Consider the glider of Example 7.7 and Fig. 7.16.

(a) As in the example, the glider is released from rest with the spring stretched 0.100 m. What is the speed of the glider when it returns to x = 0?

(b) What must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 2.50 m/s?

Example 7.7:

A glider with mass m = 0.200 kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 5.00 N/m. You pull on the glider, stretching the spring 0.100 m, and release it from rest. The glider moves back toward its equilibrium position (x = 0). What is its x-velocity when x = 0.080 m?

Figure 7.16: Our sketches and energy bar graphs for this problem.

Transcribed Image Text:

Spring relaxed k=5.00 Nm X-0 |Vix=0 *x1= 0.100 m foint 1 m= 0.200 kg E-K + Uel *xx3D0.080 m Boint 2 X- E = K+ Uel