A student in Europe performs the same experiment, but the AC frequency there is 50 Hz. How different length of sensitized tape will he need in order to get 25 spark marks, compared to the length of your tape for the same number of marks? Give the result in centimeters.

Answer and Explanation:

The computation is shown below:

The ac frequency in the United States is 60 Hz

The ac frequency in Europe is 50 Hz

So,

Time for 25 spark in United stated is 25 ÷ 60 s

Time for 25 spark in Europe is 25 ÷ 50 s

Now

Tape length in United States is

= 0.5 × 9.8 × (25 ÷ 60)^2

= 0.85 m

= 85 cm

And,  

Tape length in europe is

= 0.5 × 9.8 × (25 ÷ 50)^2

= 1.225 m

= 122.5 cm

So, As it can be seen that

= 122.5 cm - 85 cm

=  37.5 cm

Europe has 37.5 cm more than in the United States

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day