Answer:
) the uniform disk has a lower moment of inertia and arrives first.
Explanation:
(a) the uniform disk has a lower moment of inertia and arrives first.
(b) Let's say the disk has mass m and radius r, and
the hoop has mass M and radius R.
disk: initial E = PE = mgh
I = ½mr², so KE = ½mv² + ½Iω² = ½mv² + ½(½mr²)(v/r)² = (3/4)mv² = mgh
m cancels, leaving v² = 4gh / 3
hoop: initial E = Mgh
I = MR², so KE = ½MV² + ½(MR²)(V/R)² = MV² = Mgh
M cancels, leaving V² = gh
Vdisk = √(4gh/3) > Vhoop = √(gh)
Answer:

so each bulb brightness becomes half of its given or indicated power

so both bulb will glow same power as indicated
Explanation:
Let the indicated power on the bulbs is given as P and its rated voltage is V
so here resistance of each bulb is given as

now if the two bulbs are connected in series so we will have


now the current in the circuit is given as


now brightness of each bulb is given as


so each bulb brightness becomes half of its given or indicated power
Now if the two bulbs are connected in parallel
then the net voltage across each bulb is "V"
so we will have

so both bulb will glow same power as indicated
Answer: hello some part of your question is missing attached below is the missing detail
answer :
<em>w</em>f = M( v cos∅ )D / I
Explanation:
The Angular speed <em>wf </em>of the system after collision in terms of the system parameters and I can be expressed as
considering angular momentum conservation
Li = Lf
M( v cos∅ ) D = ( ML^2 / 3 + mD^2 ) <em>w</em>f
where ; ( ML^2 / 3 + mD^2 ) = I ( Inertia )
In terms of system parameters and I
<em>w</em>f = M( v cos∅ )D / I
Answer:
Approximately
assuming no heat exchange between the mixture and the surroundings.
Explanation:
Consider an object of specific heat capacity
and mass
. Increasing the temperature of this object by
would require
.
Look up the specific heat of water:
.
It is given that the mass of the water in this mixture is
.
Temperature change of the water:
.
Thus, the water in this mixture would have absorbed :
.
Thus, the energy that water absorbed was:
.
Assuming that there was no heat exchange between the mixture and its surroundings. The energy that the water in this mixture absorbed,
, would be the opposite of the energy that the metal in this mixture released.
Thus:
(negative because the metal in this mixture released energy rather than absorbing energy.)
Mass of the metal in this mixture:
.
Temperature change of the metal in this mixture:
.
Rearrange the equation
to obtain an expression for the specific heat capacity:
. The (average) specific heat capacity of the metal pieces in this mixture would be:
.