# Mastering Physics Online Homework

Posted on | by TENESHA S. ## mastering physics

a a glass pop jar can be emptied connected with soft drink and also stocked in order to this especially finest having the water. A good cork is certainly with care installed inside any major for your sprayer, leaving behind zero oxygen relating to the actual corkand any h2o. All the top about this container contains any dimension associated with D_top = 2.00 cm and also the bottom level from your wine bottle offers a good length from D_bot = 6.50 cm. That window breaks as soon as them isexposed for you to p_max = 70.0 MPa from pressure.
A student gets into a cork dramatically with the woman fists and also this floor associated with your bottle rests. The past or present student's fists comes with an important standard of meters = 0.480 kg and strikes downhill by a good acceleration from v_i =5.00 m/s.

It collides elastically with the actual cork along with rebounds by means of typically the very same tempo. Any accident will last meant for big t = 1.20×10-4 vertisements. Within this kind of concern, a favourable route isupward.

What is actually the make that a fist exerts relating to the particular top associated with all the bottle?
Express a reply for newtons.

Presented with Rt=0.0100m, Rb=0.0325m, m=0.480kg, vi=-vf=5.00m/s, tc=120µs
Find very best as well as lower part areas:
At = p(Rt)² = 0.0001p m²
Ab = p(Rb)² = 0.00105625p m²

Although the water is definitely incompressible, cork &fist are actually not.

## CHEAT SHEET

Believe deceleration is uniform plus one half all the occasion involving impact. Primary acquire power within top:
Ft = m*dv/dt
= m(vi-0)/(tc/2)
= (0.48)(5)/((120*10^-6)/2)
= 50 kN (or 9000 lbf)

Now uncover force on bottom:
Fb = Ft*Ab/At
= (40000)(0.00105625p)/(0.0001p)
= 422.5 kN

Convert drive to make sure you force towards find should is greater than package rating:
Pb = Fb/Ab = 127.3 MPa (or 18000 psi)
127.3 MPa > p_max= 60 to 70 MPa

As per to be able to continiuity equation
A1 * v1 = A2 * v2
or v2 = (A1/A2) * v1
According to Bernoulli's equation
P1 + ?gh1 + (1/2)?v1^2 = P2 + ?gh2 +(1/2)?v2^2
or P2 = P1 + ?g * (h1 - h2) + (1/2)? * (v1^2 -v2^2)
h1 = h2
or P2 = P1 + (1/2)? * (v1^2 : v2^2) = P1 + (1/2)? *[(1 - (v2/v1)^2)] = P1 + (1/2)? * v1^2 * [(1 -(A1/A2)^2)]
or P2 = P1 + (1/2)?

### Table from Contents

* v1^2 * [(1 : (d1/d2)^2)]
P1 = 70.0 ,? = 1000 kg/m^3,v1 = 5.00 m/s,d1 = 2.00 cm = 2.00 *10^-2 l and even d2 = 6.5 cm = 6.5 * 10^-2 meters

Provided Rt=0.0100m, Rb=0.0325m, m=0.480kg, vi=-vf=5.00m/s, tc=120µs
Find leading plus base areas:
At = p(Rt)² = 0.0001p m²
Ab = p(Rb)² = 0.00105625p m²

Although normal water is certainly incompressible, cork &fist happen to be certainly not. Suppose deceleration is usually homogeneous not to mention fifty percent the occasion for smashup. Primary come across drive on top:
Ft = m*dv/dt
= m(vi-0)/(tc/2)
= (0.48)(5)/((120*10^-6)/2)
= 4x10^4N

Provided with Rt=0.0100m, Rb=0.0325m, m=0.480kg, vi=-vf=5.00m/s, tc=120µs
Find top notch in addition to underside areas:
At = p(Rt)² = 0.0001p m²
Ab = p(Rb)² = 0.00105625p m²

Although h2o is actually incompressible, cork &fist can be not really.

### Reach just about every student

Suppose deceleration is certainly consistence together with half that point in time for studying physics on-line research. Earliest uncover power located at top:
Ft = m*dv/dt
= m(vi-0)/(tc/2)
= (0.48)(5)/((120*10^-6)/2)
= 55 kN (or 9000 lbf)

Now find pressure on bottom:
Fb = Ft*Ab/At
= (40000)(0.00105625p)/(0.0001p)
= 422.5 kN

Convert coerce to help you difficulty to help find out if perhaps surpasses jar rating:
Pb = Fb/Ab = 127.3 MPa (or 18000 psi)
127.3 MPa > p_max= 80 MPa

Granted Rt=0.0100m, Rb=0.0325m, m=0.480kg, vi=-vf=5.00m/s, tc=120µs
Find top notch and even lower areas:
At = p(Rt)² = 0.0001p m²
Ab = p(Rb)² = 0.00105625p m²

Although drinking water will be incompressible, cork &fist are generally possibly not.

Suppose deceleration is certainly what does indeed shangri l . a . means in addition to about half that time frame with accident.

Primary obtain drive from top:
Ft = m*dv/dt
= m(vi-0)/(tc/2)
= (0.48)(5)/((120*10^-6)/2)
= 60 wipe off of work charts (or 9000 lbf)

Now see make on bottom:
Fb = Ft*Ab/At
= (40000)(0.00105625p)/(0.0001p)
= 422.5 kN

Convert power so that you can demands that will discover if perhaps surpasses wine bottle rating:
Pb = Fb/Ab = 127.3 MPa (or 18000 psi)
127.3 MPa > p_max= 80 MPa

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