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photoshop1234 [79]
1 year ago
10

Pions have a half-life of 1.8 x 10^-8 s. A pion beam leaves an accelerator at a speed of 0.8c. What is the expected distance ove

r which half the pions should decay?
Physics
1 answer:
Nuetrik [128]1 year ago
5 0

Answer:

the expected distance is 4.32 m

Explanation:

given data

half life time = 1.8 × 10^{-8} s

speed = 0.8 c = 0.8 × 3 × 10^{8}

to find out

expected distance over

solution

we know c is speed of light in air is 3 × 10^{8} m/s

we calculate expected distance by given formula that is

expected distance = half life time × speed   .........1

put here all these value

expected distance = half life time × speed

expected distance = 1.8 × 10^{-8} ×  0.8 × 3 × 10^{8}

expected distance = 4.32

so the expected distance is 4.32 m

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Ilya and Anya each can run at a speed of 8.90mph and walk at a speed of 3.80mph . They set off together on a route of length 5.0
jekas [21]

Answer:

a) t = 56.34 minutes

b) v = 5.32mph

c) t = 47.22 minutes

d) v = 6.35 mph

Explanation:

Given;

The speed of Ilya and Anya are

Run = 8.90mph

Walk = 3.80mph

distance = 5.00 miles

a) anya walk half the distance and run half the distance.

Speed = distance/time

time = distance/speed

t1 = 5×0.5/3.80 = 0.658hr

t2 = 5×0.5/8.90 = 0.281hr

t = t1 + t2 = 0.658+0.281 = 0.939hr × 60minutes/hr

t = 56.34 minutes

b) average speed = total distance/total time taken

v = 5.00miles/0.939hr = 5.32mph

c) Ilya walk half the time and run half the time.

t1 = t2 = t/2

Distance = speed × time

Substituting the values.

5 = 3.80(t/2) + 8.90(t/2)

5 = 12.70(t/2)

t = 10/12.70

t = 0.787 hr × 60 minutes/hr

t = 47.22 minutes

d) average speed = 5miles/0.787hr

v = 6.35 mph

5 0
1 year ago
Which of the following is the condition that exists when the frequency of the force applied to a system matches the natural freq
Tpy6a [65]

Answer:

Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency.

Explanation:

3 0
1 year ago
The area of each plate of a parallel plate capacitor is 0.021 m2. The plates are 2.75 mm apart with a dielectric material (κ = 3
VARVARA [1.3K]

Explanation:

The given data is as follows.

        Dielectric constant, K = 3.0

   Area of the plates (A) = 0.021 m^{2}

   Distance between plates (d) = 2.75 \times 10^{-3} m

  Maximum electric field (E) = 3.25 \times 10^{5} V/m

Now, we will calculate the capacitance as follows.

             C = \frac{k \epsilon_{o} \times A}{d}

                 = \frac{3.0 \times 8.85 \times 10^{-12} \times 0.021}{2.75 \times 10^{-3}}

                 = \frac{0.55755 \times 10^{-12}}{2.75 \times 10^{-3}}

                 = 0.203 \times 10^{-9} F

Formula to calculate electric charge is as follows.

               E = \frac{\sigma}{k \epsilon_{o}}

or,           Q = E \times k \times \epsilon_{o}A      (as \frac{\sigma}{\epsilon_{o}} = \frac{Q}{A})

                   = 3.25 \times 10^{5} \times 3.0 \times 8.85 \times 10^{-12} \times 0.021

                   = 181.2 \times 10^{-9} C

Formula to calculate the energy is as follows.

                  U = \frac{1 \times Q^{2}}{2 \times C}

                     = \frac{(181.2 \times 10^{-9} C)^{2}}{2 \times 1.6691 \times 10^{-9}}

                     = \frac{32833.44 \times 10^{-18}}{3.3382 \times 10^{-9}}

                     = 9835.67 \times 10^{-9}

or,                  = 98.35 \times 10^{-7} J

Thus, we can conclude that the maximum energy that can be stored in the capacitor is 98.35 \times 10^{-7} J.

5 0
1 year ago
You did 150 joules of work lifting a 120-newton backpack.
NNADVOKAT [17]
In the given question, we already know
Work done = 150 joules
Force = 120 Newton
Now we know from the study of physics that
Distance (D) = Work done / Force
(a) To find the height upto which the backpack has been lifted,
D = Work done / Force
   = 150 / 120
   = 15 / 12
   = 5 / 4
   = 1.25
So the backpack was lifted to a height of 1.25 metres.
(b) Now we have the find the weight of the backpack in pounds
We know that 1 pound = 4.448 Newton
So if
4.448 Newton = 1 pound
Then
120 Newton = (120 / 4.448) pounds
                   = 26.978 pounds
So the backpack weighed 26.98 pounds.
5 0
1 year ago
Un cubo de hielo de 80 g de masa y a una temperatura de –10 oC se deja caer dentro de un vaso de agua a 0 oC. Si no hay intercam
il63 [147K]

Answer:

the answer is 187

Explanation:

7 0
1 year ago
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