Question

a skier is traveling fast down a mountain slope. the table shows data collected on the skier at a particular instant.
mass 64 kg
weight 608 n
velocity 21 m/s, forward
force of skier pushing forward 45 n, forward
force of friction 6 n, backward
the normal force of the ground on the skier depends on which value in the table?
a. the skiers velocity
b. the force of friction
c. the skiers weight
d. the force of the skier pushing forward

Explanation:

The normal force \(N\) is the force exerted by a surface to support the weight of an object resting on it. On a horizontal surface, \(N = mg\) (where \(mg\) is the weight). Velocity (\(A\)) affects motion but not the normal force. Friction (\(B\)) is related to \(N\) (\(f=\mu N\)) but \(N\) is not dependent on \(f\). The force of the skier pushing forward (\(D\)) is a horizontal force and doesn't affect the vertical normal force. The skier's weight (\(C\)) (which is \(mg\)) directly relates to the normal force (assuming a horizontal - like situation on the slope's relevant component, but in basic terms for this problem).

Answer:

C. The skier's weight