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Chapter 3: Q27P (page 124)

At t = 532.0s after midnight, a spacecraft of mass 1400 kg is located at position (3x105, 7x105,-4x105 ) m, and at that time an asteroid whose mass is 7 x 10 15 kg is located at position (9 x 10 ^ 5, - 3 x 10 ^ 5, - 12 x 10 ^ 5) m. There are no other objects nearby. (a) Calculate the (vector) force acting on the spacecraft. (b) At t=532.0: the spacecraft's momentum wasand at the later time t = 538.0s its momentum was.Calculate the (vector) change of momentum

Short Answer

Expert verified

  1. The value of vector force

  2. Change in vector momentum

Step by step solution

01

Identification of given data

  • Mass of spacecraft

  • Positions of spacecraft

  • Mass of asteroid
02

Calculation of the vector force

(a) According to the Newton’s low of gravitation

Where

G – Gravitational constant

Mass of 1 object

Mass of 2 objects

Distance between two object


03

Calculation of change in vector momentum

(b) The spacecraft momentum

When t=532 s

When t=538 s

Then the value of

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