Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

$\bullet$ $\bullet$ An astronaut notices that a pendulum which took 2.50 s for a complete cycle of swing when the rocket was waiting on the launch pad takes 1.25 s for the same cycle of swing during liftoff. What is the acceleration of the rocket? (Hint: Inside the rocket, it appears that $g$ has increased.)

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

29.4 $\mathrm{m} / \mathrm{s}^{2}$

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

Cornell University

University of Washington

Simon Fraser University

Hope College

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

00:46

Imagine you are an astron…

01:09

Imagine you are an astrona…

03:43

A rocket is accelerating u…

01:30

A pendulum of length $L$ i…

03:30

CP A rocket is acceleratin…

05:17

01:32

Astronauts on the first tr…

I Astronauts on the first …

01:37

Astronauts on a distant pl…

for this problem, we're going to use the formula that the period is equal to pi times the square of the length of the pendulum over G. Now an object dropped inside the rocket while the rocket is accelerating upward seems tohave an acceleration of a plus G where G is 9.8. This is because gravity is pulling object down, so it's exhorting downward. But the rocket is also accelerating upward, so from the frame of reference of the rocket object is accelerating faster, downward and faster by this much here and so. First, the strategy is to use when the rocket is stationary to find out and then once we have l, we can figure out what is once the rockets starts accelerating. And so when the rocket is stationary, the period is 2.5 seconds and so playing in tea is equal to 2.5 seconds. Here, the first solving for L gives G tea over to five squared and then we can plug in what he is to be in 2.5 seconds. This yields an L value of 1.55 meters. Now this is the L value with rock the stationary, but it's also the L value when the rockets accelerating. So now we can plug this back in for L and figure out what it is. And so the new law says T is equal to two pi. I'm going to plug in 1.55 since that cell. And now, once the rockets accelerating, this is no large e. It's it's a plus, ji. So it's a plus 9 20 and the sea here is given to us as 1.25 once the rocket is accelerating and so we can solve this equation for a to figure out what the exhilaration of the rocket is given that the period is this. And when we do that, we get 29 0.4 meters per second squared, and that's the answer to problem.

View More Answers From This Book

Find Another Textbook

02:17

station layout includes 9 stations which are spaced 3 feet apart from one an…