After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 50.0 cm. She finds that the pendulum makes 100 complete swings in 136 s. What is the value of g on this planet?

g = 10.67 m/s²

Explanation:

The period of a simple pendulum is given as;

T = 2π√(L / g)

Where;

T = period

L = length of spring

g = acceleration due to gravity

Now, in the question we want to find g and we are given L but not given the period.

We are given

So let's find the period (T)

We are given total number of oscillations and time taken to complete those oscillations. Thus, we can express period as;

T = time taken/total number of oscillations

So, T = 136/100 = 1.36

Thus,

1.36 = 2π√(L / g)

1.36/2π = √(L / g)

Taking the square of both sides, we have;

(1.36/2π)² = L/g

0.04685 = L/g

We are given that; L = 50cm = 0.5m

So,

0.04685 = 0.5/g

g = 0.5/0.04685

g = 10.67 m/s²

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.

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