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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- A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. a)Enter an expression for the radius R in terms of G, M and v. b)Calculate the value of R in meters. c)Enter an expression for the gravitational potential energy PE in terms of G, M, m, and R.Step by step please. Thank you.Sally and Sam are in a spaceship that comes to within 13,000 km of the asteroid Ceres. Determine the force Sally experiences, in N, due to the presence of the asteroid. The mass of the asteroid is 8.7 1020 kg and the mass of Sally is 74 kg. For calculation purposes, assume the two objects to be point masses. N?
- Can you please help me with this question please? Thank you so much!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 IntegrationYou 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 ?
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