Question

after landing on a new planet, you set up a simple pendulum of length 50 cm and find that it takes 136 seconds to make 100 complete swings. what is the value of g on this planet?

Answer 1

The value of the acceleration due to gravity (g) on the new planet is approximately 9.66 m/s².

Step-by-step explanation:

The value of acceleration due to gravity (g) on the new planet can be determined using the formula:

T = 2π√(L/g)

where T is the period of the pendulum swing, L is the length of the pendulum, and g is the acceleration due to gravity.

Given that the period of the pendulum is 136 seconds for 100 complete swings, we can calculate T as 1.36 seconds for one complete swing. We are also given the length of the pendulum as 50 cm. Plugging these values into the formula, we can solve for g:

1.36s = 2π√(0.5m / g)

Simplifying the equation, we get:

g = (2π/1.36s)2 * 0.5m = 9.66 m/s2

Therefore, the value of g on this planet is approximately 9.66 m/s2.