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Chapter 11: Q. 44 (page 289)

Air-track gliders with masses 300g,400g,and200gare lined up and held in place with lightweight springs compressed between them. All three are released at once. The 200gglider flies off to the right while the300g glider goes left. Their position-versus-time graphs, as measured by motion detectors, are shown in FIGURE P11.44. What are the direction (right or left) and speed of the 400 g glider that was in the middle?

Short Answer

Expert verified

The velocity of400gglider is0.0425m/s

Step by step solution

01

Step 1. Given information

The plot of position v/s time includes the expression for different gliders.

02

Step 2. Predicting the velocity

In the plot of position v/s time the slope gives the value of velocity,

Hence the velocity of glider 1 with mass 200gis 0.53m/sand that of glider 2 is-0.41m/s

03

Step 3. Applying the conservation principle

On the application of law of conservation of momentum we have,

pi=pfm1v1+m2v2+m3v3=00.2×0.53+0.3×(-0.41)+0.4×v3=00.106-0.123+0.4v3=00.4v3=0.017v3=0.0425m/s

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