ZuoTi.Pro
Question

An astronaut with a mass of 70 kg is standing on the surface of a spherical...

An astronaut with a mass of 70 kg is standing on the surface of a spherical asteroid that is 10 km in diameter and has a mass of 1x1015 kg. He knows he can jump straight up 0.2 meters on Earth with his spacesuit on. Can he generate enough energy by jumping to propel himself high enough off of the surface of the asteroid to grab a spacecraft that is orbiting 1 km above? (G=6.67x10-11Nm2/kg2 , g=9.8m/s2)

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

The formula for gravitational field due to asteroid at its surface

g_{asteroid} = \frac{GM}{r^{2}}

putting all the values we get

g_{asteroid} = 0.2668*10^{-2} m/s^{2}

maximum height is given as

H_{max}= v^{2}/2a

Keeping v same for earth and asteroid we can see that

H_{asteroid}* g_{asteroid}= H_{earth}*g_{earth}

H_{asteroid}= 0.2*9.8*10^{2} / 0.2668 =0.735 km

no maximum height comes less than 1 km, so its not possible to jump at that height

0 0
Add a comment
Know the answer?
Add Answer to:
An astronaut with a mass of 70 kg is standing on the surface of a spherical...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 2. A strange spherical asteroid has a density of 5200. kg/m2 with an outer radius of...

    2. A strange spherical asteroid has a density of 5200. kg/m2 with an outer radius of 200.0 km, Symmetricalily in the center of the asteroid is a spherical cavity 75.0 km in diameter. A 2500. kg spacecraft from Earth orbits the asteroic 25.0 km above its surface in a circular orbit. What is the orbital period (in hours) of the spacecraft? Ignore the gravity of all other bodies.

  • 10. An astronaut is standing on the surface of a planetary satellite that has a radius...

    10. An astronaut is standing on the surface of a planetary satellite that has a radius of 1.74 x 106 m and a mass of 7.35 x 1022 kg. An experiment is planned where a projectile needs to be launched straight p from the surface. What must be the minimum initial speed of the projectile so it will reach a height of 2.55 x 106 m above this satellite's surface? G = 6.67 x 1011 kg2

  • Checkpoint 3.03 (Multistep) A roughly spherical asteroid has a mass of 2.8 x 10 kg and...

    Checkpoint 3.03 (Multistep) A roughly spherical asteroid has a mass of 2.8 x 10 kg and a radius o, question part ▼ Part1 Your answer is incorrect. Try again. (a) What is the value of the constant g at a location on the surface of the asteroid? 2.8e20 the tolerance is +/-246 By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Attempts: 1 of 9 used SAVT...

  • An astronaut is on an asteroid. The astronaut has a mass of 100 kg, and she...

    An astronaut is on an asteroid. The astronaut has a mass of 100 kg, and she wears bootsthat are approximately a rectangle 10 cm×30 cm. There happens to be a puddle of liquidmercury on the asteroid, which the astronaut steps in, and she notices that her boot does notbreak the surface of the mercury. She proceeds to walk carefully across the puddle withoutbreaking the surface. What is the maximum acceleration due to gravity near the asteroid’ssurface, in units of the...

  • An astronaut is on an asteroid. The astronaut has a mass of 100 kg, and she...

    An astronaut is on an asteroid. The astronaut has a mass of 100 kg, and she wears boots that are approximately a rectangle 10 cm × 30 cm. There happens to be a puddle of liquid mercury on the asteroid, which the astronaut steps in, and she notices that her boot does not break the surface of the mercury. She proceeds to walk carefully across the puddle without breaking the surface. What is the maximum acceleration due to gravity near...

  • Consider a spherical asteroid with a radius of 20 km and a mass of 9.25 ✕...

    Consider a spherical asteroid with a radius of 20 km and a mass of 9.25 ✕ 1015 kg. Assume the asteroid is roughly spherical. (a) What is the acceleration due to gravity on the surface of this asteroid? m/s2 (b) Suppose the asteroid spins about an axis through its center, like the Earth, with a rotational period T. What is the smallest value T can have before loose rocks on the asteroid's equator begin to fly off the surface? h

  • An astronaut of mass 84.0 kg is taking a space walk to work on the International...

    An astronaut of mass 84.0 kg is taking a space walk to work on the International Space Station. Because of a malfunction with the booster rockets on his spacesuit, he finds himself drifting away from the station with a constant speed of 0.690 m/s. With the booster rockets no longer working, the only way for him to return to the station is to throw the 8.95 kg wrench he is holding. In which direction should he throw the wrench? away...

  • A 345 kg satellite is orbiting 15500 km above the surface of Earth. The mass and...

    A 345 kg satellite is orbiting 15500 km above the surface of Earth. The mass and radius of Earth are 5.972e+24 kg and 6378 km respectively. What is the kinetic energy of the satellite?

  • Consider an object of mass 60 kg on the surface of the Moon, which has a...

    Consider an object of mass 60 kg on the surface of the Moon, which has a mass of 7.3 x 1022 kg and a radius of 1740 km. Calculate the gravitational force experienced by the object due to the Moon Note: you may find the following information useful -- the universal gravitational constant is 6.67x10-11 Nm2/kg2 3.2 N 0 9.8 N O 11.6N O 588.0 N O 96.5 N

  • Consider the expression for potential energy at the surface of a spherical mass GMm R. Р.Е....

    Consider the expression for potential energy at the surface of a spherical mass GMm R. Р.Е. where M is the mass and R is the radius of the spherical mass, and m is the mass of some object at the surface. Show that the difference between this potential and that of an object a distance h above the surface is mgh, where g is a constant that is the same for any m or h. Derive an expression for g...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT