6. A new event has been proposed for the Winter Olympics. As seen in the figure, an athlete will sprint 100 m, starting from rest, then leap onto a 20 kg bobsled. The person and bobsled will then slide down a 50-m-long ice-covered ramp, sloped at 20°, and into a spring with a carefully calibrated spring constant of 2000 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40 kg, has been training for this event. She can reach a maximum speed of 12 m/s in the 100 m dash. 20° ww (a) How far will Lisa compress the spring? (b) The Olympic committee has very exact specifications about the shape and angle of the ramp. Is this necessary? What factors about the ramp are important?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter9: Energy In Nonisolated Systems
Section: Chapter Questions
Problem 51PQ: A small 0.65-kg box is launched from rest by a horizontal spring as shown in Figure P9.50. The block...
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### Proposed Winter Olympics Event

A new event has been proposed for the Winter Olympics. In this event, an athlete will sprint 100 meters, starting from rest, then leap onto a 20 kg bobsled. The person and bobsled will then slide down a 50-meter-long ice-covered ramp, sloped at 20 degrees, and into a spring with a carefully calibrated spring constant of 2000 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40 kg, has been training for this event. She can reach a maximum speed of 12 m/s in the 100 m dash.

#### Questions:

(a) How far will Lisa compress the spring?

(b) The Olympic committee has very exact specifications about the shape and angle of the ramp. Is this necessary? What factors about the ramp are important?

---

### Diagram Explanation

The diagram shows:

- An athlete at the top of a ramp, positioned to leap onto a bobsled.
- A bobsled on a 20-degree inclined ramp that is 50 meters long.
- A spring at the bottom of the ramp, meant to be compressed by the bobsled once it reaches the bottom.

The ramp and spring setup is essential for converting the athlete’s kinetic energy into potential energy in the spring, making the ramp's angle and surface important factors to consider in this event.
Transcribed Image Text:### Proposed Winter Olympics Event A new event has been proposed for the Winter Olympics. In this event, an athlete will sprint 100 meters, starting from rest, then leap onto a 20 kg bobsled. The person and bobsled will then slide down a 50-meter-long ice-covered ramp, sloped at 20 degrees, and into a spring with a carefully calibrated spring constant of 2000 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40 kg, has been training for this event. She can reach a maximum speed of 12 m/s in the 100 m dash. #### Questions: (a) How far will Lisa compress the spring? (b) The Olympic committee has very exact specifications about the shape and angle of the ramp. Is this necessary? What factors about the ramp are important? --- ### Diagram Explanation The diagram shows: - An athlete at the top of a ramp, positioned to leap onto a bobsled. - A bobsled on a 20-degree inclined ramp that is 50 meters long. - A spring at the bottom of the ramp, meant to be compressed by the bobsled once it reaches the bottom. The ramp and spring setup is essential for converting the athlete’s kinetic energy into potential energy in the spring, making the ramp's angle and surface important factors to consider in this event.
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