Physics, 11.07.2019 07:30 hollycoleman13

Acertain simple pendulum has a period on the earth of 1.70 s . what is its period on the surface of mars, where g=3.71m/s2?

Answers: 1

Show answers

Answers

Answer from: yhbgvfcd6677

The time period for the simple the simple pendulum on the earth is

$T_{e} =2\pi \sqrt{\frac{l}{g_{e} } }$

The time period for the simple the simple pendulum on the mars is

$T_{m} =2\pi \sqrt{\frac{l}{g_{m} } }$

Here, $T_{e}$ and $T_{m}$ are the time periods on the earth and mars respectively and $g_{e}$ and $g_{m}$ are the acceleration due to gravity on earth and mars respectively.

We can also write,

$\frac{T_{e}}{T_{m}} =\frac{\sqrt{\frac{l}{g_{e}} } }{\sqrt{\frac{l}{g_{m}} } }$

$\frac{T_{e}}{T_{m}} =\sqrt{\frac{g_{m}}{g_{e}} }$

Given $T_{e} = 1.70 s$ and $g_{m} = 3.71 m/s^2$

Therefore,

$\frac{1.70 s}{T_{m} } =\sqrt{\frac{3.71 m/s^2}{9.8 m/s^2} }$

$T_{m}=\frac{1.70}{0.615} = 2.76 s$ .

Thus, the time period on the surface of mars is 2.76 sec.

Answer from: elijahcarson9015

The period of simple pendulum on the surface of Mars is about 2.76 s

$\texttt{ }$

Further explanation

Simple Harmonic Motion is a motion where the magnitude of acceleration is directly proportional to the magnitude of the displacement but in the opposite direction.

$\texttt{ }$

The pulled and then released spring is one of the examples of Simple Harmonic Motion. We can use the following formula to find the period of this spring.

$T = 2 \pi\sqrt{\frac{m}{k}}$

T = Periode of Spring ( second )

m = Load Mass ( kg )

k = Spring Constant ( N / m )

$\texttt{ }$

The pendulum which moves back and forth is also an example of Simple Harmonic Motion. We can use the following formula to find the period of this pendulum.

$T = 2 \pi\sqrt{\frac{L}{g}}$

T = Periode of Pendulum ( second )

L = Length of Pendulum ( kg )

g = Gravitational Acceleration ( m/s² )

Let us now tackle the problem !

$\texttt{ }$

Given:

Period of the pendulum on the Earth = T_e = 1.70 s

Gravitational Acceleration of the Earth = g_e = 9.8 m/s²

Gravitational Acceleration of the Mars = g_m = 3.71 m/s²

Unknown:

Period of the pendulum on the Mars = T_m = ?

Solution:

$T_e : T_m = 2 \pi\sqrt{\frac{L}{g_e}} : 2 \pi\sqrt{\frac{L}{g_m}}$

$T_e : T_m = \sqrt{\frac{1}{g_e}} : \sqrt{\frac{1}{g_m}}$

$T_m = \sqrt{\frac{g_e}{g_m}} \times T_e$

$T_m = \sqrt{\frac{9.8}{3.71}} \times 1.70$

$T_m \approx 2.76 \texttt{ s}$

$\texttt{ }$

Learn moreModel for Simple Harmonic Motion : Force of Simple Harmonic Motion : Example of Simple Harmonic Motion :

$\texttt{ }$

Answer details

Grade: High School

Subject: Physics

Chapter: Simple Harmonic Motion

$\texttt{ }$

Keywords: Simple , Harmonic , Motion , Pendulum , Spring , Period , Frequency

Acertain simple pendulum has a period on the earth of 1.70 s . what is its period on the surface of

Answer from: Quest

34535543; (; ; $

Answer from: Quest

answer: the correct answer is air pressure at the top of mount everest is higher than at the bottom of the grand canyon.

hope this : )

explanation:

Another question on Physics

Physics, 21.06.2019 19:20

How would you place two electrons on a sphere of radius r so that the electrostatic potential energy is minimized. how would you place three electrons to solve the same problem.

Answers: 1

Answer

Physics, 22.06.2019 10:00

How are the crust and the inner core alike? a) they are both solid. b) they both have the same temperature. c) they are both under the same pressure. d) they are both very close to the center of the earth.

Answers: 1

Answer

Physics, 22.06.2019 14:00

Me pl give an example of a collision in real life. use the law of conservation of energy to describe the transfer of momentum. be sure and discuss the momentum before and after the collision occurs. you will need at least 3 sentences to thoroughly answer this question.

Answers: 3

Answer

Physics, 22.06.2019 15:20

Talia is manufacturing rolls of wire for hanging pictures. she needs a material that is so that it can easily be pulled into wire without breaking.

Answers: 2

Answer

You know the right answer?

Acertain simple pendulum has a period on the earth of 1.70 s . what is its period on the surface of...

Questions