Please help me out thank you.

In the pendulum formula , we use g = 9.8 m/s2 for the acceleration due to gravity on Earth. But what about on the Moon? If an as

Alex Ar [27]

Answer:

The acceleration due to gravity on the moon is 1.642 m/s².

Step-by-step explanation:

Given : In the pendulum formula , we use g = 9.8 m/s2 for the acceleration due to gravity on Earth. If an astronaut on the surface of the moon swings a 1-meter long pendulum, and it has a period of 4.9 seconds.

To find : What is the acceleration due to gravity, g, on the moon?

Solution :

The pendulum formula is $T=2\pi \sqrt{\frac{L}{g}}$

where, T is the time period,

L is the length of the pendulum,

g is the acceleration due to gravity

We have to find the value of g acceleration due to gravity on the moon.

The formula became,

$g'=(\frac{2\pi}{T})^2\times L$

Substitute T=4.9 seconds , L= 1 m

$g'=(\frac{2\times 3.14}{4.9})^2\times 1$

$g'=(\frac{6.28}{4.9})^2$

$g'=\frac{39.4384}{24.01}$

$g'=1.642$

The acceleration due to gravity on the moon is 1.642 m/s².

5 0

3 years ago

Read 2 more answers

Fiona wants 6 red, 3 green and 3 yellow buttons on her dress. All buttons must be placed along a straight vertical line with no

elixir [45]

The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.

In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.

i.e $_{n}$ $P_{r}$ = $\frac{n!}{(n - r)!}$