A bat, flying due east at 2 m/s, emits a shriek that is reflected back to it from an oncoming insect flying directly toward the bat at 4 m/s. The insect is 20 m from the bat at the instant the shriek is emitted. Sound travels 340 m/s in air. After what elapsed time does the bat hear the reflected echo?

Explanation:

w= mg

weight on earth= 50 * 9.8= 490 Newtons

weight on mars,= 50 * 3.7= 185 Newtons

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Answer:

Resistance =  4465 Ω - 4935 Ω

Explanation:

The color bands in a four band resistors are read as follows:

Band 1: 1st digit of Resistance

Band 2: 2nd digit of Resistance

Band 3: Multiplier Value

Band 4: Tolerance

Now interpreting our code:

Band 1 (Yellow) = 4

Band 2 (Violet) = 7

Band 3 (Red) = 10²

Band 4 (Gold) = ±5%

Therefore,

Resistance = 47 x 10² Ω ± 5%

Resistance = 4700 Ω ± 5%

So, the range can be calculated as:

Lower Limit = 4700 Ω - (0.05)(4700 Ω)

Lower Limit = 4700 Ω - 235 Ω

Lower Limit = 4465 Ω

No, for upper limit:

Upper Limit = 4700 Ω + (0.05)(4700 Ω)

Upper Limit = 4700 Ω + 235 Ω

Upper Limit = 4935 Ω

Thus, the acceptable range of resistance will be:

Resistance =  4465 Ω - 4935 Ω

Answer:

The total kinetic energy must be greater than the momentum of either ball

Explanation:

In order to solve this problem, we must clarify the following conditions, the balls are in motion that is, there is kinetic energy, the kinetic energy is a scalar magnitude, therefore this energy is greater than zero.

But however momentum is equal to zero, momentum is a vector quantity, that is, these velocities have a direction, momentum is defined as the product of mass by Velocity.

P = m*v (momentum lineal)

where:

P = lineal momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

Since the masses of the balls are equal, we have:

m1 = m2

therefore:

m1*v1 + (m2*v2) = 0 (total momentum)

For the sum to be equal to zero, besides the equivalation of the masses, the velocities must also be equal, but the velocities must be of opposite sign, to meet equality to zero.

m1*v1 - m2*v2 = 0

And the kinetic energy of a body is defined by means of the following equation

Ek = 0.5*m*v²

Since the magnitude of the velocities is greater than zero, so that there is movement, we can say that the kinetic energy is much greater than zero, as well as greater than the total linear momentum

Answer:

distance(d)=.....

time(t)=....

speed =?

we know that

speed =distance /time

Answer:

sorry about this question

Acceleration:

a = (22 mph - 0 mph) / (3.45s) = 6.37 mph/s

Magnitude of the Downward Force:

F = m*a = 76.4 kg * 6.37 mph/s = 484.53 N

The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.

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Answer:

The power output of this engine is  \(P = 17.5 W\)

The  the maximum (Carnot) efficiency is  \(\eta_c = 0.7424\)

The  actual efficiency of this engine is  \(\eta _a = 0.46\)

Explanation:

From the question we are told that

    The temperature of the hot reservoir is  \(T_h = 1250 \ K\)

      The temperature of the cold reservoir  is  \(T_c = 322 \ K\)

     The energy absorbed from the hot reservoir is \(E_h = 1.37 *10^{5} \ J\)

       The energy exhausts into  cold reservoir is  \(E_c = 7.4 *10^{4} J\)

The power output is mathematically represented as

      \(P = \frac{W}{t}\)

Where t is the time taken which we will assume to be 1 hour =  3600 s  

W is the workdone which is mathematically represented as

      \(W = E_h -E_c\)

substituting values

       \(W = 63000 J\)

So

    \(P = \frac{63000}{3600}\)

    \(P = 17.5 W\)

The Carnot efficiency is mathematically represented as

          \(\eta_c = 1 - \frac{T_c}{T_h}\)

         \(\eta_c = 1 - \frac{322}{1250}\)

         \(\eta_c = 0.7424\)

The actual efficiency is mathematically represented as

        \(\eta _a = \frac{W}{E_h}\)

substituting values

         \(\eta _a = \frac{63000}{1.37*10^{5}}\)

         \(\eta _a = 0.46\)

According to the given statement After t = (√29+3) seconds and with v = 10√29 m/s velocity will it hit the sea.

The displacement how an object and particle experiences with regard to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of flow speed (also known as speed). Instead, the magnitude of velocity can be expressed in centimeters per second (cm/s).

Initial height = 100 m

Initial velocity = 30 m/s

g = 10 m/s²

To Find

Time taken and final velocity

Solution

v²-u² = 2as & v = u + at

Assuming downward motion to be positive

According to the Question :

⇒ v²-u² = 2as

⇒ v²-30² = 2(10)(100)

⇒ v² = 900+2000

⇒ v² = 2900

⇒ v = √2900

⇒ v = 10√29 m/s

So then the time taken would be

⇒ v = u + at

⇒ 10√29 = (-30) + 10t

⇒ (10√29+30)/10 = t

⇒ t = (√29+3) sec

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Answer:

Explanation:

Let's just have our reference frame travel along with the original un broken mass. This way the original velocity is not relevant.

Each half will have a mass of 770/2 = 385 kg

Each half will have the same magnitude of velocity (conservation of momentum) which will be 2.6 x 10³/2 = 1.30 x 10³ m/s

Now add back the reference frame velocity to get velocity relative to earth.

Section one will have velocity 6.90 x 10³ + 1.30 x 10³ = 8.2 x 10³ m/s

Section two will have velocity 6.90 x 10³ - 1.30 x 10³ = 5.6 x 10³ m/s

In the moving reference frame, each half will have kinetic energy which could only come from the explosion

KE = ½(385)(1.3 x 10³)² = 325,325,000 J

2(325,325,000) = 650,650,000 J released in the explosion.

Rounding to the three significant figures of the problem numerals

E = 6.50 x 10⁸ J or 650 MJ released

The astronautical engineers work with machine that fly outside the Earth's atmosphere.

The design, development, testing, and production of aircraft, spacecraft, and associated systems and equipment fall within the purview of aerospace engineering. The two main and overlapping sections of the field—aeronautical engineering and astronautical engineering—have historically concentrated on issues relating to air and space flight.

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The instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s.

To find the instantaneous speed of the ant at time t=8s, we need to calculate the derivative of the displacement function with respect to time. Since the displacement of the ant is given by a piecewise function, we need to differentiate each segment of the function separately and then piece them together. From 0s to 4s, the displacement of the ant decreases linearly from 6m to 2m. The slope of this segment is -1m/s. From 4s to 7s, the displacement of the ant is constant at 2m. The slope of this segment is zero. From 7s to 9s, the displacement of the ant increases linearly from 2m to 5m. The slope of this segment is 1.5m/s. Finally, from 9s to 10s, the displacement of the ant is constant at 5m. The slope of this segment is zero.

Therefore, the instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s. This means that the ant is moving upwards at a constant speed of 1.5m/s at time t=8s. It's important to note that the instantaneous speed of the ant tells us how fast it's moving at a specific moment in time. It's not the same as the average speed over a given time interval, which would be calculated by dividing the total displacement by the total time elapsed.

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Explanation:

Explanation:

Y = 5 Sin27(.2x-3t)

= 5 Sin(5.4x - 81 t)

Amplitude = 5 m

Angular frequency w = 81

frequency = w/ 2π = 81/(2 x 3.14)

-12.89

Wave length λ = 2π/ k,

k = 5.4

λ = 2π/ 5.4

= 1.163 m

Phase velocity=w / k

= 81/5.4

15 m/s.

The wave is travelling in + ve x - direction.

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The volume of the solid immersed in the liquid is  5 x 10⁻⁵ m³.

The volume of the solid is calculated as follows;

V = (Ws - Wa) / (ρg)

where;

Ws = 0.2 kg x 9.8 m/s²

Ws = 1.96 N

Wa = 0.16 kg x 9.8 m/s²

Wa = 1.568 N

ρ = 0.8 x 1000 g/km³ = 800 kg/m³

The volume is calculated as;

V = (1.96 - 1.568 )/(800 x 9.8)

V = 5 x 10⁻⁵ m³

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Answer:

The focal length of the mirror is 10.4 cm.

Explanation:

So substitute the values of object distance and image distance in the mirror equation,

1/f = 1/(-18cm) + 1/(-25.0cm)

1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)

1/f = ( -25cm - 18cm)/(18cm x 25cm)

1/f = -43.0/450.0

f = -10.4651 cm.

The focal length of the mirror is approximately -10.4 cm.

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Energy is that which has the ability to cause change in matter.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

So in simple definition we can say that energy is that which has the ability to cause change in matter.

Based on the given statements we can classify them as;

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Answer:

Magnitude and Direction

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The right option is (c).

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Force is a vector quantity thats why it's depends upon both magnitude and direction.

If we replace the incandescent bulb with a voltage meter and return the loop to its original configuration, then moving the bar magnet back and forth through the loop will induce an electrical current in the loop, as described by Faraday's law of electromagnetic induction.

A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain other materials, such as iron or steel. The magnetic field is created by the motion of electric charges within the magnet, which align in such a way that they produce a net magnetic field. Magnets can be made from a variety of materials, including iron, cobalt, nickel, and certain alloys. They come in many different shapes and sizes, including bars, discs, horseshoes, and rings.

Here,

The type of current that is generated depends on the direction and rate of the magnet's motion. If the magnet is moved back and forth with a constant speed and in a straight line, the current induced in the loop will be an alternating current (AC), because the direction of the current will reverse every time the magnet changes direction. This can be observed by the voltage meter reading a voltage that periodically changes in direction.

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Answer:

Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow

Explanation:

its basiclly luquid, water vapor, and the form of clouds.

The ball that correctly relates the kinetic energy of a ball is;  Ball C

The kinetic energy of an object is the energy generated by an object in motion ( i.e. object whose speed is greater than zero )

and the formula for Kinetic energy = 1/2 mv^2 .

Ball B :

mass = 4kg , speed = 8 m/s . kinetic energy = 130 J

K.E = 1/2 ( 4 * 8^2 )

      = 128 J   ( 130 J ≠ 128 J ) ( does not correctly relate the kinetic energy

Ball C :

mass = 5 kg, speed = 8 m/s , kinetic energy = 160 J

K.E = \(1/2*\) \(( 5 * 8^2 )\)

      = 160 J  ( 160 J = 160 J )  ( correctly relates the kinetic energy )

Hence we can conclude that The ball that correctly relates the kinetic energy of a ball is;  Ball C.

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Answer:

b=c or b,c

Explanation:

Answer:

The right approach is "0.85 m".

Explanation:

According to the question, the diagram will is provided below.

So that as per the diagram,

The values will be:

My height,

AO = 1.70 m

My eyes at,

AB = 12 cm

i.e.,

     = 0.12 m

As we can see, the point of incidence lies between the feet as well as the eyes, then

BO = 1.58 m

Now,

⇒ \(O'D = \frac{1.58}{2}\)

           \(=0.79 \ m\)

The point of incidence of the ray will be:

⇒ \(CO'=1.70-\frac{0.12}{2}\)

           \(=1.70-0.06\)

           \(=1.64 \ m\)

Hence,

The smallest length of the mirror will be:

= \(CO'-O'D\)

On substituting the values, we get

= \(1.64-0.79\)

= \(0.85 \ m\)

yes it is boiling creating bubbles that aren't their originally

Explanation:

When cooking oils are subjected to heat in the presence of air and water (from food), such as in deep-fat frying and sautéing (pan frying), they can undergo at least three chemical changes: 1) oxidation of the fatty acids, 2) polymerization of the fatty acids, and 3) breaking apart of the triglyceride molecules into free fatty acids and glycerol by hydrolysis (reaction with water from the food being cooked) (Choe and Min 2007)

The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.

The work-energy theorem states that "the work done on an object is the change in its kinetic energy".

Hence;

Kinetic energy = work done

Note that: work-done is expressed as:

Work done = f × d

Where f is force applied and d is distance traveled.

Given that:

Force applied f = 5 newton

Distance d = 2 meters

Work done = ?

Plug these values into the above formula and solve for the workdone.

Work done = f × d

Work done = 5N × 2m

Work done = 10Nm

Work done = 10 Joules

Therefore, the kinetic energy is 10 Joules.

Option B) 10 J is the correct answer.

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Explanation:

Answer:

True. The two laws of thermal radiation state; 1) "Each square meter of a hotter object

Explanation:

Answer:

The Total Mechanical Energy

As already mentioned, the mechanical energy of an object can be the result of its motion (i.e., kinetic energy) and/or the result of its stored energy of position (i.e., potential energy). The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy.

Explanation:

Answer: E =  7,490.6 N/C

Explanation:

If we have a field E, and a particle with a charge q, the force that the particle experiences is:

F = E*q

In this case, we know that the force is:

F = 1.2*10^(-15) N

And we know that the particle is a proton, where the charge of a proton is:

q = 1.602*10^(-19) C

Then we can replace these two values in the equation to get:

1.2*10^(-15) N = E*1.602*10^(-19) C

We just need to isolate E.

(1.2*10^(-15) N)/(1.602*10^(-19) C) = E

7,490.6 N/C = E

That is the strength of the electric field.

He starts off evolved grieving earlier than he has been clearly outsourced.His emotions are associated to the loss that would possibly happen in future. His emotions are due to the response to the predicted loss.

Answer:

the laws of science or statements based on repeated experiments or observations that describe or predict a range of natural phenomena laws are developed from data and can be further developed through mathematics in all cases they are directly or indirectly based on empirical evidence