The mathematical relationship between three physical quantities is given by a =
b
If the dimension of b is: iT and the dimension
of cis [L]. Which one of the following choices is the dimension of a?

Answer:

Explanation:

A. To find the speed of the 6.0 kg ball after the collision, we can use the principle of conservation of momentum. The total momentum of the system before the collision is equal to the total momentum after the collision.

Momentum before collision = Momentum after collision

m1v1 + m2v2 = (m1 + m2)vf

where:

m1 = 2.0 kg (mass of first ball)

m2 = 6.0 kg (mass of second ball)

v1 = 12 m/s (velocity of first ball)

v2 = 4.0 m/s (velocity of second ball)

vf = final velocity of the combined balls after collision

Since the 2.0 kg ball moves in the opposite direction with a speed of 8.0 m/s after the collision, and the total mass of the two balls is 8.0 kg, we can write:

vf = (m1v1 + m2v2) / (m1 + m2) = (2.0 kg x (-8.0 m/s) + 6.0 kg x 4.0 m/s) / 8.0 kg = 2.33 m/s

So the speed of the 6.0 kg ball after the collision is 2.33 m/s.

B. To find the KE for each ball before and after the collision, we can use the formula:

KE = 0.5mv^2

where:

m = mass of the ball

v = velocity of the ball

For the 2.0 kg ball, the KE before and after the collision is:

KE before = 0.5 x 2.0 kg x (12 m/s)^2 = 72 J

KE after = 0.5 x 2.0 kg x (8.0 m/s)^2 = 32 J

For the 6.0 kg ball, the KE before and after the collision is:

KE before = 0.5 x 6.0 kg x (4.0 m/s)^2 = 48 J

KE after = 0.5 x 6.0 kg x (2.33 m/s)^2 = 20.44 J

C. To find the amount of KE that is lost during the collision, we can subtract the total KE after the collision from the total KE before the collision:

KE lost = KE before - KE after = (72 J + 48 J) - (32 J + 20.44 J) = 40.56 J

So the amount of KE that is lost during the collision is 40.56 J.

Strong interpretation is an important thing in meteorology. Because, analyzing the climate level in each area and the factors affecting it with their visual representation is very important in weather forecast.

Meteorology is a branch of science dealing with the weather in different regions. On interpreting data, forecasters are tasked with synthesizing available observations from multiple platforms (including surface observations, weather balloons, radar, and satellite), numerical guidance from computer model forecasts, scientific theory, and experience-based intuition to arrive at a forecast.  

The forecast process is often collaborative, with teams of meteorologists routinely integrating new information into the forecast as the event approaches.

Increasingly, forecasters are also responsible for effectively communicating the forecast and its anticipated impacts upon life and property to various stakeholders, including the public.

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Answer:

In physical science, an isolated system is either of the following: a physical system so far removed from other systems that it does not interact with them. a thermodynamic system enclosed by rigid immovable walls through which neither mass nor energy can pass

Time period of a wave is the inverse of its frequency. The period of the wave with a frequency of 2.09 Hz is 0.47 seconds.

Frequency of a wave is the number of wave cycles per unit time. Frequency is the inverse of the time period of the wave. Hence, it has the unit of s⁻¹ which is equivalent to Hz.

The higher frequency of a wave indicates more number of wave cycles in a short time. Frequency is directly proportional to the energy and inversely proportional to the  wavelength.

Given the time period of the wave = 2.09 Hz

then frequency = 1/2.09 Hz = 0.47 s.

Therefore, the time period  of the wave is 0.47 seconds.

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According to the law of conservation of momentum, the velocity of the canoe after the collision will be 17.79 meters per second.

The law of conservation of momentum states that the momentum of the system of objects remains constant before and after the collision unless an external force is applied.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where, m₁ is the mass of one object and m₂ is the mass of second object,

u₁ and u₂ are initial velocities of object one and two,

v₁ and v₂ are the final velocities of object one and two.

16 × 12.5 + 14 × 16 = 12.5 × v₁ + 14 × 14.4

200 + 224 = 12.5v₁ + 201.6

424 = 12.5v₁ + 201.6

424 - 201.6 = 12.5v₁

222.4 = 12.5v₁

v₁ = 222.4/ 12.5

v₁ = 17.79 m/s

Therefore, the velocity of the canoe after the collision will be 17.79 meters per second.

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a) Maximum height reached by ball = 376 m ; b) Time taken to reach that height is 21.5 s and c) Velocity 30s after it is thrown is -13.9 m/s

Velocity is vector expression of displacement that an object or particle undergoes with respect to the time.

Given:

y₀ = 0 m ; v₀ = 35 m/s

a) Find: y when v = 0 m/s.

As, v² = v₀² + 2a (y − y₀)

(0 m/s)² = (35 m/s)² + 2(-1.63 m/s²) (y − 0 m)

So, y = 376 m

Maximum height reached by ball, y = 376 m

b) Find: t when v = 0 m/s.

As, v = at + v₀

0 m/s = (-1.63 m/s²) t + 35 m/s

So, t = 21.5 s

Time taken to reach that height is, t = 21.5 s

c) Find: v when t = 30 s.

As, v = at + v₀

v = (-1.63 m/s²) (30 s) + 35 m/s

So, v = -13.9 m/s

Velocity 30s after it is thrown is, v = -13.9 m/s.

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144 is the power if the current is 3.0 ampere.

Average power, or when tdelta, t in the equation for power is very large, is the power measured over a lengthy period of time. Finding the area under the power vs. time curve, which represents the total work completed, and dividing by the total time are two methods for calculating this.

Although calculus is typically the finest tool for this, it is frequently possible to estimate it very correctly only using geometry. Peak power is the highest value that an instantaneous amount of power can have in a given system over an extended period of time.

Systems that have the capacity to provide a peak power that is significantly greater than their rated average power include stereo systems and car engines.

Therefore, 144 is the power if the current is 3.0 ampere.

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Answer: γ = √(1 - v²/c²)

Explanation:

The formula for time dilation in Einstein's theory of special relativity is:

γ = √(1 - v²/c²)

The position of the yacht 29 seconds after it passes you is 290.87 m.

The acceleration of the yatch is calculated by applying Newton's second law of motion as shown below.

F = ma

a = F / m

where;

a = ( 26 N ) / ( 188 kg )

a = 0.14 m/s²

The distance travelled after 29 seconds is calculated as follows;

s = vt + ¹/₂at²

where;

s = ( 8 m/s x 29 s )  +   ¹/₂(0.14)(29)²

s = 290.87 m

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The acceleration is 4.5 m/s^2 towards the west. Option B

We have to in this case use the equation of the motion that have been uniformly accelerated so as to be able to find the acceleration which is the rate of the change of the velocity of the object with time.

Acceleration = Change in the velocity / Time

Initial velocity = 65km/h or 18.1 m/s

Final velocity = 0 m/s

Time taken = 4.0 s

Then we have that;

Acceleration =  0 - 18.1/4

= -4.5 m/s^2

The acceleration of the object is 4.5 m/s^2 towards the west as shown above.

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Neutral atoms have an equal number of protons and electrons, which means their overall electric charge is zero. On the other hand, atoms that are positively charged, also known as cations, have lost one or more electrons and thus have a net positive charge. The loss of electrons changes the number of positive charges (protons) and negative charges (electrons) within the atom, altering its chemical and physical properties. The difference in charge also affects how these atoms interact with other atoms and molecules, leading to differences in reactivity and behavior.

The mid-ventral line divides the body into right and left.

Mid-ventral line -

The intersection between the ventral skin and the median plane.

Given is that the mid-ventral line divides the body.

Midline refers to the imaginary line that divides the body into symmetrical left and right halves.

Therefore, the mid-ventral line divides the body into right and left.

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The specific heat capacity of silver is 0.235 J/g°C.

The theory used in this question is the specific heat capacity equation, which states that the amount of energy required to raise the temperature of an object is proportional to the mass, specific heat capacity, and change in temperature.

The equation is Q = mcΔT, where Q is the amount of energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Explanations given below

Calculate the specific heat capacity of silver by dividing the energy absorbed (197.9 J) by the mass of the silver (55.0 g) and the temperature rise (15°C).

Divide 197.9 J by 825 g°C (55.0 g * 15°C).

             (197.9 J) / (55.0 g * 15°C) = 0.235 J/g°C

The result is 0.235 J/g°C, which is the specific heat capacity of silver.

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Answer:

30600 J

Explanation:

Work = Power* Time

         =30600 J

When inhaled, air from a regulator, which is a piece of diving equipment, is supplied at atmospheric pressure.

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The efficiency of the machine is 45%

Efficiency is a measure of how well a system, process, or machine uses resources to produce outputs compared to the inputs used. It indicates the extent to which time, effort, and resources are used effectively to achieve desired goals and minimize waste. The efficiency of a system can be improved by reducing inputs, increasing outputs, or a combination of both.

The efficiency is;

Output power/ Input power * 100/1

= 9/20 * 100/1

= 45%

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Aerosols in the troposphere, like dust and smoke, scatter UV-B radiation in addition to absorbing it, unlike clouds.

Our cells' DNA may become damaged by radiation. Acute Radiation Syndrome (ARS) or Cutaneous Radiation Injuries are potential side effects of high radiation doses (CRI). The long-term effects of high radiation doses may include cancer.

Certain radiation sources only briefly remain in the body. Some substances persist in the body permanently, such as seeds and radioactive medications. Yet as time passes, the radiation deteriorates and exhausts itself. You do temporarily become radioactive due to internal radiation.

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The velocity of the car along east direction  must be 34.94 m/s.

In physics momentum of any object can be defined as product of velocity and mass. As velocity is a vector quantity, momentum is also a vector quantity. So, to define momentum both magnitude and direction are required.  SI unit of momentum is kg-m/s.

Mass of the car = 1370 kg.

Mass of the   pickup truck a = 2280 kg

Momentum of the  pickup truck along east = 2280 kg × 21 m/s

= 47880 kg-m/s.

Hence, velocity of the car along east direction = (47880/1370) m/s

= 34.94 m/s.

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The initial velocity of the bike was 3.75 m/s.

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Answer:

to explain the work on the other one you said its this A) The speed of the truck at the end of the 20.0m distance can be calculated using the equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement. The initial velocity of the truck is 100m/s, the acceleration is 6.5m/s^2, and the displacement is 20.0m. Plugging in these values, we get v^2 = 100^2 + 2(6.5)(20.0). Solving for v, we get v = 36.6 km/h. B) The time elapsed can be calculated using the equation t = (v-u)/a, where t is the time elapsed, v is the final velocity, u is the initial velocity, and a is the acceleration. Plugging in the values, we get t = (36.6-100)/6.5, which gives us t = 3.03 seconds.

Explanation:

but for this problem

The acceleration when braking is -202m/s2. b. After braking for 1s, the velocity is 242m/s.

The acceleration when braking can be found by using the equation a = (Vf- Vi)/t, where Vf is the final velocity, Vi is the initial velocity, and t is the time. In this case, the initial velocity is 444m/s and the final velocity is 0m/s. The time is 2.15s. Plugging these values into the equation gives us a = -202m/s2. For the second question, we can use the equation Vf = Vi + at, where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is the time. In this case, the initial velocity is 444m/s, the acceleration is -202m/s2, and the time is 1s. Plugging these values into the equation gives us Vf = 242m/s.

t = 3.03 seconds.

Explanation:

Answer:

The driver does not do it. The acceleration must be greater than 9.0m/s² in order to beat the time of 4.5s. The acceleration must be calculated using the equation a = (d/t)², where a is the acceleration, d is the distance, and t is the time. In this case, a = (100/4.5)², which is equal to approximately 27.78m/s². Therefore, the acceleration must be greater than 27.78m/s² in order to beat the time of 4.5s.

Explanation:

Answer:

The car takes approximately 6.3 seconds to slow from 22m/s to 3m/s with a constant acceleration of -2.1m/s². This is calculated using the equation vf = vi + at, where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time.

Explanation:

Answer:

The car takes approximately 6.3 seconds to slow from 22m/s to 3m/s with a constant acceleration of -2.1m/s². This is calculated using the equation vf = vi + at, where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time

Explanation:

Answer:

Explanation:

The voltage needed to obtain the speed of 6.00 x 10^6 m/s for a bare helium nucleus is 149 x 10^4 V.

Answer: In a generator, the back and forth movement of electrons as the magnet spins and opposite poles of the magnet push the electrons in opposite directions is called Alternating Current (AC).

Explanation:

Answer:

alternating current and direct current

Explanation:

yall some of these questions arent that hard, use common sense

(i)  The time when car Q overtook car P is 8 seconds.

(ii) The car Q was 32 meters away from car P when car P came to a stop.

(i) To find the time when car Q overtook car P, we can use the formula for relative velocity:

v = u + at

where;

Let's call the time when car Q overtook car P as t. At that time, the velocity of car Q is equal to the velocity of car P, so:

20 = 0 + 2.5t

Solving for t, we get:

t = 8 seconds

(ii) To find the distance between the two cars when car P came to a stop, we can use the formula for distance traveled:

d = ut + (1/2)at^2

Let's call the distance between the two cars when car P came to a stop as d. Since car P was decelerating, its final velocity is 0 m/s. Substituting the known values into the formula, we get:

d = 20t + (1/2)(-2.0)(t^2)

d = 20 * 8 + (1/2)(-2.0)(8^2)

d = 160 - 128

d = 32 meters

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The kind of equation that we can use to solve the problem is;   x = 1/2* (vf+vo) * t. Option B

Th equations of motion has to do with the equations that we cam be able to apply so as to solve the equations that are for the uniformly accelerated motion.

In the case of the problem that we have in this question, we have been told that A train decreases speed from 30 m/s to 20 m/s while in 20s. The formula that can be used to get the displacement of the train is  x = 1/2* (vf+vo) * t.

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The frequency of the wave is 0.33 Hz.

The celerity of the wave is wave is 4.95 m/s.

As the celerity of the wave increases, the wavelength increases.

The frequency of the wave is calculated by applying the following formula.

v = fλ

where;

f = 1 / T

f = 1 / 3 s

f = 0.33 Hz

The celerity of the wave is wave is calculated as follows;

v = fλ

v = ( 0.33 Hz ) x ( 15 m )

v = 4.95 m/s

λ = v / f

Thus, from the above equation as the celerity of the wave increases, the wavelength increases.

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