Question

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1.mv2/2=f'h czyli m v kwadrat dzielone na 2 =f razy h i trzeba wyznaczyc v do kwadratu

2.mgh=mv2/2 czyli mgh=m v do kwadratu dzielone na 2 wyznacz h

3.mv2/2=p t czyli m v do kwadratu dzdielone na 2 =p razy t tu wyznaczamy m

4.mv2=mCw(T2-T1) CZYLI m v do kwadratu =m ciepło właściwe t2-t1 tu t2

5.mgh+mv2/2=mCwdeltaT czyli mgh +m v do kwadratu dzielone na 2 =m ciepło właściwe delta T . tu g

Answer 1

1.

mv^2/2 = Fh,  (v^2)

mv^2/2 = Fh   I*2

mv^2 = 2Fh   /:m

v^2 = 2Fh/m

============ 

[V^2] = [F] * [h]/[m] = kg *m/s2 *m/kg = m2/s2

 

2.

mgh = mv^2/2,  (h)

mgh  = mv^2/2  /:m

gh = v^2/2   I*2

2gh = v^2   /:2g

h = v^2/2g

==========

[h] = [v^2]/[g] = m2/s2/(m/s2) = m

 

3.

mv^2/2 = Pt,  (m)

mv^2/2 = Pt   I*2

mv^2 = 2Pt   /:v^2

m = 2Pt/v^2

============

[m] = [P] * [t]/[v^2] = kg*m/s2 *m/(m2/s2) = kg

 

4.

mv^2 = mCw(T2-T1),   (T2)

mv^2 = mCw(T2-T1)   /:m

Cw(T2-T1) = v^2

CwT2 - CwT1 = v^2

CwT2 = v^2 + CwT1   /:Cw

T2 = (v^2 + CwT1)/Cw

====================

[T] =([v^2]+[Cw] * [T])/[Cw] ={(m2/s2 +(J/kg*C )*C)}/(J/kgC) = 

((m2/s2 +(J/kgC)*C))/J(kgC0 =(m2kg+Js2)/(kgs2) * kgC/J =

=((m2kg+kg*m2/s2 *s2)/kgs2) * kgC/(kgm2/s2) =

kg*m2/(kgs2) * C/(m2/s2 = oC

 

5.

mgh + mv^2/2 = mwCdT,   (g)

mgh + mv^2/2 = mCwdT   /:m

gh + v^2/2 = CwdT   I*2

2gh  + v^2 = 2CwdT

2gh = 2CwdT - v^2    /:2h

g =(2CwdT - v^2)/2h

=================

[g] =([Cw] * [T] - [v^2])/[h] = ((J/kg*C *C) - m2/s2)/m =(J/kg - m2/s2)/m =

= J/kgm - m2/s2m = kgm2/s2/kgm - m/s2 = m/s2

Answer 2

1.

1/2 *mv² = Fh,   wyznaczamy v²

mv² = 2Fh  

v² = 2Fh/m

 

v² = kg*m/s² * m / kg = m²/s²

 

 

2.

mgh = 1/2 * mv²   wyznaczam y h

mgh  = 1/2 mv²  /:m

gh = 1/2 * v² 

h = v²/2g

 

h = m²/s² / (m/s²) = m²/m = m

 

3.

1/2 * mv² = Pt   wyznaczamy m

mv² = 2Pt  

m = 2Pt/v²

 

m =  J/s*s / (m²/s²) = kg*m²/s³*s  /  (m²/s²)  = kg

 

4.

mv² = m*c(w)*(t2-t1),    wyznaczamy t2

mv² = m*c(w)*(t2-t1),       /:m

v² = c(w)*(t2-t1)

v² = c(w)t2- c(w)t1

c(w)t2 = v² + c(w)t1

t2 = (v² + c(w)t1)/c(w)

 

t = {(m²/s² +(J/kg*C )*C)}/(J/kg*C) =

=(m²/s² + J/kg) / (J/kg*C) =

( m²/s² * kg*C/J + J/kg * kg*C/J = C + C = C

 

 

5.

mgh + 1/2*mv² = m*c(w)*Δt,   wyznaczamy g

mgh + 1/2*m*v² = m*c(w)*Δt   /:m

gh + 1/2*v² = c(w)*Δt  

2gh  + v² = 2c(w)*Δt

2gh = 2c(w)*Δt - v²   

g =(2c(w)*Δt - v²)/2h

 

g =((J/kg*C *C) - m²/s²)/m =(J/kg - m²/s²)/m =

= J/kg m - m2/s2m = (kgm2/s2)/kgm - m/s2 = m/s2- m/s² = m/s²