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ANEK [815]
3 years ago
9

An emu moving with constant acceleration covers the distance between two points that are 92 m

Physics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

a) V_{o}=14.30 m/s

b) a=-0.046 m/s^{2}

Explanation:

The complete question is written below:

An emu moving with constant acceleration covers the distance between two points that are 92 m  apart in 6.5s. Its speed as it passes the second point is 14 m/s. What are (a) its speed at the first point and (b) its acceleration?

Since we are talking about constant acceleration, we can use the following equations:

d=x-x_{o}=(\frac{V_{o}-V}{2})t (1)

V=V_{o}+at (2)

Where:

d=92 m is the distance between the two points

V_{o} is the velocity of the emu at the first point

V=14 m/s is the velocity of the emu at the second point

t=6.5 s is the time it takes to the emu to cover the distance d

a is the emu's constant acceleration

Knowing this, let's begin with the answers:

<h2>a) Speed at the first point</h2>

In this situation wi will use equation (1):

d=(\frac{V_{o}-V}{2})t (1)

Finding V_{o}:

V_{o}=\frac{2d}{t}-V (3)

V_{o}=\frac{2(92 m)}{6.5 s}-14 m/s (4)

V_{o}=14.30 m/s (5)

<h2>b) Emu's acceleration</h2>

Now we will substitute (5) in equation (2):

14 m/s=14.30 m/s+a(6.5 s) (6)

Finding a:

a=-0.046 m/s^{2} (7) This means the emu is decreasing its speed at a constant rate.

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The gage pressure is given by the equation,

P_{gage}=P_{abs}-P_{atm}.

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P_{gage}=18kPa-98 kPa=-80 kPa.

In kn/m^2,

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P_{gage}=-80kPa(\frac{1kN/m^2}{kPa}) =-80\ kN/m^2.

In lbf/in2

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An X-Ray tube is an evacuated glass tube, where the electrons are produced at one end and accelerated by a strong electric field
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Answer:

a) ΔV = 25.59 V, b)  ΔV = 25.59 V,  c)  v = 7 10⁴ m / s,  v/c= 2.33 10⁻⁴ ,

v/c% = 2.33 10⁻²

Explanation:

a) The speed they ask for electrons is much lower than the speed of light, so we don't need relativistic corrections, let's use the concepts of energy

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          Em₀ = U = e DV

final point. Where they hit the target

          Em_f = K = ½ m v2

energy is conserved

          Em₀ = Em_f

         e ΔV = ½ m v²

         ΔV = \frac{1}{2} mv²/e     (1)

If the speed of light is c and this is 100% then 1% is

         v = 1% c = c / 100

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         ΔV = \frac{1}{2}  \frac{9.1 \ 10^{-31} (3 10^6 )^2 }{ 1.6 10^{-19} }

         ΔV = 25.59 V

b) Ask for the potential difference for protons with the same kinetic energy as electrons

             K_e = K_p

              K_p = ½ m v_e²

              K_p = \frac{1}{2}  9.1 10⁻³¹ (3 10⁶)²

              K_p = 40.95 10⁻¹⁹ J

we substitute in equation 1

              ΔV = Kp / M

              ΔV = 40.95 10⁻¹⁹ / 1.6 10⁻¹⁹

              ΔV = 25.59 V

notice that these protons go much slower than electrons because their mass is greater

c) The speed of the protons is

             e ΔV = ½ M v²

             v² = 2 e ΔV / M

             v² = \frac{2 \ 1.6 \ 10^{-19} \ 25.59 }{1.67 \ 10^{-27} }

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Relation

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