Answer:
The frequency of the oscillation is 2.45 Hz.
Explanation:
Given;
mass of the spring, m = 0.5 kg
total mechanical energy of the spring, E = 12 J
Determine the spring constant, k as follows;
E = ¹/₂kA²
kA² = 2E
k = (2E) / (A²)
k = (2 x 12) / (0.45²)
k = 118.519 N/m
Determine the angular frequency, ω;

Determine the frequency of the oscillation;
ω = 2πf
f = (ω) / (2π)
f = (15.396) / (2π)
f = 2.45 Hz
Therefore, the frequency of the oscillation is 2.45 Hz.
Answer:
The total work done by Brad each day is 176400 J
Explanation:
Hi there! The work done by a force (F) pointed in the same direction as the displacement (d) is calculated as follows:
W = F · d
The force applied is equal to the weight of Brad, that is calculated as follows:
Weight = m · g
Where:
m = mass of Brad
g = acceleration due to gravity (9.8 m/s²)
Then:
Weight = 60 kg · 9.8 m/s² = 588 N
Let´s find the vertical distance traveled by Brad each day:
He exercises 20 min per day. Each minute Brad does 60 steps. In total, Brad steps up (20 min · 60 steps/min) 1200 steps. If each step has a height of 0.25 m, the total distance traveled by Brad will be
(1200 steps · 0.25 m/step) 300 m.
Then, the total work done by Brad is
W = F · d
W = 588 N · 300 m
W = 176400 J
The total work done by Brad each day is 176400 J
Answer:
The current of the outer coil is 
Explanation:
From the question we are told that
The number of turns of the inner coil is 
The radius of the inner coil is
The current of the inner coil is 
The number of turns of the outer coil is 
The radius of the outer coil is 
Generally the net magnetic field is mathematically represented as

Now from told that the net magnetic field is common
So

Here
is the permeability of free space
making
the subject

substituting values


There’s something wrong with this equation!!! Verify the equation!!!