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(1) An asteroid is moving along a straight line. A force acts along the displace

ID: 1696736 • Letter: #

Question

(1) An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 3.2 × 104 kg, and the force causes its speed to change from 7700 to 5700 m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.2 × 106 m determine the magnitude of the force.

(2) Rocket Man" has a propulsion unit strapped to his back. He starts from rest on the ground, fires the unit, and accelerates straight upward. At a height of 17 m, his speed is 4.9 m/s. His mass, including the propulsion unit, has the approximately constant value of 131 kg. Find the work done by the force generated by the propulsion unit.

Explanation / Answer

1). work done by the force.
W=0.5*m*(v1^2-v2^2)=4.3e11(J).
We have
W=F*distance.
so F=1.95e5(N).
2)energy is conserved.

so let the work done by the force be W.

W=mgh+mv^2/2=2.34e4(J)