In 1992, an ice palace estimated to be 4.90 x 106 kg was built in Minnesota. Des

Question

In 1992, an ice palace estimated to be 4.90 x 106 kg was built in Minnesota. Despite this sizable mass, this structure could be moved at a constant velocity because of the small force of friction between the ice blocks of its base and the ice of the lake which it was constructed. Imagind moving the entire palace with a speed of 0.200 m/s on this very smooth, icy surface. once the palace is no longer being pushed, it coasts to a stop in 10.0 s. What is the average force of the kinetic friction acting on the palace? what us tge palace's stopping distance?

Explanation / Answer

Given Mass of the palace , m = 4.90*10^6 kg Initial velocity , vi = 0.2 m/s Time taken is , t = 10s The distance travelled in 10s is     s = vit = 0.2 m/s *10 s     s = 2 m is the stopping distance By workenergy theorem fr *s = 1/2mv^2-1/2mvi^2 fr *2 m = 0 -0.5 *(4.90*10^6 kg) *(0.2 m/s)^2   fr = -4 .9 *10^5 N is the frictional force

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