ME1520 D Term 2000

Homework 3. Pushing

Due in class on Tuesday, 11 April

Scenario for problems 1-5:

On the flats a 85kg skier is initially going 9m/s in a turn with a radius of 16m.

Neglect air drag. Neglect ski-snow friction.

The skier steps to the inside of the turn with a pure lateral push so that the radius of the turn is reduced to 15m (assume the edge and lean angles change appropriately).

1. What is the speed of the skier on the new radius?
2. How much work was done to move to the new radius?
3. What was the average lateral force required to move to the new radius?
4. What was the initial lateral force?
5. What was the final lateral force?

 

 

Extra credit:

Scenario for problems 6 and 7:

The same skier is still on the flats and once again moving at 9m/s, but now along a straight line. The skier makes a lateral push over a distance of 1m with an average force of 475N. Neglect air drag. Neglect ski-snow friction.

6. What is the final speed of the skier?
7. What is the direction change?

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