Question

Defiance Drake, Space Adventurer, is fleeing from the Cubarb parasite inside the apparently uncrewed cargo vessel. Lucky for her, her jet boots still have some charge to them, and she can use them to give her an extra boost to evade the creature. Outside the ship, her boots gave her an acceleration of 0.25g, but inside the ship, she finds herself limited at a velocity of 10 m/s to an acceleration of 0.2g (her mass is still 70 kg). What is the drag force on Defiance Drake? If she was going 20 m/s would the drag be greater or lesser?

Answer 1

Answer:

Drag force=3.5g N

Greater

Explanation:

We know that from Newton’s law of motion, boots force, F=ma where m is mass and a is acceleration of the object

Given mass of 70 Kg and a=0.25g then jet boots exert a force of F=70*0.25g=17.5g

The net force is given by subtracting the net force from the force of jet boots

$F_{boots}-F_{drag}=ma$

In the ship acceleration is limited to 0.2g. We also know that the drag force is directly proportional to velocity  squared

ma=70*0.2g=14g  N

Drag force= 17.5g-14g=3.5g  N

When the velocity is increased to 20 m/s, drag force also increases since drag force is directly proportional to velocity  squared