Question

The 49-kg boy is sliding down the smooth spiral slide as shown in (Figure 1) such that his zzz coordinate decreases 2 m2 \mathrm{~m}2 m per turn of the spiral and his speed is 2 m/2 \mathrm{~m} /2 m/ Explain the motion of the boy sliding down the spiral slide and the changes in his position and speed.

Answer 1

The boy's motion on the spiral slide is a combination of constant linear velocity and uniform circular motion.

Step-by-step explanation:

The motion of the boy sliding down the spiral slide can be described as a combination of circular motion and linear motion. As the boy slides down the smooth spiral slide, his z coordinate decreases by 2 m per turn of the spiral, indicating a linear motion in the downward direction.

The boy's speed is 2 m/s, which indicates a constant linear velocity. However, since the spiral slide is curved, the boy is also undergoing circular motion. This circular motion is responsible for the change in his z coordinate per turn of the slide.

Therefore, the boy's motion on the spiral slide can be described as a combination of constant linear velocity and uniform circular motion.