Holding on to a tow rope moving parallel to a frictionless ski slope, a 45 kg skier is pulled up the slope, which is at an angle of `8.0^(@)` with the horizontal. What is the magnitude `F_("rope")` of the force on the skier from the rope when (a) the magnitude v of the skier's velocity is constant at 2.0 m/s and (b) v = 2.0 m/s as v increases at a rate of `0.10" m"//"s"^(2)` ?

Explanation

To solve the problem step by step, let's break it down into two parts as given in the question.

### Given Data:
- Mass of the skier, \( m = 45 \, \text{kg} \)
- Angle of the slope, \( \theta = 8^\circ \)
- Gravitational acceleration, \( g = 9.8 \, \text{m/s}^2 \)

### Part (a): When the skier's velocity is constant at \( 2.0 \, \text{m/s} \)
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