Reduced oscillation on higher altitudes

[Calpalned]

Homework Statement

If a simple pendulum is taken from sea level to the top of a high mountain and started at the same angle of five degrees, it would oscillate at the top of the mountain
a) slightly slower
b) slightly faster
c) at exactly the same frequency
d) not at all - it would stop
e) none of the above

Homework Equations

Period = $T = 2 \pi \sqrt {\frac{l}{g}}$

The Attempt at a Solution

The correct answer is (a). Does this have to do with gravity being less on the mountain?

If gravity were reduced, force (and in turn acceleration) would be reduced, which indicates a slower velocity. But period, according to the equation above, doesn't depend on mass...

Thank you all for clearing my confusion up.

 

[SammyS]

Homework Statement

If a simple pendulum is taken from sea level to the top of a high mountain and started at the same angle of five degrees, it would oscillate at the top of the mountain
a) slightly slower
b) slightly faster
c) at exactly the same frequency
d) not at all - it would stop
e) none of the above

Homework Equations

Period = $T = 2 \pi \sqrt {\frac{l}{g}}$

The Attempt at a Solution

The correct answer is (a). Does this have to do with gravity being less on the mountain?

If gravity were reduced, force (and in turn acceleration) would be reduced, which indicates a slower velocity. But period, according to the equation above, doesn't depend on mass...

Thank you all for clearing my confusion up.

Mass doesn't depend upon gravity either.

 

[Calpalned]

Mass doesn't depend upon gravity either.

If that's the case, then why does the pendulum oscillate slower?

 

[SammyS]

If that's the case, then why does the pendulum oscillate slower?

Weight does depend upon gravity. Mass doesn't.

 

[rude man]

If that's the case, then why does the pendulum oscillate slower?

What is g on the mountaintop compared to sea level?

 

[Calpalned]

What is g on the mountaintop compared to sea level?

g (gravity) is less. But SammyS said that "mass doesn't depend on gravity". So does gravity matter or not?

 

[CWatters]

g (gravity) is less. But SammyS said that "mass doesn't depend on gravity".

He's right. The mass of an object doesn't depend on gravity. A man has the same mass on the moon as on earth.

So does gravity matter or not?

Look carefully at the equation. It contains a term for g but not m.