An asteroid is moving along a straight line. A force actsalong the displacement

Question

An asteroid is moving along a straight line. A force actsalong the displacement of the asteroid and slows it down. Theasteroid has a mass of 4.8 × 104 kg,and the force causes its speed to change from 7800 to 5900m/s.
(a) What is the work done by the force?

(b) If the asteroid slows down over a distance of1.7 × 106 m determine the magnitude ofthe force. An asteroid is moving along a straight line. A force actsalong the displacement of the asteroid and slows it down. Theasteroid has a mass of 4.8 × 104 kg,and the force causes its speed to change from 7800 to 5900m/s.
(a) What is the work done by the force?

(b) If the asteroid slows down over a distance of1.7 × 106 m determine the magnitude ofthe force.

Explanation / Answer

mass m = 4.8 * 10 ^ 4 kg Initial speed u = 7800 m / s final speed v = 5900 m / s (a).magnitude work done by the force = change inkinetic energy    Since from work energytheorem                                                           = ( 1/ 2) m [ u ^ 2 - v ^ 2 ]                                                        W= 6.2472 * 10 ^ 11 J (b). Distance S = 1.7 * 10 ^ 6 m So, force F = W / S                  = 3.67 * 10 ^ 5 N

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