How does the angle of launch affect the kinetic energy of a rubber band?​

Answer:

The speed of the bullet just before the impact is 701 m/s

Explanation:

Given;

mass of the bullet, m₁ = 20 g = 0.02 kg

mass of the block, m₂ = 2.8 kg

displacement of the block, d = 9 mm = 9 x 10⁻³ m

duration of motion of the bullet, t = 5 ms = 5 x 10⁻³ s

Apply the principle of conservation of energy;

The final kinetic energy of the bullet = maximum potential energy of the block

\(\frac{1}{2} m_1v^2 = m_2gh\\\\v^2 = \frac{2m_2gh}{m_1} \\\\v= \sqrt{\frac{2m_2gh}{m_1} } \\\\v = \sqrt{\frac{2 \times 2.8 \times 9.8 \times (9\times 10^{-3})}{0.02} } \\\\v = 4.97 \ m/s\)

Apply the principle of conservation of linear momentum, to determine the initial velocity of the bullet before the impact.

m₁u₁  +  m₂u₂  =  v(m₁  +  m₂)

where;

u₁ is the initial velocity of the bullet

u₂ is the initial velocity of the block = 0

m₁u₁  +  0  = v(m₁  +  m₂)

m₁u₁  =  v(m₁  +  m₂)

0.02u₁ = 4.97(2.8 + 0.02)

0.02u₁ = 14.02

u₁ = 14.02 / 0.02

u₁ = 701 m/s

Therefore, the speed of the bullet just before the impact is 701 m/s

Answer:

Energy Flow

The chemical energy of food is the main source of energy required by all living organisms. This energy is transmitted to different trophic levels along the food chain. This energy flow is based on two different laws of thermodynamics:

First law of thermodynamics, that states that energy can neither be created nor destroyed, it can only change from one form to another.

Second law of thermodynamics, that states that as energy is transferred more and more of it is wasted.

Energy Flow in Ecosystem

The energy flow in the ecosystem is one of the major factors that support the survival of such a great number of organisms. For almost all organisms on earth, the primary source of energy is solar energy. It is amusing to find that we receive less than 50 per cent of the sun’s effective radiation on earth. When we say effective radiation, we mean the radiation, which can be used by plants to carry out photosynthesis.

Explanation:

Energy Flow in Ecosystem

The energy flow in the ecosystem is one of the major factors that support the survival of such a great number of organisms. For almost all organisms on earth, the primary source of energy is solar energy. It is amusing to find that we receive less than 50 per cent of the sun’s effective radiation on earth. When we say effective radiation, we mean the radiation, which can be used by plants to carry out photosynthesis.  

Most of the sun’s radiation that falls on the earth is usually reflected back into space by the earth’s atmosphere. This effective radiation is termed as the Photosynthetically Active Radiation (PAR).

Overall, we receive about 40 to 50 percent of the energy having Photosynthetically Active Radiation and only around 2-10 percent of it is used by plants for the process of photosynthesis. Thus, this percent of PAR supports the entire world as plants are the producers in the ecosystem and all the other organisms are either directly or indirectly dependent on them for their survival.

The energy flow takes place via the food chain and food web. During the process of energy flow in the ecosystem, plants being the producers absorb sunlight with the help of the chloroplasts and a part of it is transformed into chemical energy in the process of photosynthesis.

This energy is stored in various organic products in the plants and passed on to the primary consumers in the food chain when the herbivores consume (primary consumers) the plants as food. Then conversion of chemical energy stored in plant products into kinetic energy occurs, degradation of energy will occur through its conversion into heat.

Then followed by the secondary consumers. When these herbivores are ingested by carnivores of the first order (secondary consumers) further degradation will occur. Finally, when tertiary consumers consume the carnivores, energy will again be degraded. Thus, the energy flow is unidirectional in nature.

Moreover, in a food chain, the energy flow follows the 10 percent law. According to this law, only 10 percent of energy is transferred from one trophic level to the other; rest is lost into the atmosphere. This is clearly explained in the following figure and is represented as an energy pyramid.

Explanation:

Friction acts between two surfaces in contact only and opposes the movement of one body with respect to another. Therefore friction is a force which opposes the relative motion between two bodies. If a body is moving it is slowed down by frictional force applied on it by the surface on which it is moving.

The ball's gravitational potential energy may be calculated in proportion to the velocity obtained by the ball as it rolls down the ramp.

The following is a model of the ball's GPE;

The height of the ball is related to the square of the velocity attained when rolling down the ramp.h ∝ v²

The gravitational potential energy, GPE, is given as follows;

GPE = m·g·Δh

Where;

m = The mass of the ball

g = The acceleration due to gravity

Δh = The change in elevation of the ball

The gravitational energy of the ball at the ramp's beginning (lowest) point, when h = 0, is 0

When a modest amount of energy is provided to the ball by moving it slowly, it advances up the ramp for a short distance before stopping.

When more energy is provided to the ball, it moves to a higher position on the ramp.

When energy is given to the ball, it is transformed into gravitational potential energy, and the height of the ball reflects the quantity of gravitational potential energy in the ball.

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Answer:

\(\huge\boxed{\sf Power = 36 \ W}\)

Explanation:

In case of vertical force being exerted, we will use the formula of potential energy in place of work.

So,

P.E = F × h

Where F is force and h is height.

Work = 72 N × 1 m

Also,

Time = 2 s

So,

\(\displaystyle Power = \frac{Work}{Time} \\\\Power = \frac{72}{2} \\\\Power = 36 \ W\\\\\rule[225]{225}{2}\)

Answer:

i think c

Explanation:

  cause

Answer:

Two tuning forks with frequencies of 256 Hz and 512 Hz are struck. Which of the sounds will move faster through the air? Neither, the speed of sound is constant in air.

Answer:

A TURNING CAR WITH CONSTANT SPEED......NON-EX OF INERTIA

Explanation:

Which air pocket would you expect to cool down more at night? 

Answer: The ocean air.

Why?

Because ocean water seems to cool faster at night which may cause the ocean air to cool down more at night.

Ocean water seems to cool faster at night which may cause the ocean air to cool down more at night.

"Air pocket" is merely another term for ordinary turbulence. You might feel as if you're falling from the sky, but rest assured, if you flying commercially, you rarely gain or lose more than about twenty feet, especially if the plane is on autopilot.

The term "air pocket" comes from early aviation, a time when pilots flying open-cockpit biplanes took adventurous locals on a rides in their “flying machines.”

When the plane entered air that, instead of simply sitting there, was flowing slightly upward or slightly downward, the plane's path was altered slightly upward or slightly downward.  

Therefore, Ocean water seems to cool faster at night which may cause the ocean air to cool down more at night.

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Answer:

10 Pa

Explanation:

Pressure is defined as force per unit area.

Mathematically, P= F/A where  P is pressure, F is force and A is area.

Force, F = 60 N

Area, A = 2*3 = 6m²

P = 60/6 = 10 Pa

T=3.12 Sec

Distance d= 9.703m

The distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). It is sometimes used to indicate the distance between two points: display style |AB||AB|. The terms "distance from A to B" and "distance from B to A" are frequently used interchangeably.

It is a generalization of the idea of physical distance. Distance is a non-numerical measurement in psychology and the social sciences; psychological distance refers to how an object feels.

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The work required to be done by an external agent in stretching this spring by 5 cm  will be 2.45J.

\(\begin{aligned}& \mathrm{K}=\frac{\mathrm{F}}{\mathrm{x}}=\frac{40}{2 \times 10^{-2}}=19.6 \times 10^2 \mathrm{~N} / \mathrm{m} \\& \text { Work done }=\frac{1}{2} \mathrm{Kx} x^2=\frac{1}{2} \times\left(19.6 * 10^2\right) \times(0.05)^2=2.45 \mathrm{~J}\end{aligned}\)

The energy that is transmitted to or from an object when a force is applied along a displacement is referred to as work in physics.

The work is simply equal to the product of the magnitude of the force and the distance travelled for a constant force acting in the same direction as the motion. An external force must exert at least a fraction of its force in the direction of the displacement when it moves an object over a distance. Physics refers to this as work.

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Answer:

40  speed and km/h

Explanation:

Velocity:40 km/h 2

answer:

20 minutes for 5 m/s 10 minutes for 10 m/s

In this scenario, the cat sliding down the rubber rod and falling into metal pail "a" caused the transfer of charge to pail "a". This transfer of charge caused pail "a" to become charged and the metal pails "b" and "c" that were in contact with it, were also charged by induction.

When the shelf broke, the metal pails fell separated to the non-conducting floor, resulting in the charge being separated and no longer being able to move from one metal pail to another.

After the cat ran away, the charged metal pails likely remained charged, as there was no conductor available for the charge to flow through and neutralize.

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Answer:

As the skydiver gains speed, their weight stays the same but the air resistance increases. There is still a resultant force acting downwards, but this gradually decreases. Eventually, the skydiver's weight is balanced by the air resistance. There is no resultant force and the skydiver reaches terminal velocity.

Answer:

Answer :2,073.8784 m

Explanation:

d= sxt

Answer: well we all orbit the sun all the planets do so the

SuN

Explanation: two words common sense

Abdel may want to consider exchanging the 1000 W power supply for a more appropriate size, such as a 600 W or 700 W power supply, depending on the specific components and power requirements of the system. This can help optimize the power usage and save energy and money in the long run.

What is Power?

It is a physical quantity that measures the amount of energy that is used per unit time. Power is typically measured in watts (W), which is equivalent to joules per second (J/s).

If Abdel orders a custom computer with a 1000 W power supply, but the maximum wattage the system needs is only 500 W, then the power supply is oversized for the system. An oversized power supply may not necessarily cause any harm to the system, but it can result in a waste of energy and money.

In general, it is recommended to choose a power supply that has a wattage rating that is slightly higher than the maximum wattage the system needs. This provides some headroom for the system to handle any power spikes or future upgrades. However, an oversized power supply that is too much higher than the system's requirements can lead to inefficiencies and higher energy bills.

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Answer:

c

Explanation:

Chauffeur: car: pilot: cockpit, flower: stem: tree: trunk, bottom: top: basement: attic, mend: repair:: break: fix December: winter; September: fall; fade: maid: graceful: awkward; late: early; true: false; milk: liquid; broccoli: vegetable; canine: puppy; child: adult

You need to choose a word that appropriately completes the second pair in order to resolve the analogy. The words in an analogy may appear to be unrelated to one another at first look, but they are always logically connected. The link between the first and second word pairs is comparable.

In the testing analogies, only the first set of words is provided. Therefore, you must first determine how these two words are related. To complete the analogy, you must select a word or words that have an analogous relationship to the pair.

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Answer: B

Explanation: B is the correct statement describing the positions of the Moon, the Sun, and the Earth during a new moon. The Moon is between Earth and the Sun.

During a new moon, the Moon is positioned between the Sun and the Earth, with the illuminated side of the Moon facing away from the Earth. This means that the side of the Moon that faces the Earth is not receiving any sunlight, making it invisible to us from Earth. The new moon is the first phase of the lunar cycle and occurs roughly every 29.5 days.

Answer:

\(P_{sp}=178.4W/kg\)

Explanation:

From the question we are told that:

Mass of fish \(m_f=650kg\)

Cross-sectional area \(A=0.92 m^2\)

Drag coefficient of \(\mu= 0.0091\)

Seawater  density \(\rho= 1026 kg/m^3.\)

Speed of  Fish \(v=30 m/s\)  

Generally the equation for Drag force F_d is mathematically given by

\(F_d = \mu * \rho *A v^2 /2\)

\(F_d = 0.0091* 0.92* 1026* 30^2/2 \\F_d= 3865. 35 N\)  

Generally the equation for high speed  Power  \(P_{sp}\) is mathematically given by

\(P_{sp}=3865*35*\frac{v}{m_f}\)

\(P_{sp}=F_d*35*\frac{30}{650}\)

\(P_{sp}=178.4W/kg\)

To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

Answer:

\(A. \ a = (\frac{m}{m}\times \frac{a_1}{1}) + (\frac{1}{1}\times \frac{F}{m})\)

Explanation:

Given the expression for calculating the acceleration as shown;

\(a = a_1 + \frac{F}{m}\) where;

\(a_1 = 3.00m/s^2\\\\F = 12.0kg.m/s^2\\\\m = 7.00kg\\\)

To get the correct step for obtaining a common denominator for the two fractions in the expression in solving for a, we will find the LCM of  the given expression as shown;

\(a = a_1 + \frac{F}{m}\\\\a = \frac{a_1}{1}+\frac{F}{m}\\ \\a = \frac{(m*a_1)+F}{m} \\\\a = \frac{ma_1+F}{m}\\ \\a = (\frac{m}{m}\times \frac{a_1}{1}) + (\frac{1}{1}\times \frac{F}{m})\)

The final expression gives the requires step. On substituting the given parameters into the resulting expression to get a;

\(a = (\frac{7}{7}\times \frac{3}{1}) + (\frac{1}{1}\times \frac{12}{7})\\\\a = \frac{21}{7} + \frac{12}{7}\\ \\a = \frac{21+12}{7}\\ \\a = \frac{33}{7} m/s^2\)

Answer:

17.94 kN/C is the electric field intensity at the origin due to the charges.

Explanation:

From the question, we are told that

The distance of 1 μC from origin = 1 m

The distance of 2 μC from origin = 2 m

The distance of 3 μC from origin = 3 m

The distance of 4 μC from origin = 5 m

Therefore, for us to find the electric field intensity, we'll solve below:

The formula for Electric field intensity = ( k * q ) / ( r * r )

where , r is distance ,

k = 9 * 10^9 ,

and , q is charge .

now ,

electric field intensity at the origin = [ k * 10^(-6) / 1 * 1 ] +[ k * 2 * 10^(-6) / 2 * 2 ] + [ k * 3 * 10^(-6) / 3 * 3 ] + [ k * 4 * 10^(-6) / 5 * 5 ]

=> electric field intensity at the origin = k * 10^(-6) [ 1 + 1/2 + 1/3 + 4/25 ] N/C

=> electric field intensity at the origin = 9 * 10^9 * 10^(-6) * 1.99 N/C

=> electric field intensity at the origin = 17.94 kN/C

The value of R₂, given that the total resistance in a circuit with two parallel resistor is 2 ohms, is 3 ohms

The formula to obtain the total resistance in a parallel connection for two resistors is given as folllow:

Rₜ = (R₁ × R₂) / (R₁ + R₂)

With the above formula, we can obtain the value of R₂. Details below:

Rₜ = (R₁ × R₂) / (R₁ + R₂)

2 = (6 × R₂) / (6 + R₂)

2 = 6R₂ / (6 + R₂)

Cross multiply

2 × (6 + R₂) = 6R₂

Clear bracket

12 + 2R₂ = 6R₂

Collect like terms

12 = 6R₂ - 2R₂

12 = 4R₂

Divide both sides by 4

R₂ = 12 / 4

R₂ = 3 ohms

Thus, we can conclude that the value of R₂ is 3 ohms

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