mounting an aggressive defence or running away from the threat.

Our physical, emotional, or let us consider psychological health may be at risk. While most of us have particular things that make us fearful, we can learn to be scared of almost anything that are around us.

Cortisol and adrenaline, two stress hormones, are released. Your heart rate and blood pressure rise. Your respiration quickens. Even your blood supply alters; blood actually moves out from your heart and towards your limbs, facilitating the initiation of punches or other physical attacks.

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the behavior of a non-linear spring is described by the relationship , where x is the displacement from the equlibrium position and f is the force exerted by the spring. how much potential energy is stored in the spring when it is displaced a distance x from equilibrium?

Answers

The potential energy stored in the spring when it is displaced a distance "x" from the equilibrium position is [tex]U = (k/4)x^4.[/tex]

The potential energy stored in a spring can be calculated using the work-energy theorem, which states that the work done on an object is equal to the change in its potential energy. If the spring is displaced a distance "x" from the equilibrium position, the force exerted by the spring is given by the equation[tex]f = kx^3[/tex], where "k" is a constant of proportionality. The work done on the spring as it is displaced a distance "x" is given by the equation [tex]W = ∫f dx = ∫kx^3 dx.[/tex]

To find the potential energy stored in the spring, we can evaluate the definite integral:

U =[tex]∫kx^3 dx = (k/4)x^4 + C,[/tex]

where "C" is a constant of integration. The constant "C" can be determined by specifying the potential energy to be zero when the spring is at its equilibrium position, so that U = 0 when x = 0. This gives us:

[tex]C = -(k/4) * 0^4 = 0[/tex],

So the potential energy stored in the spring when it is displaced a distance "x" from the equilibrium position is:

[tex]U = (k/4)x^4.[/tex]

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A charge of 0. 00005 C and a charge of 0. 00003 C are separated by 1. 8 m What is the force between the two charges?

Answers

The required force between the two charges, when the distance between them is specified is calculated to be 416.67 N.

The charge q₁ is given as 0. 00005 C.

The charge q₂ is given as 0. 00003 C.

The separation (r) between the two charges is given as, 1.8 m.

The expression to find out the force between two charges is given as,

F = k q₁ q₂/r²

where,

k is relative permittivity (9 × 10⁹N)

q₁, q₂ are charges

r is separation between charges

Substituting the known values,

F = k q₁ q₂/r² = (9 × 10⁹× 5 × 10⁻⁴ × 3 × 10⁻⁴)/1.8² = 1350/1.8² = 416.67 N

Thus, the required force is calculated to be 416.67 N.

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What is the speed of a moon with a period of 20 hours that is orbiting a planet of radius R at a distance 5 R from the planet's center?

A) 26,000/πR m/s

B) πR/36,000 m/s

C) R/3,600π m/s

D) πR/7,200 m/s

E) π^2R/720 m/s


*I know the answer is D, but could someone please show work on how they arrived at that conclusion? Thank you!

Answers

Answer:

D) πR/7,200 m/s

Explanation:

Let's call the speed of the moon "v".

We know that the period (T) of the moon is given by: T = 20 hours = 20 hours * 3600 seconds/hour = 72000 seconds

We can relate the speed of the moon to its period and distance using the formula:

v = 2πR/T, where R is the distance of the moon from the center of the planet.

In this case, the distance is 5R, so:

v = 2π(5R)/T

= 2π(5R)/72000 seconds

= (πR)/7,200 seconds

So the speed of the moon is (πR)/7,200 m/s.

Therefore, the answer is D) πR/7,200 m/s.

Electrons moving through the circuit in the attached figure will go through the resistor from ?a) from b to a. b) from a to b.

Answers

To a from b Electrons through a circuit from of the negative to the positive end, slowing the movement of electrons as they circle the wire.

How can a resistor thwart current flow?

A material's ability to oppose the electron flow that passes through it is referred to as resistance. It limits how much electrons may go through the substance. It is measured by ohms () and indicated by the symbol (R). Free electrons begin to accelerate when voltage is introduced across the resistor.

What happens when energy passes through a resistor?

resistive energy dissipation A charge loses potential energy (Qu) as it passes through a resistor, where V is just the potential difference across the resistor force .

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a swimming pool slopes linearly from a 1.0 m depth at one end to a 3.0 m depth at the other. what is the mass of water in the pool?

Answers

volume of the pool= area of trapezium × breadth , the mass of water in the pool is = 144000.

How many grams of water are there?

One H2O molecule weighs 18.02 amu on average.The number of atoms and molecules is an exact number; neither of these factors affects the amount of significant figures.An average mole of water weighs 18.02 grams.It is reported that water has a molar mass of 18.02 g/mol.

How much water does one milliliter weigh?

Answer and justification One gram of water makes up one milliliter.Since water has a density of 1 g/ml, 1 ml of volume of water corresponds to 1 g of mass.

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a human expedition lands on an alien moon. one of the explorers is able to jump a maximum distance of 14.5 m with an initial speed of 3.10 m/s. find the gravitational acceleration on the surface of the alien moon. assume the planet has a negligible atmosphere. (enter the magnitude in m/s2.)

Answers

The gravitational acceleration on the surface of the alien moon can be calculated using the equation g = (2Ru2)/(R2 + u2), where R is the maximum jump distance (14.5 m), and u is the initial speed (3.10 m/s). Plugging these values in, we get g = 0.5137 m/s2.

Using this equation, we can calculate the gravitational acceleration on any other alien moon, as long as we know the maximum jump distance and the initial speed. For example, if the maximum jump distance is 18 m and the initial speed is 3.50 m/s, then the gravitational acceleration would be 0.6115 m/s2.

Additionally, if the initial speed is increased, the gravitational acceleration increases as well. This is because the equation takes into account the kinetic energy of the object, which increases as the velocity increases.

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What effect does increasing volume have on equilibrium?

Answers

As the volume rises, the equilibrium shifts to the left, favoring the reactants. As the volume is decreased, the equilibrium will shift toward the component of the reaction in which there are fewer moles.

What causes an unstable equilibrium?

An object is considered to be operating in unstable equilibrium when ever a destructive force is applied if the center of mass is lowered and the object moves from its starting position.

Why is equilibrium such a priority?

Equilibrium is important for understanding chemical processes since it tells us how the reaction will proceed. We can control the reaction's parameters to help the creation of desirable products while it is in equilibrium. It is also used to calculate the final reaction mixture's composition.

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a block with a mass of 0.3 kg is attached to one end of an ideal spring the other end is attached to a wall. when the block is at 0.24m, its acceleration is -12 m/s2 and its velocity is 4 m/s. find:

Answers

1. The spring force constant that attach a block with a mass of 0.3 kg = 15 N/m

2. The amplitude of the motion = 1.85 m

3. The maximum speed of the block during its motion = 6.9 m/s

4. The maximum magnitude acceleration of the block's acceleration during its motion = 92.5 m/s²

The force a spring applies to objects fastened to its ends is proportional to the distance the spring travels from its equilibrium length and is always pointed in the direction of equilibrium. F = -kx. The term "spring constant" refers to the proportional constant k.

The block's weight and the spring's force are equal:

F = -kx

ma = -kx

Hence,

1.

The spring force constant (k) = - (ma) / x

= - (0.3 x (-12) / 0.24

= 15 N/m

The total energy system:

E = [tex]\frac{1}{2}[/tex] (mv² + kx²)

= [tex]\frac{1}{2}[/tex] {(0.3 x 4)² + (15 x 0.24)²}

= 7.2 J

2.

The amplitude of the motion =

E = [tex]\frac{1}{2}[/tex] (mv² + kA²)

A = [tex]\sqrt{E^{2}/k }[/tex]

= [tex]\sqrt{\frac{(7.2)^{2} }{15} }[/tex]

= 1.85 m

3. The maximum speed of the block during its motion

E =  [tex]\frac{1}{2}[/tex] mv² + 0

v = [tex]\sqrt{\frac{2E}{m} }[/tex]

= [tex]\sqrt{\frac{2(7.2)}{0.3} }[/tex]

= 6.9 m/s

4. The maximum magnitude acceleration of the block's acceleration during its motion =

ma = kA

a = kA/m

= (15 x 1.85) / 0.3

= 92.5 m/s²

The question is incomplete, it should be:

A block with a mass of 0.3 kg is attached to one end of an ideal spring the other end is attached to a wall. when the block is at 0.24m, its acceleration is -12 m/s2 and its velocity is 4 m/s. find:

1. What is the spring's force constant k?2. What is the amplitude of the motion?3. What is the maximum speed of the block during its motion?4. What is the maximum magnitude of the block's acceleration during its motion?

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under what situation would the instantaneous velocity of an object differ from the average velocity?

Answers

The instantaneous velocity of an object can differ from its average velocity if the object is accelerating, that is, if its velocity is changing with time.

What is instantaneous velocity?

Instantaneous velocity is the speed of an object at a specific moment in time. It is the limit of the average velocity over an infinitesimal time interval as the interval approaches zero. In other words, it is the rate of change of an object's position with respect to time at a specific moment.

Average velocity is calculated as the total displacement divided by the time interval, but it does not take into account changes in velocity that occur during that time interval. In contrast, instantaneous velocity is the velocity of an object at a particular moment in time, and it can be different from the average velocity if the object's velocity changes over time.

Therefore, The instantaneous velocity of an object can differ from its average velocity if the object is accelerating, that is, if its velocity is changing with time.

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according to stefan's law, if you have stars which are identical, except that one is 4 times hotter than the other, how much more light is emitted by the hotter star?

Answers

The radiation radiated from an area A on a black body at actual temperature T is directly in proportion to the fourth power of a temperature, according to Stefan Boltzmann's law.

What significance do ratio and proportion have?

The ratio and ratio are important building blocks for understanding the numerous ideas in science and mathematics. Several challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a relationship among two or more numbers and aids in comparing them.

What would a proportional statement look like in practice?

For instance, the proportion statement for the ratio 45 is 20/25 = 45. This proportional statement can be solved to yield: The relationship between two quantities, such as a:b, when b is not equal to 0, is thus defined by the ratio. Example: 2:4 = 1:2 is used to show the proportion of 2 to 4. Here, it is claimed that the statement is in proportion.

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after a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? assume that the package, like the plane, has an initial velocity of 482 km/hour in the horizontal direction.

Answers

Therefore the speed at the ground is 185. 3 m/s.

horizontal speed = 485 km/hr

= 485 * (5/18)

= 134.72m/s

h = 875 m

g = 9.8 m/s^2

a) Using formula,

h = (1/2) gt^2

875 = (9.8/2) t^2

t = 13.36 seconds

b)

D = u * t

D = 131.11 * 13.36

D = 1751.64 m

D = 1.75 km

c) when it lands on the ground

Vx = 131.11 m/s

Vy = gt

= 9.8 * 13.36

= 130.9 m/s

Therefore the speed at ground = [ 131.11^2 + 130.9^2]^(1/2)

= 185. 3 m/s

The pace is the directional speed of an item in motion as a demonstration of its price of alternate in the role as observed from a specific body of reference and as measured via a particular widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.

Velocity is a bodily vector amount; each significance and route are needed to define it. The scalar absolute value (significance) of speed is known as velocity, being a coherent derived unit whose quantity is measured inside the SI (metric device) as meters in step with second (m/s or m⋅s−1). as an example, "5 meters in step with 2d" is a scalar, whereas "5 meters consistent with 2nd east" is a vector. If there is a trade-in velocity, route, or each, then the object is stated to be present process an acceleration.

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which type of door that rotates in a circular frame can be dangerous during a fire situation because it may prevent the movement of hose and equipment into the building?

Answers

Revolving doors have three or four leaves (or wings) that are centered on a vertically oriented central pivoting shaft. These are contained in a spherical enclosure having openings on the interior and outside to permit movement when the door rotates within the enclosure.

Revolving doors can be run either manually or mechanically.If something is a "revolving door," it means that people or other items are constantly coming and going rather than remaining in one place: Ten directors came and departed over a twelve-year period, making the department a revolving door for senior executives.

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5. A mixture of fuel and air is enclosed in an engine cylinder fitted with a piston. The gas pressure is maintained at 7.07 × 10^5 Pa as the piston moves slowly inward. If the gas volume decreases by 1.1 × 10^−4 m^3 and the internal energy of the gas increases by 62 J, how much energy is added to or removed from the system as heat?

Answers

The energy that is removed from the system as heat is  139.8 J.

What is the internal energy?

Internal energy is the total energy of a thermodynamic system, including the kinetic energy of its constituent particles and their potential energy due to their relative positions and interactions. It is a measure of the total thermal energy of a system and is a function of temperature, pressure, and volume.

We know that the work done can be obtained by the use of the equation;

w = PΔV

Then

w = 7.07 × 10^5 * 1.1 × 10^−4

w = 77.8 J

Then we have that;

E = q + w

-62 J = q + 77.8

q = 77.8 + 62

= 139.8 J

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wo identical particles of charge 1.6 mc and mass 37 g are fixed in space, separated by 5 m. if one particle is now released, calculate its speed at an infinite distance from the other fixed charge.

Answers

The speed of the released particle at an infinite distance from the other fixed charge is 8.07 * 10^3 m/s.

The speed of a particle at an infinite distance from another fixed charge can be calculated using the concept of electrostatic energy.

The initial electrostatic energy of the two particles is given by:

U = k * q1 * q2 / r

where k is Coulomb's constant (8.98 * 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles (1.6 * 10^-6 C), and r is the distance between them (5 m).

The initial potential energy of the released particle is equal to its initial electrostatic energy:

U = (1/2) * m * v^2

where m is the mass of the particle (37 g) and v is its speed.

Solving for v, we have:

v = √(2 * U / m) = √(2 * k * q1 * q2 / (m * r)) = √(2 * 8.98 * 10^9 * 1.6 * 10^-6 * 1.6 * 10^-6 / (37 * 10^-3 * 5)) = 8.07 * 10^3 m/s

Therefore, the speed of the released particle at an infinite distance from the other fixed charge is 8.07 * 10^3 m/s.

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g you have a gun that shoots a bullet at a speed 144 m/s. you are standing at a distance of 33 m from a building, and your gun is 5.7 m above the ground. you aim your gun at an angle 33 degrees above the horizontal. how high (from the ground) will the bullet hit the wall of the building? ignore air resistance.

Answers

It is not speeding up. It will therefore move 6 meters per second. The speed would have increased by 6 m/s per second if the item had been accelerating and the speed had been in the plane of the speed.

Is anything moving at a steady rate accelerating?

an object is moving at a constant speed, can it accelerate Yup Many individuals initially find this counter-intuitive because they overlook the fact that acceleration can still occur even when an object maintains a constant speed.

If constant acceleration, does that mean 1?

A motion of an object that does not alter over time is referred to as a constant acceleration. A car's average speed increases if it goes from 20 mph to another 20 mph in a minute.

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A 4. 0 m long steel beam with a cross-sectional area of 1. 0 x102m2 and a Young's modulus
of 2. 0 x10' N/m 2 is wedged horizontally between two vertical walls. In order to wedge the
beam, it is compressed by 0. 020 mm. If the coffecient of static friction between the beam
and the walls is 0. 70, the maximum mass (including its own) it can bear without slipping
is:​

Answers

The required maximum mass that the beam can bear without slipping is 14.163 kg.

The maximum mass that a 4.0 m long steel beam with a cross-sectional area of 1.0 × 10²m² and a Young's modulus of 2.0 × 10' N/m² can bear without slipping when wedged horizontally between two vertical walls and compressed by 0.020 mm, assuming a coefficient of static friction of 0.70, is calculated as follows,

Force of friction = coefficient of static friction × normal force = Area of beam × Young's modulus × compression

Therefore, the force of friction = 0.70 × (1.0 × 10² m²) × (2.0 x10' N/m²) × 0.020 mm

Maximum mass = (force of friction) / (acceleration due to gravity)

Therefore, the maximum mass that the beam can bear without slipping is (0.70 × (1.0 × 10² m²) × (2.0 × 10' N/m²) × 0.020 mm) / (9.81 m/s²) = 14.163 kg.

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Which of the following is true for an open system?



I Matter is able to freely enter or exit the system.
II Heat is able to freely enter or exit the system.
III Work is able to freely enter or exit the system.


Group of answer choices

I, II, or III

II only

I only

None of the above

Answers

In  an open system, Matter, heat and work are able to freely enter or exit the system. Hence, option (A) is correct.

What is open system?

A system that interacts with the outside world is an open system. Depending on the field that defines the term, these interactions can involve the transfer of information, energy, or materials into or out of the system border.

An isolated system, which does not exchange energy, matter, or information with its surroundings, is contrasted with an open system. A flow system is another name for an open system. Hence, option (A) is correct.

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A 12.5 kg ball moving to the right at 4 m/s strikes a 10 kg ball at moving at 2m/s to the left. After the collision the 12.5 kg ball is moving with a velocity of 1.6 m/s to the left and the 10kg ball moving at 5 m/s to the right . Is momentum conserved? Show your calculations on a half sheet of paper, then explain your thinking here.

Answers

Momentum is conserved in this collision.

How The answer was obtained

Momentum is conserved in this collision. To show this, we can calculate the initial momentum of the system and compare it to the final momentum.

Initial momentum:

12.5 kg * 4 m/s + 10 kg * -2 m/s = 50 kg m/s

Final momentum:

12.5 kg * -1.6 m/s + 10 kg * 5 m/s = 50 kg m/s

As we can see, the initial momentum is equal to the final momentum, so momentum is conserved in this collision.

This is because momentum is a conserved quantity, which means that it can be neither created nor destroyed, only transferred from one body to another. In this case, the momentum of the 12.5 kg ball was transferred to the 10 kg ball, and the final result was that the momentum of the system remained unchanged.

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I need help in this

Answers

Answer:

D

Explanation:

I believe it is D, which is the resultant of the vector addition of B and E

A swimmer swimming 2.30 m/s jumps out horizontally from the starting blocks and reaches the water below 1.50s later. How far from the base of the starting block does the swimmer land in the water?

Answers

Answer:

Explanation:

We know that distance can be calculated using the formula:

d = v0 * t + 0.5 * g * t^2

where v0= intial velocity

t=fall time

g= free fall acceleration

Now as per the question:

initial velocity v0 = 2.30 m/s

time t = 1.50 s

Free fall acceleration g = 9.8 m/s^2

d= v0 * t + 0.5 * g * t^2

distance = 2.30 * 1.50 + 0.5 * 9.8 * 1.50^2

distance = 3.45 + 14.7

d = 18.15 m

Therefore, the swimmer lands 18.15 meters from the base of the starting block.

you are testing a jet back pack on a dummy. you start it rising with an upward acceleration of 3 m/sec/sec. after 9 seconds the jetpack fails (upward acceleration stops, gravity takes over). how fast is the dummy moving when it hits the ground?

Answers

The dummy was moving at a velocity of approximately 93 m/s (or 335 km/h) just before hitting the ground.

Find the velocity of the dummy when the jetpack fails,

v = u + at

where v is final velocity, u is initial velocity (which is 0 m/s in this case), a is acceleration (which is 3 m/s^2 in the upward direction), and t is time (which is 9 seconds).

v = 0 + (3 m/s^2)(9 s) = 27 m/s

Distance traveled,

s = (1/2)at^2

s = (1/2)(-9.8 m/s^2)(9 s)^2

s = -441 m (taking upward direction as positive)

Here, we have taken the upward direction as positive and the negative value of s indicates that the dummy fell a total distance of 441 meters after the jetpack failed.

v^2 = 0 + 2(-9.8 m/s^2)(-441 m)

v^2 = 8623.6 m^2/s^2

v = 93 m/s (approx)

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Help please!!!! Why is it especially important to not waste energy from fossil fuels?

Answers

They have a limited supply in nature, therefore if they are used excessively, they will become exhausted.

What is the fossile fuel?

Today, we recognise that using fossil fuels has a negative impact on the environment. Fossil fuels produce and utilise local pollutants, and their continued use permanently alters the temperature of our entire world.

Wastes from combustion sources are those that result from carbon pollution (i.e., coal, oil, natural gas). Included in this are all ash and particles taken out of the flue gas.

The fossile fuel is limited in nature. So, it should not waste energy from fossil fuels.

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what is the momentum of a 20kg dog running at 12 meters per second

Answers

Answer:

Explanation:

Momentum (p) = mass(m) x velocity(v)

v = 12m/sec , m= 20kg

p=20*12 = 240 kg m s−1 or 240 Ns

A ball is thrown from a window 2.1m above the ground with a initial velocity of 18m/s (37 degrees above horizon). How far was the ball thrown? What is the maximum height of the ball?

Answers

The ball was thrown a total distance of 52.7 meters. The maximum height of the ball is 8.8 meters.

What is the distance ?

The distance refers to the amount of space between two points. It is typically measured in units of length such as meters, kilometers, or miles. Distance can also be measured in terms of time, as in the distance between two points in terms of the amount of time it takes to travel between them. Distance is an important concept in mathematics and can be used to calculate the length of a line, the area of a shape, or the volume of an object.

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correct application of fermats theorem to fluid dynamics

Answers

Fermat's Theorem states that the path taken by a wave traveling from one point to another in a medium is the path that takes the least time, which is applicable in fluid dynamics to explain why fluids tend to follow the path of least resistance.

Fermat's theorem, also known as the "principle of least time," states that the path taken by a wave traveling from one point to another in a medium is the path that takes the least time.

In fluid dynamics, this principle is used to explain why fluids tend to follow the path of least resistance, as they seek to minimize the time it takes to move from one point to another. This results in the fluid flowing along the path of least energy, which is also known as the path of least resistance. The principle of least time is used to predict the behavior of fluids under different conditions, and it is an important concept in the field of fluid dynamics.

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a block of unknown material has a mass of 887.6 g. it measures 7.31 cm x 4.24 cm x 2.15 cm. what is the density of the block? give answer in units of g/cm3 and remember correct significant figures.

Answers

The density of the block can be calculated using the equation density = mass / volume.

In this case, the mass is 887.6 g and the volume is 7.31 cm x 4.24 cm x 2.15 cm, which results in a density of 89.9 g/cm3.

The density of a material can be used to identify what it is made of, and can also be used to estimate its strength and other properties. It is an important factor to consider when designing and constructing objects, as the density of a material affects how much it weighs, how much it can support, and how much it will cost. The density of a material varies depending on factors such as temperature, pressure, and composition.

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