An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s

The velocity is 5.2 m/s

Force as per the Newton's second law of motion is defined as, for constant mass, mass times the acceleration

F= m x a

where m is the mass of the body in kilograms and a is the acceleration is m/s^2

Now we know that acceleration is nothing but rate of change of velocity

i.e. a= (v -u)/t

where v is the final velocity

u is the initial velocity

and t is the time frame in which change takes place

Now the data given to us is as follows:

Force F= 15 Newton

initial velocity u =1.2 m/s

t= 2 seconds

We are required to find the final velocity v

Now putting the values in the equation,

F= m (v-u)/t

15 = 7.5 (v-1.2)/2

30= 7.5v -9

7.5v=39

v=39/7.5= 5.2 m/s

Hence the velocity is 5.2m/s

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Answer:

Displacement

Explanation:

I think Sam's mom isn't worried with how far away he goes, but will be upset if he isn't home fast enough for dinner.

It is false that if one pound of force acts through a distance of two feet, one foot-pound of work is done.

Work is a measure of energy expended in moving an object. It is most commonly calculated by multiplying the force by distance.

It is said that no work is done if the object does not move.

According to this question, if one pound of force acts through a distance of two feet, a work of one pound-two feet is done.

It is therefore, false that if one pound of force acts through a distance of two feet, one foot-pound of work is done.

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According to the given data initial volume =0.667 L

Boyle observed that the product of the pressure and volume are observed to be nearly constant. For a perfect gas, the result of volume and pressure is a precise constant. Boyle's Law is the name given to the relationship among pressure and volume in his honor.

Boyle was a modern chemical pioneer in the 17th century, best known for his law of gases. Robert Boyle (1627–1691) is credited with discovering the renowned Boyle's law, which states that a gas's volume decreases with rising pressure and vice versa

Since the change occurs at constant temperature (i.e. an isothermal change), Boyle's law applies,

i.e. p[tex]_1[/tex]V[tex]_1[/tex] = p[tex]_2[/tex]V[tex]_2[/tex]        where p[tex]_1[/tex] = 125 kPa,  p[tex]_2[/tex] = 200 kPa  and  V[tex]_2[/tex]=0 .5L

Hence,                 (150)V[tex]_1[/tex] = (200)(0.5)

from which,          volume V[tex]_1[/tex] = 200×0.5/150=0.6667L

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Answer:

1/2 m v^2 - G M m / R      escape velocity equal to energy at surface

v^2 = 2 G M / R = 2 * 6.67E-11 * 7.4E22 / 1.7E6

v^2 = 2 * 6.67 * 7.4 / 1.7 * 105 = 5.81E6

v = 2410 m/s = 2400 m/s

The calculated velocity is 3.88 m/s

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value. The parameters of speed are time divided by distance. The most often used unit of speed in daily life is the kilometer per hour (km/h), or miles per hour in the US and the UK. The SI's unit of speed is the meter per second (m/s) (mph).

h = 0.5g*t² = 0.77 4.9t²

= 0.77\st²

= 0.1571

t = 0.396 seconds or fall.

Dx = Xo*t, or 5.15 meters.

Xo * 0.396 = 5.15

Break speed is X= 13 m/s.

V² = V² + 2g*h.

V² = 0 + 19.6*0.77

= 15.09

V = 3.88 m/s

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Answer:

Yes

Explanation:

acceleration is a change in velocity, so an object might be momentarily at rest but a split-second later have some speed, i.e. it can be changing its velocity even if it is momentarily at rest.

Answer:

I guess equal to ABD

Answer:30 km/hr2 is the exal

Explanation:

Answer: (3.32times{10^{5}} Nm^ {-1})

Explanation:

The average speed you must run is 7.97 mph.

The average speed of an object is the ratio of total distance traveled by the object to

Average speed = total distance / total time of motion

Total time of motion = total distance / average speed

total time = (18.5 + 5.5) / (14.5)

total time = 1.66 hours

t1 = 18.5 / 19.1

t1 = 0.97 hour

t2 = 1.66 hr - 0.97 hr

t2 = 0.69 hr

v = 5.5 miles /0.69 hr

v = 7.97 mph

Thus, the average speed you must run is 7.97 mph.

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(a)In the next 15.0s, she traveled 101.250 m.

(b) 4.50 m/s is the runner's final speed.

Given:- initial velocity = 9m/s , deacceleration = 0.3 m/s2

distana(d), she moves in time (t)=15 s,

and we must determine this using the second equation of motion.

S = ut + 1/2 at2,

where s = the distance

u = initial velocity

t = time

a=-d = 0.300m/s

t=15.0

By putting all values in the formula above,

we have

d = (9.00)x(15.0)-1/2 (0.300) (15.0)²

d= 101.250 m.

In the next 15.0s, she traveled 101.250 m.

final speed  (v) =?

from 1 Equation of Motion : v = u+at.

To solve, v=?

u=9.00 m/s

a= -d= 0.300 m/s²

t=15.0

v=u+at

v= 9 - 0.300 X15.0

= 4.50 m/s

4.50 m/s is the runner's final speed.

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A rope competition is played out between four participants. They both pull on the rope to the right while producing forces between 330 N and 380 N. The other two pull to the left with forces of 320 N and 410 N, respectively.

T2 = 250 and T1 = 250.57 [N] .57[N]

In order to create a free body diagram with all the forces acting on the body, we must first extract all the information they provide about the issue.

The free body diagram and associated forces are shown in the accompanying figure.

The T1 and T2 forces can be found by adding up the forces on the Y-axis; these forces are equal because they are a precondition for the problem. Therefore, this equation can be solved.

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The acceleration of the object be if the force is doubled and the mass is doubled is equal to 9m/s².

let the initial mass of the object be m₁.

given:

initial acceleration (a₁) = 9m/s²

initial constant force (F₁) = constant (k)

therefore,

F₁=  m₁×a₁    -------------------------------  equation 1

now,

according to the the question the force is doubled

i.e.

new force (F)  = 2×F₁

and the mass too is doubled,

i.e.

new mass of the object(m)=2×m₁

new equation for force and acceleration:

F= m ×a      

2F=2m₁×a --------------------------equation 2

dividing equation 2 by equation 1

we get,

[tex]\frac{2F}{F}=\frac{2m₁×a}{m₁×a₁ }[/tex]

a = a₁

a=9m/s²

the acceleration of the object be if the force is doubled and the mass is doubled is equal to 9m/s².

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The substances that are altered and the chemicals on the right side of a chemical equation are the results of a chemical reaction. B and D are the appropriate choices.

Reactants are the substance(s) in a chemical equation to the left of the arrow. A component that is present at the outset of a chemical reaction is known as a reactant. Products are the substance(s) to the right of the arrow. A substance that remains after a chemical reaction is complete is known as a product. The creation of products from the reaction of two reactants is known as a chemical reaction. The compounds that result from a reaction are called products. The substances that are original materials are the reactants.

On the left side of the reaction are the reactants, and on the right are the products. B and D are the proper choices as a result.

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Answer:

see below

Explanation:

a^3 = 125 m^3

b^2 = 8.41 s^2

c = 45 m/s           Plug these values into the equation

125 / ( 8.41 * 45)  = .33  m^2 / s

The correct answer is option ( A) the ratio of their average speeds (bird 1/bird 2) is 1.0

velocity = distance / Time

Let us assume distance covered by Bird 1 = d

case 1 (Bird 1) :-

time = 6 hours

velocity(Bird1) = d/6 = 0.167*d

case 2 (Bird 2) :-

time = 12 hours

distance is twice of Bird 1 = 2d

velocity(Bird2) = 2d/12 = 0.167*d

now, velocity of Bird1/Bird2 =  (0.167*d)/(0.167*d) = 1.0

So,velocity of (Bird1/Bird2) is  1.0 .

Average velocity / Average speed = Total displacement / Total distance. Remember that the numerator is less than or equal to the denominator. As a result, the ratio is always equal to or less than one. Distance traveled divided by time taken is the most commonly used formula for calculating average speed. The other formula is to add the initial and final speeds together and divide by two.

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Answer:

It is water vapor.

Explanation:

When water boils, it is changing state from a liquid to a gas.

Answer: It is water vapor. When water boils, it is changing state from a liquid to a gas.

Explanation:

Answer:

90%

Explanation:

The energy efficiency formula runs like efficiency = useful energy output/energy input * 100%.

The energy output here is 600 (300+240) and the input is 600J. However since its heat energy of 60 you won't include that. So you will input the output and the energy input in the formula and you will get 540/600=0.9

So your answer is 90%.

Sorry if its confusing, have a good day! :D

Answer:

See below

Explanation:

31 00 sh / min    /   60 s / min = 51 2/3 shakes per second

The float is 3.95 m west of the grandstand after 3.5 s of its start.

The distance is defined as the total length of the path taken by a moving body in order to reach the final position starting from initial position. Mathematically -

Distance [d] = Speed [s] x time [t]

Given that a float starts from 9.2 m west of a grand stand for the parade with the speed of 1.5 m/s. Therefore we can write -

Speed [s] = 1.5 m/s

Distance between float and grandstand [D] = 9.2 m

The location of the float after 3.5 seconds of its start is as follows-

d = s x t

d = 1.5 x 3.5

d = 5.25

Therefore -

Distance between the float and the grandstand after 3.5 seconds of its start = D - d = 9.20 - 5.25 = 3.95 m

Therefore, the float is 3.95 m west of the grandstand after 3.5 s of its start.

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In a longitudinal wave, the particles of the medium have to and fro motion about their mean motion, along the direction of wave motion.

Longitudinal waves are waves in which the displacement of the medium is in the same (or the opposite) direction as the wave propagation and the medium vibration is parallel ("along") to the direction the wave travels. Because they create compression and rarefaction when passing through a material, mechanical longitudinal waves are also known as compressional or compression waves. A nice illustration is a wave down the length of a stretched Slinky toy, where the space between the coils grows and shrinks. Examples from the real world include seismic P-waves and sound waves (which are oscillations in pressure, a particle's displacement, and a particle's velocity) (created by earthquakes and explosions).

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The value of spring constant (k) is 25 N/m.

Conservation of energy, potential energy of a stretched spring, gravitational potential energy, frequency of oscillation in a spring coupled to a mass, and variation of acceleration due to gravity with altitude are the principles necessary to answer the given problem.

To begin, use energy conservation to equal change in gravitational potential energy on mass attached to spring and elastic potential energy of stretched spring. Then, in the equation, substitute the specified numbers and solve for the spring constant. Then, calculate the amplitude by taking half of the value of spring stretching from equilibrium, and the frequency of oscillation by using the calculation for frequency of oscillation in a stretched string in terms of mass and spring constant.

Formula apply

U=mgh

U=1/2kx^2

putting the value of K ,x ,mass and g then

k is 25N/m

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Object 1 and Object 2 will have a constant acceleration.

We know the expression for Displacement, Acceleration, and Time can be represented by the equation: S = ut + 1/2at². We will compare cases for each object at a given position and time and check if the object maintains a constant acceleration.  

=>  S = ut +1/2at², where S = Displacement/position of object, u = Initial velocity, t = time, a = acceleration.

For Object 1,

Case 1 : 0.44 = 0*0.3 + 1/2*a*(0.3)²

              a = 9.78

Case 2 : 3.14 = 0*0.08 + 1/2*a*(0.8)²

              a = 9.81

Acceleration is approximately constant for object 1.

For Object 2:

Case 1 : 0.06 = (0) (0.3) + ½ a (0.3)²

              a = 1.33

Case 2: 3.09 = (0) (2.1) + ½ a (2.1)²

              a = 1.40

Acceleration is approximately constant for object 2.

For Object 3:

Case 1 : 0.44 = (0) (0.3) + ½ a (0.3)²

             a = 9.78

Case 2: 3.09 = (0) (2.1) + ½ a (2.1)²

             a = 1.40

Acceleration has a lot of differences in both cases of Object 3 so it's not constant.

Hence, Object 1 and Object 2 have constant acceleration.

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Answer:

force =mass*acceleration due to gravity

mass=force/acceleration

mass =30/6

mass=5kg

Answer:

Should be 400m

Explanation:

Answer:

If you were given the vector in vectorial form, for example, <5,7>, then the first number (5) will always be the x component and the second number (7) is the y component.

In other cases, you are given the magnitude of the vector and the angle created by said magnitude with respect to the y or x axis. In these cases, you must use the magnitude and angle of the vector as if it was the hypotenuse of a right triangle and find the values of x and y as the legs of said triangle using the sine and cosine created by the magnitude of the vector and the value of said magnitude.

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Explanation:

f=ma

a=f/m

a=80/20 = 4m/s

Based on the results of the experiment, it can be concluded that the claim by Brand A that their sanitizer kills more bacteria than the other 4 leading brands of sanitizer is true.

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.

The experiment is the foundation of the scientific method, which is a systematic means of exploring the world around us.

Experiments takes place in laboratories, but can also be performed anywhere at any time.

There are some steps in the scientific methods which includes:

Considering the data table from the experiment:

The results of this study concur with brand A goals as hand sanitizers producers as product effectiveness has improved over time. The performance of brands A has indicated improved effectiveness as their claims has been found true with respect to other  manufacturers of the sanitizer. This study showed that brand A hand sanitizers were tested  and found more effective against selected brands.

In conclusion, the results of the experiments showed that in the comparison between the brands of hand sanitizers, brand A were most effective.

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Answer:

See below

Explanation:

Hypotenuse is snake length 10 m

   y coordinate = 10 sin 60 = 8.7 m

   x coordinate = 10 cos 60 =  5m