A monkey a mass 15 kg is climbing on a rope with one end fixed to the ceiling. If it whishes to go up with an acceleration of `1 m/s^2`, how much force should it apply to the rope? If the rope is 5 m long and the monkey starts from rest, how much time will it take to reach the ceiling?

Explanation

To solve the problem step by step, we will break it down into two parts: calculating the force the monkey needs to apply to the rope and determining the time it takes for the monkey to reach the ceiling.

### Part 1: Calculating the Force Applied by the Monkey

1. **Identify the Given Data:**
- Mass of the monkey, \( m = 15 \, \text{kg} \)
- Acceleration desired, \( a = 1 \, \text{m/s}^2 \)
- Gravitational acceleration, \( g = 9.8 \, \text{m/s}^2 \) (we can approximate this to \( 10 \, \text{m/s}^2 \) for simplicity)
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