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Chapter 6: Q58P (page 280)

The radius of Mars (from the center to just above the atmosphere) is (3400 km 3400脳103m), and its mass is 0.6脳1024kg . An object is launched straight up from just above the atmosphere of Mars. (a) What initial speed is needed so that when the object is far from Mars its final speed is 1000m/s? (b) What initial speed is needed so that when the object is far from Mars its final speed is 0m/s? (This is called the escape speed.)

Short Answer

Expert verified

(a) The initial speedwhen the object is far from Marsits final speed is 1000m/sis 4.827脳103m/s

(b) The initial speed when the object is far from Mars its final speed is 0 m/s is4.826脳103m/s

Step by step solution

01

Identification of given data

  • The radius of Mars is 3400 km
  • The mass is 0.6脳1024kg
  • The final speed is 1000m/s
02

Definition of the Escape Speed

The Escape Speed is defined as the minimum speed required to break free an object from the gravitational pull of a planet.

03

(a) Calculation of the initial speed when the object is far from Mars its final speed is 1000 m/s

The principle of the conservation of energy is the addition of final kinetic and potential energy is equal to the addition of initial kinetic and potential energy,

The expression will be,

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