Final answer:
The normal force on the skier is approximately 508.83 N, and the predicted velocity after falling for 1.5 seconds is approximately 14.715 m/s.
Step-by-step explanation:
The question asks for the calculation of the normal force on a 63kg skier at the top of a ramp and her predicted velocity after falling for 1.5 seconds.
To find the normal force, we use the component of the skier's weight perpendicular to the slope. The gravitational force (weight) acting on the skier is Fg = m \cdot g, where m is her mass (63kg) and g is the acceleration due to gravity (9.8 m/s^2). The normal force is Fg \cdot cos(\theta), where \(\theta\) is the slope angle (36 degrees).
Normal force: N = 63kg \cdot 9.8 m/s^2 \cdot cos(36 degrees) ≈ 508.83 N
To find the predicted velocity after 1.5 seconds, we use the kinematic equation v = u + at, where u is the initial velocity (0 m/s, since she is at the top of the ramp), a is the acceleration due to gravity, and t is time. v = 0 m/s + 9.8 m/s^2 \cdot 1.5 s ≈ 14.7 m/s. There is no need for a negative sign in the velocity since we are considering the magnitude of the velocity.
The correct answer would be B: Normal force ≈ 508.83 N, Predicted velocity ≈ 14.715 m/s.