The amount of gold atoms could be calculated by dividing the
total weight of the gold with the mass of a single gold atom. Just convert the
given weight to grams then divide it with 3.27x10^-22 grams. The answer would
be 7.22x10^20.
Hi there!
We can use the following kinematic equation:

vf = final velocity (? m/s)
vi = intial velocity (0 m/s)
a = acceleration (5 m/s²)
d = displacement (8 m)
Plug in the givens and solve.

Answer:
a) 
b) 
Explanation:
From the question we are told that:
Velocity of eagle 
Frequency of eagle 
Velocity of Black bird 
Speed of sound 
a)
Generally the equation for Frequency is mathematically given by



b)
Generally the equation for Frequency is mathematically given by



In order to solve this problem, we will first need to find the electric field at the origin without the 3rd charge
E1 = (9x10^9)(13.4x10^-9)/(9.4x10^-2)^2 = 13648.7 V/m towards the negative y-axis
E2 = (9x10^9)(4.23x10^-9)/(4.99x10^-2)^2 = 15289.1 V/m towards the positive x-axis
The red arrow shows the direction of which the electric field points.
To make the electric field at the origin 0, we must find a location where q3 = the magnitude of q1 and q2
Etotal = sqrt(E1+E2) = 20494.97 V/m
E3 = 20494.97 = (9x10^9)(14.23x10^-9)/(d)^2
d = 0.079 m = 7.9 cm