Answer:
Resistance of gold wire, 
Explanation:
In this question we have given
Density of gold, 
resistivity of gold, 
Length of wire, 
Temperature, 
We know that relation between volume and density is given as

Therefore, volume occupied by one gram gold is given as,
.........(1)
We Know that Volume of gold wire which is cylindrical in shape is given by following formula
......(2)
Here,
...........(3)
here A is the cross sectional area of cylendrical gold wire
From equation 2 and 3
we got
...............(4)
on comparing equation 1 and equation 4, we got,



we know that resistance and resistivity are related by following formula,
................(5)
Put values of resistivity, A and L in equation 5, we got


Therefore resistance of gold wire, 
Answer:
ω = 10.75 rad/s
Explanation:
The stone leaves the circular path with a horizontal speed
v₀ = vt = R*ω
So
ω = v₀ / R
we are given that R = x / 25.7 so ω = 25.7*v₀ / x
Kinematics gives x = v₀*t
With this substitution for x the expression for ω becomes ω = 25.7 / t
Kinematics also gives for the vertical displacement y that
y = v₀y*t + 0.5*ay*t²
we know that v₀y = 0 m/s
since the stone is launched horizontally, so that
y = 0.5*ay*t² ⇒ t = √(2*y / ay)
Using this result for t in the expression for ω and assuming that upward is positive, we get
ω = 25.7 / √(2*y / ay)
⇒ ω = 25.7 / √(2*(-28) / (-9.8))
⇒ ω = 10.75 rad/s
Answer:
Electric force,
Explanation:
Given that,
Charge 1,
Charge 2,
Distance between charges, d = 2 km
The electric force is given by :
k is the electrostatic constant
F = 1294207.2 N
or
Hence, this is the required solution.
Answer:
Explanation:
What we are basically looking for here is how long it takes the first stone to hit the water. We have everything we need to figure that out. We will use the equation
Δx = . Filling in, we will solve for t, the time is takes the first stone to hit the water (which is the same for both since they both hit the water at the same time):
which is a quadratic that we will have to factor. Get it into standard form, setting it equal to 0:
and factor to get that
t = 3.2 s and t = -2.8 s
Since time can't ever be negative, it takes 3.2 s for the stones to hit the water.