Answer:
a) KE = 888.26J
b) N = 294.5 turns
Explanation:
For the kinetic energy:
The inertia is:
So, the kinetic energy will be:
Now, friction force is:
Ff = μ*N = 0.80*5N = 4N
The energy balance would be:
Kf - Ko = Wf where Kf=0; Ko = 888.26J; and Wf is the work done by friction force.
Wf = -Ff*d = -Ff*N*2*π*R where N is the amount of turns it gives.
Replacing these values into the energy balance:
0-888.26=-4*N*2*π*0.12
-888.26=-0.96*π*N
N=294.5 turns
That's a weird graph, but judging from the units the acceleration is the slope of the graph.
a = (0.8 - 0.3)/(0.16 - 0.055) = 4.76 m/s²
Answer:
- Because the mass is also 6 times greater, so the acceleration is the same.
Explanation:
Force is mass multiplied by acceleration. This is (in one dimension):
Now, we can see what acceleration will every rock feel:
Lets call the force over the first rock, that has a mass , and lets call the force over the second rock, that has a mass . We can write the following equations:
and
.
We also know that:
, so:
.
But the mass is also six times greater.
so...
.
Now, lets obtain the acceleration. For the first rock we got:
and for the second rock
But this is the same acceleration that the first rock has! So, the kinematics will be the same.
Answer: 0.335 μC
Explanation:
The charge across the wire can be gotten by
Q = IT, where I is the current, and T is the time. Ω
Also, I = V/R, where V is the potential difference across the wire and R is the resistance of the wire.
R is also given as ρL/A, where A is πr²
Now, if we insert each of these formula in each other, we have
I = V/ [ρL/πr²]
I = V*π*r²/ρL
Q = V*π*r²*t / ρL so that
Q = [3*10^-9 * π * 0.002² * 3*10^-3] / [1.69*10^-8 * 0.02]
Q = [ 1.13*10^-16 ] / 3.38*10^-10
Q = 3.35*10^-7C
Q = 0.335 μC