Problem 70GP

A 68-kg skier encounters a dip in the snow’s surface that has a circular cross section with a radius of curvature of 12 m. If the skier’s speed at point A in Figure is 8-0 m /s, what is the normal force exerted by the snow on the skier at point B? Ignore frictional forces.

FIGURE

Solution 70GP

Step 1 of 4

Here we need to calculate the normal force exerted by the snow on the skier when he is at point B.

In the given case, the skier of mass is with initial speed when he is at point A. During the journey, he encounters a dip snow’s circular surface with radius and reaches point. The point B is at height and point A is at height .

Given data,

Initial speed

Mass

Radius

Height of point B,

Height of point B,

To find,

Final speed of skier at point B,

Normal force,