Definance Drake is fleeing a Cubarb parasite (evil creatures which are floating

Question

Definance Drake is fleeing a Cubarb parasite (evil creatures which are floating multicolored cubes and eat humans) in a seemingly derelict cargo freighter. In addition to the recoil she gained from flinging her air cannister at the parasite, she once more uses her jet boots to give herself a velocity of 5 m/s (as a reminder her mass is 70 kg). Ahead of her, the corridor takes a 90 degree turn to the right. Defiance grabs a handhold on the wall intending to swing around the corner (describing part of a circle). If her arms can provide up to 3000 N of force before buckling, and are 0.85m long, can she make the turn? If she makes the turn (at constant speed), how would her kinetic energy change?

Explanation / Answer

The tension in her hand is going to provide the required centripetal force to make the circular shaped turn.

The turn is going to have a radius of 0.85 metre and is being made with a speed of 5 m/s.

Required centripetal force = mv^2/r = 70 * 5^2 / 0.85 = 2060 Newton.

Since this requirement of force is less than the buckling force (3000 N), she will be able to make the turn safely.

Kinetic Energy will remain constant as the speed does not change in the Uniform Circular Motion that she undergoes (ofcourse is her mass remains constant and safe from the Cubarb Parasite!)

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