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amzz · Sep 23, 2009, 01:32 PM

A space ship of mass 5.00 × 18*4 kg is traveling at a speed 1.15 × 10*4 m/s in outer
space. Except for the force generated by its own engine, no other force acts on
the ship. As the engine exerts a constant force of 4.00 × 10*5 N, the ship moves a
distance of 2.50 × 10*6 m in the direction of the force of the engine.
(a) Determine the final speed of the ship using the work-energy theorem.
(b) Determine the final speed of the ship using the kinematic equations.

Unknown008 · Sep 24, 2009, 09:03 AM

1. Work out the kinetic energy of the space ship. $E_\small{K} = \frac12 mv^2$
Work out the work done by the ship $Work = Force \times Displacement$
Work out the total energy the ship possesses.
Work out the speed of the ship using $E_\small{K} = \frac12 mv^2$ .

2. The initial speed is 1.15 x 10^4 m/s.
Find the acceleration of the ship using F = ma
Use $v^2 = u^2 +2as$ to find the final speed of the ship. (v = final velocity, u, the initial velocity, a the acceleration and s the displacement)