Law of conservation of matter (mass)

After the collision, the motorcycle's velocity is around 3.42 m/s, and the bicycle's velocity is approximately -1.42 m/s in the opposite direction.

To solve this problem, we can apply the principles of conservation of momentum and the coefficient of restitution. The conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision.

Let's denote the initial velocity of the motorcycle as v1, the initial velocity of the bicycle as v2, the final velocity of the motorcycle as v1f, and the final velocity of the bicycle as v2f.

The total momentum before the collision can be calculated as:

Initial momentum = (mass of the motorcycle * initial velocity of the motorcycle) + (mass of the bicycle * initial velocity of the bicycle)

= (75 kg * 10 m/s) + (45 kg * 8 m/s)

= 750 kg·m/s + 360 kg·m/s

= 1110 kg·m/s

According to the conservation of momentum, the total momentum after the collision is equal to the initial momentum:

Total momentum after the collision = (mass of the motorcycle * final velocity of the motorcycle) + (mass of the bicycle * final velocity of the bicycle)

= (75 kg * v1f) + (45 kg * v2f)

Now, let's consider the coefficient of restitution (e = 0.5). The equation for the coefficient of restitution is:

Coefficient of restitution (e) = (relative velocity of separation) / (relative velocity of approach)

= (v2f - v1f) / (v2 - v1)

Since it's a head-on collision, the relative velocity of approach is the sum of the velocities of the two masses before the collision:

Relative velocity of approach = v2 - v1

To find the relative velocity of separation, we can use the equation:

Relative velocity of separation = e * (relative velocity of approach)

= e * (v2 - v1)

Substituting these values into the equation for conservation of momentum, we have:

1110 kg·m/s = (75 kg * v1f) + (45 kg * v2f)

Since we have two unknowns (v1f and v2f), we need another equation to solve for them. Using the equation for the relative velocity of separation, we have:

v2f - v1f = e * (v2 - v1)

45 kg * v2f - 75 kg * v1f = 0.5 * (45 kg * 8 m/s - 75 kg * 10 m/s)

Now we have a system of two equations with two unknowns. Solving these equations simultaneously will give us the final velocities of the motorcycle (v1f) and the bicycle (v2f) after the collision.

By solving these equations, we find that the final velocity of the motorcycle (v1f) is approximately 3.42 m/s, and the final velocity of the bicycle (v2f) is approximately -1.42 m/s. The negative sign indicates that the bicycle is moving in the opposite direction after the collision.

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The approximate base impedance for the transmission line is 22 ohms.

To calculate the base impedance for the transmission line, we can use the formula:

Base Impedance (Zbase) = (Base Voltage)² / Base Power

Given:

Line-to-neutral base voltage = 66.5 kV (kilovolts)

3-phase power = 200 MVA (megavolt-amperes)

First, we need to convert the voltage to volts and power to watts:

Line-to-neutral base voltage = 66.5 kV = 66,500 V

3-phase power = 200 MVA = 200,000,000 VA = 200,000,000 W

Now we can calculate the base impedance:

Zbase = (66,500 V)² / 200,000,000 W

Calculating this equation:

Zbase ≈ 22 Ω (ohms)

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Answer:

The correct answer is true.

The wavelength at which the brown dwarf will emit the most radiation at a wavelength of 1932 nm (nanometers).

Wien's law formula is:

λmax = b/T

where λmax is the wavelength at which the object emits the most radiation.

b is Wien's constant which is equal to 2.898 × 10^-3 m K and T is the temperature of the object in Kelvin.

To calculate the wavelength at which the brown dwarf will emit the most radiation,

surface temperature of 1500 K=

λmax = b/T

         = 2.898 × 10^-3 m K / 1500 K

         = 1.932 × 10^-6 m

         = 1932 nm

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Answer:

both statements are truth

Explanation:

a-The Joule effect, also called Joule's law, is the thermal manifestation of electrical resistance. ... In all these cases, it is intended to generate thermal energy with electricity passing through its conductors. This heat they give off is due to the Joule effect.

b-sure of a liquid tank depends only on the density of the liquid and depth from the free surface. It is a scalar quantity and is same in all directions, at a point.

R = resistivity × (l/A), A = πr^2= πd^2/4

2 =( 4.9 × 10^ -4) * (l/π0.7^2/4)

make l the subject and calculate.

i assumed we are looking for the length if the wire.

Answer:

30.95 cm

Explanation:

The focal length f, the object distance do, and the image distance di are related with the following equation:

So, replacing the values, we get:

Then, solving for di, we get:

Therefore, the image distance is 30.95 cm

The period of a wave with speed 351m/s and a wavelength of 4.20m is 0.012s

Wave is a disturbance created by a vibration of particles that travel through a medium from one position to another.

There are 2 type of waves, longitudinal and transverse waves.

Longitudinal wave is a type of wave which the virbation of the medium is parallel with the direction of the wave travels. Transverse wave is a wave which its vibration is perpendicular to the direction of the wave travels.

Wavelength (λ) is the distance between two identical successive point in one wave. Frequency (f) is the number of waves that pass through a  fixed point in a given period of time. Period (T) is the number of time needed for a wavelength to passes one fixed point.

The speed of a wave could be calculated by dividing the wavelength with the frequency of a wave.

v = λ . f

Knowing that period (T) is the reciprocal of frequency (f), hence:

v = λ/T

In the case, we could find the period of the wave by using the data given;

v = 351m/s

λ = 4.20m

T = ?

v = λ/T

351 m/s = 4.20m / T

T = 0.012s

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Answer:

Time and velocity

Explanation:

The time taken for the velocity to double is very important to find the amount of acceleration the car acquires.

Acceleration is the rate of change of velocity with time.

  Acceleration  = \(\frac{v -u}{t}\)

v is the initial velocity

u is the final velocity

t is the time taken

 So, the velocity and time is needed to calculate the value of the acceleration the car undergoes.

Answer:

Explanation:

s=vt

t=s/v

s=260 m

v=vf-vi=12-0=12 m/s

therefore

t=260/12=21.67 sec

Answer:

"solve: given that F -12 N and time 4 seconds and let we have to find out the P.

F = 12 N

t = 4 s

p = ?

F = m×( v - u ) / t

12 = m×v / 4

m×v = 12× 4

p = 48 kg m/s

Linear momentum will be 48 kg m/s.

Explanation:

Streamflow is the flow of water in streams, rivers, and other channels, and is a key component of the water cycle. It's influenced by a variety of factors, including the shape and depth of the riverbed, the gradient of the stream, the size and shape of the channel, and the amount of water flowing through it. The given statement is false.It is affected by many factors.

All of these factors influence the velocity of the streamflow. Riverbed and streamflow relationshipThe velocity of streamflow is primarily influenced by the gradient or slope of the riverbed. A shallow slope will not yield high velocity streamflow, but instead will create a slow-moving, meandering stream with a high potential for sedimentation and erosion. In contrast, a steep gradient will create a fast-moving stream with a higher velocity and more turbulent water. As a result, a steeper slope will produce higher velocity streamflow than a shallower slope, which will produce slower-moving streamflow. Therefore, a riverbed with a shallow slope will not yield high velocity streamflow. The statement is false.

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Answer:

The atomic weight

Explanation:

The property of isotopes that must be different is the atomic weight.

Isotopes are generally referred to as atoms of the same element with the same atomic number (proton number) but different neutron numbers.

Since the atomic weight of an atom is the sum of proton and neutron, atomsof the same element with different number of neutrons will definitely have different atomic weight.

the correct answer is: You must increase the track height by a factor of 4. The roller coaster's kinetic energy at the bottom of the track is provided by: \(K1 = (1/2) * m * v0^2\) where m is the roller coaster's mass and v0 is its velocity at the bottom.

The roller coaster's velocity would be v = 2v0 if we wanted it to go twice as fast at the bottom. At this increased velocity, the roller coaster's kinetic energy at the bottom would be\(: K2 = (1/2) * m * (2v0)^2 = 2 * K1\) To obtain this increased kinetic energy, we must raise the roller coaster's potential energy. The roller coaster's potential energy at the top of the track is given by: U1 = m * g *  where g denotes gravity's acceleration and h is the height of the track. To double the speed of the roller coaster, we need to double its kinetic energy, which means we need to double its potential energy.

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Answer:

The correct answer is - pollens.

Explanation:

During the springtime of the year, Pollination is common among plants and there are many plants that use air or wind as the medium for spreading the pollens. Such weeds, grass, and trees use this type of wind-pollination.

These are the most common allergens during this time that leads to sneezing and suffering from allergic reactions. Pollens are too heavy to be airborne for a longer time or they are inhaled from the air and lead to allergic reactions.

The internal resistance of the battery is approximately 32.9 ω.

To determine the internal resistance of a battery with an emf of 11.10 V that delivers 117 mA when connected to a 62.0 ω load, follow these steps:

1. Convert the current (mA) to amps (A):

117 mA = 0.117 A

2. Calculate the voltage across the external load (V_load) using Ohm's Law:

V_load = I × R_load,

where I is the current and R_load is the load resistance.

3. V_load = 0.117 A × 62.0 ω = 7.254 V

4. Determine the voltage across the internal resistance (V_internal) by subtracting V_load from the emf:

V_internal = emf - V_load

5. V_internal = 11.10 V - 7.254 V = 3.846 V

6. Finally, calculate the internal resistance (R_internal) using Ohm's Law:

R_internal = V_internal / I

7. R_internal = 3.846 V / 0.117 A ≈ 32.9 ω.

Therefore, the resisitance is 32.9 ω.

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Answer:

motion; position; reference; speed; velocity; forces; gravity; friction; direction; acceleration (in order)

Explanation:

Answer:

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.

Answer: the tension in the first string is 25N and the tension in the second string is 43.3N.

Explanation:

             T1

             /\

            /  \

           /    \

          /60°  \

         /      \

        /        \

       /_________\

      O    5kg    T2

         30°

The present discussion considers the tensions T1 and T2 acting upon two strings, with a particle denoted as "O" possessing a mass of 5kg under scrutiny.

One may employ Newton's second law to calculate the magnitudes of the tensions present in a system, as it states that the overall force acting upon an object is proportional to the product of its mass and acceleration. In this instance, the particle remains at rest as the net force acting upon it is equal to zero. Henceforth, it follows that the equilibrium of tension in every string is contingent upon the equivocation of the weight of the particle along the corresponding string direction.

By means of trigonometry, it is feasible to ascertain the constituents of the particle's weight with respect to each directional axis.

  weight = m * g = 5kg * 10m/s^2 = 50N

  weight_x = weight * sin(30°) = 25N

  weight_y = weight * sin(60°) = 43.3N

Answer:

answer is 2 ms-2

Explanation:

v= 10.0 m/s

u=4.0 m/s

t=3.0 seconds

a=?

from equation, v= u+at

10.0 m/s =4.0 m/s + a × 3s

6 m/s. = 3a

6/3 = a

2.0 m/s-2 = a

a)  The distance between nodal planes of the electric field is approximately 3.37 meters.

To find the distance between nodal planes of the electric field (E), we can use the formula:

λ = c / f

Where:

λ is the wavelength

c is the speed of light in vacuum (approximately 3.00 × 10^8 m/s)

f is the frequency

Given:

f = 89.0 MHz = 89.0 × 10^6 Hz

Substituting the values into the formula:

λ = (3.00 × 10^8 m/s) / (89.0 × 10^6 Hz)

  = 3.37 m

b)The distance between a nodal plane of the electric field (E) and the closest nodal plane of the magnetic field (B) is approximately 1.685 meters.

The distance between a nodal plane of the electric field (E) and the closest nodal plane of the magnetic field (B) in an electromagnetic wave is half the wavelength (λ/2).

Using the same wavelength calculated in part (a):

λ/2 = 3.37 m / 2

    = 1.685 m

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Answer:

E

Explanation:

All others conduct electricity and heat.

Answer:

E.Rubber

Explanation:

Rubber is the best insulator, they have them coated around electricity wires, while metals are good conductors.

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Answer:

Beryllium bromide

Explanation:

There exists 2 elements in the question

Beryllium Be with valence of +2, and it's a metal

Bromine Br with a valence of -1, and is a non - metal.

Both of them combine together forming an ionic bond:

Be + Br(2) -> BeBr(2)

In naming the compound, we would say that since the first is a metal, beryllium, and the second being a halogen, bromine. We name it by calling the first name together with the last name and changing the last name of the non metal from -ine to -ide.

So we have, Beryllium Bromide.

Answer: A. Beryllium Bromide

Explanation:

Got it right on edge 2023

Answer:

brush

Explanation:

its correct

Answer:

B. Brush

Explanation:

Edg 2021

Answer:

c

Explanation:

what poping

Answer:

B. raising the temperature of the air

The water can be raised to a height of approximately 15.7 m above the water surface at point A.

To solve this problem, we need to use the principles of fluid mechanics, specifically the Bernoulli's equation and the continuity equation.

A1v1 = A2v2

We know that the diameter of the 8.0 in. pipe is 8 in. = 0.6667 ft, so its cross-sectional area is:

A1 = \(π/4 x (0.6667 ft)^2 = 0.349 ft^2\)

Similarly,

A2 = \(π/4 x (0.3333 ft)^2 = 0.0873 ft^2\)

v1 = (A2v2)/A1 = \((0.0873 ft^2 x 12 ft/s)/0.349 ft^2\) = 2.39 ft/s

Next, we can use the Bernoulli's equation between points A and C to relate the pressure difference to the velocity difference:

P/ρ +\(v^2/2g\) + h = constant

h = (P/ρ - Patm)/g + z

We are given that the pump delivers 25 hp with 60% efficiency, so the power input to the pump is:

Pin = 25 hp/0.6 = 41.7 hp = 31.1 kW

Pin = QP/η

The volumetric flow rate can be calculated from the continuity equation:

Q = A1v1 = \(0.349 ft^2 x 2.39 ft/s = 0.834 ft^3/s\)

Substituting this into the above equation, we get:

P = Pinη/Q = \((31.1 kW x 0.6)/0.834 ft^3/s\) = 1773 Pa

Finally, we can substitute the known values into the Bernoulli's equation:

h = \((P/ρ - Patm)/g + z = (1773 Pa/1000 kg/m^3 - 101325 Pa)/9.81 m/s^2 + 0 m\)

h ≈ 15.7 m

Therefore, the water can be raised to a height of approximately 15.7 m above the water surface at point A.

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a. The shift of the LM curve to the left occurs due to a decrease in the money supply or an increase in the demand for money.

b. Two reasons for a steep IS curve are High Investment Demand and Inflexibility in Investment.

The LM curve shows the various combinations of interest rates and income that bring about the equality of the supply and demand for money.

Below are three reasons for the leftward shift of the LM curve:

1. Decrease in Money Supply: The leftward shift of the LM curve can occur if the money supply decreases. This causes the interest rates to rise because the demand for money is greater than the supply.

2. Increase in Money Demand: An increase in the demand for money can lead to a leftward shift of the LM curve. This happens when people want to hold more money than is available in the economy, and the interest rate rises as a result.

3. Increase in Prices: An increase in prices causes a leftward shift of the LM curve. This is because, at higher prices, people need more money to conduct their transactions, and an increase in the money supply is required to keep the interest rate constant.

Now, moving on to the steep IS curve:

1. High Investment Demand: A steep IS curve may occur if there is high investment demand. This happens when businesses are optimistic about the future and invest more, causing the demand for credit to increase and the interest rates to rise.

2. Inflexibility in Investment: A steep IS curve can also be caused by inflexibility in investment. This occurs when businesses are unwilling to change their level of investment due to economic conditions, and any changes in the interest rates have a significant effect on investment and output levels.

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