At which point does the bungee jumper’s kinetic energy begin to change into potential energy?

42 times must he repeat this exercise to burn off the energy in one slice of pizza.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Energy burn by the weightlifter = potential energy

Potential energy = mgh

Potential energy = 25.(9.8)(0.50)

Potential energy = 122.5 Joule.

Assume 25% of efficiency so energy burn = 122.5*25/100

energy burn = 30.625 joule

Number of times = 1260/30.625

Number of times = 42 times.

42 times must he repeat this exercise to burn off the energy in one slice of pizza.

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With the use of formulas, the maximum height reached by the cannonball is 635.4 meters

The motion of an object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.

If I shoot a cannonball (m = 4.5 kg) straight up from a cannon that exerts a force of 7000 N through a barrel length of 4.00 meters, the acceleration of the cannonball in the barrel can be calculated by using the formula

F = ma

Where

Substitute all the parameters into the formula

7000 = 4.5a

a = 7000/4.5

a = 1555.6 m/s²

By using the below formula, we will find the velocity at which the ball leaves the barrel.

Where

v² = u² + 2as

v² = 0 + 2 × 1555.6 × 4

v² = 12444.4

v = √12444.4

v = 111.6 m/s

The same speed will be the initial velocity at the entrance of the barrel. How high will the cannonball go can be known by using the formula

v² = u² - 2gH

Where

Substitute all the parameters into the formula

0 = 111.6² - 2 × 9.8 × H

19.6H = 12454.56

H = 12454.56/19.6

H = 635.4 m

Therefore, the cannonball will go as high as 635.4 m

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The amount of current flowing in the wire, given that it has a resistance of 25 Ω and connected to a 3.0 V is 0.12 A

From Ohm's law, we understood that the voltage, current and resistance are related according to the following formula:

Voltage (V) = Current (I) × resistance (R)

V = IR

With the above formula, we can obtain the current in wire. Details below.

The following data were obtained from the question:

Thus, the current can be obtained as follow:

Voltage (V) = Current (I) × resistance (R)

3 = Current × 25

Divide both sides by 25

Current = 3 / 25

Current = 0.12 A

Thus, we can conclude that the current in the wire is 0.12 A

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Answer:

Explanation:

p₁ = m₁·V₁ = 6300·0.11 = 693 kg·m/s

p₂ = m₂·V₂ = 50·10.4 = 520 kg·m/s

693 kg·m/s > 520 kg·m/s

The horizontal distance travelled by the car in the given time period of 13 seconds is determined as 168.3 m.

The horizontal distance travelled by the car is calculated as follows;

s = ut + ¹/₂acosθ(t²)

where;

s = 0  +  ¹/₂(2) x cos(5.2) x (13)²

s = 168.3 m

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If an evaporator has a vapour pressure drop of 10 psig and the low side pressure is 15 psig,  pressure at the inlet of the evaporator will be 25 psig

change pressure=  low side pressure-pressure drop

change pressure=15-(-10)

change pressure=25 psig

The vapor pressure of a liquid, sometimes referred to as the equilibrium pressure of a vapor above its liquid, is the pressure of the vapor produced by the evaporation of a fluid (or solid) over a sample of the liquid (or solid) in such a closed container (or solid).

Vapor pressure is the term for the force that is produced as liquids evaporate. Three factors commonly have an effect on a vapor press: surface area, intermolecular forces, and temperature. The vapor pressures of molecules change with temperature.

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Answer:

W1 = d1 V

W2 = d2 V         weight of balls in air (both have same volume0

w2 = (d2 - p) V     apparent weight of ball 2      (p * V = buoyant force

w2 / w1 = (d2 - p) / (d1 - p)    the liquid exerts the same buoyant force on each ball

Let p be in units of kg / m^3 * g       say 1 N / m^3

Suppose d1 = 2 and d2 = 3     N/m^3 and p = .5 N/m^3

The ratio of apparent weights would be

w2 / w1 = (3 - .5) / (2 - .5) = 1.67 to 1

The total current that is drawn from the mains supply is 5 A.

The term current has to do with the flow of charges in a circuit. Now we have been told that A set of lights consists of 20 lamps connected in series to the 230 V mains electricity supply. It was also said in the question that when the lights are switched on and working correctly, the current through each lamp is 0.25 A.

Now we have the following information;

Current passing through each lamp = 0.25 A

Number of lamps = 20 lamps

Hence;

Total current = 0.25 A * 20

= 5 A

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The work that is done by a forklift raising a 583 kg box a distance of 1.2m is 699.6N.

Work refers to the measure of energy expended in moving an object. It is most commonly calculated by multiplying the force by the distance.

This means that no work is done if the object does not move. This means that the work done can be calculated as follows:

Work done = Force × distance

According to this question, a forklift raises a 583kg box over a distance of 1.2m. The work done can be calculated as follows:

Work done = 583kg × 1.2m

Work done = 699.6N

Therefore, 699.6N is the force required to lift the box.

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Answer:

35.2 AU

Explanation:

Kepler's Third Law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

[tex]\boxed{T^2 \propto a^3 \implies T^2=ka^3}[/tex]

Kepler's Third Law

[tex]T^2=\dfrac{4 \pi^2}{GM}a^3[/tex]

where a is the semi-major axis of the ellipse.

If expressed in the following units:

then:

[tex]\implies\dfrac{4 \pi^2}{GM}=1[/tex]

Therefore Kepler's Third Law can be expressed as:

[tex]\boxed{T^2=a^3}[/tex]

Given:

From inspection of the given diagram:

[tex]\implies 2a=x+0.57[/tex]

[tex]\implies a=\dfrac{x+0.57}{2}[/tex]

Substitute these values into the equation and solve for x:

[tex]\implies (75.6)^2=\left(\dfrac{x+0.57}{2}\right)^3[/tex]

[tex]\implies (75.6)^\frac{2}{3}=\dfrac{x+0.57}{2}[/tex]

[tex]\implies 2(75.6)^\frac{2}{3}=x+0.57[/tex]

[tex]\implies x=2(75.6)^\frac{2}{3}-0.57[/tex]

[tex]\implies x=35.1883819...[/tex]

[tex]\implies x=35.2\; \text{AU}[/tex]

The coefficient of static friction needed for a drag racer to cover the given distance is 1.27.

The magnitude of the acceleration of the slipping tires is calculated by applying the kinematic equation for average distance travelled by the slipping tires as shown below.

s = ut + ¹/₂at²

where;

s = 0 + ¹/₂at²

s = ¹/₂at²

at² = 2s

a = 2s/t²

a = (2 x 1,400 m) / (15 s)²

a = 12.44 m/s²

The coefficient of static friction needed for a drag racer to cover the given distance is calculated as;

μ = a/g

where;

μ = 12.44 / 9.81

μ =  1.27

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Answer:

mean extremely affect by the two level of values

highest and lowest points

a. ) The period is  1/frequency = 5sec / 9 cycles = 0.555 seconds

b.) the seconds out of phase with the displacements shown would graphs of the velocity and acceleration be 5/18 (0.2777...) sec delayed with respect to displacement

c.) Gravity = (324 π²) (0.2) / 25  =  25.582 m/sec²

What is gravity?

Gravity is defined as a fundamental interaction which causes mutual attraction between all things with mass or energy.

Solving for  the acceleration due to gravity on the surface of the planet, we have the following:

For small swing angles, the period of an ideal pendulum anywhere is

                T = 2pi √(length / local gravity)  .

The astronaut has already done the pendulum and transmitted the data to us, so

we can use his data and this formula to calculate the local gravity where he is located

          P = 2pi √(length / local gravity)

           5/9 sec = 2π √(0.2m / gravity)

        √(0.2m / gravity) =  5/9sec / 2π

Take the reciprocal of each side:    √(gravity) / √(0.2) =  18π / 5

Multiply each side by  √(0.2):    √(gravity) = 18π √(0.2) / 5

Square both sides:      Gravity = (324 π²) (0.2) / 25  =  25.582 m/sec²

The value gotten is about  2.608 times  the Earth's gravity.  

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Answer:

it has water

Explanation:

water is good

The radial acceleration of the blade tip is  1370 g rad/s².

Radial acceleration is defined as "the acceleration of the object is along the radius, directed towards the center" in uniform circular motion.

Given parameters:

Rotational speed of the helicopter rotor: ω = 600 rev/min

= 600 × 2π/60 rad/min.

= 20π rad/min.

Length of the blade: r = 3.4 m.

Then,   the radial acceleration = ω²r = (20π)²× 3.4 rad/s².

= {(20π)²× 3.4}/9.8 g rad/s².

= 1370 g rad/s².

Hence,  the radial acceleration of the blade tip is  1370 g rad/s².

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Answer: 2 Forces

Explanation:

1. Normal force- object is on a surface

2. Weight

Echo

Explanation:

It is termed as Echo. Echo is a reflection of sound that arrives at the listener with a delay after the direct sound.

Answer:

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Explanation:

Answer:

The acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

(also, you have a typo. it's Newton, not Newtown)

Answer:sin40∘=0.643) Hint: The relationship of angle of incidence and angle of refraction at interface of two media is given by Snell's law.

Explanation:

Science employs technology to create new discoveries, while technology uses science to address problems. Science and technology, however, pursue distinct objectives. Science seeks to provide answers and advance knowledge. The purpose of technology is to resolve real-world issues. Despite having differing objectives, science and technology coexist and support one another. For the development of new technologies like the space telescope, scientific knowledge is used.

There are numerous such instances that demonstrate how science and technology may collaborate.

The microscope is one instance. Galileo might have created it at the same time as the telescope. The development of the microscope was based on scientific understanding of light and lenses, just like the development of the telescope.

How do you believe the development of the microscope aided in the advancement of science?

The microscope enabled researchers to see a universe of microscopic things they had never seen before. Numerous significant scientific advancements resulted from it, including the identification of cells—the fundamental constituents of all living things.

Therefore, science and technology help each other evolve and develop.

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The mass of the lighter star is 2.15 x 10³⁰ kg.

The mass of the lighter star is obtained by applying the formula force gravitational potential energy between the two stars.

According to Newton's law of universal gravitation, every two objects in the universe attracts each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

U = F x r

U = Gm₁m₂/r²   x   r

U = Gm₁m₂/r

where;

r = 3 x 10⁸ m/s  x 3.154 x 10⁷ s/yr

r = 9.46 x 10¹⁵ m

let the lighter star = m₁

then, the heavier star = 2m₁

U = (G x m₁ x 2m₁)/r

U = 2Gm₁²/r

Ur = 2Gm₁²

m₁² = Ur/2G

m₁ = √(Ur/2G)

m₁ = √(6.5 x 10³⁴ x 9.46 x 10¹⁵ / 2 x 6.626 x 10⁻¹¹)

m₁ =  2.15 x 10³⁰ kg

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(a.i) The magnitude of the centripetal acceleration at its edge is 28,197.04 m/s².

(a. ii) In terms of multiple of g, the centripetal acceleration is 2,874.3 g.

(b) The linear speed is determined as 48.96 m/s.

The magnitude of the centripetal acceleration of the workshop grindstone is calculated by applying the following kinematic equation.

a = v²/r = ω²r

where;

The given parameters include;

ω = 5500 rev/min

ω = 5500 rev/min   x   2π rad/rev x  1 min / 60 s

ω = 575.96 rad/s

a = (575.96²) x (0.085)

a = 28,197.04 m/s²

In terms of acceleration due to gravity (g);

a = 28,197.04 m/s² / 9.81 = 2,874.3 g

The linear speed of the grindstone is calculated as follows;

v = ωr

v = 575.96 rad/s  x  0.085 m

v = 48.96 m/s

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The average acceleration of the hybrid automobile is 0.42 m/s².

The distance travelled by the hybrid automobile during the period of acceleration is 34.5 m.

The average acceleration of the hybrid automobile is the rate of change of velocity of the hybrid automobile with time.

Mathematically, the formula for average acceleration is given as;

a = Δv/Δt

where;

a = (v - u)/t

where;

a = (5.56 - 1.389)/10

a = 0.42 m/s²

The distance travelled by the automobile during the period of acceleration is calculated as follows;

v² = u² + 2as

2as = v² - u²

s = (v² - u²)/(2a)

s = (5.56² - 1.389²) / (2 x 0.42)

s = 34.5 m

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The option that  would increase the mechanical advantage of a lever is option A. Moving the fulcrum closer to the output force.

Mechanical advantage quantifies a lever's effectiveness (how easy it is to lift the load). - When compared to the distance between the load (resistance) and the fulcrum, the advantage relies on the distance between the effort and the latter (effort arm) (resistance arm).

Note that in Levers of Class 1:

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Answer:hope this helpsss

Explanation:

A permanent magnet that is always aligned with the magnetic field of the earth makes up the magnetic needle of a magnetic compass, which is used for navigation.

The magnetic field is produced by an electric current in an electromagnet. Because they are transient magnets, electromagnets lose their magnetic properties as soon as the current is interrupted.

Answer:

Kate did not do any work on the wall , because the wall did not move

The age of the rock is 9 * 10^9 years and there is no rock that can be as old as this age on earth.

The term radioactive decay has to do with the process by which a radioactive nuclide disintegrates so as to obtain the daughter nucleus. The radioactive decay may occur by alpha or by beta radiation.

In this case, we are told that only 25% of the original uranium 238 isotope of half life 4.5 * 10^9 years still remains.

Using the formula;

0.693/[tex]t_{\frac{1}{2}[/tex] = 2.303/t log (No/N)

[tex]t_{\frac{1}{2}[/tex] = half life of the isotope

N= amount of isotope at time t

No = amount of isotope initially present

Then;

0.693/4.5 * 10^9 = 2.303/t log(No/0.25No)

1.54 * 10^-10 =  1.39/t

t = 1.39/1.54 * 10^-10

t = 9 * 10^9 years

There is no rock that is this much old since the average age of the earth is 4.5 billion years.

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Answer:

hydrogen

Explanation:

The Sun is a huge, glowing sphere of hot gas. Most of this gas is hydrogen (about 70%) and helium (about 28%). Carbon, nitrogen and oxygen make up 1.5% and the other 0.5% is made up of small amounts of many other elements such as neon, iron, silicon, magnesium and sulfur.

The sun is 70% made of Hydrogen.

What is hydrogen?

The element hydrogen has the sign H and the atomic number 1. The lightest element is hydrogen. Under normal conditions, hydrogen is a gas composed of diatomic molecules with the formula H2. It has no colour, no odour, no taste, is non-toxic, and is extremely flammable. Hydrogen is the most prevalent chemical element in the universe, accounting for approximately 75% of all normal matter. The Sun and other stars are mostly made up of hydrogen in the plasma state. The majority of hydrogen on Earth resides in molecule forms like water and organic substances. Each atom of hydrogen's most common isotope (symbol 1H) has one proton, one electron, and no neutrons.

The sun is around 70% made of Hydrogen and 28% Helium

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Answer: D: 136 N

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