The ratio of output power yo input power, in percent, is called

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Answer 1

Answer: The ratio of output power to input power for a machine is called the machine's efficiency. It doesn't have to be expressed in percent.

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An electromagnetic wave is composed of electrical and magnetic energy. true or false

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it is false it is a metle core

a car accelerates for 5 seconds at 2.1 m/s squared if the car intentionally has a speed of 10 m/s what is its new speed

Answers

Answer:

final velocity will be

$v_f = 20.5 m/s$

Explanation:

As we know that initial speed of the car will be

$v_i = 10 m/s$

acceleration of the car is

$a = 2.1 m/s^2$

time taken is

$t = 5 s$

now we know that

$v_f = v_i + at$

$v_f = 10 + (2.1* 5)$

$v_f = 10 + 10.5 = 20.5 m/s$

Hey - for this problem you will find out your new velocity (similar to speed)

You take your Initial Velocity and add to it all the gained velocity you get during this process (which is the Acceleration multiplied by the amount of Time you are accelerating for)

So we get (Final Velocity) = (Initial Velocity) + (Time)(Acceleration)

In your equations, thats (Final Velocity) = (10 meters/second) + (5 seconds)(2.1 meters/second/second)

Which is 10 + 10.2 = 20.2 meters/second

A thin spherical glass shell in air is filled with an unknown liquid. A horizontal parallel light beam is incident on the shell and it is observed that the light is brought to focus on the surface of the shell directly opposite of the incoming beam. What is the refractive index of the liquid?ie. the answer is 2- I just don't know how they got there

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I have the exact same question, any chance you figured it out since you posted this?

A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x)=−αx2+βx3, where α=2.00J/m2 and β=0.300J/m3. The object is released from rest at small x. When the object is at x = 4.00 m, what are its (a) speed and (b) acceleration (magnitude and direction)? (c) What is the maximum value of x reached by the object during its motion?

Answers

The conservation of mechanical energy allows to find the results for the questions of the motion of mass in a conservative force are;

a) the velocity at x = 4 m is: v = 16.9 m / s

b) The acceleration at x = 4m is: a = 17.8 m / s²

c) The maximum elongations is: x = 6.67 m

Given parameters

The potential energy U = - α x² + β x³ with α= 2 j/m² and β= 0.3 j/m³

The mass of the body m = 0.0900 kg

The distance x = 4.00 m

To find

a) The speed

b) The acceleration

c) The maximum value of the distance

The conservation of mechanical energy is one of the most important concepts in physics, stable that if there is not friction the mechanical energy remains constant at all points.

Em = K + U

Where Em mechanical energy, K the kinetical energy ang U the potential energy.

a) Let's find the velocity using the conservation of mechanical energy

Starting point. Where the mass is released.

Em₀ = U (0)

Final point. When for a distance of x = 4 m here we have potential and kinetic energy.

$Em_f$ = K + U (4)

They indicate that the only force is conservative, therefore mechanicalenergy is conserved

Em₀ = $Em_f$

0 = ½ m v² + U (4)

½ m v² = -U (4)

v² = 2 / m (αx² - β x³)

Let's calculate

v² = $(2)/(0.09)$ (2 4² - 0.3 4³)

v = $√(284.44)$

v = 16.9 m / s

b) Acceleration is requested at this point.

We use that potential energy and force are related

F = $- ( dU)/(dx)$

We carry out the derivatives

F = 2αx - 3βx²

Let's calculate

F = 2 2 4 - 3 0.3 4²

F = 1.6 N

Now we use Newton's second law that relates the net force with the product of the mass and the acceleration of the body.

F = ma

a = $(F)/(m)$

a = $(1.6)/(0.09)$

a = 17.8 m / s²

c) At maximum displacement.

Let's use conservation of mechanical energy

Starting point. Where x = 0 is released

Emo = U (0) = 0

Final point. Point of maximum elongation, kinetic energy is zero

$Em_f$ = U (xmax)

Energy is conserved

Em₀ = $Em_f$

$0 = U(x_(max))$

-αx² + βx³ = 0

x² (-α + βx) = 0

the solutions of this equation is:

x = 0

-α + βx = 0

x = $(\alpha)/(\beta )$

Let's calculate

x = $(2)/(0.3)$

x = 6.67 m

In conclusion using the conservation of mechanical energy we can find the results for the questions of the motion of mass in a conservative force are;

a) the velocity at x = 4 m is: v = 16.9 m / s

b) The acceleration at x = 4m is: a = 17.8 m / s²

c) The maximum elongations is: x = 6.67 m

Learn more here: brainly.com/question/2615468

Answer:

a) v= 284.44 $(m)/(s^(2))$

b) a=17.78 $(m)/(s^(2) )$

c) x=6.67m

Explanation:

a).

$U(x)=-\alpha *x^(2) +\beta*x^(3)\n\alpha=2(J)/(m^(2))\n\beta=0.3(J)/(m^(2))\nU(0)+V(0)=U(4)+V(4)\nU(0)=-\alpha *0^(2) +\beta*0^(3)=0\nU(0)=0\nV(0)=0\n0=U(4)+V(4)\nU(4)=-\alpha *4^(2) +\beta*4^(3)\nU(4)=-2*4^(2)+0.3*(4^(3))\nU(4)=-12.8 J\n0=-12.8J+V(4)\n12.8=(1)/(2)*m*(v_(4))^(2) \n v_(4)^(2) =(2*12.8J)/(0.09kg)\n v_(4)^(2)=284.44$

$v_(4)=√(284.44)\nv_(4)=16.8 (m)/(s)$

b).

$F_(x)=(dU)/(dt)\nF_(x)=2*\alpha*x-3*\beta *x^(2) \nF_(4)=2*2*4-3*0.3*(4)^(2)\nF_(4)=1.6N\nF_(4)=m*a\na=(F_(4))/(m)=(1.6N)/(0.09kg)\na=17.7 (m)/(s^(2) )$

c).

$F_(x)=m*ax\nax=(F_(x))/(m) \nax=(4x-0.9x^(2))/(0.09kg)\n(dVx)/(dt)= (4x-0.9x^(2))/(0.09kg)\n\int\limits^x_x {(1)/(0.09)*(4x-0.9x^(2)) } \, dx\n (Vx^(2) )/(2)=22.2x^(2) -3.3x^(3)$

Value x,0

$Vx^(2) =44.4x^(2) -6.6x^(3)\n Vx=\sqrt{44.4x^(2) -6.6x^(3)}$

Inside the square root is the value of maximum value of x

$44.4x^(2) -6.6x^(3)=0\nx^(2)(44.4-6.6x)=0\n x=0$ but that value is not real so:

$44.4-6.6x=0\n6.6x=44.4\nx=(44.4)/(6.6)\n x=6.67m$

One proven risk of GM crop is?a. the escape of GM genes into non-GM crops.
b. the risk of cancer associated with eating GM food.
c. increased resistance of insects to pesticides because of the pesticides resistance of GM crops.
d. the loss of consumer support.

Answers

The only answer can be a. The escape of GM genes into non-GM crops. There is no evidence supporting that genetically modified crops cause mutation into cancer in the consumer. GM crops are altered not to be resistant to pesticides, but to be resistant to the best themselves, eliminating the need for spray on pesticides which the organisms might become accustomed to. The only reason why consumer support may be lost is due to myths and people who cause a fuss about genetically modified produce. There is no scientific evidence that the crops have negative effects. There is an idea of conservation related to harlume crops, because GM crops will be the dominant DNA should the plants breed which is why the answer is A.

What's the value of 57,281 joules in Btu

Answers

54.3 BTU is what I got

54.291912

I hope this helps :)

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