2GM The asteroid Pallas has a mass of 2.11 x 1020 kg and an average radius of about 256 km (2.56 x 102 km). What is its escape velocity (in m/s)? (Hints: Use the formula for escape velocity, V. = remember to convert units to m, kg, and s.) m/s Could you jump off the asteroid? O Yes O No

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B. Answer the following problems. Show your complete solutions. 1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m? 2. A spherical balloon is being inflated. Find the rate of increase if the surface area (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m C. 0.91 m Differentiation and Integration

You have been visiting a distant planet. Your measurements have determined that the planet's mass is four times that of earth but the free-fall acceleration at the surface is only one-fourth as large. You may want to review (Pages 344-346). Part A What is the planet's radius? Express your answer with the appropriate units. Rp = Submit Part B μA Value X Incorrect; Try Again V = Previous Answers Request Answer To get back to earth, you need to escape the planet. What minimum speed does your rocket need? Express your answer with the appropriate units. μA Value m X Incorrect; Try Again km S ? Submit Previous Answers Request Answer ?

Help with physics review

A rocket is launched straight up from the earth's surface at a speed of 1.50x104 m/s. You may want to review (Pages 344-346). For help with math skills, you may want to review: Mathematical Expressions Involving Squares Part A What is its speed when it is very far away from the earth? Express your answer with the appropriate units. ► View Available Hint(s) CHμA Value Units

A newly discovered planet X has a mass of 36.7 × 1023 kg and radius 2.47 × 106 m.  What is g on this planet's surface, in m/s2?

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Newton's law of universal gravitation can be expressed by the equation Mm F= G where F is the gravitational force, M and m are masses, and ris a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G? m2 kg ·s m2 kg · s2 m3 kg . s2 m3 kg - s3

You are given the equation used to solve a problem: (6.67 × 10-¹¹N m²/kg²)(5.98 × 10²4 kg)(1000 kg) p2 Part A Choose the correct realistic problem for which this is the correct equation. Submit A 1000 kg comet falls on the earth with a speed of 1997 m/s when it reaches the surface. What was the radius of its orbit? A 1000 kg satellite orbits Saturn with a speed of 1997 m/s. What is the radius of the orbit? A 1000 kg satellite orbits the earth with a speed of 1997 m/s. What is the radius of the orbit? A 1000 kg comet falls on Saturn with a speed of 1997 m/s when it reaches the surface. What was the radius of its orbit? Part B r = Previous Answers Correct Finish the solution of the problem. Express your answer with the appropriate units. (1000 kg) (1997 m/s)² p C'H μA Value Units ?