Question

An astronaut on Pluto attaches a small brass ball to a 1.00-m length of string and makes a simple pendulum. She times 10 complete swings in a time of 257 seconds. From this measurement she calculates the acceleration due to gravity on Pluto. What is her result

Answer 1

The acceleration due to gravity on Pluto can be calculated using the formula for the period of a simple pendulum.

Step-by-step explanation:

The acceleration due to gravity on Pluto can be calculated using the formula for the period of a simple pendulum:

T = 2π√(L/g)

where T is the period of the pendulum, L is the length of the string, and g is the acceleration due to gravity. We can rearrange this equation to solve for g:

g = (4π²L) / T²

Given the length of the string as 1.00 m and the period of 10 complete swings as 257 seconds, we can plug in these values and calculate the acceleration due to gravity on Pluto.

Answer 2

The acceleration due to gravity at Pluto is 0.0597 m/s^2.

Step-by-step explanation:

Length, L = 1 m

10 oscillations in 257 seconds

Time period, T = 257/10 = 25.7 s

Let the acceleration due to gravity is g.

Use the formula of time period of simple pendulum

`T = 2\pi\sqrt{(L)/(g)}\\\\25.7 = 2 * 31.4\sqrt{(1)/(g)}\\\\g = 0.0597 m/s^2`