B. Free Response. 6. A spacecraft descends vertically near the surface of Planet

Question

B. Free Response. 6. A spacecraft descends vertically near the surface of Planet A. An upward thrust of 30.0 kN from its engines slows it down at a rate of 1.50 m/s^2, but if an upward thrust of only 15.0 kN is applied, it speeds up at a rate of 1.00 m/s^2. (a) Draw a free-body diagram for the spacecraft for both cases. The exact length of your vectors will not be graded. But, its orientation and the relative length of one to the other will be graded (b) Determine the spacecraft's weight near the surface of Planet A.

Explanation / Answer

Let the gravitational pull near surface be g.

So, 30000 - Mg = 1.5M

and, Mg - 15000 = M

Add both equations 15000 = 2.5 M

So, M= 6000kg

So weight = 6000 +15000= 21000N

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