An unstable particle of mass M decays into two identical particles, each of mass m. Obtain an expression for the the velocities of the two decay particles in the lab frame for the following cases: a)(10 points): The original particle is at rest in the lab frame. b)(15 points): The original particle has total energy 4mc2 when it decays and the decay particles have velocities only in the direction the original particle was moving

The answer is B. Sodium because it has 11 proton

H=132.3m and U=29.4ms−1 are height and velocity respectively.

What is motion?

Motion is a change in position of an object over time. It occurs when an object moves from one point to another. Motion can be described in terms of displacement, distance, speed, velocity, and acceleration. Motion can also be described using Newton's laws of motion which state that an object in motion will remain in motion unless acted upon by an external force. Motion also describes the motion of particles in a fluid or gas, as well as the motion of waves in a medium. Motion is an essential part of the physical world and is essential for understanding the fundamental laws of nature.

Motion in a straight line

Let,

u = Initial velocity of stone

H = Maximum height attained by the stone

v = final velocity at maximum height = 0

t = time taken to attain maximum height = 3s

a=−g= acceleration due to gravity

a. We know that,

V=u+at

0=u−g×3

U=3g=3×9.8ms−2

U=29.4ms−1

b. From the equations of motion, we know that,

S=ut+ ½ a t2

H=29.4×3+½ * 9.8 *32

H=88.2+44.1

H=132.3m

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The calculated value of resistance of the colour television is 180 Ω.

Resistance is characterized as a conductor's quality that opposes the flow of electric current. The ratio of the applied voltage to the electric current passing through it is another definition for it. A conductor's resistance is determined by its length, cross-sectional area, and type of material employed in its construction. For a conductor, the resistance is inversely proportional to the cross-sectional area and directly proportional to the conductor's length.

Given parameters:

Current flowing through the colour television: I = 1.5 A.

Potential difference applied on it: V = 120 V.

We have to find; the resistance of the television: R = ?​

From Ohm's law; we know that:

   V = IR

⇒ R = V/I = 120 V/1.5 A = 180 Ω.

Hence,  the resistance of the television is 180 Ω.

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The net charge on the metal sphere after adding 1.00 × 10¹⁴ electrons is 3.596 × 10⁻⁵ C. This is calculated by adding the initial charge of +5.0 C to the charge added by the electrons (-1.602 × 10⁻¹⁹ C per electron).

The net charge on the sphere is the sum of the initial charge and the charge added by the electrons. The charge added by the electrons is equal to the number of electrons multiplied by the charge on each electron (which is -1.602 × 10⁻¹⁹ C).

So, the net charge Qf is:

Qf = Qi + Ne * (-e)

where Qi is the initial charge (+5.0 C), Ne is the number of electrons added (1.00 × 10¹⁴), and -e is the charge on each electron (-1.602 × 10⁻¹⁹ C).

Substituting the values, we get:

Qf = 5.0 C + 1.00 × 10¹⁴ * (-1.602 × 10⁻¹⁹ C) = 3.596 × 10⁻⁵ C

Therefore, the net charge on the sphere after 1.00 × 10¹⁴ electrons have been placed on it is 3.596 × 10⁻⁵ C.

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Answer:

the answer is 1500 you multiply the distance and force to get work

About 4.5 mol of water will be created when the platinum-based engine is run continuously at 300 K for an hour with 0.5 atm of H2 and 0.5 atm of O2 injected for each reaction.

For fuel cell engines' electrodes, platinum is a requirement. It acts as an electrocatalyst to speed up the electrochemical reactions needed to induce H2 to release electrons and form H2 ions when it is placed on porous electrodes.

Platinum is particularly well suited as a fuel cell catalyst because it makes it possible for the hydrogen and oxygen reactions to occur at an ideal rate and because it is stable enough to withstand both the intense electrical current density and the complex chemical environment found inside a fuel cell. This allows platinum to function effectively over an extended period of time.

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It is important on diagrams to represent a force with an arrow because force is a vector quantity but it is not important to represent a mass since it is scalar quantity.

Vector quantities are always represented with arrows because they have magnitude and direction.

Scalar quantities have only magnitude, and cannot be represented with arrows.

Thus,  it is important on diagrams to represent a force with an arrow because force is a vector quantity but it is not important to represent a mass since it is scalar quantity.

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14.56 moles of gas occupy 200 liters at a pressure of 2.8 atmospheres and a temperature of 292 K.

The ideal gas law is a fundamental equation in thermodynamics that describes the behavior of ideal gases. It relates the pressure (P), volume (V), number of moles (n), and temperature (T) of a gas.

To determine the number of moles of gas occupying a given volume, pressure, and temperature, we can use the ideal gas law equation:

                                      PV = nRT

Where:

P = Pressure (in atmospheres)

V = Volume (in liters)

n = Number of moles

R = Ideal gas constant (0.0821 L·atm/(mol·K))

T = Temperature (in Kelvin)

Rearranging the equation to solve for the number of moles (n), we have:

n = PV / RT

Now, let's calculate the number of moles:

P = 2.8 atmospheres

V = 200 liters

R = 0.0821 L·atm/(mol·K)

T = 292 K

n = (2.8 atm * 200 L) / (0.0821 L·atm/(mol·K) * 292 K)

Simplifying the equation:

n = 14.56 moles

Therefore, approximately 14.56 moles of gas occupy 200 liters at a pressure of 2.8 atmospheres and a temperature of 292 K.

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approximately 22.86 moles of gas occupy a volume of 200 L at a pressure of 2.8 atmospheres and a temperature of 292 K.

The ideal gas law equation relates the pressure, volume, temperature, and number of moles of a gas. It is given by:

PV = nRT

Where:

P is the pressure of the gas,

V is the volume of the gas,

n is the number of moles of the gas,

R is the ideal gas constant, and

T is the temperature of the gas in Kelvin.

To find the number of moles, we rearrange the equation as:

n = PV / RT

Substituting the given values into the equation:

n = (2.8 atm) * (200 L) / [(0.0821 L·atm/mol·K) * (292 K)]

n ≈ 22.86 moles

Therefore, approximately 22.86 moles of gas occupy a volume of 200 L at a pressure of 2.8 atmospheres and a temperature of 292 K.

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The size of the wavelength of a radio wave is in the order of millions of meters.

Radio wave is part of the electromagnetic spectrum. The radio wave is known to travel across a long distance because it has a long wavelength. This means that it has a low energy.

Hence, the size of the wavelength of a radio wave is in the order of millions of meters.

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Answer: Building

Explanation: took a quiz :)

The magnitude of the work done by the car's brakes to slow the car down is 235,537.5 Joules.

The work done:

W = ΔKE

The change observed in kinetic energy (ΔKE) can be find as:

ΔKE = (1/2) × m × (vf² - vi²)

Where m = mass of the car,

vf = final velocity, and

vi = initial velocity.

Let's replace the given values into the equation:

m = 1,500 kg

vf = 28.6 m/s

vi = 45.9 m/s

ΔKE = (1/2) × 1,500 kg  × ((28.6 m/s)² -  (45.9 m/s)²)

Now, determine the magnitude of the work done:

W = ΔKE

ΔKE = (1/2) ×  1,500 kg ×  ((28.6 m/s)² -  (45.9 m/s)²)

= (1/2) ×  1,500 kg ×  (-314.05 m²/s²)

= -235,537.5 J

The amount of work done by the car's brakes to slow it down is 235,537.5 Joules since the change in kinetic energy is negative (indicates a drop in kinetic energy).

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Answer:

A

Explanation:

This is to do with convection currents :)

Hope this helps!

An electrical conductor is a substance or object that allows electricity to flow through it with low resistance. Conductors are materials that have free electrons that can move easily through the material, allowing the electric current to flow.

Examples of conductors include metals such as copper, aluminum, and silver, as well as some non-metallic materials such as graphite and carbon. In contrast, insulators are materials that do not allow electricity to flow through them easily, because they have few free electrons or have electrons that are tightly bound to the atoms in the material. Examples of insulators include rubber, plastic, and glass.  

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The anthracite coal price per MMBtu is $3.00/MMBtu. Therefore, the correct option is A.

The heat content of anthracite coal is 15,000 BTU/pound. The question requires the conversion of an anthracite coal price of $90/ton to $/MMBtu. Let us use the given data to solve the problem. 1 ton equals 2000 pounds (lb). Hence,

2000 lb of anthracite coal has a heat content of 2000 lb x 15,000 BTU/lb = 30,000,000 BTU

Thus, the price per MMBtu can be calculated by the given formula;

Price per MMBtu = Price per ton / (BTUs per ton / MMBTUs per ton)

Price per MMBtu = $90 / (30,000,000 / 1,000,000)

Price per MMBtu = $90 / 30

Price per MMBtu = $3.00/MMBtu

Thus, the price per MMBtu of anthracite coal is $3.00/MMBtu. Therefore, the correct answer is option A: $3.00/MMBtu.

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The formula for calculating the orbital speed of the eqrth as it orbits the sun is expressed as

Where

G is the gravitational constant whose value is 6.673 x 10^- 11 Nm^2/kg^2

M is the mass of the central body about which the satelite orbits

R is the ardius of orbit of the satelite

From the information given,

M = 1.99 x 10^30 kg

R = 1.496 x 10^11

By substituting these values into the formula, we have

The orbital speed of the Earth, in m/s, as it orbits the Sun is 29793.48 m/s

Answer:

im confused

Explanation:

Please find attached photograph for your answer. Do comment whether it is useful or not. Mark as Brainliest if you like my answer.

Answer:

Kicking a ball involves you applying a force because you are pushing it with your foot and that makes it fly up. Once you shoot something into the air, the gravity force pulls it back down to the Earth, which is a different type of force.

Explanation:

hope this helps :)

Answer:

Resultant force = \(\sqrt{91}\)N

Explanation:

Rf = \(\sqrt{f1²+f2²+2.f1.f2.cos60}\)

Rf = \(\sqrt{6²+5²+2.6.5.1/2}\)

Rf = \(\sqrt{36+25+30}\)

Rf = \(\sqrt{91}\)

doesn't look right though...

The magnitude of resultant force is 9.54 N and it is acting an angle 33° with the direction of 5 N force.

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

Given parameters:

Two forces are 6 N and 5N.

Angle between them is 60 degree.

So, magnitude of resultant force be = √(6² + 5² + 2× 6 × 5 × cos60°) N =  = 9.54 N.

Angle of the resultant force with respect to 5 N is = tan⁻¹{6sin60°/(5 +6 cos60°)  } = 33⁰.

Hence, magnitude of resultant force is 9.54 N and it is acting an angle 33° with the direction of 5 N force.

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Answer:

Nuclear Energy is the energy released during nuclear fission or fusion, especially when used to generate electricity.

Hope this helped! Give me Brainiest

Answer: Faster through steel than through air

Explanation:

:)

Answer:

The only element is A). hydrogen.

Explanation:

I hope this helps.

Answer:

hydrogen or A

Explanation:

correct on test (edge 2021)

Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.

At 3:00 PM (9 hours after the F-18 was made), the hospital will have

= 1/2^(9/1.8)

= 1/2^5

= 1/32

= approximately 0.03125 milligrams of F-18 remaining.

At midnight (18 hours after the F-18 was made), the hospital will have

= 1/2^(18/1.8)

= 1/2^10

= 1/1024

= approximately 0.0009765625 milligrams of F-18 remaining.

While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

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The tension in the lower segment of the belt is 219 N. To find the tension in the lower segment of the belt, we can start by analyzing the forces acting on the flywheel.

The net torque acting on the flywheel can be expressed as the product of its moment of inertia and angular acceleration, given by the equation:

\(\[ \tau = I \alpha \]\)

Since the axle is frictionless, the only torque acting on the flywheel is due to the tension in the lower segment of the belt. The moment of inertia of a solid disk can be calculated using the equation:

\(\[ I = \frac{1}{2} m r^2 \]\)

where m is the mass of the flywheel and r is its radius. Substituting this into the torque equation, we have:

\(\[ T_{\text{u}} \cdot r_{\text{pulley}} = \frac{1}{2} m r^2 \cdot \alpha \]\)

Rearranging the equation, we can solve for the tension in the lower segment of the belt:

\(\[ T_{\text{u}} = \frac{1}{2} \frac{m r^2 \alpha}{r_{\text{pulley}}} \]\)

Plugging in the given values, with the mass of the flywheel (m = 66.5 kg), radius of the flywheel (r = 0.625 m), radius of the pulley \((r_{\text{pulley}} = 0.230 m)\), and the angular acceleration \((\alpha = 1.67 rad/s^2)\), we can calculate the tension in the lower segment of the belt:

\(\[ T_{\text{u}} = \frac{1}{2} \frac{66.5 \cdot 0.625^2 \cdot 1.67}{0.230} = 219 \, \text{N} \]\)

Therefore, the tension in the lower segment of the belt is 219 N.

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Answer:

0.84m

Explanation:

0.51+0.43=0.93

πr can be 22/7 or 3.14

radius is 2x2= 4

3.14 divide0.93divide 4

=0.84m/s

Answer:

0.605 m (approx.)

Explanation:

We know, given the radius and the circular velocity we can yield the centripetal acceleration using this equation,

\(a = \frac{v^2}{r}\)

From this equation, we can solve for \($r$\) like this,

\(r = \frac{v^2}{a}\\r = \frac{0.51^2}{0.43} m \\ = 0.605 m\)

The thickness that the coating should be so as to be effective at 480 nm is 163.6 nm.

For a single film with refractive index n2 on a substrate with refractive index n1 and a wavelength λ, the expression of the thickness d of the coating for maximum transmission is given by:

d = λ / (4n2)

where:

λ = 480 nm

n2 = 1.38

d = ?

Substituting the values into the formula:

d = λ / (4n2)

d = 480 × 10⁻⁹ / (4 × 1.38)

d = 163.6 × 10⁻⁹

The thickness that the coating should be, so as to be most effective at 480 nm, if the index of refraction of the coating is 1.38, is 163.6 nm.

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The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

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In order to calculate the direction of the vector, first let's draw its components:

since the horizontal component is positive and the vertical component is negative, the vector is pointing to the 4th quadrant.

To calculate the angle, we can use the arc tangent as follows:

Rounding to nearest tenth, the direction is -26.6°.

In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.

A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.

In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.

In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.

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