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Chapter 7: Q. 30 (page 178)

A Federation starship 2.0脳106kguses its tractor beam to pull a shuttlecraft 2.0脳104kgaboard from a distance of 10km away. The tractor beam exerts a constant force of 4.0脳104N on the shuttlecraft. Both spacecraft are initially at rest. How far does the starship move as it pulls the shuttlecraft aboard?

Short Answer

Expert verified

The distance moved by starship is0.0945km.

Step by step solution

01

Given information

Mass of the starship, m1=2脳106kg

Mass of shuttlecraft, m2=2脳104kg

Distance between starship and shuttlecraft d=10km

ForceF=4脳104N

02

Explanation

No external force is acting on the system , so there will be no change in the CM of the system . Their movement will be controlled accordingly. If r is the displacement in m1 , d - r will be displacement in m2.

m1r=m2d-rr=m2dm1+m2r=2.1脳104kg10km2.2脳106kg+2.1脳104kgr=0.0945km

The distance moved by star-ship is0.0945km.

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