A swimming pool, 10.0 m by 4.0 m, is filled with water to a depth of 3.0 m at a temperature of 20.2°c. if the energy needed to raise the temperature of the water to 29.7°c is obtained from the combustion of methane (ch4), what volume of methane, measured at stp, must be burned? ∆hcombustion for ch4 = -891 kj/mol

The hammer takes approximately 3.36 seconds to hit the ground from a height of 42m. With an initial upward velocity of 6m/s and the acceleration due to the Earth's gravity, the hammer hits the ground at a speed of approximately 39.1m/s.

The subject of this question is Physics, specifically dealing with the laws of motion and gravity. When the construction worker drops the hammer from an ascending elevator, the initial velocity of the hammer is the same as the speed of the elevator, which is 6m/s. However, as the hammer falls, it accelerates under gravity (taking 9.8m/s² as the acceleration due to gravity).

A. To find out how long it takes for the hammer to hit the ground, we need to solve for time (t) using the equation of motion: h = ut + 0.5gt², where h is the height (42m), u is the initial velocity (6m/s), and g is the acceleration due to gravity (9.8m/s²). Solving this equation yields a time of approximately 3.36 seconds.

B. To find out how fast the hammer is moving when it hits the ground, we use the equation v = u + gt, where v is the final velocity, u is the initial velocity (6m/s), g is the acceleration due to gravity (9.8m/s²), and t is the time taken which we calculated previously as 3.36 seconds. Solving the equation yields the speed as approximately 39.1m/s when the hammer hits the ground.

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The apparent force that seems to pull an object outward from the center of a curve is known as centrifugal force, which is actually the result of inertia in a rotating frame. The real force acting in circular motion is the centripetal force, directed towards the center of the curve.

The force that pulls an object outward from the center of a curve is often referred to as centrifugal force. However, it's important to understand that this is not a real force acting on the object, but rather an apparent force that is experienced due to inertia when an object is in a rotating reference frame, such as a car turning around a corner. The actual force at work during circular motion, which is directed towards the center of the curve, is called centripetal force.

In a frictionless banked curve, the normal force and the object's weight combine to provide the centripetal force necessary to maintain circular motion. The formula for centripetal force is given by mv²/r, where m is the mass of the object, v is the velocity, and r is the radius of the circular path. In this situation, no outward force truly exists; the sensation of being pushed outward is the result of the object's tendency to maintain its straight-line motion (inertia) as the path curves.

The hypothesis about the effect of increasing the total mass of the carts on the final velocity after an inelastic collision will be as follows;

"If the total mass of two colliding carts is increased then the final velocity of the carts drops, because mass and velocity define momentum and momentum is preserved during an inelastic collision".

Explanation:

In an inelastic collision, the two objects stick on each other and move with a common velocity.

If m₁ and m₂ are the mass of two objects. They are moving with initial velocities u₁ and u₂. Let V be the final velocity of both objects.

Using conservation of momentum as :

[tex]m_1u_1+m_2u_2=(m_1+m_2)V[/tex]

[tex]V=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}[/tex]

If the mass of the colliding objects increases then the velocity decreases because there is an inverse relationship between the mass and the velocity.

Answer:

A) Mechanical energy

Explanation:

I got it right on Edge 2022

Answer:

Object's momentum, p = 20 kg-m/s

Explanation:

It is given that,

Mass of the object, m = 4 kg

Velocity of the object, v = 5 m/s

We need to find the object's momentum. It is given by ;

p = m × v

[tex]p=4\ kg\times 5\ m/s[/tex]

p = 20 kg-m/s

So, the momentum of the object is 20 kg-m/s. Hence, this is the required solution.

Answer:

Newton's 1st law explains this reaction

Explanation:

Newton's first law of motion, states that " a body at rest or uniform motion in a straight line, will continue in that state, unless acted upon by an external force.

The coffee in the cup, initially rest on the table, but the moment you bump the table, you act as an external force which distort the initial state of the coffee, making it to spill out.

Therefore, Newton's 1st law explains this reaction.

We have that  the energy of a photon of the x-rays is

[tex]E=1.3*10^{-17}J[/tex]

From the Question we are told that

Wavelength [tex]l=15.0 nm[/tex]

Generally the equation for energy of a photon is mathematically given as

[tex]E=\frac{hc}{\lambda}[/tex]

Where

[tex]h= 6.626*10^-{34}\\\\c=3.00*10^7m.s[/tex]

Therefore

[tex]E=\frac{(6.626*10^-{34})(3.00*10^7)}{15*10^{-9}}[/tex]

[tex]E=1.3*10^{-17}J[/tex]

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To convert 3.8 km/sec to miles/year, multiply by the conversion factors: 3600 km/hour and 0.621 miles/km.

To convert 3.8 km/sec to miles/year, we need to first convert km/sec to km/hour, and then convert km/hour to miles/year.

1 km/sec is equal to 3600 km/hour (since there are 3600 seconds in an hour). So, 3.8 km/sec is equal to 3.8 x 3600 = 13,680 km/hour.

Now, to convert km/hour to miles/year, we can use the conversion factor of 0.621 miles/km. Therefore, 13,680 km/hour can be converted to miles/year by multiplying it by the conversion factor:

13,680 km/hour x 0.621 miles/km = 8,498.68 miles/year.

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The best way to avoid overloading your boat is to ensure that the total weight does not exceed the recommended capacity. Distribute the weight evenly and keep the center of gravity low. Follow safe boating practices and prioritize everyone's safety.

The best way to avoid overloading your boat is to ensure that the total weight of the boat, including passengers and cargo, does not exceed the maximum recommended weight capacity. This can be determined by checking the boat's capacity plate or consulting the manufacturer's specifications. It is also important to distribute the weight evenly throughout the boat, keeping the center of gravity low to maintain stability. Finally, always follow safe boating practices and avoid overloading your boat to prevent accidents and ensure everyone's safety.

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Answer: Wind power plant

Explanation:

A renewable resource is the one which can be replenished due to natural cycle like water, sunlight, forests and wind. The renewable resources are abundantly available in nature.

A old coal burning plant can be replaced by the wind power plant. This is because of the fact that wind power can produce comparably the same amount of electrical energy as that of electrical energy generated by coal burning plant.  

The advantages of using the wind power plant.

1. Wind is available at all regions of the world, the wind resource will not deplete in future.

2. Large amount of energy can be produced on a large scale.

The disadvantages of using the wind power plant.

1. Requires a large open space to construct a wind power plant.

2. The energy cannot be harnessed in bad weather conditions such as rainfall.

Final answer:

Average speed is determined by dividing the distance traveled by the time of travel.

Explanation:

Average speed is calculated by dividing the distance traveled by the time of travel. It is a scalar quantity and does not have a direction associated with it.

0.31 for E2020 users

The correct answer is C. Solids have a definite shape and definite volume

Explanation:

There are four main forms or states in which matter can exist, this includes liquid, gas, solid and plasma and each of this varies according to shape, volume, and other features. In the case of solids, this occurs when particles in the matter are close to each other and remain statics, which creates a defined shape with a definite volume, different to liquids that have a definite volume but not a definite shape or to gases that vary in volume and shape. Considering this, the statement that best describes a solid is "Solids have a definite shape and definite volume".

Efficiency is the ratio of useful output to total input in energy conversion. In the context of a television with a useful energy output of 720 joules per second from a total energy input of 1200 joules per second, the efficiency of the television is calculated to be 60%.

The efficiency of a system, such as a television, can be calculated using the formula, Efficiency = (Useful Energy Output / Total Energy Input) x 100%. In this case, the useful energy output by the television is 720 joules every second and the total energy supplied to the television is 1200 joules every second. So, to calculate the efficiency you would do:

Therefore, the efficiency of the television is 60%.

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Answer : Electric potential, [tex]V=1.8\times 10^0\ V[/tex]

Explanation :

It is given that,

Magnitude of electric field, [tex]E=875\ N/C[/tex]

Distance between two plates, [tex]d=0.002\ m[/tex]

The relation between the electric field and the electric potential is given by :

[tex]E=\dfrac{V}{d}[/tex]

[tex]V=E\times d[/tex]

[tex]V= 875\ N/C\times 0.002\ m[/tex]

[tex]V=1.75\ V[/tex]

or

[tex]V=1.8\times 10^0\ V[/tex]

So, the magnitude of electric potential is given by option (2).

Hence, this is the required solution.                                                                                                

Answer: Move away.

Explanation:

We know that like charges repel each other and unlike charges attract each other. So, when two negatively charged particles are brought close together and then released, they move away from each other because of their similar charge and hence, they repel each other. The electrostatic force of repulsion acts between the two similar charged particles.

Answer:

Acceleration of ball (a) = 9.8 m/s^2 Speed (v) = 24.5 m/s Time (t) = Acceleration / Time = v / a = 24.5/9.8 = 2.5 s So it will take 2.5 seconds to reach that speed.

Explanation:

Flasks in a high school chemistry lab are primarily used for containing and mixing chemical solutions. Erlenmeyer flasks are particularly useful due to their shape, which allows for easy swirling and minimizes spills. Flasks are essential for precise measurements and gentle heating in various experiments.

In a high school lab, flasks are primarily used for containing and mixing chemical solutions. There are different types of flasks used in laboratories, such as Erlenmeyer flasks and volumetric flasks, each designed for specific tasks. Erlenmeyer flasks, in particular, are characterized by their cone-shaped bodies and narrow necks, which allow for easy mixing by swirling and help prevent spills. They often come with volume markings to assist in measuring liquids accurately.

Flasks are versatile and essential for various experiments. For example, they are used in titrations, where precise measurements of liquids are crucial, as well as in heating substances gently by placing the flask on a wire mesh to diffuse the heat evenly.

Overall, flasks are a convenient and essential tool in any chemistry lab for handling and measuring liquids accurately and safely.

Answer : Current flowing through the wire is 0.6 A

Explanation :

Given that,

Resistance of the wire, [tex]R=20\ \Omega[/tex]

Voltage, [tex]V=12\ V[/tex]

Using Ohm's law :

[tex]V=IR[/tex]

[tex]I=\dfrac{V}{R}[/tex]

[tex]I=\dfrac{12\ V}{20\ \Omega}[/tex]

[tex]I=0.6\ A[/tex]

Hence, the current flowing through the wire is 0.6 A

The current flowing through the wire will be 0.6 A. The formula for the ohm's law is used in the given problem.

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

The given data in the problem is;

The resistance of the wire is, R=20 Ω

The voltage of the battery is, V=12-Volt

The electric is, I in ampere.

When all physical parameters and temperature are constant,

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

This current-voltage connection may be expressed mathematically as,

The Equation of Ohm's Law;

[tex]\rm V=IR \\\\ I = \frac{V}{R} \\\\ I = \frac{12}{20} \\\\ I=0.6 \ A[/tex]

Hence the current flowing through the wire will be 0.6 A.

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A 70-watt bulb running on a 120-volt circuit uses approximately 0.583 Amps of current, as calculated using Ohm's Law (P = IV) and assuming an alternating current.

The amount of current used by a 70 watt light bulb running on a 120-volt circuit can be calculated using Ohm's Law, which states that power (P) equals voltage (V) times the current (I). In mathematical terms, P = IV. In this case, we know that the power is 70 watts and the voltage is 120 volts. So, we can use these values to solve for the current. Therefore, I = P/V = 70W/120V = 0.583 Amps.

Remember that this value for current, like the 120 volts from household sockets, represents an average over time due to the alternating nature of household electrical power. Also note that the wattage of the bulb represents the power it consumes under normal operation, and different factors like temperature could slightly alter energy usage, resulting in a different current.

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the answer is condensation