Question

In the future, astronouts are on a distant moon that is 670.6 Km in diameter. While...

In the future, astronouts are on a distant moon that is 670.6 Km in diameter. While there, they observe that a 2.0m long pendulum takes 5.701 times longer than the pendulum did when it was back on earth. What is the mass of the moon.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Gravitational constant = G = 6.67 x 10-11 N.m2/kg2

Gravitational acceleration on Earth = g1 = 9.81 m/s2

Gravitational acceleration on the moon = g2

Length of the pendulum = L = 2 m

Time period of the pendulum on Earth = T1

Time period of the pendulum on the moon = T2

The time period on the moon is 5.701 times longer than on Earth.

T2 = 5.701T1

Squaring both sides,

g2 = 0.302 m/s2

Diameter of the moon = D = 670.6 km

Radius of the moon = R = D/2 = 670.6/2 = 335.3 km = 335.3 x 103 m

Mass of the moon = M

M = 5.09 x 1020 kg

Mass of the moon = 5.09 x 1020 kg

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the distant future, space explorers from earth discover a new planet. They can measure the...
In the distant future, space explorers from earth discover a new planet. They can measure the radius of the planet to be 7350 km, but they want to know its mass. They observe what the planet has a moon in a circular orbit 32,800 km above the surface of the planet. The moons orbit speed is 3.9 1 km/s. A) find the mass of the planet B) how much would a 65 kg person weigh on the surface of this...
Imagine that an asteroid is approaching the Moon. While far away from the Moon it is...
Imagine that an asteroid is approaching the Moon. While far away from the Moon it is moving at 1 km/s, but as it approaches the Moon, it will accelerate due to the Moon’s gravity. The asteroid has a mass of 1012 kg. The Moon has a mass of 7.35x1022 kg and a radius of 1737 km. A) How fast will the asteroid be moving when it hits the surface of the Moon? B) How much kinetic energy will be released...
The moon has a mass of 7.40 x 10^22 kg and a diameter of 3476 km....
The moon has a mass of 7.40 x 10^22 kg and a diameter of 3476 km. How long does it take a spaceship to go in a circular orbit around the moon where the orbit is just slightly above the surface of the moon?
Saturn's moon Titan has a mass of  1.3452 x 1023 kg , a diameter of 5,150 km,...
Saturn's moon Titan has a mass of  1.3452 x 1023 kg , a diameter of 5,150 km, and an atmosphere made mostly of N2  at a constant temperature of  -179 degrees Celsius .  Assume that the pressure at the surface is 50% more than on Earth. What is your best estimate of Titan's atmosphere's R constant? Use Excel to make a table that shows up to a geometric altitude of 10 km (in steps of 1000 m) pressure, and density in SI consistent units.  
In the distant future, humanity has a colony on the Moon. Remember that the free-fall acceleration...
In the distant future, humanity has a colony on the Moon. Remember that the free-fall acceleration due to gravity on the moon is about 1/6 of what it is on Earth. Gravity on Earth= 9.8 m/s^2; Gravity on Moon= 1.6 m/s^2 a) At this time, due to inflation, bananas in a supermarket on Earth cost $50/lb. They also cost $50/lb in a supermarket on the Moon. Where will you get a better deal on bananas, or is it the same...
Measuring the distance to the moon (lunar ranging) is routinely done by firing short-pulse lasers and...
Measuring the distance to the moon (lunar ranging) is routinely done by firing short-pulse lasers and measuring the time it takes for the pulses to reflect back from the moon. A pulse is fired from Earth. To send the pulse out, the pulse is expanded so that it fills the aperture of a 5.40-in-diameter telescope. Assuming the only thing spreading the beam out is diffraction and that the light wavelength is 640 nm, how large will the beam be when...
1. On occasion, the Earth-Moon-Sun system is aligned such that the Earth or Moon casts a...
1. On occasion, the Earth-Moon-Sun system is aligned such that the Earth or Moon casts a shadow partially or directly on the other body. These events are called eclipses. A lunar eclipse happens when the Moon passes through the Earth’s shadow. A solar eclipse occurs when the Moon is in a position where it blocks sunlight from getting to Earth. A. Draw a Sun-Earth-Moon diagram for each kind of eclipse (lunar and solar). Make sure you draw your diagrams large...
The Earth has a mass of 5.97 * 1024 kg and the Moon has a mass...
The Earth has a mass of 5.97 * 1024 kg and the Moon has a mass of 7.35 * 1022 kg. If they are separated by a distance of 3.85 * 105 km, what is the force (in N) between the Earth and the Moon? (Enter your answer in scientific notation: 1.23E12 means 1.23 * 1012) Then, assume the Moon travels in a perfect circle around the Earth, with masses and distances given above, and takes 27.32 days to complete...
Captain Kirk has crash landed on an unknown planet (planet X). With nothing to do while...
Captain Kirk has crash landed on an unknown planet (planet X). With nothing to do while waiting for rescue , he decides to think about physics and to learn about the planet he's on. He takes out a simple pendulum (a mass on a string), and notices that for small oscillations , the period is T = 2.0 seconds . Back on Earth', this same pendulum had a period of 1.5 seconds . Kirks' ship computer says that the radius...
Scientists use laser range- nding to measure the distance to the moon with great accuracy. A...
Scientists use laser range- nding to measure the distance to the moon with great accuracy. A brief laser pulse is red at the moon, then the time interval is measured until the \echo" is seen by a telescope. A laser beam spreads out as it travels because it di racts through a circular exit as it leaves the laser. In order for the relected light to be bright enough to detect, the laser spot on the moon must be no...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT