Question

Asked Oct 27, 2019

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A Federation starship ( 2.10×10^{6} kg ) uses its tractor beam to pull a shuttlecraft ( 2.10×10^{4} kg ) aboard from a distance of 18.0 km away. The tractor beam exerts a constant force of 4.0×104N on the shuttlecraft. Both spacecraft are initially at rest.

How far does the starship move as it pulls the shuttlecraft aboard?

Step 1

**Given information:**

Mass of the shuttle craft (m_{s}) = 2.10 × 10^{4} kg

Mass of the Federation ship (m_{f}) = 2.10 × 10^{6} kg

Force excreted by the tractor beam (F) = 4 × 10^{4 }N

Distance between the two ships (s) = 18 km

Step 2

As the tractor beam excretes a force “F” on shuttle craft it causes a reaction force of the same magnitude on the Federation ship, hence both ships are accelerated due the force “F” but in the opposite direction. The magnitude of this acceleration is given by:

Step 3

Given that the space crafts are 18 km away from each other and are initially at rest i.e. (u = 0) for both the ships. If they started coming towards each other then let the point at which they meet be measured as “x km” from initial point of federation ship. It is obvious that this poi...

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