An iguana launches itself off the edge of a table using a spring. The spring in the launcher has a spring constant of 500 N/m, the combined mass of the box and the iguana is 4.0kg. The coefficient of kinetic friction between the box and the table is 0.3. If the spring is initially compressed a distance of 75.0cm and the iguana is initally 6.5 m away from the end of the table, how fast will the iguana be moving when it reaches the end of the table?
The body diagram of iguana can be shown as,
Here normal force N is,
friction force f is,
and the spring force is,
Thus the acceleration of iguana can be calculated as,
The initial velocity of iguana is 0 and distance covered is 6.5 m. Thus the final velocity can be calculated as,
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